Add new experiment scripts, figures, and paper assets; untrack pyc/build artifactsHEADmaster

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

26 files changed, 42179 insertions, 0 deletions

diff --git a/results/synth_ladder_v2_lo/config.json b/results/synth_ladder_v2_lo/config.json
new file mode 100644
index 0000000..05347bb
--- /dev/null
+++ b/results/synth_ladder_v2_lo/config.json
@@ -0,0 +1,33 @@
+{
+  "alphas": [
+    0.0,
+    0.25
+  ],
+  "depths": [
+    2,
+    4,
+    8,
+    12
+  ],
+  "seeds": [
+    42,
+    123,
+    456
+  ],
+  "d_hidden": 128,
+  "num_classes": 10,
+  "n_train": 10000,
+  "n_test": 2000,
+  "batch_size": 256,
+  "epochs": 80,
+  "lr": 0.001,
+  "lr_fb": 0.001,
+  "wd": 0.01,
+  "lam": 0.1,
+  "K": 4,
+  "sigma_bridge": 0.05,
+  "ema_momentum": 0.995,
+  "term_grad_weight": 1.0,
+  "gpu": 0,
+  "output_dir": "results/synth_ladder_v2_lo"
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/summary.json b/results/synth_ladder_v2_lo/summary.json
new file mode 100644
index 0000000..4e13fce
--- /dev/null
+++ b/results/synth_ladder_v2_lo/summary.json
@@ -0,0 +1,3590 @@
+{
+  "a0.0_L2_s42": {
+    "bp": {
+      "test_acc": 0.9185,
+      "mean_bp_cosine": 0.8935370743274689,
+      "mean_rho": 0.9999973475933075,
+      "mean_nudge_001": -0.016880770213901997,
+      "mean_nudge_003": -0.046150531619787216,
+      "mean_nudge_01": -0.11240250617265701,
+      "bp_cosine_per_layer": [
+        0.9016435146331787,
+        0.885430634021759
+      ],
+      "rho_per_layer": [
+        0.9999990463256836,
+        0.9999956488609314
+      ],
+      "nudge_per_layer": [
+        -0.1530623733997345,
+        -0.07174263894557953
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.842,
+      "mean_bp_cosine": 0.030407493002712727,
+      "mean_rho": 0.008977552875876427,
+      "mean_nudge_001": -0.00023997636890271679,
+      "mean_nudge_003": -0.0006689573347102851,
+      "mean_nudge_01": -0.0016241300618276,
+      "bp_cosine_per_layer": [
+        -0.003507068380713463,
+        0.06432205438613892
+      ],
+      "rho_per_layer": [
+        0.009520611725747585,
+        0.008434494026005268
+      ],
+      "nudge_per_layer": [
+        -0.0012172441929578781,
+        -0.002031015930697322
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.825,
+      "mean_bp_cosine": 0.666242927312851,
+      "mean_rho": 0.5969350039958954,
+      "mean_nudge_001": -0.015545505564659834,
+      "mean_nudge_003": -0.04490915546193719,
+      "mean_nudge_01": -0.13079415168613195,
+      "bp_cosine_per_layer": [
+        0.9153801202774048,
+        0.4171057343482971
+      ],
+      "rho_per_layer": [
+        0.8286964893341064,
+        0.3651735186576843
+      ],
+      "nudge_per_layer": [
+        -0.23136131465435028,
+        -0.030226988717913628
+      ],
+      "state_pred_error_per_layer": [
+        438.86456298828125,
+        353.2518310546875
+      ],
+      "mean_state_pred_error": 396.0581970214844
+    },
+    "credit_bridge": {
+      "test_acc": 0.6675,
+      "mean_bp_cosine": 0.16703729704022408,
+      "mean_rho": 0.26396652311086655,
+      "mean_nudge_001": -0.00457099755294621,
+      "mean_nudge_003": -0.013636467512696981,
+      "mean_nudge_01": -0.04456503316760063,
+      "bp_cosine_per_layer": [
+        0.1011175885796547,
+        0.23295700550079346
+      ],
+      "rho_per_layer": [
+        0.19994769990444183,
+        0.32798534631729126
+      ],
+      "nudge_per_layer": [
+        -0.07033564895391464,
+        -0.01879441738128662
+      ],
+      "final_value_loss": 0.5091902822494507,
+      "final_term_loss": 0.2335890076160431,
+      "final_bridge_loss": 0.035112081968784334,
+      "final_tgrad_loss": 0.2404891884803772
+    }
+  },
+  "a0.0_L2_s123": {
+    "bp": {
+      "test_acc": 0.9205,
+      "mean_bp_cosine": 0.8566932380199432,
+      "mean_rho": 0.9999960958957672,
+      "mean_nudge_001": -0.015286394860595465,
+      "mean_nudge_003": -0.04188752360641956,
+      "mean_nudge_01": -0.10229892283678055,
+      "bp_cosine_per_layer": [
+        0.8634263277053833,
+        0.8499601483345032
+      ],
+      "rho_per_layer": [
+        0.9999988079071045,
+        0.9999933838844299
+      ],
+      "nudge_per_layer": [
+        -0.13922545313835144,
+        -0.06537239253520966
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.841,
+      "mean_bp_cosine": 0.08572041988372803,
+      "mean_rho": 0.10125503316521645,
+      "mean_nudge_001": -0.001035464447340928,
+      "mean_nudge_003": -0.0030792844481766224,
+      "mean_nudge_01": -0.009957430185750127,
+      "bp_cosine_per_layer": [
+        0.048809632658958435,
+        0.12263120710849762
+      ],
+      "rho_per_layer": [
+        0.09689537435770035,
+        0.10561469197273254
+      ],
+      "nudge_per_layer": [
+        -0.015226385556161404,
+        -0.00468847481533885
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.822,
+      "mean_bp_cosine": 0.7052022516727448,
+      "mean_rho": 0.608213409781456,
+      "mean_nudge_001": -0.014205678016878664,
+      "mean_nudge_003": -0.04078014753758907,
+      "mean_nudge_01": -0.11634222697466612,
+      "bp_cosine_per_layer": [
+        0.9309895038604736,
+        0.47941499948501587
+      ],
+      "rho_per_layer": [
+        0.8439192175865173,
+        0.37250760197639465
+      ],
+      "nudge_per_layer": [
+        -0.2068808674812317,
+        -0.025803586468100548
+      ],
+      "state_pred_error_per_layer": [
+        436.0709533691406,
+        352.44915771484375
+      ],
+      "mean_state_pred_error": 394.2600555419922
+    },
+    "credit_bridge": {
+      "test_acc": 0.664,
+      "mean_bp_cosine": 0.14723356813192368,
+      "mean_rho": 0.27719707787036896,
+      "mean_nudge_001": -0.0040612792945466936,
+      "mean_nudge_003": -0.012125232955440879,
+      "mean_nudge_01": -0.03972679190337658,
+      "bp_cosine_per_layer": [
+        0.08253486454486847,
+        0.21193227171897888
+      ],
+      "rho_per_layer": [
+        0.16999724507331848,
+        0.38439691066741943
+      ],
+      "nudge_per_layer": [
+        -0.06126694008708,
+        -0.018186643719673157
+      ],
+      "final_value_loss": 0.6019191103935242,
+      "final_term_loss": 0.28414561631679536,
+      "final_bridge_loss": 0.04602321577072144,
+      "final_tgrad_loss": 0.27175028200149537
+    }
+  },
+  "a0.0_L2_s456": {
+    "bp": {
+      "test_acc": 0.9295,
+      "mean_bp_cosine": 0.870507538318634,
+      "mean_rho": 0.9999973773956299,
+      "mean_nudge_001": -0.014503923710435629,
+      "mean_nudge_003": -0.039223295636475086,
+      "mean_nudge_01": -0.09240655042231083,
+      "bp_cosine_per_layer": [
+        0.8826531171798706,
+        0.8583619594573975
+      ],
+      "rho_per_layer": [
+        0.9999988079071045,
+        0.9999959468841553
+      ],
+      "nudge_per_layer": [
+        -0.12340263277292252,
+        -0.06141046807169914
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8485,
+      "mean_bp_cosine": 0.051622094586491585,
+      "mean_rho": 0.014518704265356064,
+      "mean_nudge_001": -0.00044165633153170347,
+      "mean_nudge_003": -0.0013033851282671094,
+      "mean_nudge_01": -0.0040968600660562515,
+      "bp_cosine_per_layer": [
+        0.016239378601312637,
+        0.08700481057167053
+      ],
+      "rho_per_layer": [
+        -0.0633457601070404,
+        0.09238316863775253
+      ],
+      "nudge_per_layer": [
+        -0.004778302274644375,
+        -0.003415417857468128
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.8285,
+      "mean_bp_cosine": 0.7213762998580933,
+      "mean_rho": 0.644424170255661,
+      "mean_nudge_001": -0.014933469472452998,
+      "mean_nudge_003": -0.042839838191866875,
+      "mean_nudge_01": -0.12188584543764591,
+      "bp_cosine_per_layer": [
+        0.9387110471725464,
+        0.5040415525436401
+      ],
+      "rho_per_layer": [
+        0.7997298240661621,
+        0.4891185164451599
+      ],
+      "nudge_per_layer": [
+        -0.21233828365802765,
+        -0.031433407217264175
+      ],
+      "state_pred_error_per_layer": [
+        387.8657531738281,
+        319.336669921875
+      ],
+      "mean_state_pred_error": 353.60121154785156
+    },
+    "credit_bridge": {
+      "test_acc": 0.7115,
+      "mean_bp_cosine": 0.16614358872175217,
+      "mean_rho": 0.25560564547777176,
+      "mean_nudge_001": -0.0032864182721823454,
+      "mean_nudge_003": -0.009816689416766167,
+      "mean_nudge_01": -0.03221969399601221,
+      "bp_cosine_per_layer": [
+        0.08927787840366364,
+        0.2430092990398407
+      ],
+      "rho_per_layer": [
+        0.16060538589954376,
+        0.35060590505599976
+      ],
+      "nudge_per_layer": [
+        -0.047705113887786865,
+        -0.016734274104237556
+      ],
+      "final_value_loss": 0.31588549439907077,
+      "final_term_loss": 0.09000624770522117,
+      "final_bridge_loss": 0.023082720217108728,
+      "final_tgrad_loss": 0.20279652795791625
+    }
+  },
+  "a0.0_L4_s42": {
+    "bp": {
+      "test_acc": 0.925,
+      "mean_bp_cosine": 0.8320528566837311,
+      "mean_rho": 0.9999772906303406,
+      "mean_nudge_001": -0.009003315295558423,
+      "mean_nudge_003": -0.024674441665410995,
+      "mean_nudge_01": -0.06179796298965812,
+      "bp_cosine_per_layer": [
+        0.8599773645401001,
+        0.8422204256057739,
+        0.8250665664672852,
+        0.8009470701217651
+      ],
+      "rho_per_layer": [
+        0.9999991655349731,
+        0.9999953508377075,
+        0.9999807476997375,
+        0.9999338984489441
+      ],
+      "nudge_per_layer": [
+        -0.12188813835382462,
+        -0.07056954503059387,
+        -0.034971628338098526,
+        -0.019762540236115456
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.856,
+      "mean_bp_cosine": 0.10417622653767467,
+      "mean_rho": 0.09206205606460571,
+      "mean_nudge_001": -0.00045079714618623257,
+      "mean_nudge_003": -0.0013433840940706432,
+      "mean_nudge_01": -0.004383910913020372,
+      "bp_cosine_per_layer": [
+        0.004014266654849052,
+        0.16519895195960999,
+        0.13244280219078064,
+        0.11504888534545898
+      ],
+      "rho_per_layer": [
+        0.042726192623376846,
+        0.18379396200180054,
+        0.108277827501297,
+        0.03345024213194847
+      ],
+      "nudge_per_layer": [
+        -0.005573366768658161,
+        -0.005793239921331406,
+        -0.003338021691888571,
+        -0.002831015270203352
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.7615,
+      "mean_bp_cosine": 0.38204737193882465,
+      "mean_rho": 0.3213508538901806,
+      "mean_nudge_001": -0.006838726330897771,
+      "mean_nudge_003": -0.01991741475649178,
+      "mean_nudge_01": -0.059746103768702596,
+      "bp_cosine_per_layer": [
+        0.8646283149719238,
+        0.4090673327445984,
+        0.1404263973236084,
+        0.114067442715168
+      ],
+      "rho_per_layer": [
+        0.7375176548957825,
+        0.33617356419563293,
+        0.14259827136993408,
+        0.06911392509937286
+      ],
+      "nudge_per_layer": [
+        -0.218303382396698,
+        -0.013712376356124878,
+        -0.003879058640450239,
+        -0.0030895976815372705
+      ],
+      "state_pred_error_per_layer": [
+        6951.521484375,
+        6099.5322265625,
+        5877.8310546875,
+        3832.076416015625
+      ],
+      "mean_state_pred_error": 5690.240295410156
+    },
+    "credit_bridge": {
+      "test_acc": 0.6585,
+      "mean_bp_cosine": 0.10922159999608994,
+      "mean_rho": 0.21513587795197964,
+      "mean_nudge_001": -0.00137018840177916,
+      "mean_nudge_003": -0.004100472666323185,
+      "mean_nudge_01": -0.013550454750657082,
+      "bp_cosine_per_layer": [
+        0.049023956060409546,
+        0.11911389231681824,
+        0.12341275811195374,
+        0.14533579349517822
+      ],
+      "rho_per_layer": [
+        0.09633419662714005,
+        0.23598268628120422,
+        0.24357257783412933,
+        0.28465405106544495
+      ],
+      "nudge_per_layer": [
+        -0.026128236204385757,
+        -0.008897590450942516,
+        -0.009167088195681572,
+        -0.01000890415161848
+      ],
+      "final_value_loss": 0.5270826056480408,
+      "final_term_loss": 0.22659661755561827,
+      "final_bridge_loss": 0.04233165686130524,
+      "final_tgrad_loss": 0.25815433073043825
+    }
+  },
+  "a0.0_L4_s123": {
+    "bp": {
+      "test_acc": 0.926,
+      "mean_bp_cosine": 0.7713210135698318,
+      "mean_rho": 0.9999768882989883,
+      "mean_nudge_001": -0.010334675083868206,
+      "mean_nudge_003": -0.028318932512775064,
+      "mean_nudge_01": -0.06953301187604666,
+      "bp_cosine_per_layer": [
+        0.808335542678833,
+        0.780368447303772,
+        0.7579712271690369,
+        0.7386088371276855
+      ],
+      "rho_per_layer": [
+        0.9999986886978149,
+        0.999996542930603,
+        0.9999827146530151,
+        0.9999296069145203
+      ],
+      "nudge_per_layer": [
+        -0.13544964790344238,
+        -0.08136264234781265,
+        -0.039826083928346634,
+        -0.02149367332458496
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8375,
+      "mean_bp_cosine": 0.1401939271017909,
+      "mean_rho": 0.11219900287687778,
+      "mean_nudge_001": -0.000286264817987103,
+      "mean_nudge_003": -0.0008422381652053446,
+      "mean_nudge_01": -0.0026496590580791235,
+      "bp_cosine_per_layer": [
+        -0.028116505593061447,
+        0.29581546783447266,
+        0.170908123254776,
+        0.12216862291097641
+      ],
+      "rho_per_layer": [
+        -0.07312458753585815,
+        0.3015226125717163,
+        0.09657395631074905,
+        0.12382403016090393
+      ],
+      "nudge_per_layer": [
+        0.0038727924693375826,
+        -0.007415304891765118,
+        -0.0039948043413460255,
+        -0.0030613194685429335
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.788,
+      "mean_bp_cosine": 0.3973395489156246,
+      "mean_rho": 0.36834993585944176,
+      "mean_nudge_001": -0.006569715158548206,
+      "mean_nudge_003": -0.019017601298401132,
+      "mean_nudge_01": -0.055994155758526176,
+      "bp_cosine_per_layer": [
+        0.8812471032142639,
+        0.4430118799209595,
+        0.14485391974449158,
+        0.12024529278278351
+      ],
+      "rho_per_layer": [
+        0.803270697593689,
+        0.4108988642692566,
+        0.12428833544254303,
+        0.13494184613227844
+      ],
+      "nudge_per_layer": [
+        -0.20551547408103943,
+        -0.01310029998421669,
+        -0.0029572518542408943,
+        -0.0024035971146076918
+      ],
+      "state_pred_error_per_layer": [
+        6307.859375,
+        4221.2177734375,
+        3825.8369140625,
+        3284.16064453125
+      ],
+      "mean_state_pred_error": 4409.7686767578125
+    },
+    "credit_bridge": {
+      "test_acc": 0.7305,
+      "mean_bp_cosine": 0.10989296156913042,
+      "mean_rho": 0.18325010500848293,
+      "mean_nudge_001": -0.0012505464837886393,
+      "mean_nudge_003": -0.00373545300681144,
+      "mean_nudge_01": -0.012258320581167936,
+      "bp_cosine_per_layer": [
+        0.03434538468718529,
+        0.12379913777112961,
+        0.1433446854352951,
+        0.13808263838291168
+      ],
+      "rho_per_layer": [
+        0.03924814611673355,
+        0.21971622109413147,
+        0.26409071683883667,
+        0.20994533598423004
+      ],
+      "nudge_per_layer": [
+        -0.020018436014652252,
+        -0.00925234891474247,
+        -0.010285570286214352,
+        -0.009476927109062672
+      ],
+      "final_value_loss": 0.454630423784256,
+      "final_term_loss": 0.185297670173645,
+      "final_bridge_loss": 0.03432008520960808,
+      "final_tgrad_loss": 0.2350126650452614
+    }
+  },
+  "a0.0_L4_s456": {
+    "bp": {
+      "test_acc": 0.9285,
+      "mean_bp_cosine": 0.7884698659181595,
+      "mean_rho": 0.999981090426445,
+      "mean_nudge_001": -0.01117145799798891,
+      "mean_nudge_003": -0.030768739874474704,
+      "mean_nudge_01": -0.07730476558208466,
+      "bp_cosine_per_layer": [
+        0.8268355131149292,
+        0.7960893511772156,
+        0.7726784944534302,
+        0.758276104927063
+      ],
+      "rho_per_layer": [
+        0.9999993443489075,
+        0.999996542930603,
+        0.999983549118042,
+        0.9999449253082275
+      ],
+      "nudge_per_layer": [
+        -0.15056422352790833,
+        -0.08916378021240234,
+        -0.04451071470975876,
+        -0.024980343878269196
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8655,
+      "mean_bp_cosine": 0.06126724602654576,
+      "mean_rho": 0.09146236767992377,
+      "mean_nudge_001": -0.00023738171148579568,
+      "mean_nudge_003": -0.0006991284317336977,
+      "mean_nudge_01": -0.0021681145881302655,
+      "bp_cosine_per_layer": [
+        -0.012256121262907982,
+        0.07949584722518921,
+        0.0787847638130188,
+        0.09904449433088303
+      ],
+      "rho_per_layer": [
+        -0.003950485959649086,
+        0.06165219843387604,
+        0.14469987154006958,
+        0.16344788670539856
+      ],
+      "nudge_per_layer": [
+        0.002696676878258586,
+        -0.005506287328898907,
+        -0.0027312645688652992,
+        -0.003131583333015442
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.7455,
+      "mean_bp_cosine": 0.4014641270041466,
+      "mean_rho": 0.3732803575694561,
+      "mean_nudge_001": -0.007542004925198853,
+      "mean_nudge_003": -0.022030926978914067,
+      "mean_nudge_01": -0.06684440147364512,
+      "bp_cosine_per_layer": [
+        0.8436356782913208,
+        0.46039146184921265,
+        0.16277557611465454,
+        0.13905379176139832
+      ],
+      "rho_per_layer": [
+        0.7277628183364868,
+        0.48849108815193176,
+        0.1771586537361145,
+        0.09970887005329132
+      ],
+      "nudge_per_layer": [
+        -0.2401106357574463,
+        -0.018598388880491257,
+        -0.004775169305503368,
+        -0.0038934119511395693
+      ],
+      "state_pred_error_per_layer": [
+        3442.556884765625,
+        2195.27490234375,
+        2035.546875,
+        2293.3291015625
+      ],
+      "mean_state_pred_error": 2491.6769409179688
+    },
+    "credit_bridge": {
+      "test_acc": 0.644,
+      "mean_bp_cosine": 0.1536249229684472,
+      "mean_rho": 0.26861424930393696,
+      "mean_nudge_001": -0.0018619927868712693,
+      "mean_nudge_003": -0.005573431379161775,
+      "mean_nudge_01": -0.018431853968650103,
+      "bp_cosine_per_layer": [
+        0.053475264459848404,
+        0.17959368228912354,
+        0.19590041041374207,
+        0.18553033471107483
+      ],
+      "rho_per_layer": [
+        0.04320300370454788,
+        0.30398592352867126,
+        0.35316282510757446,
+        0.3741052448749542
+      ],
+      "nudge_per_layer": [
+        -0.027841825038194656,
+        -0.015361151657998562,
+        -0.015351004898548126,
+        -0.015173434279859066
+      ],
+      "final_value_loss": 0.7469501955509186,
+      "final_term_loss": 0.4142983556270599,
+      "final_bridge_loss": 0.05541581681370735,
+      "final_tgrad_loss": 0.2772360302686691
+    }
+  },
+  "a0.0_L8_s42": {
+    "bp": {
+      "test_acc": 0.906,
+      "mean_bp_cosine": 0.8584278598427773,
+      "mean_rho": 0.9999460652470589,
+      "mean_nudge_001": -0.008581212867284194,
+      "mean_nudge_003": -0.02450006199069321,
+      "mean_nudge_01": -0.06902276305481791,
+      "bp_cosine_per_layer": [
+        0.8854324817657471,
+        0.8737501502037048,
+        0.8630377054214478,
+        0.8562113046646118,
+        0.8509326577186584,
+        0.8481521606445312,
+        0.84560626745224,
+        0.8443001508712769
+      ],
+      "rho_per_layer": [
+        0.9999991655349731,
+        0.9999963045120239,
+        0.9999881386756897,
+        0.9999630451202393,
+        0.9999364614486694,
+        0.9999151825904846,
+        0.9998926520347595,
+        0.9998775720596313
+      ],
+      "nudge_per_layer": [
+        -0.21767401695251465,
+        -0.12408202886581421,
+        -0.06762672960758209,
+        -0.04208396375179291,
+        -0.031123068183660507,
+        -0.025745777413249016,
+        -0.022784877568483353,
+        -0.021061642095446587
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8325,
+      "mean_bp_cosine": 0.0621855678036809,
+      "mean_rho": 0.08102096850052476,
+      "mean_nudge_001": 7.459322478098329e-05,
+      "mean_nudge_003": 0.00026162770882365294,
+      "mean_nudge_01": 0.0013351911620702595,
+      "bp_cosine_per_layer": [
+        -0.02968163788318634,
+        0.08609121292829514,
+        0.09377065300941467,
+        0.10205866396427155,
+        0.08807726949453354,
+        0.053033627569675446,
+        0.056919872760772705,
+        0.04721488058567047
+      ],
+      "rho_per_layer": [
+        -0.09032663702964783,
+        0.17043988406658173,
+        0.18389353156089783,
+        0.16770029067993164,
+        0.1504741907119751,
+        0.05179755389690399,
+        0.050898581743240356,
+        -0.03670964762568474
+      ],
+      "nudge_per_layer": [
+        0.028243789449334145,
+        -0.00520662497729063,
+        -0.0028999613132327795,
+        -0.002869710559025407,
+        -0.0023996694944798946,
+        -0.0015899656573310494,
+        -0.0014181910082697868,
+        -0.0011781371431425214
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.726,
+      "mean_bp_cosine": 0.26912851445376873,
+      "mean_rho": 0.2629122715443373,
+      "mean_nudge_001": -0.0034038230442092754,
+      "mean_nudge_003": -0.010012732280301861,
+      "mean_nudge_01": -0.0311450962908566,
+      "bp_cosine_per_layer": [
+        0.8151727914810181,
+        0.4042307734489441,
+        0.16176781058311462,
+        0.1698867678642273,
+        0.14891386032104492,
+        0.1726662963628769,
+        0.1322125643491745,
+        0.14817725121974945
+      ],
+      "rho_per_layer": [
+        0.7261759042739868,
+        0.36915943026542664,
+        0.17840053141117096,
+        0.16105638444423676,
+        0.14931628108024597,
+        0.15696927905082703,
+        0.17820878326892853,
+        0.1840115785598755
+      ],
+      "nudge_per_layer": [
+        -0.21425020694732666,
+        -0.011446774937212467,
+        -0.004181142896413803,
+        -0.004114024806767702,
+        -0.0038589704781770706,
+        -0.00422251783311367,
+        -0.003358659567311406,
+        -0.003728472860530019
+      ],
+      "state_pred_error_per_layer": [
+        7398.20849609375,
+        5242.7607421875,
+        3768.9609375,
+        3258.12548828125,
+        3060.2021484375,
+        2786.609619140625,
+        3211.44921875,
+        2939.81005859375
+      ],
+      "mean_state_pred_error": 3958.265838623047
+    },
+    "credit_bridge": {
+      "test_acc": 0.64,
+      "mean_bp_cosine": 0.09559969999827445,
+      "mean_rho": 0.20091960858553648,
+      "mean_nudge_001": -0.0007423463721352164,
+      "mean_nudge_003": -0.0022244660067372024,
+      "mean_nudge_01": -0.007368246268015355,
+      "bp_cosine_per_layer": [
+        0.010387556627392769,
+        0.06787668168544769,
+        0.11108389496803284,
+        0.11367877572774887,
+        0.11491300165653229,
+        0.1093105673789978,
+        0.11488444358110428,
+        0.12266267836093903
+      ],
+      "rho_per_layer": [
+        0.0504305437207222,
+        0.11780044436454773,
+        0.23789767920970917,
+        0.24238067865371704,
+        0.22429296374320984,
+        0.25153419375419617,
+        0.25647929310798645,
+        0.22654107213020325
+      ],
+      "nudge_per_layer": [
+        -0.003928218502551317,
+        -0.0057389335706830025,
+        -0.007835019379854202,
+        -0.008116443641483784,
+        -0.0081653306260705,
+        -0.00813683308660984,
+        -0.008312376216053963,
+        -0.00871281512081623
+      ],
+      "final_value_loss": 0.6615465266227722,
+      "final_term_loss": 0.43013124598264696,
+      "final_bridge_loss": 0.0357342723429203,
+      "final_tgrad_loss": 0.19568100452423096
+    }
+  },
+  "a0.0_L8_s123": {
+    "bp": {
+      "test_acc": 0.913,
+      "mean_bp_cosine": 0.8645070418715477,
+      "mean_rho": 0.999944381415844,
+      "mean_nudge_001": -0.007505885470891371,
+      "mean_nudge_003": -0.021483065967913717,
+      "mean_nudge_01": -0.06040166970342398,
+      "bp_cosine_per_layer": [
+        0.9087610840797424,
+        0.8890509605407715,
+        0.8756387233734131,
+        0.860000729560852,
+        0.8513467311859131,
+        0.8465403914451599,
+        0.8431664705276489,
+        0.8415512442588806
+      ],
+      "rho_per_layer": [
+        0.9999994039535522,
+        0.9999971389770508,
+        0.9999857544898987,
+        0.9999687671661377,
+        0.9999316930770874,
+        0.9999115467071533,
+        0.9998936653137207,
+        0.9998670816421509
+      ],
+      "nudge_per_layer": [
+        -0.19297254085540771,
+        -0.10940254479646683,
+        -0.05867426097393036,
+        -0.03609157353639603,
+        -0.026526644825935364,
+        -0.02192458137869835,
+        -0.019491419196128845,
+        -0.01812979206442833
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.849,
+      "mean_bp_cosine": 0.07409168453887105,
+      "mean_rho": 0.0943274952005595,
+      "mean_nudge_001": -6.366873094520997e-06,
+      "mean_nudge_003": -1.1956191883655265e-05,
+      "mean_nudge_01": 5.2888659411109984e-05,
+      "bp_cosine_per_layer": [
+        -0.02848462387919426,
+        0.15189720690250397,
+        0.09141203761100769,
+        0.07272940874099731,
+        0.09136377274990082,
+        0.0857112780213356,
+        0.044680722057819366,
+        0.0834236741065979
+      ],
+      "rho_per_layer": [
+        0.03057212010025978,
+        0.16072696447372437,
+        0.13512857258319855,
+        0.0885201245546341,
+        0.1377822607755661,
+        0.04239961504936218,
+        0.0035119224339723587,
+        0.15597838163375854
+      ],
+      "nudge_per_layer": [
+        0.015482441522181034,
+        -0.004561400040984154,
+        -0.0020816801115870476,
+        -0.0015152986161410809,
+        -0.0019329312490299344,
+        -0.002064004773274064,
+        -0.001068722689524293,
+        -0.0018352947663515806
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.7725,
+      "mean_bp_cosine": 0.2933046016842127,
+      "mean_rho": 0.25743963569402695,
+      "mean_nudge_001": -0.0033750918046280276,
+      "mean_nudge_003": -0.009846233486314304,
+      "mean_nudge_01": -0.02971906404127367,
+      "bp_cosine_per_layer": [
+        0.8679102659225464,
+        0.46438825130462646,
+        0.22033852338790894,
+        0.1893446445465088,
+        0.16738475859165192,
+        0.14945879578590393,
+        0.1267041563987732,
+        0.16090741753578186
+      ],
+      "rho_per_layer": [
+        0.6897462606430054,
+        0.42848390340805054,
+        0.19369670748710632,
+        0.19582855701446533,
+        0.14048044383525848,
+        0.12853404879570007,
+        0.09809397161006927,
+        0.18465319275856018
+      ],
+      "nudge_per_layer": [
+        -0.2050759196281433,
+        -0.01248687319457531,
+        -0.004478689283132553,
+        -0.003817938268184662,
+        -0.00330835347995162,
+        -0.002980519086122513,
+        -0.002494834130629897,
+        -0.003109385259449482
+      ],
+      "state_pred_error_per_layer": [
+        7121.279296875,
+        6133.4482421875,
+        3940.991943359375,
+        2496.587646484375,
+        2560.85595703125,
+        2498.587890625,
+        3539.93115234375,
+        2449.22607421875
+      ],
+      "mean_state_pred_error": 3842.613525390625
+    },
+    "credit_bridge": {
+      "test_acc": 0.656,
+      "mean_bp_cosine": 0.092392878344981,
+      "mean_rho": 0.17488694936037064,
+      "mean_nudge_001": -0.0007325447659241036,
+      "mean_nudge_003": -0.002192195039242506,
+      "mean_nudge_01": -0.0072501768881920725,
+      "bp_cosine_per_layer": [
+        0.001700198045000434,
+        0.04125010222196579,
+        0.1112770289182663,
+        0.11907510459423065,
+        0.11768756806850433,
+        0.11733907461166382,
+        0.11329221725463867,
+        0.117521733045578
+      ],
+      "rho_per_layer": [
+        0.043069981038570404,
+        0.1044735386967659,
+        0.23828034102916718,
+        0.18111932277679443,
+        0.19782572984695435,
+        0.1971191018819809,
+        0.20729684829711914,
+        0.2299107313156128
+      ],
+      "nudge_per_layer": [
+        -0.006082434207201004,
+        -0.003400696674361825,
+        -0.007903593592345715,
+        -0.008138573728501797,
+        -0.008289994671940804,
+        -0.007994470186531544,
+        -0.00807441771030426,
+        -0.008117234334349632
+      ],
+      "final_value_loss": 0.5009399848937989,
+      "final_term_loss": 0.26505257573127744,
+      "final_bridge_loss": 0.027039055764675142,
+      "final_tgrad_loss": 0.20884835484027864
+    }
+  },
+  "a0.0_L8_s456": {
+    "bp": {
+      "test_acc": 0.8965,
+      "mean_bp_cosine": 0.8864798843860626,
+      "mean_rho": 0.9999493733048439,
+      "mean_nudge_001": -0.007212058277218603,
+      "mean_nudge_003": -0.02048966591246426,
+      "mean_nudge_01": -0.05707334354519844,
+      "bp_cosine_per_layer": [
+        0.9283311367034912,
+        0.9162832498550415,
+        0.8925424814224243,
+        0.8799441456794739,
+        0.8746041655540466,
+        0.8698863983154297,
+        0.8666130304336548,
+        0.863634467124939
+      ],
+      "rho_per_layer": [
+        0.9999991059303284,
+        0.9999967217445374,
+        0.9999891519546509,
+        0.9999651908874512,
+        0.9999410510063171,
+        0.9999043941497803,
+        0.9998966455459595,
+        0.9999027252197266
+      ],
+      "nudge_per_layer": [
+        -0.17811693251132965,
+        -0.10346511751413345,
+        -0.05678309500217438,
+        -0.035222865641117096,
+        -0.025761041790246964,
+        -0.021198198199272156,
+        -0.01872769370675087,
+        -0.017311803996562958
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.833,
+      "mean_bp_cosine": 0.10069436486810446,
+      "mean_rho": 0.11729028820991516,
+      "mean_nudge_001": -0.00045204991511127446,
+      "mean_nudge_003": -0.0013379494193941355,
+      "mean_nudge_01": -0.004276915889931843,
+      "bp_cosine_per_layer": [
+        0.020978286862373352,
+        0.16464680433273315,
+        0.15073026716709137,
+        0.08116275072097778,
+        0.08070477098226547,
+        0.0867747962474823,
+        0.10854049026966095,
+        0.11201675236225128
+      ],
+      "rho_per_layer": [
+        0.032643549144268036,
+        0.2071959227323532,
+        0.2057623416185379,
+        0.09326457977294922,
+        0.06205561012029648,
+        0.1389445811510086,
+        0.11340519785881042,
+        0.08505052328109741
+      ],
+      "nudge_per_layer": [
+        -0.012655803002417088,
+        -0.005697320215404034,
+        -0.004094945732504129,
+        -0.0018561023753136396,
+        -0.0020380420610308647,
+        -0.0022426587529480457,
+        -0.002856952603906393,
+        -0.0027735023759305477
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.7495,
+      "mean_bp_cosine": 0.246165806427598,
+      "mean_rho": 0.20948901865631342,
+      "mean_nudge_001": -0.0035059251604252495,
+      "mean_nudge_003": -0.010245608449622523,
+      "mean_nudge_01": -0.03114599542459473,
+      "bp_cosine_per_layer": [
+        0.8467778563499451,
+        0.3549606502056122,
+        0.1711018681526184,
+        0.12375819683074951,
+        0.1153455525636673,
+        0.12219913303852081,
+        0.12895643711090088,
+        0.10622675716876984
+      ],
+      "rho_per_layer": [
+        0.7416437268257141,
+        0.2796669900417328,
+        0.14060860872268677,
+        0.09820520132780075,
+        0.10454020649194717,
+        0.08740514516830444,
+        0.10375625640153885,
+        0.12008601427078247
+      ],
+      "nudge_per_layer": [
+        -0.2212277054786682,
+        -0.010068328119814396,
+        -0.00393392750993371,
+        -0.002955838106572628,
+        -0.0027290289290249348,
+        -0.0028208147268742323,
+        -0.002979037119075656,
+        -0.002453283406794071
+      ],
+      "state_pred_error_per_layer": [
+        10942.7939453125,
+        10293.740234375,
+        7482.4482421875,
+        5008.9619140625,
+        4863.818359375,
+        4492.451171875,
+        3565.2744140625,
+        3837.47998046875
+      ],
+      "mean_state_pred_error": 6310.871032714844
+    },
+    "credit_bridge": {
+      "test_acc": 0.617,
+      "mean_bp_cosine": 0.09351247036829591,
+      "mean_rho": 0.15350601403042674,
+      "mean_nudge_001": -0.0010894104561884888,
+      "mean_nudge_003": -0.0032592675706837326,
+      "mean_nudge_01": -0.010775732051115483,
+      "bp_cosine_per_layer": [
+        0.03283574804663658,
+        0.05836774408817291,
+        0.11590129137039185,
+        0.10100162029266357,
+        0.1079024076461792,
+        0.10276803374290466,
+        0.11581481993198395,
+        0.11350809782743454
+      ],
+      "rho_per_layer": [
+        0.06095704063773155,
+        0.13836193084716797,
+        0.1803440898656845,
+        0.1439131498336792,
+        0.14064353704452515,
+        0.15858328342437744,
+        0.22606094181537628,
+        0.17918413877487183
+      ],
+      "nudge_per_layer": [
+        -0.023668643087148666,
+        -0.006166210863739252,
+        -0.009575091302394867,
+        -0.00891521479934454,
+        -0.00932026281952858,
+        -0.008899858221411705,
+        -0.009868312627077103,
+        -0.009792262688279152
+      ],
+      "final_value_loss": 1.2871107803344726,
+      "final_term_loss": 0.9274139808654785,
+      "final_bridge_loss": 0.0815536917924881,
+      "final_tgrad_loss": 0.2781431001186371
+    }
+  },
+  "a0.0_L12_s42": {
+    "bp": {
+      "test_acc": 0.9135,
+      "mean_bp_cosine": 0.8262566576401392,
+      "mean_rho": 0.9998530795176824,
+      "mean_nudge_001": -0.005460524485291292,
+      "mean_nudge_003": -0.015294013021048158,
+      "mean_nudge_01": -0.04075813665986061,
+      "bp_cosine_per_layer": [
+        0.8936765193939209,
+        0.875713586807251,
+        0.8523612022399902,
+        0.835299551486969,
+        0.8243429064750671,
+        0.8148068189620972,
+        0.809612512588501,
+        0.8055970668792725,
+        0.8028815984725952,
+        0.8011909127235413,
+        0.8001247644424438,
+        0.799472451210022
+      ],
+      "rho_per_layer": [
+        0.9999988079071045,
+        0.999997615814209,
+        0.9999872446060181,
+        0.9999661445617676,
+        0.9999244213104248,
+        0.9998762011528015,
+        0.9998204708099365,
+        0.9997811317443848,
+        0.9997683167457581,
+        0.9997478723526001,
+        0.9997052550315857,
+        0.9996634721755981
+      ],
+      "nudge_per_layer": [
+        -0.15880361199378967,
+        -0.10216463357210159,
+        -0.058997806161642075,
+        -0.0368044376373291,
+        -0.02622675709426403,
+        -0.02074911817908287,
+        -0.017529264092445374,
+        -0.015481802634894848,
+        -0.014148212037980556,
+        -0.013247357681393623,
+        -0.012655021622776985,
+        -0.012289617210626602
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8405,
+      "mean_bp_cosine": 0.06366231696059306,
+      "mean_rho": 0.0974447913467884,
+      "mean_nudge_001": -0.00019441865091115082,
+      "mean_nudge_003": -0.0005761026429051223,
+      "mean_nudge_01": -0.001826463839582478,
+      "bp_cosine_per_layer": [
+        0.022819485515356064,
+        0.10611869394779205,
+        0.08763782680034637,
+        0.06361521780490875,
+        0.08818645775318146,
+        0.07573625445365906,
+        0.07574683427810669,
+        0.025106821209192276,
+        0.029594242572784424,
+        0.09018446505069733,
+        0.04191981628537178,
+        0.05728168785572052
+      ],
+      "rho_per_layer": [
+        -0.0498071163892746,
+        0.18554872274398804,
+        0.19663047790527344,
+        0.14150168001651764,
+        0.06663499772548676,
+        0.12039551883935928,
+        0.12434913218021393,
+        0.05157296732068062,
+        0.09405694901943207,
+        0.07376686483621597,
+        0.061272408813238144,
+        0.10341489315032959
+      ],
+      "nudge_per_layer": [
+        0.000284646637737751,
+        -0.005279931705445051,
+        -0.002400151453912258,
+        -0.0017087131273001432,
+        -0.0019207102013751864,
+        -0.0020927595905959606,
+        -0.0017691099783405662,
+        -0.0008208724320866168,
+        -0.0012333606136962771,
+        -0.0026537002995610237,
+        -0.0007275568204931915,
+        -0.0015953464899212122
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.675,
+      "mean_bp_cosine": 0.16806975565850735,
+      "mean_rho": 0.14302178906897703,
+      "mean_nudge_001": -0.0021900876042006225,
+      "mean_nudge_003": -0.006470390944741666,
+      "mean_nudge_01": -0.020386384644856054,
+      "bp_cosine_per_layer": [
+        0.7431880235671997,
+        0.2796655595302582,
+        0.13151727616786957,
+        0.09881292283535004,
+        0.0924338698387146,
+        0.10159576684236526,
+        0.09764175117015839,
+        0.09642879664897919,
+        0.09804226458072662,
+        0.09603762626647949,
+        0.09261822700500488,
+        0.08885498344898224
+      ],
+      "rho_per_layer": [
+        0.611870527267456,
+        0.24307268857955933,
+        0.10120554268360138,
+        0.09459854662418365,
+        0.09521515667438507,
+        0.07265714555978775,
+        0.07570740580558777,
+        0.0650622695684433,
+        0.07738275825977325,
+        0.11346932500600815,
+        0.08958262950181961,
+        0.07643747329711914
+      ],
+      "nudge_per_layer": [
+        -0.20912763476371765,
+        -0.00893338117748499,
+        -0.0035844063386321068,
+        -0.0027289288118481636,
+        -0.0024399380199611187,
+        -0.0026743747293949127,
+        -0.0025294050574302673,
+        -0.002557961270213127,
+        -0.0026802942156791687,
+        -0.002547960262745619,
+        -0.002460954710841179,
+        -0.0023713763803243637
+      ],
+      "state_pred_error_per_layer": [
+        20223.798828125,
+        14219.4013671875,
+        11048.2333984375,
+        10263.419921875,
+        8570.201171875,
+        7224.33740234375,
+        7281.2197265625,
+        8034.87548828125,
+        6686.9033203125,
+        6885.98291015625,
+        6667.048828125,
+        6627.78125
+      ],
+      "mean_state_pred_error": 9477.766967773438
+    },
+    "credit_bridge": {
+      "test_acc": 0.6635,
+      "mean_bp_cosine": 0.07870348079207663,
+      "mean_rho": 0.1263093726399044,
+      "mean_nudge_001": -0.000519128576949394,
+      "mean_nudge_003": -0.0015524110640399158,
+      "mean_nudge_01": -0.005132454059397181,
+      "bp_cosine_per_layer": [
+        9.498395957052708e-05,
+        0.029415149241685867,
+        0.062070880085229874,
+        0.07393385469913483,
+        0.07970248907804489,
+        0.08624569326639175,
+        0.10002343356609344,
+        0.10488344728946686,
+        0.10920242965221405,
+        0.10451158881187439,
+        0.09929930418729782,
+        0.09505851566791534
+      ],
+      "rho_per_layer": [
+        0.025425152853131294,
+        0.0574759915471077,
+        0.13417154550552368,
+        0.10034967213869095,
+        0.17468321323394775,
+        0.17164339125156403,
+        0.15925100445747375,
+        0.08668951690196991,
+        0.1521437168121338,
+        0.14672580361366272,
+        0.1825145184993744,
+        0.12463894486427307
+      ],
+      "nudge_per_layer": [
+        0.001420565415173769,
+        -0.0026360084302723408,
+        -0.00476992130279541,
+        -0.005131378769874573,
+        -0.005615689791738987,
+        -0.006001932080835104,
+        -0.006417973432689905,
+        -0.006630052346736193,
+        -0.006984136067330837,
+        -0.0066003259271383286,
+        -0.00623705331236124,
+        -0.005985542666167021
+      ],
+      "final_value_loss": 0.9863593735218048,
+      "final_term_loss": 0.7168336891174316,
+      "final_bridge_loss": 0.05245816183909774,
+      "final_tgrad_loss": 0.21706753172874452
+    }
+  },
+  "a0.0_L12_s123": {
+    "bp": {
+      "test_acc": 0.9145,
+      "mean_bp_cosine": 0.7868696798880895,
+      "mean_rho": 0.9998756001393,
+      "mean_nudge_001": -0.005259950548255195,
+      "mean_nudge_003": -0.014897353908357521,
+      "mean_nudge_01": -0.04119087569415569,
+      "bp_cosine_per_layer": [
+        0.832116425037384,
+        0.8141677379608154,
+        0.8023761510848999,
+        0.7934653759002686,
+        0.7857377529144287,
+        0.7797414064407349,
+        0.7767306566238403,
+        0.7744640111923218,
+        0.7725205421447754,
+        0.7711977958679199,
+        0.7703278064727783,
+        0.7695904970169067
+      ],
+      "rho_per_layer": [
+        0.9999991655349731,
+        0.9999972581863403,
+        0.9999898672103882,
+        0.999970555305481,
+        0.9999305009841919,
+        0.9999109506607056,
+        0.9998676180839539,
+        0.999832808971405,
+        0.9997924566268921,
+        0.9997202754020691,
+        0.9997268319129944,
+        0.9997689127922058
+      ],
+      "nudge_per_layer": [
+        -0.17892791330814362,
+        -0.10439710319042206,
+        -0.05659153312444687,
+        -0.034265220165252686,
+        -0.02416030317544937,
+        -0.01895919442176819,
+        -0.015955276787281036,
+        -0.01404004916548729,
+        -0.01277724839746952,
+        -0.011922692880034447,
+        -0.011335920542478561,
+        -0.010958053171634674
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.841,
+      "mean_bp_cosine": 0.10045036673545837,
+      "mean_rho": 0.06510928040370345,
+      "mean_nudge_001": -0.000200933368432743,
+      "mean_nudge_003": -0.000600688594810587,
+      "mean_nudge_01": -0.001976225830730982,
+      "bp_cosine_per_layer": [
+        0.009534038603305817,
+        0.2771005630493164,
+        0.12846891582012177,
+        0.12727834284305573,
+        0.09264838695526123,
+        0.08494879305362701,
+        0.1454543173313141,
+        0.07647830247879028,
+        0.055110231041908264,
+        0.08491981029510498,
+        0.054209403693675995,
+        0.06925329566001892
+      ],
+      "rho_per_layer": [
+        -0.030354971066117287,
+        0.19958093762397766,
+        0.10430362075567245,
+        0.06749340891838074,
+        0.08917459845542908,
+        0.06985980272293091,
+        0.08990536630153656,
+        -0.0003178045153617859,
+        -0.05352415516972542,
+        0.12398940324783325,
+        0.05844062566757202,
+        0.06276053190231323
+      ],
+      "nudge_per_layer": [
+        0.0008368014823645353,
+        -0.00641840323805809,
+        -0.0027151124086230993,
+        -0.002792379120364785,
+        -0.0018645611125975847,
+        -0.0017843465320765972,
+        -0.002957880962640047,
+        -0.0012784524587914348,
+        -0.0007560949889011681,
+        -0.0015581869520246983,
+        -0.0010259757982566953,
+        -0.0014001178788021207
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.675,
+      "mean_bp_cosine": 0.21027903320888677,
+      "mean_rho": 0.16716737858951092,
+      "mean_nudge_001": -0.002424063318661259,
+      "mean_nudge_003": -0.007164865601225756,
+      "mean_nudge_01": -0.02264038595603779,
+      "bp_cosine_per_layer": [
+        0.7589784860610962,
+        0.34465640783309937,
+        0.20695620775222778,
+        0.15412747859954834,
+        0.14041899144649506,
+        0.152847021818161,
+        0.1464981734752655,
+        0.13855373859405518,
+        0.13026131689548492,
+        0.11798880249261856,
+        0.11249798536300659,
+        0.11956378817558289
+      ],
+      "rho_per_layer": [
+        0.6762608289718628,
+        0.29351934790611267,
+        0.15623700618743896,
+        0.07772233337163925,
+        0.09808109700679779,
+        0.14218339323997498,
+        0.09985582530498505,
+        0.07779418677091599,
+        0.10923020541667938,
+        0.10118008404970169,
+        0.08211226016283035,
+        0.09183197468519211
+      ],
+      "nudge_per_layer": [
+        -0.22324970364570618,
+        -0.01123635284602642,
+        -0.0056420015171170235,
+        -0.0040974924340844154,
+        -0.0037027131766080856,
+        -0.003983458504080772,
+        -0.0038626876194030046,
+        -0.0036268262192606926,
+        -0.003363188588991761,
+        -0.0030670221894979477,
+        -0.0028224957641214132,
+        -0.0030306889675557613
+      ],
+      "state_pred_error_per_layer": [
+        10215.58203125,
+        8926.0654296875,
+        5285.6044921875,
+        5192.0830078125,
+        4575.35791015625,
+        4063.82666015625,
+        4966.6884765625,
+        5378.6435546875,
+        4702.37890625,
+        4026.143310546875,
+        3985.35595703125,
+        3780.156494140625
+      ],
+      "mean_state_pred_error": 5424.8238525390625
+    },
+    "credit_bridge": {
+      "test_acc": 0.721,
+      "mean_bp_cosine": 0.020079606105961528,
+      "mean_rho": 0.0501531979146724,
+      "mean_nudge_001": -0.00015450727914867457,
+      "mean_nudge_003": -0.0004599024711448389,
+      "mean_nudge_01": -0.001498352525231894,
+      "bp_cosine_per_layer": [
+        -0.0035465662367641926,
+        -0.001160490675829351,
+        0.00486466521397233,
+        0.012821277603507042,
+        0.012568866834044456,
+        0.019143100827932358,
+        0.022381767630577087,
+        0.024246837943792343,
+        0.027966029942035675,
+        0.03333558514714241,
+        0.04247187077999115,
+        0.04586232826113701
+      ],
+      "rho_per_layer": [
+        0.01447216235101223,
+        -0.01648387312889099,
+        0.027175014838576317,
+        0.03045208379626274,
+        0.05211577191948891,
+        -0.0074118818156421185,
+        0.0508866012096405,
+        0.01983593963086605,
+        0.03707783669233322,
+        0.12354743480682373,
+        0.16596439480781555,
+        0.10420688986778259
+      ],
+      "nudge_per_layer": [
+        0.002342540305107832,
+        -0.0004765552293974906,
+        -0.0007624666905030608,
+        -0.0012423819862306118,
+        -0.0012568822130560875,
+        -0.0016762344166636467,
+        -0.0018269497668370605,
+        -0.0020500137470662594,
+        -0.0022837575525045395,
+        -0.0026187507901340723,
+        -0.0029940432868897915,
+        -0.0031347349286079407
+      ],
+      "final_value_loss": 0.37253577736616134,
+      "final_term_loss": 0.18445234730243684,
+      "final_bridge_loss": 0.0251624245762825,
+      "final_tgrad_loss": 0.16292100727558137
+    }
+  },
+  "a0.0_L12_s456": {
+    "bp": {
+      "test_acc": 0.9115,
+      "mean_bp_cosine": 0.7958964506785074,
+      "mean_rho": 0.9998697290817896,
+      "mean_nudge_001": -0.0046546936306792,
+      "mean_nudge_003": -0.013125322526320815,
+      "mean_nudge_01": -0.03561708889901638,
+      "bp_cosine_per_layer": [
+        0.841245174407959,
+        0.830803632736206,
+        0.8195754885673523,
+        0.8066799640655518,
+        0.7983194589614868,
+        0.7908304929733276,
+        0.7860588431358337,
+        0.7811387777328491,
+        0.7771316170692444,
+        0.7744728326797485,
+        0.7727954983711243,
+        0.7717056274414062
+      ],
+      "rho_per_layer": [
+        0.9999991059303284,
+        0.9999973177909851,
+        0.9999889731407166,
+        0.9999734163284302,
+        0.9999427795410156,
+        0.9998763799667358,
+        0.9998629093170166,
+        0.9998323321342468,
+        0.9997599720954895,
+        0.9997479319572449,
+        0.9997410774230957,
+        0.9997145533561707
+      ],
+      "nudge_per_layer": [
+        -0.1470111906528473,
+        -0.09042022377252579,
+        -0.050197783857584,
+        -0.030754856765270233,
+        -0.021816428750753403,
+        -0.017199307680130005,
+        -0.014493460766971111,
+        -0.012762569822371006,
+        -0.01160583458840847,
+        -0.010828070342540741,
+        -0.010316012427210808,
+        -0.00999932736158371
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8275,
+      "mean_bp_cosine": 0.109907116740942,
+      "mean_rho": 0.10316232999321073,
+      "mean_nudge_001": -0.00034242031688336283,
+      "mean_nudge_003": -0.001020948082441464,
+      "mean_nudge_01": -0.0033549320845243833,
+      "bp_cosine_per_layer": [
+        0.0384417325258255,
+        0.27492010593414307,
+        0.17608770728111267,
+        0.12729278206825256,
+        0.09575799107551575,
+        0.13158489763736725,
+        0.07343505322933197,
+        0.08012130856513977,
+        0.08938327431678772,
+        0.09414967149496078,
+        0.06517850607633591,
+        0.07253237068653107
+      ],
+      "rho_per_layer": [
+        -0.00336202559992671,
+        0.18004602193832397,
+        0.18598641455173492,
+        0.15388232469558716,
+        0.058810293674468994,
+        0.14123386144638062,
+        0.05320374667644501,
+        0.10196533054113388,
+        0.09802494943141937,
+        0.10918877273797989,
+        0.09344048798084259,
+        0.0655277818441391
+      ],
+      "nudge_per_layer": [
+        -0.010087584145367146,
+        -0.006617182400077581,
+        -0.004152917303144932,
+        -0.0031182561069726944,
+        -0.0022262579295784235,
+        -0.0028664623387157917,
+        -0.0016081882640719414,
+        -0.0017378728371113539,
+        -0.0020772137213498354,
+        -0.002457245485857129,
+        -0.0015545324422419071,
+        -0.0017554720398038626
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.684,
+      "mean_bp_cosine": 0.21628577137986818,
+      "mean_rho": 0.17074896084765592,
+      "mean_nudge_001": -0.0019644595328524397,
+      "mean_nudge_003": -0.0058011185271122185,
+      "mean_nudge_01": -0.018295541075834382,
+      "bp_cosine_per_layer": [
+        0.7363088726997375,
+        0.32443851232528687,
+        0.21702790260314941,
+        0.21007081866264343,
+        0.16975754499435425,
+        0.1722516119480133,
+        0.16474759578704834,
+        0.12138545513153076,
+        0.1178494393825531,
+        0.13036376237869263,
+        0.11493153870105743,
+        0.1162962019443512
+      ],
+      "rho_per_layer": [
+        0.6429969072341919,
+        0.2531689405441284,
+        0.22036504745483398,
+        0.17542049288749695,
+        0.15819020569324493,
+        0.14438438415527344,
+        0.07042165100574493,
+        0.11963094770908356,
+        0.1070300042629242,
+        0.07622774690389633,
+        0.035559043288230896,
+        0.045592159032821655
+      ],
+      "nudge_per_layer": [
+        -0.1725819855928421,
+        -0.009430286474525928,
+        -0.0054127369076013565,
+        -0.005186344031244516,
+        -0.004062540829181671,
+        -0.0039931111969053745,
+        -0.003901706077158451,
+        -0.003083862829953432,
+        -0.002966922242194414,
+        -0.0033692335709929466,
+        -0.002796228276565671,
+        -0.002761534880846739
+      ],
+      "state_pred_error_per_layer": [
+        8107.484375,
+        6015.64697265625,
+        3272.651123046875,
+        3025.219970703125,
+        3498.379150390625,
+        2962.442626953125,
+        2732.457275390625,
+        3394.069091796875,
+        3050.444091796875,
+        3397.53271484375,
+        3068.22607421875,
+        3145.807373046875
+      ],
+      "mean_state_pred_error": 3805.8634033203125
+    },
+    "credit_bridge": {
+      "test_acc": 0.669,
+      "mean_bp_cosine": 0.048155296875241525,
+      "mean_rho": 0.07334851861620943,
+      "mean_nudge_001": -0.00035685058537637815,
+      "mean_nudge_003": -0.0010696607399343823,
+      "mean_nudge_01": -0.0035326933624067656,
+      "bp_cosine_per_layer": [
+        0.0015124600613489747,
+        0.020085982978343964,
+        0.03127610310912132,
+        0.03517032414674759,
+        0.042219605296850204,
+        0.05027471110224724,
+        0.05683741718530655,
+        0.057938531041145325,
+        0.06581299006938934,
+        0.06761687994003296,
+        0.07107532024383545,
+        0.07804323732852936
+      ],
+      "rho_per_layer": [
+        0.03147998824715614,
+        -0.015333062037825584,
+        0.020876668393611908,
+        0.07304719090461731,
+        0.0599740669131279,
+        0.08874240517616272,
+        0.05341971293091774,
+        0.07721589505672455,
+        0.08801877498626709,
+        0.10527393221855164,
+        0.16833831369876862,
+        0.1291283369064331
+      ],
+      "nudge_per_layer": [
+        -0.004048495087772608,
+        -0.0012588155223056674,
+        -0.0019918864127248526,
+        -0.002725755563005805,
+        -0.0028244066052138805,
+        -0.003425109200179577,
+        -0.0036919033154845238,
+        -0.003999053034931421,
+        -0.0042928787879645824,
+        -0.004538967739790678,
+        -0.004742524586617947,
+        -0.004852524492889643
+      ],
+      "final_value_loss": 0.8257113872528076,
+      "final_term_loss": 0.5509136886596679,
+      "final_bridge_loss": 0.049323998257517813,
+      "final_tgrad_loss": 0.22547370266914368
+    }
+  },
+  "a0.25_L2_s42": {
+    "bp": {
+      "test_acc": 0.908,
+      "mean_bp_cosine": 0.8980661034584045,
+      "mean_rho": 0.9999964535236359,
+      "mean_nudge_001": -0.01618960639461875,
+      "mean_nudge_003": -0.04483883548527956,
+      "mean_nudge_01": -0.11487101018428802,
+      "bp_cosine_per_layer": [
+        0.9068200588226318,
+        0.8893121480941772
+      ],
+      "rho_per_layer": [
+        0.9999985098838806,
+        0.9999943971633911
+      ],
+      "nudge_per_layer": [
+        -0.15680165588855743,
+        -0.07294036448001862
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.847,
+      "mean_bp_cosine": 0.026606750674545765,
+      "mean_rho": -0.0022891219705343246,
+      "mean_nudge_001": -2.3714659619145095e-05,
+      "mean_nudge_003": -1.6182020772248507e-05,
+      "mean_nudge_01": 0.0005980018759146333,
+      "bp_cosine_per_layer": [
+        -0.008382977917790413,
+        0.06159647926688194
+      ],
+      "rho_per_layer": [
+        -0.022914212197065353,
+        0.018335968255996704
+      ],
+      "nudge_per_layer": [
+        0.0033093439415097237,
+        -0.002113340189680457
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.827,
+      "mean_bp_cosine": 0.6775506436824799,
+      "mean_rho": 0.6271905303001404,
+      "mean_nudge_001": -0.015066297259181738,
+      "mean_nudge_003": -0.04329914692789316,
+      "mean_nudge_01": -0.12377128005027771,
+      "bp_cosine_per_layer": [
+        0.9188902378082275,
+        0.4362110495567322
+      ],
+      "rho_per_layer": [
+        0.8401009440422058,
+        0.41428011655807495
+      ],
+      "nudge_per_layer": [
+        -0.21947401762008667,
+        -0.02806854248046875
+      ],
+      "state_pred_error_per_layer": [
+        753.1610107421875,
+        333.87890625
+      ],
+      "mean_state_pred_error": 543.5199584960938
+    },
+    "credit_bridge": {
+      "test_acc": 0.6455,
+      "mean_bp_cosine": 0.15288914740085602,
+      "mean_rho": 0.2540942281484604,
+      "mean_nudge_001": -0.003834493225440383,
+      "mean_nudge_003": -0.011456333566457033,
+      "mean_nudge_01": -0.03762407600879669,
+      "bp_cosine_per_layer": [
+        0.07500731945037842,
+        0.23077097535133362
+      ],
+      "rho_per_layer": [
+        0.12894567847251892,
+        0.37924277782440186
+      ],
+      "nudge_per_layer": [
+        -0.05425257235765457,
+        -0.020995579659938812
+      ],
+      "final_value_loss": 0.5630231554031372,
+      "final_term_loss": 0.2533654543399811,
+      "final_bridge_loss": 0.03314736911058426,
+      "final_tgrad_loss": 0.27651033034324646
+    }
+  },
+  "a0.25_L2_s123": {
+    "bp": {
+      "test_acc": 0.92,
+      "mean_bp_cosine": 0.8535160422325134,
+      "mean_rho": 0.9999972283840179,
+      "mean_nudge_001": -0.01451590727083385,
+      "mean_nudge_003": -0.03988213837146759,
+      "mean_nudge_01": -0.09831684827804565,
+      "bp_cosine_per_layer": [
+        0.8569881916046143,
+        0.8500438928604126
+      ],
+      "rho_per_layer": [
+        0.9999989867210388,
+        0.9999954700469971
+      ],
+      "nudge_per_layer": [
+        -0.13159069418907166,
+        -0.06504300236701965
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.853,
+      "mean_bp_cosine": 0.0877363346517086,
+      "mean_rho": 0.0626654140651226,
+      "mean_nudge_001": -0.0009488673531450331,
+      "mean_nudge_003": -0.0028224033303558826,
+      "mean_nudge_01": -0.009134252090007067,
+      "bp_cosine_per_layer": [
+        0.05345926433801651,
+        0.1220134049654007
+      ],
+      "rho_per_layer": [
+        0.09254007041454315,
+        0.03279075771570206
+      ],
+      "nudge_per_layer": [
+        -0.0142319705337286,
+        -0.004036533646285534
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.834,
+      "mean_bp_cosine": 0.6950189173221588,
+      "mean_rho": 0.5849489569664001,
+      "mean_nudge_001": -0.012975628254935145,
+      "mean_nudge_003": -0.03723907680250704,
+      "mean_nudge_01": -0.10619704332202673,
+      "bp_cosine_per_layer": [
+        0.9177796840667725,
+        0.47225815057754517
+      ],
+      "rho_per_layer": [
+        0.7912815809249878,
+        0.3786163330078125
+      ],
+      "nudge_per_layer": [
+        -0.187799870967865,
+        -0.02459421567618847
+      ],
+      "state_pred_error_per_layer": [
+        654.3871459960938,
+        278.6759338378906
+      ],
+      "mean_state_pred_error": 466.5315399169922
+    },
+    "credit_bridge": {
+      "test_acc": 0.638,
+      "mean_bp_cosine": 0.18947000801563263,
+      "mean_rho": 0.3388983681797981,
+      "mean_nudge_001": -0.004155236994847655,
+      "mean_nudge_003": -0.012411902891471982,
+      "mean_nudge_01": -0.04074052348732948,
+      "bp_cosine_per_layer": [
+        0.09752383828163147,
+        0.2814161777496338
+      ],
+      "rho_per_layer": [
+        0.2172888070344925,
+        0.46050792932510376
+      ],
+      "nudge_per_layer": [
+        -0.05797416716814041,
+        -0.023506879806518555
+      ],
+      "final_value_loss": 0.6248516966819763,
+      "final_term_loss": 0.2734043194293976,
+      "final_bridge_loss": 0.04374015842676163,
+      "final_tgrad_loss": 0.3077072183132172
+    }
+  },
+  "a0.25_L2_s456": {
+    "bp": {
+      "test_acc": 0.914,
+      "mean_bp_cosine": 0.8777631521224976,
+      "mean_rho": 0.9999973177909851,
+      "mean_nudge_001": -0.017619559541344643,
+      "mean_nudge_003": -0.04847448691725731,
+      "mean_nudge_01": -0.1200898252427578,
+      "bp_cosine_per_layer": [
+        0.8855119943618774,
+        0.8700143098831177
+      ],
+      "rho_per_layer": [
+        0.9999988079071045,
+        0.9999958276748657
+      ],
+      "nudge_per_layer": [
+        -0.16111940145492554,
+        -0.07906024903059006
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.842,
+      "mean_bp_cosine": 0.049672482535243034,
+      "mean_rho": 0.03196176886558533,
+      "mean_nudge_001": -0.0005511407216545194,
+      "mean_nudge_003": -0.0016261094715446234,
+      "mean_nudge_01": -0.0050985191483050585,
+      "bp_cosine_per_layer": [
+        0.015632983297109604,
+        0.08371198177337646
+      ],
+      "rho_per_layer": [
+        -0.06864285469055176,
+        0.1325663924217224
+      ],
+      "nudge_per_layer": [
+        -0.006782663054764271,
+        -0.003414375241845846
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.817,
+      "mean_bp_cosine": 0.7210330367088318,
+      "mean_rho": 0.6920621693134308,
+      "mean_nudge_001": -0.01618554489687085,
+      "mean_nudge_003": -0.04673728672787547,
+      "mean_nudge_01": -0.13591178134083748,
+      "bp_cosine_per_layer": [
+        0.9367842674255371,
+        0.5052818059921265
+      ],
+      "rho_per_layer": [
+        0.846778392791748,
+        0.5373459458351135
+      ],
+      "nudge_per_layer": [
+        -0.23458413779735565,
+        -0.037239424884319305
+      ],
+      "state_pred_error_per_layer": [
+        626.5816650390625,
+        277.74237060546875
+      ],
+      "mean_state_pred_error": 452.1620178222656
+    },
+    "credit_bridge": {
+      "test_acc": 0.6685,
+      "mean_bp_cosine": 0.21126148104667664,
+      "mean_rho": 0.3547997772693634,
+      "mean_nudge_001": -0.004930314142256975,
+      "mean_nudge_003": -0.014735064469277859,
+      "mean_nudge_01": -0.048451079055666924,
+      "bp_cosine_per_layer": [
+        0.13380715250968933,
+        0.28871580958366394
+      ],
+      "rho_per_layer": [
+        0.2647465467453003,
+        0.4448530077934265
+      ],
+      "nudge_per_layer": [
+        -0.07276535779237747,
+        -0.024136800318956375
+      ],
+      "final_value_loss": 0.4186974630832672,
+      "final_term_loss": 0.13192469900846482,
+      "final_bridge_loss": 0.02328252377510071,
+      "final_tgrad_loss": 0.2634902417182922
+    }
+  },
+  "a0.25_L4_s42": {
+    "bp": {
+      "test_acc": 0.911,
+      "mean_bp_cosine": 0.841001495718956,
+      "mean_rho": 0.9999824017286301,
+      "mean_nudge_001": -0.012893156963400543,
+      "mean_nudge_003": -0.035831862362101674,
+      "mean_nudge_01": -0.09177740290760994,
+      "bp_cosine_per_layer": [
+        0.868922770023346,
+        0.8429951667785645,
+        0.8289605379104614,
+        0.8231275081634521
+      ],
+      "rho_per_layer": [
+        0.999998927116394,
+        0.9999972581863403,
+        0.9999882578849792,
+        0.9999451637268066
+      ],
+      "nudge_per_layer": [
+        -0.17674864828586578,
+        -0.10683682560920715,
+        -0.05415143817663193,
+        -0.029372699558734894
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8515,
+      "mean_bp_cosine": 0.0922011851798743,
+      "mean_rho": 0.09930456057190895,
+      "mean_nudge_001": -0.0006074781995266676,
+      "mean_nudge_003": -0.001813438575481996,
+      "mean_nudge_01": -0.005950940365437418,
+      "bp_cosine_per_layer": [
+        0.006489354185760021,
+        0.12851163744926453,
+        0.11991241574287415,
+        0.11389133334159851
+      ],
+      "rho_per_layer": [
+        0.029786743223667145,
+        0.18639126420021057,
+        0.11502038687467575,
+        0.06601984798908234
+      ],
+      "nudge_per_layer": [
+        -0.01056693121790886,
+        -0.006519604474306107,
+        -0.003515135496854782,
+        -0.003202090272679925
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.738,
+      "mean_bp_cosine": 0.3966497778892517,
+      "mean_rho": 0.33668526262044907,
+      "mean_nudge_001": -0.006818186957389116,
+      "mean_nudge_003": -0.020020907453726977,
+      "mean_nudge_01": -0.0618970247451216,
+      "bp_cosine_per_layer": [
+        0.8448630571365356,
+        0.4407959580421448,
+        0.15707260370254517,
+        0.14386749267578125
+      ],
+      "rho_per_layer": [
+        0.7033247947692871,
+        0.34020179510116577,
+        0.13395404815673828,
+        0.1692604124546051
+      ],
+      "nudge_per_layer": [
+        -0.2203540802001953,
+        -0.01797248050570488,
+        -0.004883656278252602,
+        -0.004377881996333599
+      ],
+      "state_pred_error_per_layer": [
+        3192.55322265625,
+        2613.6337890625,
+        1881.11669921875,
+        2102.51953125
+      ],
+      "mean_state_pred_error": 2447.455810546875
+    },
+    "credit_bridge": {
+      "test_acc": 0.662,
+      "mean_bp_cosine": 0.1593644004315138,
+      "mean_rho": 0.2909943610429764,
+      "mean_nudge_001": -0.0019232924096286297,
+      "mean_nudge_003": -0.005755707039497793,
+      "mean_nudge_01": -0.019015976693481207,
+      "bp_cosine_per_layer": [
+        0.07093458622694016,
+        0.19623729586601257,
+        0.18378585577011108,
+        0.18649986386299133
+      ],
+      "rho_per_layer": [
+        0.14815130829811096,
+        0.336488276720047,
+        0.35506749153137207,
+        0.3242703676223755
+      ],
+      "nudge_per_layer": [
+        -0.033366985619068146,
+        -0.015239425003528595,
+        -0.013842864893376827,
+        -0.01361463125795126
+      ],
+      "final_value_loss": 0.5039997359514237,
+      "final_term_loss": 0.20441836426854135,
+      "final_bridge_loss": 0.03893857387006283,
+      "final_tgrad_loss": 0.26064279942512514
+    }
+  },
+  "a0.25_L4_s123": {
+    "bp": {
+      "test_acc": 0.917,
+      "mean_bp_cosine": 0.7935318648815155,
+      "mean_rho": 0.9999762326478958,
+      "mean_nudge_001": -0.01081152242841199,
+      "mean_nudge_003": -0.029669071780517697,
+      "mean_nudge_01": -0.0743116931989789,
+      "bp_cosine_per_layer": [
+        0.8279672861099243,
+        0.8114954233169556,
+        0.7863935232162476,
+        0.7482712268829346
+      ],
+      "rho_per_layer": [
+        0.9999987483024597,
+        0.9999956488609314,
+        0.999983012676239,
+        0.9999275207519531
+      ],
+      "nudge_per_layer": [
+        -0.14138484001159668,
+        -0.08725307881832123,
+        -0.04476301744580269,
+        -0.023845836520195007
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.824,
+      "mean_bp_cosine": 0.1441014357842505,
+      "mean_rho": 0.14396781660616398,
+      "mean_nudge_001": -0.0003178600236424245,
+      "mean_nudge_003": -0.0009397821850143373,
+      "mean_nudge_01": -0.0029927556752227247,
+      "bp_cosine_per_layer": [
+        -0.030194921419024467,
+        0.3003618121147156,
+        0.18209302425384521,
+        0.12414582818746567
+      ],
+      "rho_per_layer": [
+        -0.038011275231838226,
+        0.29912513494491577,
+        0.1735759675502777,
+        0.14118143916130066
+      ],
+      "nudge_per_layer": [
+        0.005076530389487743,
+        -0.00841662660241127,
+        -0.005011391825973988,
+        -0.0036195346619933844
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.733,
+      "mean_bp_cosine": 0.3913041353225708,
+      "mean_rho": 0.3523585610091686,
+      "mean_nudge_001": -0.0061569800454890355,
+      "mean_nudge_003": -0.01808436232386157,
+      "mean_nudge_01": -0.055880151805467904,
+      "bp_cosine_per_layer": [
+        0.821143627166748,
+        0.36722686886787415,
+        0.20176959037780762,
+        0.1750764548778534
+      ],
+      "rho_per_layer": [
+        0.6905952095985413,
+        0.36183467507362366,
+        0.19890159368515015,
+        0.15810276567935944
+      ],
+      "nudge_per_layer": [
+        -0.1973220407962799,
+        -0.013631552457809448,
+        -0.0068134344182908535,
+        -0.0057535795494914055
+      ],
+      "state_pred_error_per_layer": [
+        3017.568359375,
+        2069.30517578125,
+        2103.28662109375,
+        1370.3270263671875
+      ],
+      "mean_state_pred_error": 2140.121795654297
+    },
+    "credit_bridge": {
+      "test_acc": 0.7085,
+      "mean_bp_cosine": 0.11074696853756905,
+      "mean_rho": 0.20390365412458777,
+      "mean_nudge_001": -0.0010930995340459049,
+      "mean_nudge_003": -0.0032710169325582683,
+      "mean_nudge_01": -0.010791003005579114,
+      "bp_cosine_per_layer": [
+        0.021101564168930054,
+        0.1092284768819809,
+        0.14931762218475342,
+        0.16334021091461182
+      ],
+      "rho_per_layer": [
+        0.026919251307845116,
+        0.23688018321990967,
+        0.28421375155448914,
+        0.2676014304161072
+      ],
+      "nudge_per_layer": [
+        -0.008425744250416756,
+        -0.009595570154488087,
+        -0.012630455195903778,
+        -0.012512242421507835
+      ],
+      "final_value_loss": 0.44552071504592894,
+      "final_term_loss": 0.1639193995475769,
+      "final_bridge_loss": 0.022096455523371698,
+      "final_tgrad_loss": 0.2595048580646515
+    }
+  },
+  "a0.25_L4_s456": {
+    "bp": {
+      "test_acc": 0.9185,
+      "mean_bp_cosine": 0.7816510498523712,
+      "mean_rho": 0.9999814331531525,
+      "mean_nudge_001": -0.01180829742224887,
+      "mean_nudge_003": -0.032709411811083555,
+      "mean_nudge_01": -0.08326426614075899,
+      "bp_cosine_per_layer": [
+        0.8029586672782898,
+        0.7900986075401306,
+        0.7753629684448242,
+        0.7581839561462402
+      ],
+      "rho_per_layer": [
+        0.999998927116394,
+        0.9999964237213135,
+        0.999983549118042,
+        0.9999468326568604
+      ],
+      "nudge_per_layer": [
+        -0.15638579428195953,
+        -0.09745092689990997,
+        -0.05102477967739105,
+        -0.028195563703775406
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8515,
+      "mean_bp_cosine": 0.06627230579033494,
+      "mean_rho": 0.10299420775845647,
+      "mean_nudge_001": -0.000254730271990411,
+      "mean_nudge_003": -0.0007513021846534684,
+      "mean_nudge_01": -0.0023495194036513567,
+      "bp_cosine_per_layer": [
+        -0.014162426814436913,
+        0.0798005759716034,
+        0.09311279654502869,
+        0.10633827745914459
+      ],
+      "rho_per_layer": [
+        0.041398823261260986,
+        0.02247910387814045,
+        0.1714327037334442,
+        0.17666620016098022
+      ],
+      "nudge_per_layer": [
+        0.002492401283234358,
+        -0.005343085154891014,
+        -0.0033098761923611164,
+        -0.003237517550587654
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.7085,
+      "mean_bp_cosine": 0.37615348026156425,
+      "mean_rho": 0.3445914164185524,
+      "mean_nudge_001": -0.00598156735941302,
+      "mean_nudge_003": -0.017677294556051493,
+      "mean_nudge_01": -0.055878938641399145,
+      "bp_cosine_per_layer": [
+        0.8312708735466003,
+        0.37615716457366943,
+        0.14436809718608856,
+        0.15281778573989868
+      ],
+      "rho_per_layer": [
+        0.7588610649108887,
+        0.34236449003219604,
+        0.14024245738983154,
+        0.13689765334129333
+      ],
+      "nudge_per_layer": [
+        -0.19714727997779846,
+        -0.01597677543759346,
+        -0.004914070479571819,
+        -0.005477628670632839
+      ],
+      "state_pred_error_per_layer": [
+        2233.37158203125,
+        1546.82080078125,
+        996.9107666015625,
+        942.33251953125
+      ],
+      "mean_state_pred_error": 1429.8589172363281
+    },
+    "credit_bridge": {
+      "test_acc": 0.6185,
+      "mean_bp_cosine": 0.1528007835149765,
+      "mean_rho": 0.2638061139732599,
+      "mean_nudge_001": -0.0015675137401558459,
+      "mean_nudge_003": -0.004692548653110862,
+      "mean_nudge_01": -0.015524385962635279,
+      "bp_cosine_per_layer": [
+        0.048861026763916016,
+        0.17950567603111267,
+        0.17905107140541077,
+        0.20378535985946655
+      ],
+      "rho_per_layer": [
+        0.07314518839120865,
+        0.3309200406074524,
+        0.2789418697357178,
+        0.3722173571586609
+      ],
+      "nudge_per_layer": [
+        -0.017692390829324722,
+        -0.014619983732700348,
+        -0.014469930902123451,
+        -0.015315238386392593
+      ],
+      "final_value_loss": 0.64283842253685,
+      "final_term_loss": 0.27786159224510193,
+      "final_bridge_loss": 0.049283357608318326,
+      "final_tgrad_loss": 0.31569347660541536
+    }
+  },
+  "a0.25_L8_s42": {
+    "bp": {
+      "test_acc": 0.8955,
+      "mean_bp_cosine": 0.8411818519234657,
+      "mean_rho": 0.999948225915432,
+      "mean_nudge_001": -0.008358085062354803,
+      "mean_nudge_003": -0.023856630141381174,
+      "mean_nudge_01": -0.06703015509992838,
+      "bp_cosine_per_layer": [
+        0.8706932663917542,
+        0.8596300482749939,
+        0.8512309789657593,
+        0.842391848564148,
+        0.8334972858428955,
+        0.8275372385978699,
+        0.823634147644043,
+        0.8208400011062622
+      ],
+      "rho_per_layer": [
+        0.9999992847442627,
+        0.9999973773956299,
+        0.9999889731407166,
+        0.9999737739562988,
+        0.999952495098114,
+        0.9999229311943054,
+        0.9998778104782104,
+        0.999873161315918
+      ],
+      "nudge_per_layer": [
+        -0.19971789419651031,
+        -0.12236367166042328,
+        -0.07083894312381744,
+        -0.044348303228616714,
+        -0.031799670308828354,
+        -0.02545534446835518,
+        -0.02191336825489998,
+        -0.01980404555797577
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.835,
+      "mean_bp_cosine": 0.06675009592436254,
+      "mean_rho": 0.0799849673639983,
+      "mean_nudge_001": -6.642583684879355e-06,
+      "mean_nudge_003": -9.95869777398184e-06,
+      "mean_nudge_01": 0.00010420403850730509,
+      "bp_cosine_per_layer": [
+        -0.029614916071295738,
+        0.08655504137277603,
+        0.09347832202911377,
+        0.10665939003229141,
+        0.10298001766204834,
+        0.055703092366456985,
+        0.06406168639659882,
+        0.054178133606910706
+      ],
+      "rho_per_layer": [
+        -0.10576558113098145,
+        0.13653026521205902,
+        0.13744692504405975,
+        0.169493168592453,
+        0.1142939031124115,
+        0.09325758367776871,
+        0.1042378693819046,
+        -0.00961439497768879
+      ],
+      "nudge_per_layer": [
+        0.021624702960252762,
+        -0.006033358629792929,
+        -0.003085250034928322,
+        -0.0032903538085520267,
+        -0.0030274176970124245,
+        -0.0016871094703674316,
+        -0.0020643905736505985,
+        -0.0016031904378905892
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.7705,
+      "mean_bp_cosine": 0.2720195781439543,
+      "mean_rho": 0.24409680720418692,
+      "mean_nudge_001": -0.0037333294421841856,
+      "mean_nudge_003": -0.01090175670105964,
+      "mean_nudge_01": -0.03293398043024354,
+      "bp_cosine_per_layer": [
+        0.8497925996780396,
+        0.4692588150501251,
+        0.1727459728717804,
+        0.1467132717370987,
+        0.13944602012634277,
+        0.1262509524822235,
+        0.13373470306396484,
+        0.13821429014205933
+      ],
+      "rho_per_layer": [
+        0.7623768448829651,
+        0.4223487377166748,
+        0.18194836378097534,
+        0.12129966914653778,
+        0.11680327355861664,
+        0.15588274598121643,
+        0.1260674148797989,
+        0.06604740768671036
+      ],
+      "nudge_per_layer": [
+        -0.23203837871551514,
+        -0.013907128013670444,
+        -0.0036564678885042667,
+        -0.0029728016816079617,
+        -0.0027978671714663506,
+        -0.0026036568451672792,
+        -0.002694307826459408,
+        -0.0028012352995574474
+      ],
+      "state_pred_error_per_layer": [
+        10530.408203125,
+        8501.392578125,
+        5819.005859375,
+        4775.642578125,
+        4112.55224609375,
+        3853.83984375,
+        4342.64697265625,
+        3851.865478515625
+      ],
+      "mean_state_pred_error": 5723.419219970703
+    },
+    "credit_bridge": {
+      "test_acc": 0.616,
+      "mean_bp_cosine": 0.11742978217080235,
+      "mean_rho": 0.20278298296034336,
+      "mean_nudge_001": -0.000763369575906836,
+      "mean_nudge_003": -0.0022864671773277223,
+      "mean_nudge_01": -0.007572929258458316,
+      "bp_cosine_per_layer": [
+        0.0006081201136112213,
+        0.13602128624916077,
+        0.1264307200908661,
+        0.13147516548633575,
+        0.14721693098545074,
+        0.1274956315755844,
+        0.13849349319934845,
+        0.1316969096660614
+      ],
+      "rho_per_layer": [
+        0.0121258944272995,
+        0.21904222667217255,
+        0.23992177844047546,
+        0.23384322226047516,
+        0.24397125840187073,
+        0.24230614304542542,
+        0.23810306191444397,
+        0.1929502785205841
+      ],
+      "nudge_per_layer": [
+        0.0015163691714406013,
+        -0.009462166577577591,
+        -0.008223006501793861,
+        -0.008610539138317108,
+        -0.009565019980072975,
+        -0.00855704490095377,
+        -0.008995135314762592,
+        -0.008686890825629234
+      ],
+      "final_value_loss": 0.5891867377281189,
+      "final_term_loss": 0.3338063308954239,
+      "final_bridge_loss": 0.026477533173561097,
+      "final_tgrad_loss": 0.2289028725862503
+    }
+  },
+  "a0.25_L8_s123": {
+    "bp": {
+      "test_acc": 0.896,
+      "mean_bp_cosine": 0.8579939901828766,
+      "mean_rho": 0.9999475553631783,
+      "mean_nudge_001": -0.008832237246679142,
+      "mean_nudge_003": -0.02530999999726191,
+      "mean_nudge_01": -0.07218505791388452,
+      "bp_cosine_per_layer": [
+        0.8995364308357239,
+        0.8806806802749634,
+        0.8653636574745178,
+        0.852218508720398,
+        0.8451849222183228,
+        0.8416627645492554,
+        0.8401176333427429,
+        0.8391873240470886
+      ],
+      "rho_per_layer": [
+        0.9999992251396179,
+        0.9999973773956299,
+        0.9999878406524658,
+        0.9999729990959167,
+        0.9999438524246216,
+        0.9999128580093384,
+        0.9999063611030579,
+        0.9998599290847778
+      ],
+      "nudge_per_layer": [
+        -0.2192329615354538,
+        -0.13158643245697021,
+        -0.07524827122688293,
+        -0.04681030660867691,
+        -0.03351406753063202,
+        -0.026811176910996437,
+        -0.02318240888416767,
+        -0.02109483815729618
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.833,
+      "mean_bp_cosine": 0.07527017407119274,
+      "mean_rho": 0.08970394870266318,
+      "mean_nudge_001": -3.044791992579121e-05,
+      "mean_nudge_003": -8.396412886213511e-05,
+      "mean_nudge_01": -0.00019736881949938834,
+      "bp_cosine_per_layer": [
+        -0.030230171978473663,
+        0.1515132635831833,
+        0.08784028142690659,
+        0.07231537997722626,
+        0.09554086625576019,
+        0.09082843363285065,
+        0.05412551760673523,
+        0.0802278220653534
+      ],
+      "rho_per_layer": [
+        0.04074572026729584,
+        0.1662997603416443,
+        0.08309999853372574,
+        0.07389070093631744,
+        0.14882703125476837,
+        0.04519672691822052,
+        0.0252661295235157,
+        0.13430552184581757
+      ],
+      "nudge_per_layer": [
+        0.013973418623209,
+        -0.0047885943204164505,
+        -0.0020089128520339727,
+        -0.0015227446565404534,
+        -0.002120924647897482,
+        -0.0020366935059428215,
+        -0.001262089004740119,
+        -0.0018124101916328073
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.753,
+      "mean_bp_cosine": 0.26880230009555817,
+      "mean_rho": 0.23677901271730661,
+      "mean_nudge_001": -0.0032272498192469357,
+      "mean_nudge_003": -0.009375294612254947,
+      "mean_nudge_01": -0.027950568503001705,
+      "bp_cosine_per_layer": [
+        0.8559742569923401,
+        0.48324936628341675,
+        0.20313377678394318,
+        0.15002062916755676,
+        0.13207414746284485,
+        0.11473802477121353,
+        0.10703189671039581,
+        0.10419630259275436
+      ],
+      "rho_per_layer": [
+        0.712527871131897,
+        0.4307812452316284,
+        0.20181137323379517,
+        0.13881561160087585,
+        0.15075963735580444,
+        0.09288278967142105,
+        0.0890430212020874,
+        0.0776105523109436
+      ],
+      "nudge_per_layer": [
+        -0.19413721561431885,
+        -0.013532894663512707,
+        -0.004060069564729929,
+        -0.0029658200219273567,
+        -0.00256463885307312,
+        -0.0022291922941803932,
+        -0.00204793200828135,
+        -0.002066785003989935
+      ],
+      "state_pred_error_per_layer": [
+        8381.830078125,
+        6536.470703125,
+        4195.43359375,
+        3240.16162109375,
+        3085.78857421875,
+        3078.50390625,
+        3156.81787109375,
+        3267.9345703125
+      ],
+      "mean_state_pred_error": 4367.867614746094
+    },
+    "credit_bridge": {
+      "test_acc": 0.651,
+      "mean_bp_cosine": 0.131322234403342,
+      "mean_rho": 0.19494653795845807,
+      "mean_nudge_001": -0.0009437191256438382,
+      "mean_nudge_003": -0.002826296287821606,
+      "mean_nudge_01": -0.009364197961986065,
+      "bp_cosine_per_layer": [
+        0.021486874669790268,
+        0.13597777485847473,
+        0.14020901918411255,
+        0.16125136613845825,
+        0.15609152615070343,
+        0.1541982889175415,
+        0.14447104930877686,
+        0.13689197599887848
+      ],
+      "rho_per_layer": [
+        0.021052071824669838,
+        0.17873916029930115,
+        0.25896143913269043,
+        0.18253415822982788,
+        0.20761561393737793,
+        0.24419330060482025,
+        0.21560567617416382,
+        0.25087088346481323
+      ],
+      "nudge_per_layer": [
+        -0.006693178787827492,
+        -0.009655885398387909,
+        -0.009345939382910728,
+        -0.010369300842285156,
+        -0.010154420509934425,
+        -0.010046296752989292,
+        -0.009472687728703022,
+        -0.009175874292850494
+      ],
+      "final_value_loss": 0.41045001599788666,
+      "final_term_loss": 0.17502211028933526,
+      "final_bridge_loss": 0.01536440534889698,
+      "final_tgrad_loss": 0.2200635038137436
+    }
+  },
+  "a0.25_L8_s456": {
+    "bp": {
+      "test_acc": 0.8915,
+      "mean_bp_cosine": 0.8808343783020973,
+      "mean_rho": 0.9999449253082275,
+      "mean_nudge_001": -0.00886416298453696,
+      "mean_nudge_003": -0.025221005314961076,
+      "mean_nudge_01": -0.07025118661113083,
+      "bp_cosine_per_layer": [
+        0.9125592708587646,
+        0.9000785946846008,
+        0.8909372687339783,
+        0.8829550743103027,
+        0.8725745677947998,
+        0.8661020994186401,
+        0.8620940446853638,
+        0.8593741059303284
+      ],
+      "rho_per_layer": [
+        0.999998927116394,
+        0.9999973177909851,
+        0.9999907612800598,
+        0.9999756813049316,
+        0.9999436140060425,
+        0.9999102354049683,
+        0.9998818635940552,
+        0.9998610019683838
+      ],
+      "nudge_per_layer": [
+        -0.20531992614269257,
+        -0.12906500697135925,
+        -0.07575342804193497,
+        -0.04753156006336212,
+        -0.033830925822257996,
+        -0.02684028074145317,
+        -0.02297976426780224,
+        -0.020688600838184357
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8165,
+      "mean_bp_cosine": 0.1053345538675785,
+      "mean_rho": 0.1329206523951143,
+      "mean_nudge_001": -0.0005203891905694036,
+      "mean_nudge_003": -0.0015467511984752491,
+      "mean_nudge_01": -0.0049866703047882766,
+      "bp_cosine_per_layer": [
+        0.023487910628318787,
+        0.16097302734851837,
+        0.15321409702301025,
+        0.08171598613262177,
+        0.09132305532693863,
+        0.0943714827299118,
+        0.12134475260972977,
+        0.11624611914157867
+      ],
+      "rho_per_layer": [
+        0.006953349336981773,
+        0.2090909481048584,
+        0.23601846396923065,
+        0.09328415989875793,
+        0.10916170477867126,
+        0.12872634828090668,
+        0.15839380025863647,
+        0.12173644453287125
+      ],
+      "nudge_per_layer": [
+        -0.013351024128496647,
+        -0.0065501369535923,
+        -0.004914519842714071,
+        -0.002402292797341943,
+        -0.002674146555364132,
+        -0.0028969072736799717,
+        -0.0036479653790593147,
+        -0.0034563695080578327
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.765,
+      "mean_bp_cosine": 0.24095587618649006,
+      "mean_rho": 0.20889087952673435,
+      "mean_nudge_001": -0.0035492044535203604,
+      "mean_nudge_003": -0.01036601059968234,
+      "mean_nudge_01": -0.03139855920744594,
+      "bp_cosine_per_layer": [
+        0.8715300559997559,
+        0.44268321990966797,
+        0.14538408815860748,
+        0.1153520941734314,
+        0.09680549800395966,
+        0.08768410980701447,
+        0.08654746413230896,
+        0.08166047930717468
+      ],
+      "rho_per_layer": [
+        0.7710200548171997,
+        0.4253605008125305,
+        0.09275925159454346,
+        0.09712537378072739,
+        0.11123719066381454,
+        0.028249293565750122,
+        0.05002531409263611,
+        0.09535005688667297
+      ],
+      "nudge_per_layer": [
+        -0.22555799782276154,
+        -0.012845459394156933,
+        -0.003021553158760071,
+        -0.0024172987323254347,
+        -0.002025863155722618,
+        -0.0018953735707327724,
+        -0.0018195084994658828,
+        -0.0016054193256422877
+      ],
+      "state_pred_error_per_layer": [
+        7857.92041015625,
+        7327.2666015625,
+        4158.3056640625,
+        3231.240234375,
+        3079.712890625,
+        2843.65966796875,
+        3014.824951171875,
+        2904.82080078125
+      ],
+      "mean_state_pred_error": 4302.218902587891
+    },
+    "credit_bridge": {
+      "test_acc": 0.6845,
+      "mean_bp_cosine": 0.08619831164833158,
+      "mean_rho": 0.20396122278179973,
+      "mean_nudge_001": -0.0008905812101147603,
+      "mean_nudge_003": -0.0026642234588507563,
+      "mean_nudge_01": -0.008798376395134255,
+      "bp_cosine_per_layer": [
+        -0.005484581924974918,
+        0.03739434853196144,
+        0.0736197978258133,
+        0.10366753488779068,
+        0.11266068369150162,
+        0.12653732299804688,
+        0.11692580580711365,
+        0.12426558136940002
+      ],
+      "rho_per_layer": [
+        -0.0015162499621510506,
+        0.12250564247369766,
+        0.22542724013328552,
+        0.204342320561409,
+        0.2217923402786255,
+        0.28867796063423157,
+        0.33211782574653625,
+        0.23834270238876343
+      ],
+      "nudge_per_layer": [
+        0.0002549269702285528,
+        -0.006913396995514631,
+        -0.008808376267552376,
+        -0.010325662791728973,
+        -0.010591026395559311,
+        -0.011654841713607311,
+        -0.010967787355184555,
+        -0.011380846612155437
+      ],
+      "final_value_loss": 0.966836922454834,
+      "final_term_loss": 0.6684003219604492,
+      "final_bridge_loss": 0.09051647346019745,
+      "final_tgrad_loss": 0.20792012577056884
+    }
+  },
+  "a0.25_L12_s42": {
+    "bp": {
+      "test_acc": 0.897,
+      "mean_bp_cosine": 0.826698362827301,
+      "mean_rho": 0.9998699675003687,
+      "mean_nudge_001": -0.006519351474707946,
+      "mean_nudge_003": -0.0185935211678346,
+      "mean_nudge_01": -0.05259064872128268,
+      "bp_cosine_per_layer": [
+        0.8824102282524109,
+        0.865839958190918,
+        0.8526839017868042,
+        0.839972198009491,
+        0.826134204864502,
+        0.8190910220146179,
+        0.8134430646896362,
+        0.8095068335533142,
+        0.8061133027076721,
+        0.8034266233444214,
+        0.8016149997711182,
+        0.8001440167427063
+      ],
+      "rho_per_layer": [
+        0.9999990463256836,
+        0.9999975562095642,
+        0.9999887347221375,
+        0.9999736547470093,
+        0.9999515414237976,
+        0.9999052882194519,
+        0.9998592138290405,
+        0.999845027923584,
+        0.99979567527771,
+        0.9997392892837524,
+        0.999713659286499,
+        0.9996709227561951
+      ],
+      "nudge_per_layer": [
+        -0.21559840440750122,
+        -0.13125374913215637,
+        -0.0758625715970993,
+        -0.04728776216506958,
+        -0.03328181058168411,
+        -0.025909576565027237,
+        -0.021545151248574257,
+        -0.01875336468219757,
+        -0.016917269676923752,
+        -0.015656160190701485,
+        -0.014799138531088829,
+        -0.01422282587736845
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8165,
+      "mean_bp_cosine": 0.06692749153201778,
+      "mean_rho": 0.09511666395701468,
+      "mean_nudge_001": -0.0003660954941248444,
+      "mean_nudge_003": -0.0010870555027698476,
+      "mean_nudge_01": -0.003503491034886489,
+      "bp_cosine_per_layer": [
+        0.02035588026046753,
+        0.09721152484416962,
+        0.10017214715480804,
+        0.06879279017448425,
+        0.0898706465959549,
+        0.0775061622262001,
+        0.0738426148891449,
+        0.022470442578196526,
+        0.03698011115193367,
+        0.09759337455034256,
+        0.05344103276729584,
+        0.06489317119121552
+      ],
+      "rho_per_layer": [
+        -0.041805852204561234,
+        0.14336195588111877,
+        0.21263040602207184,
+        0.15326815843582153,
+        0.04533267021179199,
+        0.07981619238853455,
+        0.08665720373392105,
+        0.004602088592946529,
+        0.0780038833618164,
+        0.11769488453865051,
+        0.1415681391954422,
+        0.12027023732662201
+      ],
+      "nudge_per_layer": [
+        -0.007749770302325487,
+        -0.008321389555931091,
+        -0.003876405069604516,
+        -0.0026999912224709988,
+        -0.0026630363427102566,
+        -0.0033310302533209324,
+        -0.0026011697482317686,
+        -0.0011158722918480635,
+        -0.0018408913165330887,
+        -0.0036767907440662384,
+        -0.0019704087171703577,
+        -0.0021951368544250727
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.687,
+      "mean_bp_cosine": 0.1969081535935402,
+      "mean_rho": 0.18958334562679133,
+      "mean_nudge_001": -0.0026059118196523436,
+      "mean_nudge_003": -0.007709211970601852,
+      "mean_nudge_01": -0.02444164449116215,
+      "bp_cosine_per_layer": [
+        0.7618155479431152,
+        0.3189862072467804,
+        0.20356883108615875,
+        0.1471748650074005,
+        0.14541830122470856,
+        0.13144558668136597,
+        0.11054451763629913,
+        0.12045299261808395,
+        0.11467338353395462,
+        0.1017053946852684,
+        0.10614258050918579,
+        0.10096963495016098
+      ],
+      "rho_per_layer": [
+        0.6406711339950562,
+        0.31470298767089844,
+        0.1861359179019928,
+        0.17725443840026855,
+        0.11286133527755737,
+        0.1387007087469101,
+        0.07976903766393661,
+        0.11419158428907394,
+        0.13525697588920593,
+        0.13865813612937927,
+        0.10792528837919235,
+        0.1288726031780243
+      ],
+      "nudge_per_layer": [
+        -0.24276113510131836,
+        -0.011681582778692245,
+        -0.006372842937707901,
+        -0.004580066539347172,
+        -0.004361784551292658,
+        -0.004005158320069313,
+        -0.0033329487778246403,
+        -0.003609130624681711,
+        -0.003437052248045802,
+        -0.003070915350690484,
+        -0.0031537071336060762,
+        -0.0029334095306694508
+      ],
+      "state_pred_error_per_layer": [
+        13069.6103515625,
+        12902.267578125,
+        5325.7177734375,
+        4598.6796875,
+        4871.38818359375,
+        4525.17333984375,
+        4230.712890625,
+        4117.212890625,
+        3694.05078125,
+        3737.547607421875,
+        3966.26025390625,
+        4157.70654296875
+      ],
+      "mean_state_pred_error": 5766.360656738281
+    },
+    "credit_bridge": {
+      "test_acc": 0.6145,
+      "mean_bp_cosine": 0.07906571677691925,
+      "mean_rho": 0.138323282978187,
+      "mean_nudge_001": -0.000623912480174719,
+      "mean_nudge_003": -0.0018697016639634967,
+      "mean_nudge_01": -0.006201692313576738,
+      "bp_cosine_per_layer": [
+        -0.00034100248012691736,
+        0.04912012815475464,
+        0.07342620939016342,
+        0.08266763389110565,
+        0.08488726615905762,
+        0.08897420018911362,
+        0.09187051653862,
+        0.09561659395694733,
+        0.09157264232635498,
+        0.0947732925415039,
+        0.09517554938793182,
+        0.10104557126760483
+      ],
+      "rho_per_layer": [
+        0.03049650974571705,
+        0.10809889435768127,
+        0.08979646861553192,
+        0.17959633469581604,
+        0.1275440901517868,
+        0.17255432903766632,
+        0.16415373980998993,
+        0.11534757167100906,
+        0.17073199152946472,
+        0.15983673930168152,
+        0.15877583622932434,
+        0.18294689059257507
+      ],
+      "nudge_per_layer": [
+        -0.003660556860268116,
+        -0.004647519439458847,
+        -0.005617665126919746,
+        -0.006360755302011967,
+        -0.006202561780810356,
+        -0.006613034754991531,
+        -0.006794797722250223,
+        -0.006956290453672409,
+        -0.006790010258555412,
+        -0.006838815752416849,
+        -0.006875438615679741,
+        -0.007062861695885658
+      ],
+      "final_value_loss": 0.5342490439891815,
+      "final_term_loss": 0.2775654150247574,
+      "final_bridge_loss": 0.01819542294666171,
+      "final_tgrad_loss": 0.2384882021665573
+    }
+  },
+  "a0.25_L12_s123": {
+    "bp": {
+      "test_acc": 0.902,
+      "mean_bp_cosine": 0.7854474087556204,
+      "mean_rho": 0.9998569438854853,
+      "mean_nudge_001": -0.005986864319614445,
+      "mean_nudge_003": -0.01699222985189408,
+      "mean_nudge_01": -0.04738136318822702,
+      "bp_cosine_per_layer": [
+        0.8318638801574707,
+        0.8205357789993286,
+        0.8115277886390686,
+        0.8032979965209961,
+        0.7886118292808533,
+        0.7801527976989746,
+        0.7755030393600464,
+        0.769822359085083,
+        0.7656118869781494,
+        0.7624454498291016,
+        0.7592873573303223,
+        0.7567087411880493
+      ],
+      "rho_per_layer": [
+        0.9999992251396179,
+        0.9999969005584717,
+        0.9999886155128479,
+        0.9999699592590332,
+        0.9999390244483948,
+        0.9998932480812073,
+        0.9998554587364197,
+        0.9998190999031067,
+        0.9997619986534119,
+        0.9997045397758484,
+        0.9997037649154663,
+        0.9996514916419983
+      ],
+      "nudge_per_layer": [
+        -0.19001588225364685,
+        -0.1191760003566742,
+        -0.0696173831820488,
+        -0.04359997808933258,
+        -0.030619269236922264,
+        -0.023702502250671387,
+        -0.019644131883978844,
+        -0.01702706888318062,
+        -0.015273808501660824,
+        -0.014067228883504868,
+        -0.01321301981806755,
+        -0.012620084919035435
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8475,
+      "mean_bp_cosine": 0.08017303561791778,
+      "mean_rho": 0.06949969536314408,
+      "mean_nudge_001": -0.00017117233619501349,
+      "mean_nudge_003": -0.0005107432225486264,
+      "mean_nudge_01": -0.0016712878035226215,
+      "bp_cosine_per_layer": [
+        0.007017737254500389,
+        0.1750856339931488,
+        0.09811605513095856,
+        0.09870222210884094,
+        0.06923168152570724,
+        0.07072796672582626,
+        0.1299426257610321,
+        0.06372487545013428,
+        0.05202930420637131,
+        0.07090489566326141,
+        0.04892899468541145,
+        0.07766443490982056
+      ],
+      "rho_per_layer": [
+        -0.05082311853766441,
+        0.15127798914909363,
+        0.10723739117383957,
+        0.1141807958483696,
+        0.10590988397598267,
+        0.05159565061330795,
+        0.11685939878225327,
+        0.06997300684452057,
+        0.00848393514752388,
+        0.09840574860572815,
+        0.04575839638710022,
+        0.015137266367673874
+      ],
+      "nudge_per_layer": [
+        -9.43206250667572e-05,
+        -0.004689650610089302,
+        -0.0020264536142349243,
+        -0.0020407852716743946,
+        -0.0012656663311645389,
+        -0.0012923413887619972,
+        -0.0026080894749611616,
+        -0.0013762509915977716,
+        -0.0008721412159502506,
+        -0.0014046088326722383,
+        -0.0009981195908039808,
+        -0.0013870256952941418
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.653,
+      "mean_bp_cosine": 0.212141719336311,
+      "mean_rho": 0.16903599786261717,
+      "mean_nudge_001": -0.002121228181446592,
+      "mean_nudge_003": -0.006256894756612989,
+      "mean_nudge_01": -0.019624086019272607,
+      "bp_cosine_per_layer": [
+        0.7411977648735046,
+        0.3599514067173004,
+        0.24466437101364136,
+        0.18324854969978333,
+        0.1438049077987671,
+        0.1288401186466217,
+        0.12390943616628647,
+        0.11832019686698914,
+        0.1285572201013565,
+        0.12467152625322342,
+        0.12941977381706238,
+        0.11911536008119583
+      ],
+      "rho_per_layer": [
+        0.637965977191925,
+        0.3033628761768341,
+        0.22177954018115997,
+        0.1946793794631958,
+        0.08981841057538986,
+        0.07293770462274551,
+        0.06646254658699036,
+        0.08072252571582794,
+        0.1001453697681427,
+        0.10873826593160629,
+        0.08548736572265625,
+        0.06633201241493225
+      ],
+      "nudge_per_layer": [
+        -0.19135718047618866,
+        -0.010539980605244637,
+        -0.006164146587252617,
+        -0.004623022396117449,
+        -0.003351652529090643,
+        -0.002855603815987706,
+        -0.002745934296399355,
+        -0.0025949627161026,
+        -0.002952038776129484,
+        -0.002784580923616886,
+        -0.002810355508700013,
+        -0.0027095736004412174
+      ],
+      "state_pred_error_per_layer": [
+        11398.169921875,
+        8994.236328125,
+        6843.07958984375,
+        5338.4423828125,
+        5392.61279296875,
+        5254.96435546875,
+        5057.08544921875,
+        3968.3759765625,
+        3609.97021484375,
+        3456.01708984375,
+        3801.56005859375,
+        3800.938232421875
+      ],
+      "mean_state_pred_error": 5576.287699381511
+    },
+    "credit_bridge": {
+      "test_acc": 0.6165,
+      "mean_bp_cosine": 0.062155287557592,
+      "mean_rho": 0.1365320294474562,
+      "mean_nudge_001": -0.0005568450481708472,
+      "mean_nudge_003": -0.001666992757236585,
+      "mean_nudge_01": -0.005523480668974419,
+      "bp_cosine_per_layer": [
+        0.022855455055832863,
+        0.05216163024306297,
+        0.06243491545319557,
+        0.06105152890086174,
+        0.04914259910583496,
+        0.0686616599559784,
+        0.07184358686208725,
+        0.06793813407421112,
+        0.07173632830381393,
+        0.07284142076969147,
+        0.07256414741277695,
+        0.07263204455375671
+      ],
+      "rho_per_layer": [
+        0.035705771297216415,
+        0.06484436988830566,
+        0.15210987627506256,
+        0.16708198189735413,
+        0.14389753341674805,
+        0.17870034277439117,
+        0.1870872974395752,
+        0.1476944386959076,
+        0.15697413682937622,
+        0.11093902587890625,
+        0.14925891160964966,
+        0.1440906673669815
+      ],
+      "nudge_per_layer": [
+        -0.010396174155175686,
+        -0.0040237451903522015,
+        -0.004916047677397728,
+        -0.004709047265350819,
+        -0.003890307154506445,
+        -0.005256335251033306,
+        -0.00541608827188611,
+        -0.005244302563369274,
+        -0.005511538591235876,
+        -0.005561722908169031,
+        -0.005636853165924549,
+        -0.0057196058332920074
+      ],
+      "final_value_loss": 0.7472030250549316,
+      "final_term_loss": 0.48659993648529054,
+      "final_bridge_loss": 0.02176231173723936,
+      "final_tgrad_loss": 0.23884078254699706
+    }
+  },
+  "a0.25_L12_s456": {
+    "bp": {
+      "test_acc": 0.899,
+      "mean_bp_cosine": 0.7671962430079778,
+      "mean_rho": 0.9998593876759211,
+      "mean_nudge_001": -0.004748132584306101,
+      "mean_nudge_003": -0.013334368025728812,
+      "mean_nudge_01": -0.03616663611804446,
+      "bp_cosine_per_layer": [
+        0.8408721685409546,
+        0.8110387921333313,
+        0.7906323671340942,
+        0.7719681262969971,
+        0.7599710822105408,
+        0.7539124488830566,
+        0.7502779364585876,
+        0.7483201026916504,
+        0.7469743490219116,
+        0.7455896139144897,
+        0.7440224885940552,
+        0.7427754402160645
+      ],
+      "rho_per_layer": [
+        0.9999985694885254,
+        0.9999968409538269,
+        0.9999892711639404,
+        0.9999746680259705,
+        0.9999452233314514,
+        0.9998985528945923,
+        0.999815821647644,
+        0.9998071789741516,
+        0.9997591972351074,
+        0.9997697472572327,
+        0.9996993541717529,
+        0.9996582269668579
+      ],
+      "nudge_per_layer": [
+        -0.1375543624162674,
+        -0.0896252989768982,
+        -0.05422336980700493,
+        -0.034489020705223083,
+        -0.024439619854092598,
+        -0.019029833376407623,
+        -0.015829749405384064,
+        -0.013777680695056915,
+        -0.012396320700645447,
+        -0.011455517262220383,
+        -0.01080663874745369,
+        -0.01037222146987915
+      ]
+    },
+    "dfa": {
+      "test_acc": 0.8205,
+      "mean_bp_cosine": 0.11264437561233838,
+      "mean_rho": 0.10325007668385904,
+      "mean_nudge_001": -0.0003942390236867747,
+      "mean_nudge_003": -0.001173070602817461,
+      "mean_nudge_01": -0.003865133059055855,
+      "bp_cosine_per_layer": [
+        0.03703948110342026,
+        0.2760871648788452,
+        0.18428769707679749,
+        0.1331849992275238,
+        0.09719057381153107,
+        0.1258918195962906,
+        0.0748991146683693,
+        0.08436713367700577,
+        0.09110807627439499,
+        0.10076140612363815,
+        0.06335102021694183,
+        0.08356402069330215
+      ],
+      "rho_per_layer": [
+        0.048133689910173416,
+        0.19754433631896973,
+        0.16992174088954926,
+        0.13566580414772034,
+        0.05106702446937561,
+        0.13118207454681396,
+        0.057789772748947144,
+        0.09156530350446701,
+        0.05846566706895828,
+        0.07805749773979187,
+        0.11393842101097107,
+        0.10566958785057068
+      ],
+      "nudge_per_layer": [
+        -0.010506195947527885,
+        -0.007814407348632812,
+        -0.005055932328104973,
+        -0.003603969234973192,
+        -0.0024205115623772144,
+        -0.0030835624784231186,
+        -0.0020989018958061934,
+        -0.002160410862416029,
+        -0.0025065483059734106,
+        -0.0029421483632177114,
+        -0.0018882867880165577,
+        -0.0023007215932011604
+      ]
+    },
+    "state_bridge": {
+      "test_acc": 0.645,
+      "mean_bp_cosine": 0.17685540641347566,
+      "mean_rho": 0.14925638431062302,
+      "mean_nudge_001": -0.001906786697266701,
+      "mean_nudge_003": -0.005651665274247837,
+      "mean_nudge_01": -0.018038961667722713,
+      "bp_cosine_per_layer": [
+        0.7252062559127808,
+        0.29899632930755615,
+        0.17116883397102356,
+        0.13035137951374054,
+        0.11515486240386963,
+        0.09652335941791534,
+        0.0831163302063942,
+        0.08587749302387238,
+        0.1138496845960617,
+        0.09370164573192596,
+        0.10970423370599747,
+        0.09861446917057037
+      ],
+      "rho_per_layer": [
+        0.5776556730270386,
+        0.24244043231010437,
+        0.15723995864391327,
+        0.11212021112442017,
+        0.13527166843414307,
+        0.09345141798257828,
+        0.05218992009758949,
+        0.09958191215991974,
+        0.09601333737373352,
+        0.05242425203323364,
+        0.08741243183612823,
+        0.08527539670467377
+      ],
+      "nudge_per_layer": [
+        -0.1766481101512909,
+        -0.00916180107742548,
+        -0.004768161568790674,
+        -0.00345130218192935,
+        -0.0031899111345410347,
+        -0.002747050253674388,
+        -0.002392321825027466,
+        -0.0024352066684514284,
+        -0.0032566720619797707,
+        -0.0024684183299541473,
+        -0.003083357820287347,
+        -0.0028652269393205643
+      ],
+      "state_pred_error_per_layer": [
+        14567.1396484375,
+        8843.26171875,
+        5969.56787109375,
+        5045.4873046875,
+        4699.3388671875,
+        4805.94287109375,
+        4535.58935546875,
+        4793.4423828125,
+        4549.9345703125,
+        4690.251953125,
+        4812.1875,
+        4947.22509765625
+      ],
+      "mean_state_pred_error": 6021.614095052083
+    },
+    "credit_bridge": {
+      "test_acc": 0.5665,
+      "mean_bp_cosine": 0.0795192973067363,
+      "mean_rho": 0.11809263161073129,
+      "mean_nudge_001": -0.0007323032235338663,
+      "mean_nudge_003": -0.002197402771950389,
+      "mean_nudge_01": -0.007294998116170366,
+      "bp_cosine_per_layer": [
+        0.0279831662774086,
+        0.034206733107566833,
+        0.06341560930013657,
+        0.0695083886384964,
+        0.09047738462686539,
+        0.09644618630409241,
+        0.1011449545621872,
+        0.09714356064796448,
+        0.09739723801612854,
+        0.09588810801506042,
+        0.09328337758779526,
+        0.08733686059713364
+      ],
+      "rho_per_layer": [
+        -0.01078212633728981,
+        0.08389643579721451,
+        0.09591226279735565,
+        0.09822964668273926,
+        0.15539337694644928,
+        0.077084481716156,
+        0.18135306239128113,
+        0.13923753798007965,
+        0.15523496270179749,
+        0.1566530466079712,
+        0.16011789441108704,
+        0.12478099763393402
+      ],
+      "nudge_per_layer": [
+        -0.014675050042569637,
+        -0.0035726604983210564,
+        -0.005193591117858887,
+        -0.005878218449652195,
+        -0.007073326967656612,
+        -0.007276617921888828,
+        -0.0072667524218559265,
+        -0.007385652512311935,
+        -0.00723686721175909,
+        -0.007413622923195362,
+        -0.0073149921372532845,
+        -0.007252625189721584
+      ],
+      "final_value_loss": 0.8463798692464829,
+      "final_term_loss": 0.5014169258773327,
+      "final_bridge_loss": 0.03549532132707536,
+      "final_tgrad_loss": 0.3094676312446594
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L12_s123.json b/results/synth_ladder_v2_lo/synth_a0.0_L12_s123.json
new file mode 100644
index 0000000..6c23585
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L12_s123.json
@@ -0,0 +1,1722 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.0067736080646514,
+        0.5260489372253419,
+        0.4133770223617554,
+        0.4122163911819458,
+        0.40281385097503664,
+        0.36370011711120603,
+        0.33828531596660616,
+        0.29866596674919127,
+        0.333806049990654,
+        0.2945868176460266,
+        0.323841304898262,
+        0.2685866693496704,
+        0.3298992721319199,
+        0.25060330071449277,
+        0.25327417068481445,
+        0.2714337857246399,
+        0.29294549844264983,
+        0.21931176762580873,
+        0.2727045719623566,
+        0.20682705554962158,
+        0.2116490536928177,
+        0.21470289249420166,
+        0.2009852997303009,
+        0.1929733597636223,
+        0.18818628187179565,
+        0.1860898569047451,
+        0.16704004918932916,
+        0.16348838634490967,
+        0.23760174412727356,
+        0.1993864372253418,
+        0.28539346175193786,
+        0.21175305500030517,
+        0.20074062764644623,
+        0.17021721827983857,
+        0.17064657579660417,
+        0.15043421156406403,
+        0.16111934831142424,
+        0.14164673606455325,
+        0.12837897226810455,
+        0.12804475803375245,
+        0.13920657671391964,
+        0.11750857322216034,
+        0.11461956782341004,
+        0.12064324700832367,
+        0.12140779693126678,
+        0.10785262448787689,
+        0.11697521369457245,
+        0.11477361053824425,
+        0.10196099520921707,
+        0.10024751018285752,
+        0.10045197930335999,
+        0.11292316007614135,
+        0.13151926128268243,
+        0.09808630378246308,
+        0.10186688977479935,
+        0.09669416191577912,
+        0.09587533710598946,
+        0.08454020006656647,
+        0.08168289212062955,
+        0.07666999014616012,
+        0.08046016120910644,
+        0.08711373453140259,
+        0.08040154814720153,
+        0.07493037286698818,
+        0.07147429277896881,
+        0.07314489345550537,
+        0.07231674332618714,
+        0.06915788714289665,
+        0.0673254727602005,
+        0.06822554222345352,
+        0.06570249862521887,
+        0.06449803622961044,
+        0.06389484124183654,
+        0.0637645405292511,
+        0.06311032083034515,
+        0.06264074442386627,
+        0.062277248072624206,
+        0.06212917380332947,
+        0.06193282167315483,
+        0.06185461490154266
+      ],
+      "train_acc": [
+        0.6301,
+        0.7973,
+        0.8351,
+        0.8363,
+        0.8453,
+        0.8538,
+        0.8636,
+        0.885,
+        0.8718,
+        0.8834,
+        0.8689,
+        0.8876,
+        0.8709,
+        0.896,
+        0.9007,
+        0.8928,
+        0.8871,
+        0.9143,
+        0.8958,
+        0.9193,
+        0.9172,
+        0.9153,
+        0.9212,
+        0.9237,
+        0.9254,
+        0.9249,
+        0.9337,
+        0.9366,
+        0.9097,
+        0.9214,
+        0.8924,
+        0.9129,
+        0.9176,
+        0.9332,
+        0.9307,
+        0.9394,
+        0.9357,
+        0.9463,
+        0.9531,
+        0.9528,
+        0.9459,
+        0.9566,
+        0.9606,
+        0.9562,
+        0.9554,
+        0.9626,
+        0.9547,
+        0.9582,
+        0.9655,
+        0.9634,
+        0.9647,
+        0.9563,
+        0.9502,
+        0.9658,
+        0.9642,
+        0.9654,
+        0.9653,
+        0.9742,
+        0.976,
+        0.9777,
+        0.976,
+        0.9715,
+        0.9751,
+        0.9801,
+        0.9825,
+        0.9803,
+        0.9819,
+        0.9835,
+        0.9849,
+        0.9832,
+        0.9854,
+        0.9859,
+        0.987,
+        0.9868,
+        0.9871,
+        0.9874,
+        0.9876,
+        0.9873,
+        0.9877,
+        0.9879
+      ],
+      "test_acc": [
+        0.77,
+        0.785,
+        0.841,
+        0.8315,
+        0.8475,
+        0.8605,
+        0.8405,
+        0.8505,
+        0.8555,
+        0.8665,
+        0.8515,
+        0.8665,
+        0.868,
+        0.878,
+        0.882,
+        0.873,
+        0.878,
+        0.889,
+        0.8825,
+        0.8825,
+        0.8785,
+        0.8805,
+        0.897,
+        0.8855,
+        0.891,
+        0.892,
+        0.891,
+        0.885,
+        0.8925,
+        0.887,
+        0.8695,
+        0.891,
+        0.894,
+        0.895,
+        0.897,
+        0.8935,
+        0.907,
+        0.909,
+        0.8995,
+        0.899,
+        0.9045,
+        0.9035,
+        0.911,
+        0.902,
+        0.9095,
+        0.903,
+        0.9095,
+        0.9125,
+        0.909,
+        0.9075,
+        0.9095,
+        0.9055,
+        0.9045,
+        0.916,
+        0.9145,
+        0.908,
+        0.9105,
+        0.9125,
+        0.9185,
+        0.917,
+        0.9155,
+        0.915,
+        0.917,
+        0.9165,
+        0.9155,
+        0.916,
+        0.915,
+        0.915,
+        0.9165,
+        0.9155,
+        0.916,
+        0.915,
+        0.9155,
+        0.9165,
+        0.915,
+        0.9145,
+        0.914,
+        0.914,
+        0.9145,
+        0.9145
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.832116425037384,
+        0.8141677379608154,
+        0.8023761510848999,
+        0.7934653759002686,
+        0.7857377529144287,
+        0.7797414064407349,
+        0.7767306566238403,
+        0.7744640111923218,
+        0.7725205421447754,
+        0.7711977958679199,
+        0.7703278064727783,
+        0.7695904970169067
+      ],
+      "perturbation_rho": [
+        0.9999991655349731,
+        0.9999972581863403,
+        0.9999898672103882,
+        0.999970555305481,
+        0.9999305009841919,
+        0.9999109506607056,
+        0.9998676180839539,
+        0.999832808971405,
+        0.9997924566268921,
+        0.9997202754020691,
+        0.9997268319129944,
+        0.9997689127922058
+      ],
+      "nudging": {
+        "0.001": [
+          -0.028135288506746292,
+          -0.012758657336235046,
+          -0.006248572841286659,
+          -0.0036318942438811064,
+          -0.0025165460538119078,
+          -0.0019575022161006927,
+          -0.0016390127129852772,
+          -0.001437678001821041,
+          -0.0013056336902081966,
+          -0.0012165943626314402,
+          -0.0011555720120668411,
+          -0.0011164546012878418
+        ],
+        "0.003": [
+          -0.07627765089273453,
+          -0.03659018874168396,
+          -0.018335573375225067,
+          -0.010755512863397598,
+          -0.007481487933546305,
+          -0.005830957554280758,
+          -0.004887878894805908,
+          -0.004290360026061535,
+          -0.00389806367456913,
+          -0.00363331800326705,
+          -0.0034519662149250507,
+          -0.0033352887257933617
+        ],
+        "0.01": [
+          -0.17892791330814362,
+          -0.10439710319042206,
+          -0.05659153312444687,
+          -0.034265220165252686,
+          -0.02416030317544937,
+          -0.01895919442176819,
+          -0.015955276787281036,
+          -0.01404004916548729,
+          -0.01277724839746952,
+          -0.011922692880034447,
+          -0.011335920542478561,
+          -0.010958053171634674
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.0924509696960447,
+        1.03269632396698,
+        0.7241468557357789,
+        0.6072907946586609,
+        0.5515357565402985,
+        0.5621125034332275,
+        0.4907495887756348,
+        0.5219814170837402,
+        0.5708751871109009,
+        0.5191205244064331,
+        0.5519021101236343,
+        0.544450197315216,
+        0.61959801902771,
+        0.5679715090274811,
+        0.6162963458061218,
+        0.6608567100048065,
+        0.5779239411354065,
+        0.5276209714889526,
+        1.01328331489563,
+        0.519946471786499,
+        0.8604830993652344,
+        0.9144351811885834,
+        1.1253784037590027,
+        0.9372499645233154,
+        0.8480413142204285,
+        0.5914154142379761,
+        0.640305153465271,
+        0.5981941318511963,
+        1.135121632194519,
+        0.6362483476638794,
+        0.5418768036842346,
+        0.9402659358978271,
+        1.0797846031188965,
+        0.7645710904121399,
+        1.2322801650047301,
+        0.7908753656864166,
+        0.7349962800979615,
+        0.7140366114616394,
+        0.8069758752822876,
+        0.6646730958938598,
+        0.9489161729097366,
+        0.582535719871521,
+        0.6260909730911255,
+        0.698049334526062,
+        0.6176723531961441,
+        0.6726475171089172,
+        0.5952546514511109,
+        0.7433469331741333,
+        0.5916723924636841,
+        0.6389080200195313,
+        0.5947137939929962,
+        0.5748984836578369,
+        0.7570524696826935,
+        0.44153712167739867,
+        0.44736578378677366,
+        0.5139478639602661,
+        0.4778360952377319,
+        0.4288335760116577,
+        0.4595722749233246,
+        0.4253603402137756,
+        0.42853148097991944,
+        0.42120102367401124,
+        0.4038095116376877,
+        0.3923453485250473,
+        0.4267167915344238,
+        0.40038953356742857,
+        0.36469351987838744,
+        0.3733260186672211,
+        0.35249682779312136,
+        0.3941283622741699,
+        0.34860973496437075,
+        0.33470872814655306,
+        0.3397274105072021,
+        0.342729074048996,
+        0.33137304639816284,
+        0.33342387351989744,
+        0.3293384352207184,
+        0.32710764508247375,
+        0.32727917928695677,
+        0.32547602846622464
+      ],
+      "train_acc": [
+        0.2403,
+        0.6217,
+        0.7314,
+        0.777,
+        0.7934,
+        0.7883,
+        0.8173,
+        0.81,
+        0.8007,
+        0.8185,
+        0.8119,
+        0.8107,
+        0.7957,
+        0.8153,
+        0.8048,
+        0.7935,
+        0.8084,
+        0.8208,
+        0.7284,
+        0.8177,
+        0.7633,
+        0.7409,
+        0.7108,
+        0.7466,
+        0.7492,
+        0.8055,
+        0.7943,
+        0.7997,
+        0.7105,
+        0.7922,
+        0.8115,
+        0.7389,
+        0.7191,
+        0.77,
+        0.696,
+        0.7666,
+        0.7733,
+        0.7799,
+        0.7683,
+        0.7917,
+        0.7586,
+        0.8071,
+        0.7992,
+        0.7877,
+        0.8068,
+        0.7913,
+        0.8053,
+        0.7778,
+        0.808,
+        0.8032,
+        0.803,
+        0.812,
+        0.7775,
+        0.845,
+        0.8439,
+        0.8279,
+        0.8362,
+        0.8495,
+        0.8413,
+        0.8497,
+        0.8436,
+        0.8522,
+        0.8533,
+        0.853,
+        0.8501,
+        0.8533,
+        0.8681,
+        0.8617,
+        0.8716,
+        0.8595,
+        0.8705,
+        0.8761,
+        0.8748,
+        0.8724,
+        0.8778,
+        0.8759,
+        0.8782,
+        0.8797,
+        0.8794,
+        0.8799
+      ],
+      "test_acc": [
+        0.5005,
+        0.673,
+        0.7145,
+        0.727,
+        0.743,
+        0.7505,
+        0.71,
+        0.7185,
+        0.703,
+        0.689,
+        0.745,
+        0.7005,
+        0.7235,
+        0.7795,
+        0.64,
+        0.7805,
+        0.7205,
+        0.518,
+        0.762,
+        0.7215,
+        0.5445,
+        0.483,
+        0.6085,
+        0.591,
+        0.659,
+        0.6965,
+        0.746,
+        0.5735,
+        0.7155,
+        0.7325,
+        0.5895,
+        0.6945,
+        0.653,
+        0.5595,
+        0.671,
+        0.68,
+        0.702,
+        0.6095,
+        0.722,
+        0.6895,
+        0.681,
+        0.747,
+        0.6935,
+        0.6485,
+        0.7315,
+        0.687,
+        0.666,
+        0.699,
+        0.698,
+        0.667,
+        0.656,
+        0.6015,
+        0.732,
+        0.7635,
+        0.7205,
+        0.7695,
+        0.762,
+        0.7965,
+        0.8045,
+        0.7785,
+        0.779,
+        0.77,
+        0.8045,
+        0.8215,
+        0.812,
+        0.8345,
+        0.8125,
+        0.8345,
+        0.807,
+        0.8265,
+        0.8345,
+        0.8335,
+        0.829,
+        0.8375,
+        0.836,
+        0.838,
+        0.8425,
+        0.843,
+        0.8425,
+        0.841
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.009534038603305817,
+        0.2771005630493164,
+        0.12846891582012177,
+        0.12727834284305573,
+        0.09264838695526123,
+        0.08494879305362701,
+        0.1454543173313141,
+        0.07647830247879028,
+        0.055110231041908264,
+        0.08491981029510498,
+        0.054209403693675995,
+        0.06925329566001892
+      ],
+      "perturbation_rho": [
+        -0.030354971066117287,
+        0.19958093762397766,
+        0.10430362075567245,
+        0.06749340891838074,
+        0.08917459845542908,
+        0.06985980272293091,
+        0.08990536630153656,
+        -0.0003178045153617859,
+        -0.05352415516972542,
+        0.12398940324783325,
+        0.05844062566757202,
+        0.06276053190231323
+      ],
+      "nudging": {
+        "0.001": [
+          5.0953527534147725e-05,
+          -0.0006460470613092184,
+          -0.0002715848677325994,
+          -0.00028075071168132126,
+          -0.00018533585534896702,
+          -0.00017889743321575224,
+          -0.00029740406898781657,
+          -0.0001274347014259547,
+          -7.406625081785023e-05,
+          -0.0001561331155244261,
+          -0.0001032993895933032,
+          -0.00014120049308985472
+        ],
+        "0.003": [
+          0.00016943782975431532,
+          -0.0019340584985911846,
+          -0.0008146192994900048,
+          -0.0008385812398046255,
+          -0.0005608047358691692,
+          -0.0005349678685888648,
+          -0.0008904121932573617,
+          -0.00038351857801899314,
+          -0.00022607628488913178,
+          -0.00046768866013735533,
+          -0.0003058650763705373,
+          -0.0004211085324641317
+        ],
+        "0.01": [
+          0.0008368014823645353,
+          -0.00641840323805809,
+          -0.0027151124086230993,
+          -0.002792379120364785,
+          -0.0018645611125975847,
+          -0.0017843465320765972,
+          -0.002957880962640047,
+          -0.0012784524587914348,
+          -0.0007560949889011681,
+          -0.0015581869520246983,
+          -0.0010259757982566953,
+          -0.0014001178788021207
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.8275699935913086,
+        1.3385464324951173,
+        1.037378346633911,
+        1.002308666419983,
+        1.0388273836135864,
+        1.0882213558197023,
+        1.1394051094055175,
+        1.1788917055130006,
+        1.2267918197631835,
+        1.2478832811355591,
+        1.2316707176208497,
+        1.287934114074707,
+        1.2420732460021973,
+        1.2143509733200073,
+        1.229138567352295,
+        1.259750719833374,
+        1.1612068832397462,
+        1.149783327293396,
+        1.1361305335998535,
+        1.1167785579681397,
+        1.1316240934371948,
+        1.1020189935684204,
+        1.0256468997955321,
+        1.0201313499450684,
+        0.9847993452072143,
+        0.9970695999145508,
+        1.0227494039535523,
+        1.1330445571899415,
+        1.2469683200836181,
+        1.1566339334487914,
+        1.107145287322998,
+        1.110690570449829,
+        1.0532963357925416,
+        1.0852850601196289,
+        1.0935607889175416,
+        1.0834732231140136,
+        1.0420629257202147,
+        1.0830944820404054,
+        1.0634357900619507,
+        1.0303276639938355,
+        0.9689252651214599,
+        1.0131777705192566,
+        1.0103633685112,
+        1.002309990501404,
+        1.0113068084716796,
+        0.9995921211242675,
+        1.0161544053077698,
+        0.9966502132415771,
+        1.0186468648910523,
+        1.0372472515106201,
+        0.9930810668945312,
+        0.9901977378845215,
+        0.988507303237915,
+        0.9591489524841309,
+        0.935456734085083,
+        0.9176784860610961,
+        0.8929200078964233,
+        0.8777516023635864,
+        0.8699161693572998,
+        0.8663567218780518,
+        0.855108270072937,
+        0.8465001301765442,
+        0.848315406036377,
+        0.8377359997272491,
+        0.830757266998291,
+        0.831167548942566,
+        0.8265859796524048,
+        0.819621584033966,
+        0.8219145364761352,
+        0.8136607124328613,
+        0.8122711290359497,
+        0.8106639209747315,
+        0.8065893723487854,
+        0.8030635206222534,
+        0.8029474701881408,
+        0.8009245029449463,
+        0.8000903869628906,
+        0.79931964969635,
+        0.7988908242225647,
+        0.7986321613311768
+      ],
+      "train_acc": [
+        0.3739,
+        0.5487,
+        0.6322,
+        0.6501,
+        0.6387,
+        0.6203,
+        0.615,
+        0.6129,
+        0.5974,
+        0.5921,
+        0.5918,
+        0.5772,
+        0.5826,
+        0.5914,
+        0.5855,
+        0.5734,
+        0.6028,
+        0.6044,
+        0.6072,
+        0.6171,
+        0.6172,
+        0.6223,
+        0.6371,
+        0.6377,
+        0.6495,
+        0.6412,
+        0.6326,
+        0.6082,
+        0.5968,
+        0.619,
+        0.6391,
+        0.6371,
+        0.6521,
+        0.6487,
+        0.646,
+        0.6521,
+        0.6558,
+        0.6525,
+        0.6501,
+        0.6609,
+        0.6693,
+        0.6536,
+        0.6586,
+        0.6603,
+        0.6543,
+        0.6585,
+        0.6599,
+        0.6665,
+        0.6666,
+        0.6712,
+        0.6763,
+        0.6816,
+        0.6819,
+        0.6887,
+        0.6966,
+        0.6988,
+        0.7027,
+        0.705,
+        0.7072,
+        0.7108,
+        0.7089,
+        0.7167,
+        0.711,
+        0.715,
+        0.7173,
+        0.7164,
+        0.7205,
+        0.722,
+        0.7179,
+        0.7223,
+        0.7237,
+        0.7214,
+        0.7216,
+        0.7228,
+        0.7234,
+        0.7226,
+        0.7229,
+        0.7229,
+        0.7233,
+        0.7239
+      ],
+      "test_acc": [
+        0.5075,
+        0.5705,
+        0.6225,
+        0.6155,
+        0.5905,
+        0.588,
+        0.567,
+        0.568,
+        0.543,
+        0.5535,
+        0.479,
+        0.5455,
+        0.5425,
+        0.5415,
+        0.5135,
+        0.564,
+        0.57,
+        0.521,
+        0.534,
+        0.547,
+        0.5265,
+        0.5945,
+        0.557,
+        0.581,
+        0.591,
+        0.5685,
+        0.589,
+        0.519,
+        0.548,
+        0.5655,
+        0.5655,
+        0.611,
+        0.589,
+        0.613,
+        0.605,
+        0.605,
+        0.5675,
+        0.616,
+        0.592,
+        0.6325,
+        0.6195,
+        0.602,
+        0.6085,
+        0.602,
+        0.5995,
+        0.623,
+        0.628,
+        0.6295,
+        0.6315,
+        0.634,
+        0.6305,
+        0.628,
+        0.638,
+        0.6505,
+        0.6515,
+        0.654,
+        0.65,
+        0.6515,
+        0.656,
+        0.6505,
+        0.6615,
+        0.6595,
+        0.658,
+        0.666,
+        0.6655,
+        0.663,
+        0.661,
+        0.6675,
+        0.6715,
+        0.6735,
+        0.667,
+        0.669,
+        0.6765,
+        0.6755,
+        0.677,
+        0.677,
+        0.677,
+        0.6755,
+        0.675,
+        0.675
+      ],
+      "state_pred_error": [
+        0.6583093455791473,
+        0.2847297016143799,
+        0.22077271904945373,
+        0.21189437193870544,
+        0.1841041277885437,
+        0.17305933623313904,
+        0.17701434428691865,
+        0.18802506301403046,
+        0.17837908656597137,
+        0.14958413000106813,
+        0.13064928512573243,
+        0.1284900181055069,
+        0.13219893939495087,
+        0.13047706623077393,
+        0.12345472877025604,
+        0.10324463622570038,
+        0.09139569116830826,
+        0.07699145336151123,
+        0.06765981405973434,
+        0.07321135756969452,
+        0.07089905383586884,
+        0.06882416786551475,
+        0.05610226457118988,
+        0.043682216036319735,
+        0.035003681576251985,
+        0.02870281513929367,
+        0.02616107567548752,
+        0.0247726686835289,
+        0.023823431384563446,
+        0.024860127294063568,
+        0.02640067371726036,
+        0.02769387246966362,
+        0.028516952562332155,
+        0.02941493996977806,
+        0.029591170537471772,
+        0.028317847082018854,
+        0.027129681679606436,
+        0.026555932518839837,
+        0.026938045769929884,
+        0.027426798117160797,
+        0.029536254298686983,
+        0.03211808215379715,
+        0.03510575920939445,
+        0.03469557763338089,
+        0.03365132007598877,
+        0.03368182533979416,
+        0.03552556530237198,
+        0.038989124006032945,
+        0.04195216841697693,
+        0.043111143064498904,
+        0.044202814984321596,
+        0.045387097096443174,
+        0.04451717386841774,
+        0.04319920334815979,
+        0.042182978856563566,
+        0.041060500395298,
+        0.0400146517932415,
+        0.03966583462953568,
+        0.03924502938389778,
+        0.03796827178895473,
+        0.03660108530521393,
+        0.03574252983927727,
+        0.03452657175064087,
+        0.03394979124069214,
+        0.0328981254786253,
+        0.031669361919164654,
+        0.030848443555831908,
+        0.029799468955397607,
+        0.028912526750564577,
+        0.028214104449748992,
+        0.027432609269022943,
+        0.026476147815585136,
+        0.02564660669863224,
+        0.024992754793167114,
+        0.024431089624762536,
+        0.023907900010049343,
+        0.023127568793296815,
+        0.02265733232498169,
+        0.022044888520240783,
+        0.021540785717964174
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.7589784860610962,
+        0.34465640783309937,
+        0.20695620775222778,
+        0.15412747859954834,
+        0.14041899144649506,
+        0.152847021818161,
+        0.1464981734752655,
+        0.13855373859405518,
+        0.13026131689548492,
+        0.11798880249261856,
+        0.11249798536300659,
+        0.11956378817558289
+      ],
+      "perturbation_rho": [
+        0.6762608289718628,
+        0.29351934790611267,
+        0.15623700618743896,
+        0.07772233337163925,
+        0.09808109700679779,
+        0.14218339323997498,
+        0.09985582530498505,
+        0.07779418677091599,
+        0.10923020541667938,
+        0.10118008404970169,
+        0.08211226016283035,
+        0.09183197468519211
+      ],
+      "nudging": {
+        "0.001": [
+          -0.024234283715486526,
+          -0.0011283548083156347,
+          -0.0005652708932757378,
+          -0.00041053639142774045,
+          -0.00037075550062581897,
+          -0.00039911235217005014,
+          -0.0003868499770760536,
+          -0.00036323058884590864,
+          -0.00033692887518554926,
+          -0.000307242211420089,
+          -0.0002827422576956451,
+          -0.00030345225241035223
+        ],
+        "0.003": [
+          -0.07142189145088196,
+          -0.0033810725435614586,
+          -0.0016954769380390644,
+          -0.0012313042534515262,
+          -0.0011121997376903892,
+          -0.0011966262245550752,
+          -0.0011605183826759458,
+          -0.0010896101593971252,
+          -0.0010103486711159348,
+          -0.0009211936267092824,
+          -0.000847844872623682,
+          -0.0009103003540076315
+        ],
+        "0.01": [
+          -0.22324970364570618,
+          -0.01123635284602642,
+          -0.0056420015171170235,
+          -0.0040974924340844154,
+          -0.0037027131766080856,
+          -0.003983458504080772,
+          -0.0038626876194030046,
+          -0.0036268262192606926,
+          -0.003363188588991761,
+          -0.0030670221894979477,
+          -0.0028224957641214132,
+          -0.0030306889675557613
+        ]
+      },
+      "state_pred_error_per_layer": [
+        10215.58203125,
+        8926.0654296875,
+        5285.6044921875,
+        5192.0830078125,
+        4575.35791015625,
+        4063.82666015625,
+        4966.6884765625,
+        5378.6435546875,
+        4702.37890625,
+        4026.143310546875,
+        3985.35595703125,
+        3780.156494140625
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.093309115028381,
+        1.032017181968689,
+        0.7077153354644775,
+        0.5732980075836182,
+        0.5402240601539612,
+        0.5183043882369995,
+        0.5319672570228576,
+        0.5359590018749237,
+        0.5482052456855774,
+        0.5222824983596802,
+        0.6027764239311219,
+        0.49652273721694945,
+        0.5368509518623352,
+        0.566478079509735,
+        0.6263480365753173,
+        0.7491202196836472,
+        0.6788468971252442,
+        0.7347880103588105,
+        0.8662578244686127,
+        0.678591609096527,
+        0.8630354214191437,
+        0.712297385597229,
+        0.7786388912200928,
+        0.7855329002380371,
+        0.8845748617887497,
+        0.8085215629577637,
+        0.7420635931015015,
+        0.7875441513061523,
+        0.7688868448257447,
+        0.7473984729766846,
+        1.0297006687164307,
+        0.8987462726593017,
+        0.9227742693901062,
+        0.9423508636474609,
+        0.7886569627761841,
+        0.8662117418289185,
+        1.0016330226898194,
+        0.922345392036438,
+        0.8514365245819092,
+        0.8499950613498688,
+        0.8536573698043823,
+        0.8536672010421753,
+        0.837739602279663,
+        0.9626629913330078,
+        0.8708203351974487,
+        0.9226528865814209,
+        0.886489924621582,
+        0.884385742521286,
+        0.8640118010520935,
+        0.9462248080253601,
+        0.9388958973884582,
+        0.9003979402542114,
+        0.8771900144577026,
+        0.8063458614349365,
+        0.7585287186145783,
+        0.7785314264297485,
+        0.7583562124252319,
+        0.7231489379882813,
+        0.7116691125869751,
+        0.7012166356563568,
+        0.6967055747032166,
+        0.6990642721176148,
+        0.7341344322204589,
+        0.7070941570281982,
+        0.717008107471466,
+        0.7219762700080872,
+        0.7167341491699218,
+        0.7061620636940003,
+        0.7071943338394165,
+        0.6979920616149903,
+        0.696011471939087,
+        0.6982332837104798,
+        0.6905044673919678,
+        0.690191311454773,
+        0.6926393260002136,
+        0.6883825535297394,
+        0.6852098932266235,
+        0.6849852310180664,
+        0.6831081211090088,
+        0.6824430053234101
+      ],
+      "train_acc": [
+        0.2427,
+        0.6203,
+        0.7378,
+        0.7896,
+        0.7939,
+        0.805,
+        0.8035,
+        0.8076,
+        0.8018,
+        0.8194,
+        0.8027,
+        0.8223,
+        0.8124,
+        0.8119,
+        0.8022,
+        0.7784,
+        0.791,
+        0.7844,
+        0.7596,
+        0.7915,
+        0.7527,
+        0.774,
+        0.7627,
+        0.7535,
+        0.7315,
+        0.7344,
+        0.7496,
+        0.7405,
+        0.7384,
+        0.7403,
+        0.6992,
+        0.7114,
+        0.709,
+        0.7067,
+        0.7358,
+        0.7261,
+        0.712,
+        0.7299,
+        0.7476,
+        0.7511,
+        0.7532,
+        0.7552,
+        0.7561,
+        0.7327,
+        0.7464,
+        0.734,
+        0.7416,
+        0.7412,
+        0.743,
+        0.7265,
+        0.7276,
+        0.7301,
+        0.7357,
+        0.7407,
+        0.7519,
+        0.7433,
+        0.7493,
+        0.7556,
+        0.7553,
+        0.758,
+        0.7592,
+        0.761,
+        0.7445,
+        0.7562,
+        0.7549,
+        0.7515,
+        0.7516,
+        0.7555,
+        0.7569,
+        0.7587,
+        0.7586,
+        0.7565,
+        0.7596,
+        0.7617,
+        0.7564,
+        0.7595,
+        0.7618,
+        0.7621,
+        0.7611,
+        0.7614
+      ],
+      "test_acc": [
+        0.5025,
+        0.6865,
+        0.7425,
+        0.7505,
+        0.74,
+        0.7655,
+        0.755,
+        0.7195,
+        0.7695,
+        0.7425,
+        0.757,
+        0.74,
+        0.7145,
+        0.657,
+        0.61,
+        0.6675,
+        0.6895,
+        0.691,
+        0.6775,
+        0.6985,
+        0.693,
+        0.678,
+        0.6795,
+        0.6445,
+        0.6355,
+        0.6535,
+        0.676,
+        0.646,
+        0.68,
+        0.5935,
+        0.603,
+        0.6625,
+        0.604,
+        0.725,
+        0.6155,
+        0.6425,
+        0.715,
+        0.6955,
+        0.7035,
+        0.686,
+        0.667,
+        0.709,
+        0.683,
+        0.715,
+        0.6905,
+        0.716,
+        0.709,
+        0.6965,
+        0.688,
+        0.66,
+        0.685,
+        0.664,
+        0.7035,
+        0.7035,
+        0.6935,
+        0.6825,
+        0.6795,
+        0.7065,
+        0.697,
+        0.7135,
+        0.7185,
+        0.705,
+        0.7205,
+        0.7035,
+        0.6945,
+        0.714,
+        0.7205,
+        0.709,
+        0.7085,
+        0.7195,
+        0.7175,
+        0.72,
+        0.714,
+        0.72,
+        0.7195,
+        0.72,
+        0.7185,
+        0.7185,
+        0.721,
+        0.721
+      ],
+      "value_loss": [
+        2.895308603286743,
+        1.0838360973358154,
+        0.8661615056991577,
+        0.7228779357194901,
+        0.6979825808525085,
+        0.654473484325409,
+        0.7223839604854584,
+        0.8182331377506256,
+        0.8379502923965454,
+        0.8138473363876343,
+        1.1507868383049964,
+        0.7328620315790176,
+        0.8565217294692993,
+        1.0016156348228455,
+        1.277318878364563,
+        1.7167091186523438,
+        1.3837544082641602,
+        1.6866768316745757,
+        2.521582665491104,
+        1.798458749961853,
+        2.762005415582657,
+        1.7501773468017578,
+        2.065952481651306,
+        1.7661181676864623,
+        2.237529104137421,
+        1.6968138498306276,
+        1.5028521341323853,
+        1.4401282972335816,
+        1.5227922265052796,
+        1.3540578876495362,
+        2.2935845052957533,
+        1.8538220872879028,
+        1.921490113067627,
+        1.8531652376174927,
+        1.2972030296325683,
+        1.6667764266967773,
+        2.4392109436035154,
+        2.1221363357543943,
+        1.9600661560058594,
+        2.1009968710660933,
+        2.162639275550842,
+        1.8537513482332229,
+        1.9440034482955932,
+        1.821842461013794,
+        1.9722608186721802,
+        1.6478357261657715,
+        1.5106155110836028,
+        1.482781691980362,
+        1.3237692507743835,
+        1.3403249841690064,
+        1.2857119444847107,
+        1.2022730991363526,
+        0.9818777618408203,
+        0.8647946514129639,
+        0.6914702701568604,
+        0.7234345043182373,
+        0.7077870290756225,
+        0.6724249305725097,
+        0.6462549682617188,
+        0.584807029056549,
+        0.5510385043144226,
+        0.5364630532741547,
+        0.5645569776535034,
+        0.552950176525116,
+        0.49300712423324583,
+        0.5377466377735138,
+        0.502735111618042,
+        0.5176207973480225,
+        0.46474625415802,
+        0.4454069378852844,
+        0.44403015842437743,
+        0.4113505308389664,
+        0.40353398851156236,
+        0.42983919105529783,
+        0.419776428937912,
+        0.4019131669998169,
+        0.38927605810165405,
+        0.39006197519302366,
+        0.3755714391708374,
+        0.37253577736616134
+      ],
+      "term_loss": [
+        1.7315585552215575,
+        0.8666729364395142,
+        0.7229979902267456,
+        0.596312265253067,
+        0.5545540596961975,
+        0.5088294490814209,
+        0.5825292092323303,
+        0.6813051890134811,
+        0.7038109269142151,
+        0.6887646074295044,
+        1.0119939782977103,
+        0.6134444280862809,
+        0.7291853536605835,
+        0.8673401327610016,
+        1.1276171969413757,
+        1.5555007932901384,
+        1.2286012786865235,
+        1.513133518087864,
+        2.2361230753183365,
+        1.5198300567150116,
+        2.3595263324260713,
+        1.4453560852050782,
+        1.7648071206092835,
+        1.5087391733169555,
+        1.882237844824791,
+        1.3722010416030883,
+        1.2332301671981811,
+        1.113333308649063,
+        1.2077602449655533,
+        1.0543692749023437,
+        1.915369022846222,
+        1.5654558784484864,
+        1.5864534119606017,
+        1.561221913743019,
+        1.0531947800636292,
+        1.3718099038124085,
+        2.127058590698242,
+        1.779372572517395,
+        1.6149614444255829,
+        1.7391510653555393,
+        1.844177998828888,
+        1.5599529803752898,
+        1.665471398806572,
+        1.48765220746994,
+        1.592831818151474,
+        1.3742333667755127,
+        1.2108251216828823,
+        1.1529828948736192,
+        0.9720637693166733,
+        1.0287326244413852,
+        0.9365793524742126,
+        0.889251443862915,
+        0.7040525654792785,
+        0.5985294085502625,
+        0.4618072083234787,
+        0.47211782517433165,
+        0.46372374649047854,
+        0.4095201286315918,
+        0.396888076210022,
+        0.3395151155948639,
+        0.32013212871551516,
+        0.31056776316165924,
+        0.332690350818634,
+        0.32696542110443116,
+        0.2811112231254578,
+        0.3146396808505058,
+        0.2787236780166626,
+        0.30104646191596984,
+        0.26121058802604674,
+        0.24297695212364198,
+        0.24487788009643555,
+        0.21334869912862778,
+        0.21118227637484668,
+        0.23297631640434266,
+        0.2227356671333313,
+        0.20269683571159838,
+        0.19634508168697357,
+        0.19681874605417252,
+        0.18710794867277145,
+        0.18445234730243684
+      ],
+      "bridge_loss": [
+        0.8910756826514378,
+        0.03931298022270203,
+        0.005479304197430611,
+        0.008322687608003617,
+        0.026911671420931815,
+        0.031393191632628444,
+        0.020954727735370396,
+        0.017316379761695862,
+        0.013768722853064536,
+        0.010478140366077424,
+        0.01041390485316515,
+        0.006281406325101852,
+        0.00699371280670166,
+        0.00916883425116539,
+        0.01326431538015604,
+        0.011463350397348403,
+        0.012470959171652795,
+        0.021742843547463416,
+        0.10813169282078743,
+        0.13266532423496247,
+        0.22559858589172363,
+        0.1508849209487438,
+        0.13424171340465546,
+        0.08663208992481232,
+        0.1692257175862789,
+        0.14401090178489684,
+        0.09763954291343689,
+        0.14743438252806665,
+        0.1390697629928589,
+        0.12534118332862854,
+        0.16236012780070305,
+        0.09478195638656617,
+        0.13880339596271515,
+        0.0893877745948732,
+        0.060379807114601135,
+        0.09944173128604888,
+        0.10493364100456237,
+        0.15071102497577668,
+        0.16545130755901336,
+        0.1862475948754698,
+        0.13735291347503661,
+        0.11587412934750319,
+        0.10125242130011321,
+        0.13694310559034348,
+        0.19478518126010894,
+        0.08310441122055054,
+        0.11459392108917237,
+        0.14490415418148042,
+        0.16996705425977707,
+        0.11792534888982772,
+        0.1546827676296234,
+        0.12324597455859185,
+        0.09212502805590629,
+        0.08768177535533905,
+        0.05900698439478874,
+        0.07211811376214028,
+        0.07296420599222184,
+        0.09570572891235352,
+        0.08214142266511917,
+        0.08104119520187378,
+        0.06706379449367524,
+        0.061731532573699954,
+        0.05951230276823044,
+        0.05904238046109676,
+        0.04439769803881645,
+        0.052698305994272235,
+        0.05405294654369354,
+        0.04950189056396485,
+        0.036288917183876036,
+        0.036671600222587586,
+        0.033586744678020475,
+        0.03112454196512699,
+        0.027874897088855505,
+        0.03210000774860382,
+        0.03222285799980164,
+        0.034796000942587856,
+        0.02962491188645363,
+        0.02967825172841549,
+        0.025359011243283748,
+        0.0251624245762825
+      ],
+      "tgrad_loss": [
+        0.2726743935823441,
+        0.1778501721382141,
+        0.13768420703411102,
+        0.1182429804623127,
+        0.11651685256958008,
+        0.11425084311962128,
+        0.11890002069473267,
+        0.11961156708002091,
+        0.12037064489126205,
+        0.1146045907497406,
+        0.1283789484590292,
+        0.11313620157241822,
+        0.1203426679611206,
+        0.12510666944980622,
+        0.13643737218379975,
+        0.14974497756958008,
+        0.14268217465877533,
+        0.15180046949386597,
+        0.17732788567543029,
+        0.14596336963176726,
+        0.17688049802184105,
+        0.1539363568544388,
+        0.16690364735126495,
+        0.17074689378738403,
+        0.18606554128527641,
+        0.18060191497802736,
+        0.17198242325782775,
+        0.17936062285900117,
+        0.17596222264766692,
+        0.17434742822647095,
+        0.2158553662776947,
+        0.19358424880504607,
+        0.1962333065032959,
+        0.20255555391311644,
+        0.18362843871116638,
+        0.19552478518486022,
+        0.2072187364578247,
+        0.19205274913311005,
+        0.17965343070030212,
+        0.17559819491207598,
+        0.181108380818367,
+        0.1779242508649826,
+        0.1772796312212944,
+        0.1972471403121948,
+        0.1846438142299652,
+        0.19049793491363526,
+        0.18519648184776305,
+        0.1848946546435356,
+        0.18173843351602553,
+        0.19366701731681824,
+        0.1944498215675354,
+        0.1897756907939911,
+        0.18570017099380492,
+        0.17858346576690673,
+        0.17065607466697694,
+        0.17919855782985689,
+        0.17109907450675965,
+        0.1671990744113922,
+        0.16722547005414962,
+        0.1642507126569748,
+        0.16384257422685622,
+        0.16416375482082368,
+        0.17235432732105255,
+        0.16694237639904022,
+        0.16749820382595063,
+        0.17040865378379821,
+        0.16995848925113677,
+        0.16707244870662688,
+        0.1672467480659485,
+        0.16575838651657104,
+        0.1655655403137207,
+        0.1668772896051407,
+        0.16447681208848952,
+        0.16476286969184875,
+        0.16481790508031846,
+        0.16442033001184464,
+        0.16330606236457826,
+        0.1635649757742882,
+        0.16310447854995727,
+        0.16292100727558137
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.0035465662367641926,
+        -0.001160490675829351,
+        0.00486466521397233,
+        0.012821277603507042,
+        0.012568866834044456,
+        0.019143100827932358,
+        0.022381767630577087,
+        0.024246837943792343,
+        0.027966029942035675,
+        0.03333558514714241,
+        0.04247187077999115,
+        0.04586232826113701
+      ],
+      "perturbation_rho": [
+        0.01447216235101223,
+        -0.01648387312889099,
+        0.027175014838576317,
+        0.03045208379626274,
+        0.05211577191948891,
+        -0.0074118818156421185,
+        0.0508866012096405,
+        0.01983593963086605,
+        0.03707783669233322,
+        0.12354743480682373,
+        0.16596439480781555,
+        0.10420688986778259
+      ],
+      "nudging": {
+        "0.001": [
+          0.00018672729493118823,
+          -4.912609438179061e-05,
+          -7.719603308942169e-05,
+          -0.00012457264529075474,
+          -0.0001271502551389858,
+          -0.0001674975355854258,
+          -0.0001832679263316095,
+          -0.00020593422232195735,
+          -0.0002297492028446868,
+          -0.00026241032173857093,
+          -0.00029993863427080214,
+          -0.0003139717737212777
+        ],
+        "0.003": [
+          0.0005920766270719469,
+          -0.00014469146844930947,
+          -0.00023059282102622092,
+          -0.00037341262213885784,
+          -0.00037795325624756515,
+          -0.0005033073830418289,
+          -0.0005485712317749858,
+          -0.000615192111581564,
+          -0.0006871747900731862,
+          -0.0007873581489548087,
+          -0.0009002696024253964,
+          -0.0009423828450962901
+        ],
+        "0.01": [
+          0.002342540305107832,
+          -0.0004765552293974906,
+          -0.0007624666905030608,
+          -0.0012423819862306118,
+          -0.0012568822130560875,
+          -0.0016762344166636467,
+          -0.0018269497668370605,
+          -0.0020500137470662594,
+          -0.0022837575525045395,
+          -0.0026187507901340723,
+          -0.0029940432868897915,
+          -0.0031347349286079407
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L12_s42.json b/results/synth_ladder_v2_lo/synth_a0.0_L12_s42.json
new file mode 100644
index 0000000..b02cb6c
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L12_s42.json
@@ -0,0 +1,1722 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        0.9691492250442505,
+        0.5541921775817871,
+        0.5057802117824555,
+        0.3705566248893738,
+        0.38152624435424803,
+        0.4184226482987404,
+        0.32005277891159056,
+        0.3379063062667847,
+        0.32360546998977663,
+        0.30641096782684324,
+        0.32992204971313477,
+        0.3234290994644165,
+        0.2892835647583008,
+        0.27116408772468564,
+        0.25336739110946654,
+        0.26921175379753115,
+        0.2770581937789917,
+        0.2615867853164673,
+        0.29473981132507326,
+        0.29788853192329406,
+        0.22695203926563262,
+        0.21405179328918458,
+        0.22035713307857513,
+        0.18809561533927918,
+        0.22268259687423705,
+        0.22361898727416993,
+        0.2335181351661682,
+        0.22086384482383728,
+        0.20982224086523055,
+        0.16931071857213975,
+        0.16913503708839417,
+        0.17825531432628633,
+        0.1811700684905052,
+        0.15162764992713929,
+        0.15718278613090514,
+        0.21250098304748535,
+        0.19473938479423522,
+        0.18452690076828002,
+        0.143575802898407,
+        0.1587403874397278,
+        0.18108075993061065,
+        0.14308705676496028,
+        0.12316284523010254,
+        0.12980578224658967,
+        0.13384961998462677,
+        0.12410676991939544,
+        0.13440781029462814,
+        0.12151769155859947,
+        0.110893037545681,
+        0.10822025581598282,
+        0.10422320003509522,
+        0.10408455009460449,
+        0.10522357710003853,
+        0.09913086289763451,
+        0.09440416249632835,
+        0.0924928415775299,
+        0.10758058831691741,
+        0.09329749217033387,
+        0.09131886911988259,
+        0.08834524278640747,
+        0.08724276800155639,
+        0.09795933984518052,
+        0.08578420240879059,
+        0.08392888104915619,
+        0.08338507117033005,
+        0.07894570019841195,
+        0.07729433171749114,
+        0.07803093535900116,
+        0.0760855792760849,
+        0.0740779890447855,
+        0.07295384521484374,
+        0.07261191159486771,
+        0.07193484778404236,
+        0.07130219305753707,
+        0.07076054784059524,
+        0.07032060540914535,
+        0.07007708017826081,
+        0.06981839218139649,
+        0.06965371253490447,
+        0.06955726127624512
+      ],
+      "train_acc": [
+        0.6449,
+        0.7847,
+        0.8076,
+        0.8517,
+        0.8456,
+        0.8355,
+        0.8739,
+        0.8646,
+        0.8696,
+        0.877,
+        0.8727,
+        0.8717,
+        0.8838,
+        0.8874,
+        0.8988,
+        0.8932,
+        0.89,
+        0.8946,
+        0.8868,
+        0.8843,
+        0.908,
+        0.913,
+        0.912,
+        0.9236,
+        0.9124,
+        0.9094,
+        0.9042,
+        0.9092,
+        0.9156,
+        0.9327,
+        0.9341,
+        0.9292,
+        0.9273,
+        0.9418,
+        0.9392,
+        0.9196,
+        0.9237,
+        0.9267,
+        0.9448,
+        0.9393,
+        0.9299,
+        0.9445,
+        0.9559,
+        0.9506,
+        0.9499,
+        0.9523,
+        0.9464,
+        0.9558,
+        0.96,
+        0.9615,
+        0.9641,
+        0.9626,
+        0.9646,
+        0.9651,
+        0.971,
+        0.9701,
+        0.9608,
+        0.9673,
+        0.9699,
+        0.9703,
+        0.9728,
+        0.9674,
+        0.9725,
+        0.974,
+        0.9729,
+        0.9769,
+        0.9787,
+        0.9789,
+        0.9802,
+        0.9813,
+        0.9817,
+        0.9819,
+        0.9818,
+        0.9833,
+        0.9839,
+        0.9838,
+        0.9836,
+        0.9837,
+        0.9838,
+        0.9841
+      ],
+      "test_acc": [
+        0.7685,
+        0.807,
+        0.8325,
+        0.843,
+        0.831,
+        0.8405,
+        0.8685,
+        0.8405,
+        0.867,
+        0.864,
+        0.852,
+        0.8645,
+        0.86,
+        0.874,
+        0.8745,
+        0.86,
+        0.879,
+        0.887,
+        0.868,
+        0.879,
+        0.877,
+        0.882,
+        0.8865,
+        0.883,
+        0.8925,
+        0.8885,
+        0.879,
+        0.8895,
+        0.896,
+        0.9,
+        0.9005,
+        0.8915,
+        0.901,
+        0.9035,
+        0.9035,
+        0.892,
+        0.8955,
+        0.903,
+        0.9075,
+        0.9035,
+        0.8935,
+        0.9035,
+        0.911,
+        0.9085,
+        0.911,
+        0.904,
+        0.9005,
+        0.915,
+        0.91,
+        0.914,
+        0.913,
+        0.911,
+        0.916,
+        0.908,
+        0.9145,
+        0.9095,
+        0.9135,
+        0.917,
+        0.915,
+        0.912,
+        0.9105,
+        0.9115,
+        0.912,
+        0.9135,
+        0.915,
+        0.912,
+        0.9115,
+        0.9135,
+        0.914,
+        0.912,
+        0.915,
+        0.916,
+        0.915,
+        0.914,
+        0.9155,
+        0.9155,
+        0.914,
+        0.9145,
+        0.914,
+        0.9135
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8936765193939209,
+        0.875713586807251,
+        0.8523612022399902,
+        0.835299551486969,
+        0.8243429064750671,
+        0.8148068189620972,
+        0.809612512588501,
+        0.8055970668792725,
+        0.8028815984725952,
+        0.8011909127235413,
+        0.8001247644424438,
+        0.799472451210022
+      ],
+      "perturbation_rho": [
+        0.9999988079071045,
+        0.999997615814209,
+        0.9999872446060181,
+        0.9999661445617676,
+        0.9999244213104248,
+        0.9998762011528015,
+        0.9998204708099365,
+        0.9997811317443848,
+        0.9997683167457581,
+        0.9997478723526001,
+        0.9997052550315857,
+        0.9996634721755981
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02805091254413128,
+          -0.013208158314228058,
+          -0.0066702282056212425,
+          -0.003945831675082445,
+          -0.002750034909695387,
+          -0.002152357716113329,
+          -0.0018071717349812388,
+          -0.0015899442369118333,
+          -0.0014494031202048063,
+          -0.0013547888956964016,
+          -0.0012928021606057882,
+          -0.0012546603102236986
+        ],
+        "0.003": [
+          -0.07421690225601196,
+          -0.03749680891633034,
+          -0.019483720883727074,
+          -0.011658146977424622,
+          -0.008164399303495884,
+          -0.006405050866305828,
+          -0.0053850943222641945,
+          -0.004741774406284094,
+          -0.004324971232563257,
+          -0.004044387489557266,
+          -0.003860148834064603,
+          -0.0037467507645487785
+        ],
+        "0.01": [
+          -0.15880361199378967,
+          -0.10216463357210159,
+          -0.058997806161642075,
+          -0.0368044376373291,
+          -0.02622675709426403,
+          -0.02074911817908287,
+          -0.017529264092445374,
+          -0.015481802634894848,
+          -0.014148212037980556,
+          -0.013247357681393623,
+          -0.012655021622776985,
+          -0.012289617210626602
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.062218222427368,
+        1.0111772974014281,
+        0.7069105566978454,
+        0.5894367267131806,
+        0.5519145173072815,
+        0.5328701040267945,
+        0.5143702904701233,
+        0.5037649742126464,
+        0.5267402291297912,
+        0.5362862730979919,
+        0.5706932378292083,
+        0.5366109603404999,
+        0.5748039415359497,
+        0.6984620532989502,
+        0.6995907222032547,
+        0.6355872257232666,
+        0.5994791854858399,
+        0.6105069580078125,
+        0.755839087486267,
+        0.7219365031242371,
+        0.7605537420272828,
+        0.7302447261810303,
+        0.7689904579162598,
+        0.6884315003395081,
+        0.6808914300203324,
+        0.6728718101501465,
+        0.7055298049449921,
+        0.6493824725151062,
+        0.6272500898987055,
+        0.5995918445706367,
+        0.5774760694503784,
+        0.6369666585922241,
+        0.6621656682491303,
+        0.6987312582492828,
+        0.7215407601356506,
+        0.7177485369443893,
+        0.6749118590354919,
+        0.7748493107795715,
+        0.6226130012512207,
+        0.59164186668396,
+        0.8793521818518638,
+        0.5344610214710236,
+        0.6223686878204345,
+        0.5742042091012001,
+        0.6648194321632386,
+        0.6924330261230469,
+        0.6171909283161163,
+        0.6225832930564881,
+        0.5864963626980781,
+        0.5502301546096802,
+        0.6340892565965652,
+        0.5290304160118103,
+        0.593668369102478,
+        0.5533372339248657,
+        0.6408262311697006,
+        0.4738055535316467,
+        0.5309371071815491,
+        0.4636679154396057,
+        0.5358815372467041,
+        0.45992880697250366,
+        0.458472611618042,
+        0.46539330711364746,
+        0.47984019027948377,
+        0.44190584735870364,
+        0.45413577545881273,
+        0.43303393692970277,
+        0.4372877141952515,
+        0.45334326210021975,
+        0.4221468412399292,
+        0.4217998252868652,
+        0.4122497503757477,
+        0.4124288455963135,
+        0.4077335179507732,
+        0.3989184023857117,
+        0.3986554427713156,
+        0.39380938061475756,
+        0.39323648450374604,
+        0.39136115703582763,
+        0.39004903059005736,
+        0.38944205143451693
+      ],
+      "train_acc": [
+        0.2526,
+        0.628,
+        0.7334,
+        0.7835,
+        0.7903,
+        0.7999,
+        0.8125,
+        0.8145,
+        0.8116,
+        0.8155,
+        0.8113,
+        0.8242,
+        0.8189,
+        0.7977,
+        0.7993,
+        0.8201,
+        0.8267,
+        0.8299,
+        0.8104,
+        0.8145,
+        0.8077,
+        0.818,
+        0.8117,
+        0.8259,
+        0.8297,
+        0.8323,
+        0.8296,
+        0.8424,
+        0.8483,
+        0.8508,
+        0.8527,
+        0.8463,
+        0.842,
+        0.8346,
+        0.8304,
+        0.8329,
+        0.8415,
+        0.8272,
+        0.8528,
+        0.8517,
+        0.8201,
+        0.8663,
+        0.8515,
+        0.8582,
+        0.8449,
+        0.8462,
+        0.8551,
+        0.8533,
+        0.8555,
+        0.8652,
+        0.8528,
+        0.8688,
+        0.8578,
+        0.8656,
+        0.8516,
+        0.8779,
+        0.8655,
+        0.8768,
+        0.8643,
+        0.8772,
+        0.8783,
+        0.8791,
+        0.8749,
+        0.8827,
+        0.8802,
+        0.8822,
+        0.8846,
+        0.8819,
+        0.8855,
+        0.8854,
+        0.8897,
+        0.8892,
+        0.8904,
+        0.893,
+        0.8915,
+        0.8936,
+        0.8923,
+        0.8933,
+        0.8942,
+        0.8943
+      ],
+      "test_acc": [
+        0.496,
+        0.674,
+        0.718,
+        0.7275,
+        0.701,
+        0.768,
+        0.757,
+        0.771,
+        0.765,
+        0.653,
+        0.771,
+        0.7435,
+        0.7445,
+        0.73,
+        0.716,
+        0.759,
+        0.774,
+        0.7065,
+        0.726,
+        0.741,
+        0.7765,
+        0.7795,
+        0.736,
+        0.75,
+        0.7835,
+        0.762,
+        0.7935,
+        0.7395,
+        0.7585,
+        0.7765,
+        0.75,
+        0.786,
+        0.722,
+        0.807,
+        0.7605,
+        0.7365,
+        0.782,
+        0.7935,
+        0.7915,
+        0.7045,
+        0.803,
+        0.803,
+        0.7895,
+        0.7795,
+        0.7665,
+        0.795,
+        0.771,
+        0.82,
+        0.799,
+        0.8235,
+        0.809,
+        0.8115,
+        0.808,
+        0.815,
+        0.823,
+        0.8165,
+        0.8285,
+        0.8075,
+        0.837,
+        0.8315,
+        0.8305,
+        0.821,
+        0.8325,
+        0.8325,
+        0.841,
+        0.835,
+        0.8295,
+        0.843,
+        0.838,
+        0.8405,
+        0.8355,
+        0.839,
+        0.843,
+        0.842,
+        0.842,
+        0.841,
+        0.8415,
+        0.8405,
+        0.8415,
+        0.8405
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.022819485515356064,
+        0.10611869394779205,
+        0.08763782680034637,
+        0.06361521780490875,
+        0.08818645775318146,
+        0.07573625445365906,
+        0.07574683427810669,
+        0.025106821209192276,
+        0.029594242572784424,
+        0.09018446505069733,
+        0.04191981628537178,
+        0.05728168785572052
+      ],
+      "perturbation_rho": [
+        -0.0498071163892746,
+        0.18554872274398804,
+        0.19663047790527344,
+        0.14150168001651764,
+        0.06663499772548676,
+        0.12039551883935928,
+        0.12434913218021393,
+        0.05157296732068062,
+        0.09405694901943207,
+        0.07376686483621597,
+        0.061272408813238144,
+        0.10341489315032959
+      ],
+      "nudging": {
+        "0.001": [
+          -0.00011285400250926614,
+          -0.0005286485538817942,
+          -0.00023863595561124384,
+          -0.0001699515269137919,
+          -0.00019242128473706543,
+          -0.00020841028890572488,
+          -0.00017818620835896581,
+          -8.221696771215647e-05,
+          -0.00012262666132301092,
+          -0.0002659684687387198,
+          -7.3433002398815e-05,
+          -0.00015967088984325528
+        ],
+        "0.003": [
+          -0.00024241290520876646,
+          -0.0015879659913480282,
+          -0.0007213138160295784,
+          -0.0005122334696352482,
+          -0.0005765345995314419,
+          -0.0006294770864769816,
+          -0.0005317657487466931,
+          -0.0002465004217810929,
+          -0.000370893714716658,
+          -0.0007963281823322177,
+          -0.00021844575530849397,
+          -0.00047936002374626696
+        ],
+        "0.01": [
+          0.000284646637737751,
+          -0.005279931705445051,
+          -0.002400151453912258,
+          -0.0017087131273001432,
+          -0.0019207102013751864,
+          -0.0020927595905959606,
+          -0.0017691099783405662,
+          -0.0008208724320866168,
+          -0.0012333606136962771,
+          -0.0026537002995610237,
+          -0.0007275568204931915,
+          -0.0015953464899212122
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.9170144527435302,
+        1.3574325843811035,
+        1.0219036561965942,
+        1.0417006726264955,
+        1.1545506413459778,
+        1.0443228019714355,
+        1.069793510723114,
+        1.1563185817718507,
+        1.2034203029632569,
+        1.2093300688743591,
+        1.2421297967910767,
+        1.2121269897460938,
+        1.2421570183753967,
+        1.227959622001648,
+        1.2875715705871582,
+        1.2968539279937745,
+        1.2598994022369385,
+        1.2438384927749633,
+        1.257016632270813,
+        1.3526598268508911,
+        1.3369555353164673,
+        1.2425631269454955,
+        1.1589678699493409,
+        1.1722875375747681,
+        1.196830919456482,
+        1.2976784371376038,
+        1.4418400695800782,
+        1.5240311195373535,
+        1.3321481491088867,
+        1.1875362323760987,
+        1.1509679439544678,
+        1.137692106437683,
+        1.0400111068725586,
+        1.0969075414657592,
+        1.0011995708465575,
+        1.0474750366210936,
+        1.0674565059661865,
+        1.0524237518310546,
+        1.0477498797416687,
+        1.0017159150123596,
+        1.0123031642913818,
+        1.032210140323639,
+        0.9697861175537109,
+        0.9672701766967774,
+        0.9756033916473389,
+        0.9363939442634582,
+        0.9666579208374023,
+        0.9819006387710572,
+        0.9768954681396484,
+        0.9663044677734375,
+        0.9702695720672607,
+        0.942413935470581,
+        0.9659700645446777,
+        0.9314608770370484,
+        0.9171806238174438,
+        0.9250450847625732,
+        0.9110939646720886,
+        0.909934245300293,
+        0.8979906294822693,
+        0.8799821901321411,
+        0.8749663389205933,
+        0.8692678067207337,
+        0.861733264541626,
+        0.8568462301254273,
+        0.8578854080200196,
+        0.8505663597106934,
+        0.8482229557037354,
+        0.8452105672836304,
+        0.8483084865570069,
+        0.8421358110427857,
+        0.8392665149688721,
+        0.8388012510299683,
+        0.8370298583984375,
+        0.8364136636734009,
+        0.8345022481918335,
+        0.8332059104919434,
+        0.831232413482666,
+        0.830617018032074,
+        0.830040982055664,
+        0.8296857852935791
+      ],
+      "train_acc": [
+        0.3517,
+        0.5406,
+        0.637,
+        0.6539,
+        0.642,
+        0.649,
+        0.6309,
+        0.6125,
+        0.5943,
+        0.585,
+        0.5871,
+        0.5969,
+        0.581,
+        0.5812,
+        0.5714,
+        0.5742,
+        0.5815,
+        0.5852,
+        0.6003,
+        0.5856,
+        0.5956,
+        0.6059,
+        0.6156,
+        0.6163,
+        0.6124,
+        0.6008,
+        0.5782,
+        0.5726,
+        0.6073,
+        0.6195,
+        0.6281,
+        0.6301,
+        0.6442,
+        0.6423,
+        0.6638,
+        0.6437,
+        0.6416,
+        0.6452,
+        0.642,
+        0.654,
+        0.6567,
+        0.6568,
+        0.6646,
+        0.6658,
+        0.663,
+        0.6761,
+        0.6684,
+        0.6674,
+        0.6674,
+        0.674,
+        0.6749,
+        0.6792,
+        0.6738,
+        0.6805,
+        0.686,
+        0.6842,
+        0.6903,
+        0.6848,
+        0.6934,
+        0.6995,
+        0.6987,
+        0.7028,
+        0.7012,
+        0.7035,
+        0.7027,
+        0.7097,
+        0.7091,
+        0.712,
+        0.7104,
+        0.7087,
+        0.7106,
+        0.7127,
+        0.7098,
+        0.711,
+        0.714,
+        0.7122,
+        0.7127,
+        0.7147,
+        0.7143,
+        0.7145
+      ],
+      "test_acc": [
+        0.4755,
+        0.5345,
+        0.6515,
+        0.6045,
+        0.6325,
+        0.614,
+        0.575,
+        0.583,
+        0.576,
+        0.551,
+        0.5735,
+        0.5495,
+        0.5625,
+        0.5185,
+        0.516,
+        0.5475,
+        0.561,
+        0.5915,
+        0.4995,
+        0.493,
+        0.539,
+        0.6,
+        0.5995,
+        0.58,
+        0.554,
+        0.5895,
+        0.486,
+        0.5515,
+        0.5825,
+        0.5845,
+        0.5545,
+        0.6015,
+        0.599,
+        0.623,
+        0.6035,
+        0.6035,
+        0.61,
+        0.6105,
+        0.6025,
+        0.6305,
+        0.6195,
+        0.6255,
+        0.635,
+        0.6365,
+        0.636,
+        0.628,
+        0.64,
+        0.6165,
+        0.6255,
+        0.633,
+        0.641,
+        0.641,
+        0.65,
+        0.6545,
+        0.654,
+        0.66,
+        0.6605,
+        0.6605,
+        0.66,
+        0.6655,
+        0.66,
+        0.659,
+        0.6705,
+        0.668,
+        0.6625,
+        0.663,
+        0.667,
+        0.671,
+        0.674,
+        0.6765,
+        0.68,
+        0.6735,
+        0.677,
+        0.6735,
+        0.675,
+        0.6755,
+        0.6745,
+        0.6745,
+        0.675,
+        0.675
+      ],
+      "state_pred_error": [
+        0.6493651579856873,
+        0.29575768976211547,
+        0.23103001885414123,
+        0.2334385880947113,
+        0.23548452725410463,
+        0.19967564697265625,
+        0.18518944029808043,
+        0.16725214145183565,
+        0.1649368047952652,
+        0.16571793246269226,
+        0.17572792928218842,
+        0.1743344892501831,
+        0.15893575103282928,
+        0.14322838592529297,
+        0.13594432392120362,
+        0.14049444479942322,
+        0.14633379299640656,
+        0.13476813054084777,
+        0.11506632614135742,
+        0.09945053409337998,
+        0.0853865048646927,
+        0.07948669990301133,
+        0.07776896188259125,
+        0.07093840420246124,
+        0.0676786900997162,
+        0.07071898134946823,
+        0.0722231029510498,
+        0.06867871108055115,
+        0.06268749744296073,
+        0.05706663088798523,
+        0.05825891577005386,
+        0.0631956821680069,
+        0.06554845556020737,
+        0.06385076906085015,
+        0.059801281118392946,
+        0.056304640930891034,
+        0.051978501677513125,
+        0.0483906120300293,
+        0.04619176578521728,
+        0.04515855231881142,
+        0.043788279366493224,
+        0.042852709513902666,
+        0.04160206508040428,
+        0.04094642661809921,
+        0.03986684157252312,
+        0.03952786195278168,
+        0.03936737617254257,
+        0.04014009275436401,
+        0.04107310829758644,
+        0.04151235276460648,
+        0.04251271829605102,
+        0.042470853394269946,
+        0.04116504163742066,
+        0.039731386798620226,
+        0.03882245666384697,
+        0.03727775193452835,
+        0.035602553805708884,
+        0.03460706757307053,
+        0.03363208696842194,
+        0.0326178902387619,
+        0.03211134424805641,
+        0.03151855516433716,
+        0.03118992812037468,
+        0.030708241164684295,
+        0.029781148672103883,
+        0.02953700419664383,
+        0.028982311296463014,
+        0.028379172378778458,
+        0.02792458461225033,
+        0.027120157611370085,
+        0.026746750193834306,
+        0.0262485995978117,
+        0.025594802010059356,
+        0.02498560943007469,
+        0.024488566598296166,
+        0.02415746918618679,
+        0.023551164603233338,
+        0.023047770342230798,
+        0.02238947468996048,
+        0.02236259917318821
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.7431880235671997,
+        0.2796655595302582,
+        0.13151727616786957,
+        0.09881292283535004,
+        0.0924338698387146,
+        0.10159576684236526,
+        0.09764175117015839,
+        0.09642879664897919,
+        0.09804226458072662,
+        0.09603762626647949,
+        0.09261822700500488,
+        0.08885498344898224
+      ],
+      "perturbation_rho": [
+        0.611870527267456,
+        0.24307268857955933,
+        0.10120554268360138,
+        0.09459854662418365,
+        0.09521515667438507,
+        0.07265714555978775,
+        0.07570740580558777,
+        0.0650622695684433,
+        0.07738275825977325,
+        0.11346932500600815,
+        0.08958262950181961,
+        0.07643747329711914
+      ],
+      "nudging": {
+        "0.001": [
+          -0.022723916918039322,
+          -0.0008963837753981352,
+          -0.0003589537227526307,
+          -0.0002731546701397747,
+          -0.0002443054981995374,
+          -0.0002676681033335626,
+          -0.0002532715443521738,
+          -0.0002561286382842809,
+          -0.00026835669996216893,
+          -0.00025519070914015174,
+          -0.00024644829682074487,
+          -0.00023727267398498952
+        ],
+        "0.003": [
+          -0.06697431951761246,
+          -0.0026875482872128487,
+          -0.001076806103810668,
+          -0.0008197093848139048,
+          -0.0007331351516768336,
+          -0.0008034107740968466,
+          -0.0007598516531288624,
+          -0.000768211844842881,
+          -0.0008050791220739484,
+          -0.0007651542546227574,
+          -0.000739292532671243,
+          -0.0007121727103367448
+        ],
+        "0.01": [
+          -0.20912763476371765,
+          -0.00893338117748499,
+          -0.0035844063386321068,
+          -0.0027289288118481636,
+          -0.0024399380199611187,
+          -0.0026743747293949127,
+          -0.0025294050574302673,
+          -0.002557961270213127,
+          -0.0026802942156791687,
+          -0.002547960262745619,
+          -0.002460954710841179,
+          -0.0023713763803243637
+        ]
+      },
+      "state_pred_error_per_layer": [
+        20223.798828125,
+        14219.4013671875,
+        11048.2333984375,
+        10263.419921875,
+        8570.201171875,
+        7224.33740234375,
+        7281.2197265625,
+        8034.87548828125,
+        6686.9033203125,
+        6885.98291015625,
+        6667.048828125,
+        6627.78125
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.0764933771133425,
+        1.0333355437278748,
+        0.7067635051727295,
+        0.5858699575424194,
+        0.5356992348194123,
+        0.5212211735248565,
+        0.5239047775268555,
+        0.5818343393325806,
+        0.6053238994598389,
+        0.5796063490390777,
+        0.5091782062530518,
+        0.6705454446792602,
+        0.5421884929656983,
+        0.6353844381332397,
+        0.6657565035820008,
+        0.6767716047048569,
+        0.6167357039451599,
+        0.6938248710155487,
+        0.8726231457233429,
+        0.8884702047348022,
+        0.9432406356811524,
+        1.090025691795349,
+        0.968264564704895,
+        1.0746012533664704,
+        1.1493414950847625,
+        1.1367902378082275,
+        1.3055742527008056,
+        1.1653732303619384,
+        1.1293184537887573,
+        1.334260126066208,
+        1.2707585639953614,
+        1.4581013576507569,
+        1.4308010631561279,
+        1.285036499786377,
+        1.8279240913391113,
+        1.8119590299606323,
+        2.283292189025879,
+        1.6382048044204711,
+        1.4503440219879151,
+        1.7393564136505126,
+        1.6293182621002198,
+        1.4443016117095948,
+        1.2811944095611572,
+        1.21372008228302,
+        1.1024506355285644,
+        1.2282759926795959,
+        1.2983571229934692,
+        1.3142110950469972,
+        1.323133878517151,
+        1.3581235847473145,
+        1.2896308329582213,
+        1.284184308242798,
+        1.2349051277160645,
+        1.3431798957824708,
+        1.1847218454360962,
+        1.1301065828323364,
+        1.1214371286392213,
+        1.0846952264785767,
+        1.0839066341400148,
+        1.097983945274353,
+        1.0511162779808045,
+        1.0496550798416138,
+        1.0508357788085938,
+        1.0465448284626007,
+        1.0507531276702882,
+        1.0591266249656677,
+        1.0550554061889648,
+        1.0550357730865478,
+        1.0820843217849732,
+        1.0595227965354919,
+        1.065673966217041,
+        1.0613273656845092,
+        1.0590686019897462,
+        1.0599220966339111,
+        1.0588614574432373,
+        1.0581368492126464,
+        1.0541149351119996,
+        1.0519661378860474,
+        1.0514939740180969,
+        1.0511556272506715
+      ],
+      "train_acc": [
+        0.2452,
+        0.6221,
+        0.7343,
+        0.784,
+        0.801,
+        0.805,
+        0.8066,
+        0.7899,
+        0.7896,
+        0.8047,
+        0.8283,
+        0.7988,
+        0.8245,
+        0.8083,
+        0.8112,
+        0.8115,
+        0.8284,
+        0.8143,
+        0.7943,
+        0.7885,
+        0.7858,
+        0.7695,
+        0.7757,
+        0.7569,
+        0.7501,
+        0.7476,
+        0.7172,
+        0.7332,
+        0.7408,
+        0.7223,
+        0.7292,
+        0.694,
+        0.6746,
+        0.6863,
+        0.6085,
+        0.6042,
+        0.5516,
+        0.6079,
+        0.614,
+        0.5877,
+        0.5988,
+        0.6126,
+        0.6327,
+        0.648,
+        0.6703,
+        0.6493,
+        0.6395,
+        0.6404,
+        0.6402,
+        0.6375,
+        0.6505,
+        0.6503,
+        0.6588,
+        0.636,
+        0.6598,
+        0.6677,
+        0.6697,
+        0.6766,
+        0.6791,
+        0.6715,
+        0.6827,
+        0.6841,
+        0.6788,
+        0.6811,
+        0.6818,
+        0.6793,
+        0.6794,
+        0.6814,
+        0.6722,
+        0.6808,
+        0.6791,
+        0.6816,
+        0.6826,
+        0.681,
+        0.6824,
+        0.6812,
+        0.6834,
+        0.6838,
+        0.6841,
+        0.6839
+      ],
+      "test_acc": [
+        0.487,
+        0.667,
+        0.72,
+        0.7295,
+        0.754,
+        0.7085,
+        0.725,
+        0.7445,
+        0.7405,
+        0.743,
+        0.685,
+        0.7675,
+        0.7645,
+        0.73,
+        0.759,
+        0.7505,
+        0.731,
+        0.6945,
+        0.729,
+        0.7415,
+        0.6975,
+        0.7285,
+        0.7145,
+        0.712,
+        0.673,
+        0.6825,
+        0.635,
+        0.6405,
+        0.672,
+        0.654,
+        0.649,
+        0.5795,
+        0.682,
+        0.5525,
+        0.5845,
+        0.3575,
+        0.5085,
+        0.5355,
+        0.5015,
+        0.49,
+        0.5295,
+        0.5085,
+        0.585,
+        0.6325,
+        0.6295,
+        0.531,
+        0.5645,
+        0.58,
+        0.5825,
+        0.604,
+        0.6035,
+        0.608,
+        0.552,
+        0.579,
+        0.6445,
+        0.633,
+        0.643,
+        0.6575,
+        0.6475,
+        0.651,
+        0.664,
+        0.6545,
+        0.66,
+        0.6625,
+        0.663,
+        0.66,
+        0.663,
+        0.662,
+        0.6645,
+        0.6635,
+        0.663,
+        0.6685,
+        0.67,
+        0.6675,
+        0.6585,
+        0.667,
+        0.665,
+        0.666,
+        0.664,
+        0.6635
+      ],
+      "value_loss": [
+        2.8549158838272093,
+        1.161496125793457,
+        0.903598198890686,
+        0.7632983952522278,
+        0.6835939199686051,
+        0.6766883213043213,
+        0.7091717009544373,
+        0.9754714385986328,
+        1.08224688205719,
+        1.062293195784092,
+        0.9092092826843262,
+        1.4716599861145019,
+        1.038246541786194,
+        1.4234249837160111,
+        1.664121393585205,
+        1.6125931749343871,
+        1.4978518940925598,
+        1.7518914916992188,
+        2.72013060503006,
+        3.1416282855987547,
+        3.455105680847168,
+        4.676465829467773,
+        3.303184397125244,
+        3.646682159423828,
+        4.276524467420578,
+        4.3695808753967285,
+        5.563025414466858,
+        4.5929090194702145,
+        4.1187556289672855,
+        5.53759754114151,
+        6.174367126464844,
+        5.94762811126709,
+        4.872971316528321,
+        3.637530991744995,
+        5.705263479614258,
+        6.351236457061767,
+        8.093695210266114,
+        4.504659541511535,
+        2.6615619094848633,
+        5.09617506980896,
+        3.5259002746582033,
+        2.7192329330444336,
+        2.638924031639099,
+        1.6318247977256775,
+        1.3823803621292114,
+        1.951340493106842,
+        2.216556364059448,
+        2.1964007709503175,
+        2.5811822102546693,
+        2.1051325965881347,
+        1.8404160772800446,
+        1.9780693883895875,
+        1.718860918045044,
+        1.983682257080078,
+        1.9515350111961365,
+        1.2874729948043824,
+        1.3900933967590332,
+        1.2211145097732543,
+        1.3988167335510253,
+        1.2648169076919555,
+        1.1056289435863496,
+        0.9794681151866913,
+        1.0225543155670167,
+        1.0772494400978088,
+        0.9853854091644287,
+        0.9633722298145294,
+        0.9995410033226013,
+        1.0373240133285522,
+        1.104611580657959,
+        1.0151097399234772,
+        1.0281483087539673,
+        0.969052958202362,
+        0.9510830691337585,
+        0.9537978723526,
+        0.8950119636535645,
+        0.8671914636135102,
+        0.9178054649353027,
+        0.9064536457061767,
+        0.8821513331413269,
+        0.9863593735218048
+      ],
+      "term_loss": [
+        1.682755407524109,
+        0.9349195198059082,
+        0.7577797178268433,
+        0.6367232304573059,
+        0.5474753088951111,
+        0.5284061282157898,
+        0.5641642443656921,
+        0.8194823429107666,
+        0.9324796360015869,
+        0.912509532225132,
+        0.7826824951171875,
+        1.319875775718689,
+        0.9083852030277252,
+        1.281417071583867,
+        1.5178388681411743,
+        1.4628825843811035,
+        1.3601782407283782,
+        1.590202610015869,
+        2.46570823032856,
+        2.7377664497375487,
+        2.9881096405029295,
+        4.093345769119263,
+        2.8418840057373047,
+        3.1584136568069456,
+        3.727611806821823,
+        3.8350956407547,
+        4.957208102893829,
+        3.993870001220703,
+        3.628015086746216,
+        4.997284079122544,
+        5.491623828125,
+        5.350730059623718,
+        4.29666678314209,
+        3.107940061569214,
+        4.910516096496582,
+        5.609202164840698,
+        7.328441577911377,
+        3.92153433303833,
+        2.2080428680419923,
+        4.370297067832947,
+        3.0111737335205078,
+        2.2708549232959747,
+        2.1683303813934325,
+        1.2954999471187592,
+        1.0790472076416016,
+        1.5998526191234588,
+        1.8377661813259125,
+        1.8053871860504151,
+        2.1328504148960112,
+        1.717490065574646,
+        1.4750218168020248,
+        1.6484625193595885,
+        1.4090114224433898,
+        1.6390713775634767,
+        1.6058604949712754,
+        1.0051573803424836,
+        1.102199532008171,
+        0.9493986696243286,
+        1.0932330482721329,
+        0.9720278540134429,
+        0.8383463484048843,
+        0.7234356563329697,
+        0.7596620301246643,
+        0.8095307093143463,
+        0.7318540607452393,
+        0.7117131633043289,
+        0.7411717020988464,
+        0.76621328125,
+        0.8340190933227539,
+        0.7561145126342773,
+        0.7697270512580872,
+        0.7089268949508667,
+        0.6988980655670166,
+        0.7010336683273315,
+        0.6438103723526001,
+        0.6179502298414707,
+        0.6598036010742188,
+        0.6499435122966767,
+        0.626848087978363,
+        0.7168336891174316
+      ],
+      "bridge_loss": [
+        0.896014222253242,
+        0.04517395571172238,
+        0.006593965370953083,
+        0.0034440495952963827,
+        0.018616770416498184,
+        0.030837100231647492,
+        0.024734814091026784,
+        0.02389179002046585,
+        0.01787433380782604,
+        0.018077380554378034,
+        0.010488519954681396,
+        0.015156167778372765,
+        0.010538265505433082,
+        0.012908530953526497,
+        0.01322974010705948,
+        0.016209473606944084,
+        0.015149136707186699,
+        0.025635590088367462,
+        0.09975660238265992,
+        0.24363938935995103,
+        0.30326125044822694,
+        0.4093769493103027,
+        0.2900644659996033,
+        0.30407776420712473,
+        0.36139686872959137,
+        0.3478179151058197,
+        0.3997144910812378,
+        0.4011154135465622,
+        0.2988287874698639,
+        0.32996571643352507,
+        0.48100315761566165,
+        0.37056637697219846,
+        0.3436944869041443,
+        0.3004012752532959,
+        0.5041740354537964,
+        0.44999724850654604,
+        0.4296209671974182,
+        0.3023332357406616,
+        0.18253318367004395,
+        0.4315898947238922,
+        0.23118360629081727,
+        0.18129249473810197,
+        0.22337257357835769,
+        0.09488131734728814,
+        0.07875844204425812,
+        0.11123235714435577,
+        0.12893191225528716,
+        0.13899659600257874,
+        0.19428774079680441,
+        0.13162928407192231,
+        0.1163264914393425,
+        0.0801027453839779,
+        0.06760505118966102,
+        0.08564049925804139,
+        0.10703954181075095,
+        0.05367120292782784,
+        0.058458478817343715,
+        0.04750625167787075,
+        0.08299656238555908,
+        0.06785187515616417,
+        0.05007092701196671,
+        0.03860371837019921,
+        0.04493570284247398,
+        0.05130842483341694,
+        0.036386512249708174,
+        0.033535686874389646,
+        0.04093419628441334,
+        0.05317574837207794,
+        0.0473568382024765,
+        0.04034040171802044,
+        0.0394649936914444,
+        0.0410647492647171,
+        0.03395739138126373,
+        0.03392591526508331,
+        0.033935180634260174,
+        0.030197322559356688,
+        0.04014543912410736,
+        0.039191885554790494,
+        0.03813223616480827,
+        0.05245816183909774
+      ],
+      "tgrad_loss": [
+        0.27614626688957217,
+        0.1814026545524597,
+        0.13922452120780945,
+        0.12313111693859101,
+        0.11750183961391449,
+        0.1174450924873352,
+        0.12027264575958252,
+        0.13209730380773543,
+        0.13189289898872375,
+        0.13170627192556858,
+        0.1160382707118988,
+        0.13662804961204528,
+        0.11932307603359223,
+        0.12909939237833024,
+        0.13305279737710954,
+        0.1335011120378971,
+        0.12252451281547547,
+        0.13605329816937448,
+        0.15466575002670288,
+        0.16022245128154755,
+        0.16373479413986206,
+        0.1737431848526001,
+        0.17123591811656952,
+        0.18419077730178832,
+        0.18751578764915466,
+        0.18666732320785523,
+        0.2061028514146805,
+        0.19792364330291748,
+        0.19191175360679627,
+        0.21034778068065643,
+        0.20174010210037233,
+        0.22633177161216736,
+        0.23261008365154268,
+        0.2291896457672119,
+        0.2905733513832092,
+        0.29203712682724,
+        0.33563268880844116,
+        0.2807919749736786,
+        0.27098584852218627,
+        0.29428816595077517,
+        0.2835429540157318,
+        0.2670855068206787,
+        0.24722108142375945,
+        0.24144353773593902,
+        0.22457472248077393,
+        0.24025552184581755,
+        0.24985827751159667,
+        0.2520169780254364,
+        0.2540440467596054,
+        0.2560132534980774,
+        0.2490677748680115,
+        0.24950413098335267,
+        0.24224443774223328,
+        0.258970384645462,
+        0.2386349895954132,
+        0.22864441821575165,
+        0.22943539001941682,
+        0.224209578537941,
+        0.22258712384700774,
+        0.2249371839284897,
+        0.21721167531013488,
+        0.21742874386310576,
+        0.21795658111572266,
+        0.21641030756235122,
+        0.21714482364654542,
+        0.2181233823299408,
+        0.21743510699272156,
+        0.21793499126434326,
+        0.22323566336631775,
+        0.2186548171043396,
+        0.21895627632141113,
+        0.2190613217353821,
+        0.21822762320041655,
+        0.21883828949928283,
+        0.21726641387939452,
+        0.21904391651153565,
+        0.2178564251422882,
+        0.21731825175285338,
+        0.2171710154533386,
+        0.21706753172874452
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        9.498395957052708e-05,
+        0.029415149241685867,
+        0.062070880085229874,
+        0.07393385469913483,
+        0.07970248907804489,
+        0.08624569326639175,
+        0.10002343356609344,
+        0.10488344728946686,
+        0.10920242965221405,
+        0.10451158881187439,
+        0.09929930418729782,
+        0.09505851566791534
+      ],
+      "perturbation_rho": [
+        0.025425152853131294,
+        0.0574759915471077,
+        0.13417154550552368,
+        0.10034967213869095,
+        0.17468321323394775,
+        0.17164339125156403,
+        0.15925100445747375,
+        0.08668951690196991,
+        0.1521437168121338,
+        0.14672580361366272,
+        0.1825145184993744,
+        0.12463894486427307
+      ],
+      "nudging": {
+        "0.001": [
+          9.352347115054727e-05,
+          -0.0002647446817718446,
+          -0.00047820506733842194,
+          -0.0005149872158654034,
+          -0.0005640805466100574,
+          -0.0006015360122546554,
+          -0.0006438379641622305,
+          -0.0006649883580394089,
+          -0.0007019470212981105,
+          -0.0006623220397159457,
+          -0.0006254295585677028,
+          -0.0006009879289194942
+        ],
+        "0.003": [
+          0.0003153950092382729,
+          -0.0007944293902255595,
+          -0.0014327235985547304,
+          -0.0015408566687256098,
+          -0.0016878837486729026,
+          -0.0018035313114523888,
+          -0.0019295630045235157,
+          -0.0019936237949877977,
+          -0.0020997454412281513,
+          -0.0019858325831592083,
+          -0.001876077032648027,
+          -0.0018000612035393715
+        ],
+        "0.01": [
+          0.001420565415173769,
+          -0.0026360084302723408,
+          -0.00476992130279541,
+          -0.005131378769874573,
+          -0.005615689791738987,
+          -0.006001932080835104,
+          -0.006417973432689905,
+          -0.006630052346736193,
+          -0.006984136067330837,
+          -0.0066003259271383286,
+          -0.00623705331236124,
+          -0.005985542666167021
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L12_s456.json b/results/synth_ladder_v2_lo/synth_a0.0_L12_s456.json
new file mode 100644
index 0000000..1368dc3
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L12_s456.json
@@ -0,0 +1,1722 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        0.969122644329071,
+        0.5920969530105591,
+        0.4555384733200073,
+        0.42013895292282105,
+        0.3577242928504944,
+        0.37090972731113436,
+        0.3204999417304993,
+        0.3792783494949341,
+        0.3393013801574707,
+        0.3097765709400177,
+        0.33500295226573945,
+        0.2910071131706238,
+        0.29785395264625547,
+        0.283798801279068,
+        0.2583663343429565,
+        0.27849551072120665,
+        0.2531052485704422,
+        0.23891032192707062,
+        0.2196098397731781,
+        0.2663255609512329,
+        0.260848161315918,
+        0.2927300401687622,
+        0.30502517681121827,
+        0.2855231747150421,
+        0.21818343462944031,
+        0.19386887674331665,
+        0.2458417517900467,
+        0.19182274364233018,
+        0.17297324039936066,
+        0.19739589419364928,
+        0.1834898106098175,
+        0.1994040518283844,
+        0.20876692607402803,
+        0.15818328301906587,
+        0.1655046018600464,
+        0.18371486501693726,
+        0.18603038516044618,
+        0.16989948571324348,
+        0.14640453379154206,
+        0.16136881852149965,
+        0.18090535459518434,
+        0.16096133246421815,
+        0.17648028812408448,
+        0.19660544855594636,
+        0.1483273560643196,
+        0.1228380591392517,
+        0.139758788728714,
+        0.1273645007133484,
+        0.1370752555370331,
+        0.1313122305870056,
+        0.12541208545863627,
+        0.10699837379455567,
+        0.11257837036848069,
+        0.10080176743865013,
+        0.0961822389125824,
+        0.10998678052425384,
+        0.10155456811189652,
+        0.09173920025825501,
+        0.09425398440361023,
+        0.0889471257686615,
+        0.08973454808592796,
+        0.08506661486625672,
+        0.0839197184562683,
+        0.08141958972215653,
+        0.081237429189682,
+        0.08236398327350616,
+        0.0800594212770462,
+        0.07829977524876594,
+        0.0759517749786377,
+        0.0762132091999054,
+        0.0748500356912613,
+        0.07403571516871452,
+        0.07296141183376312,
+        0.07267795407772064,
+        0.07197105139493942,
+        0.07171081202030181,
+        0.07135244336128235,
+        0.07104146628379822,
+        0.0708903494656086,
+        0.07079571675658226
+      ],
+      "train_acc": [
+        0.6424,
+        0.7776,
+        0.8193,
+        0.8339,
+        0.8565,
+        0.8537,
+        0.8696,
+        0.852,
+        0.863,
+        0.8761,
+        0.8654,
+        0.8834,
+        0.8805,
+        0.8895,
+        0.8965,
+        0.8924,
+        0.9028,
+        0.9009,
+        0.9098,
+        0.902,
+        0.8968,
+        0.8843,
+        0.8793,
+        0.8855,
+        0.9128,
+        0.9232,
+        0.9032,
+        0.9231,
+        0.9326,
+        0.9229,
+        0.9256,
+        0.9166,
+        0.9155,
+        0.9371,
+        0.9368,
+        0.9301,
+        0.9236,
+        0.9306,
+        0.9446,
+        0.9353,
+        0.9262,
+        0.9369,
+        0.9296,
+        0.9221,
+        0.9433,
+        0.9533,
+        0.945,
+        0.9519,
+        0.9451,
+        0.948,
+        0.9534,
+        0.9643,
+        0.9598,
+        0.9675,
+        0.9698,
+        0.9634,
+        0.9653,
+        0.9733,
+        0.9713,
+        0.9731,
+        0.9744,
+        0.9758,
+        0.9773,
+        0.9788,
+        0.9798,
+        0.9776,
+        0.9795,
+        0.9801,
+        0.9815,
+        0.9821,
+        0.9825,
+        0.9839,
+        0.9848,
+        0.9837,
+        0.9844,
+        0.9846,
+        0.9847,
+        0.9852,
+        0.9852,
+        0.9853
+      ],
+      "test_acc": [
+        0.775,
+        0.7965,
+        0.823,
+        0.8375,
+        0.838,
+        0.838,
+        0.8475,
+        0.84,
+        0.8545,
+        0.858,
+        0.847,
+        0.866,
+        0.873,
+        0.8685,
+        0.868,
+        0.8605,
+        0.866,
+        0.871,
+        0.8765,
+        0.8585,
+        0.8675,
+        0.862,
+        0.868,
+        0.8685,
+        0.879,
+        0.886,
+        0.8755,
+        0.8865,
+        0.8925,
+        0.8825,
+        0.879,
+        0.896,
+        0.884,
+        0.8835,
+        0.886,
+        0.895,
+        0.8825,
+        0.893,
+        0.8905,
+        0.8975,
+        0.896,
+        0.8955,
+        0.8845,
+        0.8825,
+        0.901,
+        0.896,
+        0.902,
+        0.9055,
+        0.906,
+        0.8995,
+        0.908,
+        0.907,
+        0.907,
+        0.908,
+        0.9025,
+        0.9005,
+        0.905,
+        0.9005,
+        0.909,
+        0.9025,
+        0.9055,
+        0.913,
+        0.908,
+        0.91,
+        0.911,
+        0.911,
+        0.9125,
+        0.9125,
+        0.9115,
+        0.9125,
+        0.912,
+        0.9115,
+        0.91,
+        0.9085,
+        0.91,
+        0.911,
+        0.9115,
+        0.9115,
+        0.9115,
+        0.9115
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.841245174407959,
+        0.830803632736206,
+        0.8195754885673523,
+        0.8066799640655518,
+        0.7983194589614868,
+        0.7908304929733276,
+        0.7860588431358337,
+        0.7811387777328491,
+        0.7771316170692444,
+        0.7744728326797485,
+        0.7727954983711243,
+        0.7717056274414062
+      ],
+      "perturbation_rho": [
+        0.9999991059303284,
+        0.9999973177909851,
+        0.9999889731407166,
+        0.9999734163284302,
+        0.9999427795410156,
+        0.9998763799667358,
+        0.9998629093170166,
+        0.9998323321342468,
+        0.9997599720954895,
+        0.9997479319572449,
+        0.9997410774230957,
+        0.9997145533561707
+      ],
+      "nudging": {
+        "0.001": [
+          -0.024454854428768158,
+          -0.011305858381092548,
+          -0.00559408962726593,
+          -0.0032756051514297724,
+          -0.0022792830131947994,
+          -0.001779809594154358,
+          -0.0014915994834154844,
+          -0.0013089049607515335,
+          -0.0011874620104208589,
+          -0.0011061741970479488,
+          -0.00105283223092556,
+          -0.0010198504896834493
+        ],
+        "0.003": [
+          -0.06566837430000305,
+          -0.03229808062314987,
+          -0.016386456787586212,
+          -0.00969094317406416,
+          -0.0067720417864620686,
+          -0.0052991146221756935,
+          -0.004446372855454683,
+          -0.0039047286845743656,
+          -0.0035444353707134724,
+          -0.0033029273618012667,
+          -0.003144192509353161,
+          -0.003046202240511775
+        ],
+        "0.01": [
+          -0.1470111906528473,
+          -0.09042022377252579,
+          -0.050197783857584,
+          -0.030754856765270233,
+          -0.021816428750753403,
+          -0.017199307680130005,
+          -0.014493460766971111,
+          -0.012762569822371006,
+          -0.01160583458840847,
+          -0.010828070342540741,
+          -0.010316012427210808,
+          -0.00999932736158371
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.0898007585525513,
+        1.1015719889640807,
+        0.7905141721725464,
+        0.6718451899528504,
+        0.6203681846618653,
+        0.6325145021438598,
+        0.6236261308193207,
+        0.6393312355041504,
+        0.6374612313747406,
+        0.6430461730480194,
+        0.5502225688934326,
+        0.8417456014633179,
+        0.7175684427261353,
+        1.0312082330226897,
+        0.8398658451080322,
+        0.8481408470153808,
+        0.6183168939113617,
+        0.937887061214447,
+        0.8483327810287475,
+        1.0181842102050782,
+        0.7333554124832153,
+        1.3151530385017396,
+        1.102606842803955,
+        0.8690633714675904,
+        0.9178138070106506,
+        1.0159898044586182,
+        3.232203116989136,
+        1.3720880279541015,
+        0.6449793176651001,
+        0.8210637205123902,
+        0.9120081573486328,
+        1.1590281297683716,
+        0.855452324104309,
+        0.7272457509994507,
+        0.8923147548675537,
+        0.7562281994819641,
+        0.680691127204895,
+        0.6434698450565338,
+        0.723854674911499,
+        0.8917708801269532,
+        0.703606390953064,
+        0.6779194925308227,
+        0.6525233362197876,
+        1.1295996128082275,
+        0.8972809474945068,
+        0.5784100801467895,
+        0.6937777447223663,
+        0.7719525880813599,
+        0.6017424495697021,
+        0.7032140111923217,
+        0.515312993812561,
+        0.5384840083122253,
+        0.5088662053585052,
+        0.4816106027841568,
+        0.5108573516845704,
+        0.5119831256866455,
+        0.6042850525379181,
+        0.4791012176513672,
+        0.5760747453689575,
+        0.45199957361221316,
+        0.395004202580452,
+        0.43196895809173586,
+        0.4245094624042511,
+        0.3937124969959259,
+        0.4062374726772308,
+        0.38945438613891603,
+        0.3935444291114807,
+        0.37236739473342895,
+        0.4024800674438477,
+        0.37810999517440796,
+        0.3714436505317688,
+        0.35974656147956846,
+        0.36245792179107666,
+        0.35358601045608523,
+        0.3556142600655556,
+        0.34317912871837614,
+        0.34346320304870603,
+        0.3412538662314415,
+        0.33999497032165527,
+        0.3392112380981445
+      ],
+      "train_acc": [
+        0.242,
+        0.6061,
+        0.7059,
+        0.7544,
+        0.7711,
+        0.7653,
+        0.7685,
+        0.7636,
+        0.7644,
+        0.7713,
+        0.7934,
+        0.7077,
+        0.7412,
+        0.6984,
+        0.7215,
+        0.7161,
+        0.7733,
+        0.7014,
+        0.7168,
+        0.6967,
+        0.7423,
+        0.6917,
+        0.712,
+        0.7198,
+        0.707,
+        0.6952,
+        0.5487,
+        0.6802,
+        0.7747,
+        0.7323,
+        0.7125,
+        0.6785,
+        0.7421,
+        0.7598,
+        0.7335,
+        0.7576,
+        0.768,
+        0.7791,
+        0.7621,
+        0.7386,
+        0.7683,
+        0.7724,
+        0.7795,
+        0.7106,
+        0.7384,
+        0.8012,
+        0.7775,
+        0.7554,
+        0.7943,
+        0.784,
+        0.8146,
+        0.8054,
+        0.8234,
+        0.8261,
+        0.8169,
+        0.8192,
+        0.8006,
+        0.8264,
+        0.8009,
+        0.8317,
+        0.8518,
+        0.8421,
+        0.8454,
+        0.8499,
+        0.8472,
+        0.8525,
+        0.8469,
+        0.8542,
+        0.8459,
+        0.8574,
+        0.856,
+        0.8652,
+        0.8609,
+        0.8635,
+        0.865,
+        0.866,
+        0.8665,
+        0.8678,
+        0.868,
+        0.8685
+      ],
+      "test_acc": [
+        0.478,
+        0.66,
+        0.7125,
+        0.665,
+        0.634,
+        0.693,
+        0.689,
+        0.642,
+        0.584,
+        0.708,
+        0.656,
+        0.6605,
+        0.559,
+        0.6505,
+        0.606,
+        0.6635,
+        0.566,
+        0.6175,
+        0.478,
+        0.6495,
+        0.433,
+        0.5855,
+        0.5385,
+        0.645,
+        0.6835,
+        0.401,
+        0.5985,
+        0.6675,
+        0.6025,
+        0.6285,
+        0.5105,
+        0.565,
+        0.662,
+        0.6695,
+        0.6665,
+        0.648,
+        0.6885,
+        0.667,
+        0.4995,
+        0.671,
+        0.7005,
+        0.621,
+        0.6685,
+        0.6735,
+        0.6925,
+        0.662,
+        0.6445,
+        0.696,
+        0.6395,
+        0.7555,
+        0.687,
+        0.7115,
+        0.7375,
+        0.7585,
+        0.742,
+        0.695,
+        0.7735,
+        0.719,
+        0.735,
+        0.792,
+        0.7645,
+        0.752,
+        0.801,
+        0.768,
+        0.7955,
+        0.784,
+        0.8105,
+        0.7885,
+        0.808,
+        0.817,
+        0.809,
+        0.8145,
+        0.822,
+        0.82,
+        0.8185,
+        0.817,
+        0.824,
+        0.8255,
+        0.827,
+        0.8275
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.0384417325258255,
+        0.27492010593414307,
+        0.17608770728111267,
+        0.12729278206825256,
+        0.09575799107551575,
+        0.13158489763736725,
+        0.07343505322933197,
+        0.08012130856513977,
+        0.08938327431678772,
+        0.09414967149496078,
+        0.06517850607633591,
+        0.07253237068653107
+      ],
+      "perturbation_rho": [
+        -0.00336202559992671,
+        0.18004602193832397,
+        0.18598641455173492,
+        0.15388232469558716,
+        0.058810293674468994,
+        0.14123386144638062,
+        0.05320374667644501,
+        0.10196533054113388,
+        0.09802494943141937,
+        0.10918877273797989,
+        0.09344048798084259,
+        0.0655277818441391
+      ],
+      "nudging": {
+        "0.001": [
+          -0.001064171316102147,
+          -0.0006666459375992417,
+          -0.0004184156423434615,
+          -0.000315168930683285,
+          -0.00022096859174780548,
+          -0.0002887723676394671,
+          -0.00016212352784350514,
+          -0.00017708796076476574,
+          -0.00021025452588219196,
+          -0.00024805153952911496,
+          -0.00015850270574446768,
+          -0.00017888075672090054
+        ],
+        "0.003": [
+          -0.0031536915339529514,
+          -0.0019956310279667377,
+          -0.00125154631678015,
+          -0.000938912620767951,
+          -0.0006729550659656525,
+          -0.0008644282352179289,
+          -0.0004864725051447749,
+          -0.0005231637042015791,
+          -0.0006273322505876422,
+          -0.0007397128501906991,
+          -0.0004687863402068615,
+          -0.0005287445383146405
+        ],
+        "0.01": [
+          -0.010087584145367146,
+          -0.006617182400077581,
+          -0.004152917303144932,
+          -0.0031182561069726944,
+          -0.0022262579295784235,
+          -0.0028664623387157917,
+          -0.0016081882640719414,
+          -0.0017378728371113539,
+          -0.0020772137213498354,
+          -0.002457245485857129,
+          -0.0015545324422419071,
+          -0.0017554720398038626
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.9577019836425782,
+        1.367190316581726,
+        1.1470114725112914,
+        1.0665275047302245,
+        1.1731505100250244,
+        1.2525334920883178,
+        1.3311169979095459,
+        1.5198530440330504,
+        1.3418273334503175,
+        1.3490344924926758,
+        1.3042446374893188,
+        1.2384788623809815,
+        1.2332912294387817,
+        1.216872233581543,
+        1.2361593342781068,
+        1.1900994968414307,
+        1.220567015838623,
+        1.2757856309890747,
+        1.2281171096801757,
+        1.161736725616455,
+        1.1808231119155883,
+        1.1178058204650878,
+        1.1057362071037293,
+        1.185501344013214,
+        1.136134003829956,
+        1.1250077436447143,
+        1.098593546295166,
+        1.1006900829315185,
+        1.092524215221405,
+        1.0361322803497315,
+        1.0446809569358826,
+        1.0481329538345336,
+        1.053780317878723,
+        1.0705591835021973,
+        1.1286329881668091,
+        1.1078846117973327,
+        1.1074383437156676,
+        1.083875510597229,
+        1.054987931394577,
+        1.042312901210785,
+        1.0332075857162475,
+        1.0004530704498291,
+        0.9915621906280517,
+        0.9539300963401794,
+        0.9578770606994629,
+        0.9117126565933228,
+        0.8960798753738404,
+        0.8623609913825989,
+        0.8706058340072632,
+        0.8639619729995728,
+        0.8503742446899414,
+        0.8467240323066711,
+        0.8390994773864746,
+        0.8202853441238404,
+        0.820123230457306,
+        0.8141281935691833,
+        0.792419764328003,
+        0.7936320905208588,
+        0.7901265294551849,
+        0.7891995994567871,
+        0.7945449181556702,
+        0.7905005366325378,
+        0.7813621898651123,
+        0.7853380561828613,
+        0.7846485383987427,
+        0.7863743240356446,
+        0.7899072016716003,
+        0.7869116140365601,
+        0.7873675743103027,
+        0.7921814329147339,
+        0.7928447710990906,
+        0.7956968950271607,
+        0.7953850835800171,
+        0.7970634747505188,
+        0.7977744478225708,
+        0.7989712644577026,
+        0.7980876712799072,
+        0.7980577057838439,
+        0.797688978767395,
+        0.797543062210083
+      ],
+      "train_acc": [
+        0.3543,
+        0.5319,
+        0.5908,
+        0.6146,
+        0.592,
+        0.578,
+        0.5808,
+        0.5464,
+        0.5774,
+        0.5876,
+        0.5817,
+        0.5923,
+        0.5941,
+        0.5988,
+        0.608,
+        0.6113,
+        0.61,
+        0.6043,
+        0.6128,
+        0.6209,
+        0.6127,
+        0.6245,
+        0.6261,
+        0.6088,
+        0.6229,
+        0.6272,
+        0.6305,
+        0.6276,
+        0.6363,
+        0.6424,
+        0.6415,
+        0.6418,
+        0.6443,
+        0.6398,
+        0.6277,
+        0.6338,
+        0.6352,
+        0.6373,
+        0.6486,
+        0.651,
+        0.6508,
+        0.6554,
+        0.6575,
+        0.6666,
+        0.6627,
+        0.6796,
+        0.6857,
+        0.6914,
+        0.6914,
+        0.6926,
+        0.7,
+        0.7,
+        0.6987,
+        0.7024,
+        0.7016,
+        0.7041,
+        0.7115,
+        0.7135,
+        0.7104,
+        0.7115,
+        0.7099,
+        0.715,
+        0.7162,
+        0.7163,
+        0.7166,
+        0.7173,
+        0.7123,
+        0.7213,
+        0.7146,
+        0.7148,
+        0.718,
+        0.7155,
+        0.714,
+        0.7128,
+        0.7152,
+        0.7148,
+        0.7146,
+        0.7138,
+        0.7152,
+        0.7153
+      ],
+      "test_acc": [
+        0.495,
+        0.5595,
+        0.5795,
+        0.574,
+        0.5465,
+        0.5705,
+        0.5295,
+        0.532,
+        0.5555,
+        0.541,
+        0.5535,
+        0.5705,
+        0.558,
+        0.581,
+        0.5955,
+        0.582,
+        0.57,
+        0.5665,
+        0.572,
+        0.5885,
+        0.576,
+        0.586,
+        0.552,
+        0.5675,
+        0.5705,
+        0.59,
+        0.5705,
+        0.5785,
+        0.6125,
+        0.607,
+        0.6175,
+        0.632,
+        0.598,
+        0.6025,
+        0.5915,
+        0.6025,
+        0.6125,
+        0.6225,
+        0.641,
+        0.617,
+        0.6225,
+        0.623,
+        0.6415,
+        0.631,
+        0.641,
+        0.646,
+        0.6585,
+        0.643,
+        0.665,
+        0.6675,
+        0.659,
+        0.6665,
+        0.6545,
+        0.679,
+        0.671,
+        0.683,
+        0.676,
+        0.6775,
+        0.6935,
+        0.6895,
+        0.698,
+        0.698,
+        0.684,
+        0.69,
+        0.6835,
+        0.69,
+        0.6935,
+        0.6845,
+        0.6865,
+        0.6905,
+        0.6845,
+        0.685,
+        0.688,
+        0.6855,
+        0.6825,
+        0.685,
+        0.683,
+        0.683,
+        0.6835,
+        0.684
+      ],
+      "state_pred_error": [
+        0.6557525987625122,
+        0.2581627747535706,
+        0.2180150511264801,
+        0.19771510035991668,
+        0.17691524381637574,
+        0.21782165381908417,
+        0.19984715962409974,
+        0.20151861963272094,
+        0.22002407603263854,
+        0.22233803098201751,
+        0.1950549049139023,
+        0.18242949080467225,
+        0.1731606459379196,
+        0.16580520544052124,
+        0.15936565225124358,
+        0.15244879407882692,
+        0.1435310169696808,
+        0.1339448815703392,
+        0.12139209755659103,
+        0.10519540898799896,
+        0.09373599338531494,
+        0.08733212774991989,
+        0.08062151061296463,
+        0.07534996691942215,
+        0.07384048416614533,
+        0.07770671141147613,
+        0.07913587466478347,
+        0.07108985353708268,
+        0.06537577290534974,
+        0.06072714284658432,
+        0.05709798917174339,
+        0.057688245034217836,
+        0.05891312641501427,
+        0.061041689145565035,
+        0.059126829808950426,
+        0.05346322001814842,
+        0.052376105165481565,
+        0.05078197082877159,
+        0.04823381187915802,
+        0.045614832776784894,
+        0.043012580084800724,
+        0.03774388888478279,
+        0.032903633427619934,
+        0.028299692285060882,
+        0.02640610886514187,
+        0.027187307637929918,
+        0.028776719480752944,
+        0.030680300956964494,
+        0.03148365080356598,
+        0.03091398191154003,
+        0.029518017873167993,
+        0.026383623799681663,
+        0.02372063409090042,
+        0.02179983432292938,
+        0.02020930643975735,
+        0.01886237643659115,
+        0.018010195726156236,
+        0.017387488079071044,
+        0.016838955014944076,
+        0.016470046550035478,
+        0.01637252227962017,
+        0.01600538874566555,
+        0.015849738636612893,
+        0.015769525337219238,
+        0.01577099280208349,
+        0.015590812629461288,
+        0.015244143217802047,
+        0.015246101871132851,
+        0.0149916733071208,
+        0.01488443463742733,
+        0.014857900011539459,
+        0.014476912885904311,
+        0.014302368466556073,
+        0.013730039289593697,
+        0.01368503429889679,
+        0.013323678565025329,
+        0.013020070712268352,
+        0.012987913605570793,
+        0.012227315375208854,
+        0.012032101236283779
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.7363088726997375,
+        0.32443851232528687,
+        0.21702790260314941,
+        0.21007081866264343,
+        0.16975754499435425,
+        0.1722516119480133,
+        0.16474759578704834,
+        0.12138545513153076,
+        0.1178494393825531,
+        0.13036376237869263,
+        0.11493153870105743,
+        0.1162962019443512
+      ],
+      "perturbation_rho": [
+        0.6429969072341919,
+        0.2531689405441284,
+        0.22036504745483398,
+        0.17542049288749695,
+        0.15819020569324493,
+        0.14438438415527344,
+        0.07042165100574493,
+        0.11963094770908356,
+        0.1070300042629242,
+        0.07622774690389633,
+        0.035559043288230896,
+        0.045592159032821655
+      ],
+      "nudging": {
+        "0.001": [
+          -0.01886601373553276,
+          -0.0009471861412748694,
+          -0.0005426729912869632,
+          -0.0005197790451347828,
+          -0.00040702728438191116,
+          -0.00039994364487938583,
+          -0.0003908725338988006,
+          -0.0003088848025072366,
+          -0.0002972484799101949,
+          -0.00033751194132491946,
+          -0.0002799705835059285,
+          -0.00027640321059152484
+        ],
+        "0.003": [
+          -0.05549539998173714,
+          -0.002838960848748684,
+          -0.0016271104104816914,
+          -0.0015591384144499898,
+          -0.001220998470671475,
+          -0.0011997417313978076,
+          -0.0011723506031557918,
+          -0.0009265473927371204,
+          -0.000891170755494386,
+          -0.0010123227257281542,
+          -0.0008400253136642277,
+          -0.0008296556770801544
+        ],
+        "0.01": [
+          -0.1725819855928421,
+          -0.009430286474525928,
+          -0.0054127369076013565,
+          -0.005186344031244516,
+          -0.004062540829181671,
+          -0.0039931111969053745,
+          -0.003901706077158451,
+          -0.003083862829953432,
+          -0.002966922242194414,
+          -0.0033692335709929466,
+          -0.002796228276565671,
+          -0.002761534880846739
+        ]
+      },
+      "state_pred_error_per_layer": [
+        8107.484375,
+        6015.64697265625,
+        3272.651123046875,
+        3025.219970703125,
+        3498.379150390625,
+        2962.442626953125,
+        2732.457275390625,
+        3394.069091796875,
+        3050.444091796875,
+        3397.53271484375,
+        3068.22607421875,
+        3145.807373046875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.092706339263916,
+        1.0952877737998963,
+        0.7729337105751037,
+        0.6789219863891601,
+        0.6241036960601807,
+        0.6100845262527466,
+        0.594813515996933,
+        0.7195955331802368,
+        0.6677259072303772,
+        0.6198010721206665,
+        0.6374922561645507,
+        0.7701140362739562,
+        0.69171789560318,
+        0.708719236278534,
+        0.6036844366073608,
+        0.8205160137176514,
+        0.9806505244255066,
+        0.7954677212715149,
+        0.7861951595306397,
+        0.823767824935913,
+        0.6428154012203217,
+        0.7191776779174804,
+        0.8116244506835938,
+        0.753524228477478,
+        0.8249499505996704,
+        0.7682834581375122,
+        0.7208644798278808,
+        0.759485391998291,
+        1.042400759124756,
+        1.547001088142395,
+        1.1331607871055602,
+        1.0703241619110107,
+        0.8603198796749115,
+        0.8971985034942627,
+        1.0760511143684388,
+        1.152393785381317,
+        1.4280963862895966,
+        1.5006843608856202,
+        1.3100523867607117,
+        1.1282628120422362,
+        1.2173214994430541,
+        1.0435792781829833,
+        1.2676011086463927,
+        1.2351581176757813,
+        1.246204901123047,
+        1.2180886367797852,
+        1.3540986360549927,
+        1.219435647392273,
+        1.2538528778076172,
+        1.1500556253433227,
+        1.055687839126587,
+        1.1929910972595215,
+        1.3931519176483154,
+        1.4715053829193114,
+        1.6093412540435792,
+        1.7281322120666505,
+        1.7611547931671143,
+        1.7229496166229248,
+        1.5543313556671143,
+        1.409035835647583,
+        1.281838191986084,
+        1.210691173553467,
+        1.1457153511047364,
+        1.1038917953491212,
+        1.1368809636592865,
+        1.0750537950515746,
+        1.078484614944458,
+        1.0653290471553802,
+        1.043406178855896,
+        1.029171966934204,
+        1.0249553047180175,
+        1.0062125328063964,
+        0.9868852173805237,
+        0.980598240661621,
+        0.9800201850891114,
+        0.9732961756706238,
+        0.9715418921470642,
+        0.9726413438796997,
+        0.9694333058834076,
+        0.9690543773651124
+      ],
+      "train_acc": [
+        0.2472,
+        0.6098,
+        0.7158,
+        0.7471,
+        0.7633,
+        0.775,
+        0.7733,
+        0.7387,
+        0.7635,
+        0.765,
+        0.7685,
+        0.7314,
+        0.7553,
+        0.7495,
+        0.7784,
+        0.7204,
+        0.6933,
+        0.7259,
+        0.7279,
+        0.7282,
+        0.7687,
+        0.7487,
+        0.7313,
+        0.7414,
+        0.7313,
+        0.7547,
+        0.7595,
+        0.7644,
+        0.7269,
+        0.6914,
+        0.7377,
+        0.7329,
+        0.7555,
+        0.7575,
+        0.7373,
+        0.7285,
+        0.7163,
+        0.6928,
+        0.7033,
+        0.7168,
+        0.6899,
+        0.7089,
+        0.6715,
+        0.6694,
+        0.6696,
+        0.6666,
+        0.649,
+        0.6656,
+        0.6545,
+        0.6709,
+        0.686,
+        0.6767,
+        0.648,
+        0.6469,
+        0.6339,
+        0.6281,
+        0.6347,
+        0.6376,
+        0.6473,
+        0.6607,
+        0.669,
+        0.6811,
+        0.6873,
+        0.6898,
+        0.6811,
+        0.6921,
+        0.6948,
+        0.6904,
+        0.6949,
+        0.695,
+        0.6913,
+        0.6975,
+        0.7004,
+        0.6993,
+        0.6993,
+        0.7,
+        0.6991,
+        0.6994,
+        0.7022,
+        0.7017
+      ],
+      "test_acc": [
+        0.49,
+        0.659,
+        0.701,
+        0.7205,
+        0.721,
+        0.6975,
+        0.708,
+        0.6605,
+        0.7245,
+        0.6645,
+        0.6145,
+        0.6515,
+        0.5925,
+        0.6665,
+        0.561,
+        0.472,
+        0.637,
+        0.66,
+        0.5885,
+        0.6525,
+        0.657,
+        0.521,
+        0.5985,
+        0.5795,
+        0.6475,
+        0.669,
+        0.6665,
+        0.5875,
+        0.6335,
+        0.7045,
+        0.633,
+        0.6845,
+        0.6295,
+        0.6315,
+        0.7015,
+        0.6905,
+        0.5995,
+        0.6185,
+        0.6335,
+        0.585,
+        0.652,
+        0.513,
+        0.5615,
+        0.5745,
+        0.5725,
+        0.555,
+        0.613,
+        0.5315,
+        0.6245,
+        0.6495,
+        0.6425,
+        0.6055,
+        0.611,
+        0.637,
+        0.582,
+        0.582,
+        0.587,
+        0.614,
+        0.6315,
+        0.631,
+        0.6295,
+        0.644,
+        0.6635,
+        0.634,
+        0.664,
+        0.656,
+        0.664,
+        0.665,
+        0.664,
+        0.661,
+        0.6635,
+        0.664,
+        0.6665,
+        0.671,
+        0.671,
+        0.6655,
+        0.6635,
+        0.6695,
+        0.6685,
+        0.669
+      ],
+      "value_loss": [
+        2.756714974594116,
+        1.0699842605590821,
+        0.772724876499176,
+        0.7186811010360717,
+        0.7039346227645874,
+        0.7089841152191162,
+        0.7045547727584839,
+        1.0278774134635926,
+        1.0351098167419435,
+        0.79849758310318,
+        0.8763475816726685,
+        1.2047807735443115,
+        1.027970889377594,
+        1.0575392370224,
+        0.7888917721748352,
+        1.2805246074676513,
+        2.225238763809204,
+        1.0823904124736785,
+        1.1905035690307617,
+        1.642304021835327,
+        0.9129455471992493,
+        1.2949172660827637,
+        1.9253954372406006,
+        1.5692272598266601,
+        2.174523571395874,
+        1.989169766139984,
+        1.3499937854766846,
+        1.7908005687713624,
+        3.913453258514404,
+        8.14511700668335,
+        5.840194707679749,
+        4.497665633392334,
+        3.1302750116348266,
+        3.5435767040252686,
+        4.556240005493164,
+        5.435755169677734,
+        9.532537229919434,
+        9.881556200408935,
+        6.2278411382198335,
+        4.9383210889816285,
+        4.416168696212768,
+        3.3235662673950195,
+        5.057485938262939,
+        3.643429838180542,
+        3.272873913192749,
+        2.747176977729797,
+        3.895003358268738,
+        2.62603823928833,
+        2.462896474838257,
+        2.229940517234802,
+        2.081709727478027,
+        2.7063279764175414,
+        3.1426480583190917,
+        3.744391917037964,
+        3.7624966133117677,
+        3.801296794509888,
+        4.549085423660278,
+        4.737994041442871,
+        3.6686552688598635,
+        2.8817406677246096,
+        2.1652517974853516,
+        2.257669227409363,
+        1.8863371967315674,
+        1.753921750640869,
+        1.704151694869995,
+        1.605138656806946,
+        1.366706605911255,
+        1.3500237414360046,
+        1.4022936582565309,
+        1.1546042854309082,
+        1.143458882522583,
+        1.030033224105835,
+        0.9880966281175614,
+        0.9858702459335327,
+        1.0123830188751222,
+        0.8727149436950684,
+        0.8251452196121216,
+        0.8818260744094849,
+        0.8404904095649719,
+        0.8257113872528076
+      ],
+      "term_loss": [
+        1.6504224247932433,
+        0.8375917286872864,
+        0.6154087921142578,
+        0.5532272914409637,
+        0.5395434478759765,
+        0.5454418560981751,
+        0.548071176624298,
+        0.8495948793888092,
+        0.871022064948082,
+        0.6399660477638245,
+        0.7113209009170532,
+        1.0140180881977081,
+        0.8458488144636154,
+        0.8732069333314896,
+        0.6247593785524368,
+        1.064120747566223,
+        1.9725029928207398,
+        0.8703572043895721,
+        0.9687161136627197,
+        1.3335205810546875,
+        0.6815592967748642,
+        0.9841544357299805,
+        1.4630473113059999,
+        1.1648006004333495,
+        1.6974185828447341,
+        1.585868435716629,
+        1.086215167760849,
+        1.4794144651412964,
+        3.383740266418457,
+        6.938124223327637,
+        5.274092036437988,
+        3.881667746925354,
+        2.553757908630371,
+        2.978989521408081,
+        3.82173573884964,
+        4.520999314308167,
+        8.147785523223877,
+        8.00288946609497,
+        5.000799319529533,
+        4.125068738365173,
+        3.5042172052383425,
+        2.699850891304016,
+        4.425766694641113,
+        3.1604889556884768,
+        2.7477581281661987,
+        2.2315157468795777,
+        3.2700717025756836,
+        2.140160263442993,
+        2.0445699644088746,
+        1.8384040803909303,
+        1.7394722784042358,
+        2.334256193733215,
+        2.7318620399475098,
+        3.210952592277527,
+        3.1114013697624205,
+        3.125122370147705,
+        3.922404075050354,
+        4.07079298210144,
+        3.0838204498291018,
+        2.4635134841918944,
+        1.74991473236084,
+        1.8150607773780822,
+        1.5140642840385437,
+        1.4030307838439942,
+        1.390348579788208,
+        1.2754892768859862,
+        1.0548970350265503,
+        1.0442349720954895,
+        1.079941069793701,
+        0.869195331954956,
+        0.8486155418395996,
+        0.7500218649864197,
+        0.7166386909261346,
+        0.7068471017837524,
+        0.7262772275924683,
+        0.6089376243591309,
+        0.565191646194458,
+        0.6097024906158447,
+        0.5746593361854553,
+        0.5509136886596679
+      ],
+      "bridge_loss": [
+        0.8274208247567294,
+        0.04628952074944973,
+        0.005470760084688663,
+        0.022114072570204736,
+        0.02619350514113903,
+        0.02462219797000289,
+        0.016575153788924216,
+        0.012172694252431393,
+        0.008306282567977906,
+        0.007131045020371676,
+        0.006602350142598152,
+        0.007133904299885034,
+        0.00889486790150404,
+        0.007033539731428027,
+        0.007029886939749121,
+        0.016358042316138743,
+        0.020663128697872162,
+        0.010306563833355903,
+        0.020879663941264153,
+        0.10206406505107879,
+        0.06092094658613205,
+        0.1235328954577446,
+        0.260770632982254,
+        0.20950047061443328,
+        0.26373723001480104,
+        0.20571331169605256,
+        0.07498671305179595,
+        0.12556591314077378,
+        0.2968582089275122,
+        0.9360601034164429,
+        0.34663937301635744,
+        0.39642132375240324,
+        0.38016364483833315,
+        0.36436182782649995,
+        0.5179255735874176,
+        0.6902249323606491,
+        1.1416879810333251,
+        1.6240587829351425,
+        0.9814537258118391,
+        0.5799458844184876,
+        0.659208872383833,
+        0.39408149279356003,
+        0.3656025336742401,
+        0.22205486388206483,
+        0.2630800589323044,
+        0.25402860095500945,
+        0.3471872593641281,
+        0.2257408608198166,
+        0.1474910190463066,
+        0.13604351500570774,
+        0.09966603577136994,
+        0.11529678661227226,
+        0.12656707118153573,
+        0.24201848303973675,
+        0.34999929159879684,
+        0.3684466096520424,
+        0.32107353453636167,
+        0.36825179790854456,
+        0.2991718190073967,
+        0.14634431777000428,
+        0.15489137840270997,
+        0.19152780306339265,
+        0.1264393635749817,
+        0.110255957955122,
+        0.06583732250332833,
+        0.09188482095599175,
+        0.07512128737568856,
+        0.06769476855397225,
+        0.08805738928318024,
+        0.052597072744369505,
+        0.061042466819286344,
+        0.049813730967044834,
+        0.043870848792791364,
+        0.051897744873166084,
+        0.05865620729923248,
+        0.03764229657351971,
+        0.03385210290849209,
+        0.04558607372045517,
+        0.04050549000203609,
+        0.049323998257517813
+      ],
+      "tgrad_loss": [
+        0.27887171220779416,
+        0.18610301048755645,
+        0.15184532343149185,
+        0.143339737200737,
+        0.13819767172336578,
+        0.1389200611591339,
+        0.1399084441423416,
+        0.16610983300209045,
+        0.15578146158456802,
+        0.15140049700737,
+        0.15842433052062987,
+        0.18362878961563112,
+        0.17322721722126008,
+        0.17729875540733336,
+        0.1571024955034256,
+        0.20004582180976868,
+        0.23207265706062316,
+        0.2017266354560852,
+        0.20090780715942383,
+        0.20671938235759735,
+        0.17046530573368074,
+        0.18722992515563966,
+        0.20157747678756713,
+        0.19492619981765746,
+        0.21336774530410765,
+        0.19758802919387816,
+        0.1887919110774994,
+        0.18582018871307374,
+        0.2328547879219055,
+        0.2709327209472656,
+        0.21946332993507386,
+        0.21957662334442138,
+        0.1963534575819969,
+        0.20022535383701323,
+        0.21657870807647706,
+        0.22453099676370622,
+        0.24306369013786316,
+        0.2546080108642578,
+        0.24558807609081268,
+        0.23330649132728576,
+        0.25274263796806334,
+        0.2296339340209961,
+        0.2661167623519897,
+        0.2608860526561737,
+        0.26203568353652956,
+        0.2616326283454895,
+        0.27774441232681274,
+        0.2601371428012848,
+        0.2708354802131653,
+        0.25549290828704835,
+        0.24257140054702758,
+        0.2567750201940536,
+        0.2842189628124237,
+        0.29142085790634153,
+        0.30109593143463137,
+        0.3077278130531311,
+        0.3056078572273254,
+        0.29894922952651976,
+        0.2856630270242691,
+        0.2718828806877136,
+        0.26044571537971495,
+        0.25108065757751463,
+        0.24583355770111084,
+        0.24063498420715332,
+        0.2479657948255539,
+        0.2377645515680313,
+        0.2366882876396179,
+        0.2380939986228943,
+        0.2342951997756958,
+        0.2328118751525879,
+        0.23380087866783142,
+        0.23019764132499695,
+        0.22758708037137984,
+        0.2271253991127014,
+        0.22744957551956177,
+        0.22613502042293548,
+        0.2261014585018158,
+        0.2265375138759613,
+        0.2253255781173706,
+        0.22547370266914368
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.0015124600613489747,
+        0.020085982978343964,
+        0.03127610310912132,
+        0.03517032414674759,
+        0.042219605296850204,
+        0.05027471110224724,
+        0.05683741718530655,
+        0.057938531041145325,
+        0.06581299006938934,
+        0.06761687994003296,
+        0.07107532024383545,
+        0.07804323732852936
+      ],
+      "perturbation_rho": [
+        0.03147998824715614,
+        -0.015333062037825584,
+        0.020876668393611908,
+        0.07304719090461731,
+        0.0599740669131279,
+        0.08874240517616272,
+        0.05341971293091774,
+        0.07721589505672455,
+        0.08801877498626709,
+        0.10527393221855164,
+        0.16833831369876862,
+        0.1291283369064331
+      ],
+      "nudging": {
+        "0.001": [
+          -0.00044463935773819685,
+          -0.00012659450294449925,
+          -0.0001986775896511972,
+          -0.0002730795240495354,
+          -0.0002829947043210268,
+          -0.00034303159918636084,
+          -0.0003691607271321118,
+          -0.00040001055458560586,
+          -0.00042912771459668875,
+          -0.00045504042645916343,
+          -0.00047524512046948075,
+          -0.0004846052033826709
+        ],
+        "0.003": [
+          -0.0013053687289357185,
+          -0.00038041931111365557,
+          -0.0005985662573948503,
+          -0.0008211880922317505,
+          -0.0008477486553601921,
+          -0.001032006461173296,
+          -0.0011103888973593712,
+          -0.0012022369774058461,
+          -0.0012896620901301503,
+          -0.00136495940387249,
+          -0.0014261011965572834,
+          -0.0014572828076779842
+        ],
+        "0.01": [
+          -0.004048495087772608,
+          -0.0012588155223056674,
+          -0.0019918864127248526,
+          -0.002725755563005805,
+          -0.0028244066052138805,
+          -0.003425109200179577,
+          -0.0036919033154845238,
+          -0.003999053034931421,
+          -0.0042928787879645824,
+          -0.004538967739790678,
+          -0.004742524586617947,
+          -0.004852524492889643
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L2_s123.json b/results/synth_ladder_v2_lo/synth_a0.0_L2_s123.json
new file mode 100644
index 0000000..09aec16
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L2_s123.json
@@ -0,0 +1,1512 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.7207277019500733,
+        0.7790515207290649,
+        0.45965238094329836,
+        0.344505589389801,
+        0.305948727107048,
+        0.265342556476593,
+        0.25686684017181394,
+        0.24114981298446655,
+        0.22925823230743408,
+        0.23424035305976867,
+        0.21124905035495758,
+        0.19400378139019012,
+        0.18992817602157594,
+        0.20065753853321075,
+        0.1758887457370758,
+        0.18987385909557342,
+        0.1766733213186264,
+        0.17402569117546082,
+        0.16750437734127044,
+        0.1609703923225403,
+        0.1667053633213043,
+        0.15978011922836305,
+        0.16382880132198333,
+        0.15408793671131135,
+        0.1573232760667801,
+        0.15904042587280273,
+        0.16996713733673097,
+        0.16745088925361634,
+        0.1407752888917923,
+        0.1437982935667038,
+        0.1288691416501999,
+        0.13675620369911193,
+        0.1404436342716217,
+        0.1322325788140297,
+        0.1205964973449707,
+        0.12338397283554077,
+        0.11539463124275208,
+        0.11405454754829407,
+        0.11564468727111817,
+        0.11277760289907456,
+        0.10829375276565552,
+        0.10773034353256225,
+        0.10590754004120827,
+        0.10246410021781921,
+        0.10704636499881745,
+        0.10346804196238518,
+        0.09824472286701202,
+        0.09875981305241585,
+        0.09532992283701897,
+        0.09478073754310608,
+        0.09963924968242645,
+        0.09461190940141678,
+        0.09311110566854477,
+        0.09307761950492859,
+        0.09144059424400329,
+        0.09472406225204467,
+        0.09397407406568527,
+        0.08954561126232147,
+        0.08714181256294251,
+        0.08698110367059708,
+        0.0848695909947157,
+        0.08321986048221588,
+        0.08306121920347213,
+        0.0825563444018364,
+        0.0815550530552864,
+        0.08082753023505211,
+        0.08034503507614135,
+        0.07994237960577011,
+        0.07942863342761994,
+        0.07910665745735168,
+        0.0787971821308136,
+        0.0786789097070694,
+        0.078331869161129,
+        0.07799442697763442,
+        0.07777877117395401,
+        0.07760189070105553,
+        0.07745174323320389,
+        0.07733372535705567,
+        0.0772703528702259,
+        0.07722830307483673
+      ],
+      "train_acc": [
+        0.4324,
+        0.7882,
+        0.875,
+        0.9066,
+        0.9012,
+        0.9149,
+        0.9096,
+        0.9135,
+        0.9191,
+        0.9118,
+        0.9244,
+        0.9294,
+        0.9321,
+        0.9245,
+        0.9372,
+        0.9291,
+        0.932,
+        0.937,
+        0.9356,
+        0.9412,
+        0.9378,
+        0.9412,
+        0.9395,
+        0.9424,
+        0.9405,
+        0.9422,
+        0.9318,
+        0.9324,
+        0.95,
+        0.9485,
+        0.9534,
+        0.9511,
+        0.9495,
+        0.9511,
+        0.9588,
+        0.9603,
+        0.9626,
+        0.9636,
+        0.9609,
+        0.9649,
+        0.9659,
+        0.9662,
+        0.9662,
+        0.9694,
+        0.9661,
+        0.9688,
+        0.9715,
+        0.9703,
+        0.9743,
+        0.974,
+        0.9705,
+        0.9722,
+        0.974,
+        0.9737,
+        0.9759,
+        0.9726,
+        0.975,
+        0.9765,
+        0.9784,
+        0.9791,
+        0.9809,
+        0.9814,
+        0.9807,
+        0.9816,
+        0.9824,
+        0.9836,
+        0.9833,
+        0.9834,
+        0.9835,
+        0.9838,
+        0.9846,
+        0.9842,
+        0.9848,
+        0.9848,
+        0.9846,
+        0.9848,
+        0.9852,
+        0.9851,
+        0.9852,
+        0.9853
+      ],
+      "test_acc": [
+        0.669,
+        0.8435,
+        0.8705,
+        0.879,
+        0.874,
+        0.8965,
+        0.899,
+        0.89,
+        0.8975,
+        0.8895,
+        0.896,
+        0.903,
+        0.9,
+        0.902,
+        0.9035,
+        0.907,
+        0.907,
+        0.897,
+        0.907,
+        0.9025,
+        0.9065,
+        0.905,
+        0.904,
+        0.9025,
+        0.903,
+        0.906,
+        0.9055,
+        0.9035,
+        0.919,
+        0.905,
+        0.9065,
+        0.9085,
+        0.9075,
+        0.9085,
+        0.911,
+        0.9135,
+        0.906,
+        0.91,
+        0.917,
+        0.9215,
+        0.915,
+        0.9145,
+        0.915,
+        0.916,
+        0.9155,
+        0.912,
+        0.916,
+        0.9135,
+        0.9155,
+        0.9185,
+        0.917,
+        0.918,
+        0.9215,
+        0.92,
+        0.9165,
+        0.915,
+        0.9155,
+        0.917,
+        0.9145,
+        0.919,
+        0.9165,
+        0.914,
+        0.9155,
+        0.914,
+        0.916,
+        0.917,
+        0.918,
+        0.9185,
+        0.9195,
+        0.9195,
+        0.9195,
+        0.92,
+        0.92,
+        0.9205,
+        0.92,
+        0.9205,
+        0.9195,
+        0.92,
+        0.9205,
+        0.9205
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8634263277053833,
+        0.8499601483345032
+      ],
+      "perturbation_rho": [
+        0.9999988079071045,
+        0.9999933838844299
+      ],
+      "nudging": {
+        "0.001": [
+          -0.022913530468940735,
+          -0.0076592592522501945
+        ],
+        "0.003": [
+          -0.06158487871289253,
+          -0.022190168499946594
+        ],
+        "0.01": [
+          -0.13922545313835144,
+          -0.06537239253520966
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.2145429794311524,
+        1.4832333190917968,
+        0.8427700979232788,
+        0.5642387649536132,
+        0.44259997854232785,
+        0.3797396701812744,
+        0.36115866856575013,
+        0.3420704277038574,
+        0.34744873743057253,
+        0.35834124784469606,
+        0.34505550694465636,
+        0.37205679273605347,
+        0.36223536982536314,
+        0.3897885517209768,
+        0.3661109811067581,
+        0.3905520539283752,
+        0.3873382499694824,
+        0.4310034593820572,
+        0.379075954246521,
+        0.3956090630054474,
+        0.41010830894708633,
+        0.3871167766094208,
+        0.4128729253053665,
+        0.37673398666381835,
+        0.4386045214653015,
+        0.4175387234687805,
+        0.5163568344116211,
+        0.41816404705047605,
+        0.3691399229049683,
+        0.3856747570514679,
+        0.3798481074810028,
+        0.3966631019592285,
+        0.4648309063076973,
+        0.3615638767376542,
+        0.35468427698612215,
+        0.38685988901853563,
+        0.3459345358610153,
+        0.3860490513801575,
+        0.40029369468688963,
+        0.3782256749629974,
+        0.35560350346565245,
+        0.3603634602546692,
+        0.3720236937999725,
+        0.379230254983902,
+        0.3613779128074646,
+        0.3320357777953148,
+        0.3244936734318733,
+        0.3268082529783249,
+        0.316782475566864,
+        0.3409638210296631,
+        0.34503824408650396,
+        0.31332876653671266,
+        0.3428362133741379,
+        0.32030015414953233,
+        0.31090027656555175,
+        0.3185324101924896,
+        0.3263511387348175,
+        0.30935111100673673,
+        0.30104202661514284,
+        0.30687724331617355,
+        0.29393203148841857,
+        0.2826761653423309,
+        0.28839151701927185,
+        0.2897114434480667,
+        0.2847494943141937,
+        0.28069971054792403,
+        0.27908870706558225,
+        0.2764286852836609,
+        0.2836688223004341,
+        0.27157128534317015,
+        0.2719319869995117,
+        0.27284973291158676,
+        0.2693837205886841,
+        0.2679568641424179,
+        0.26705331959724427,
+        0.26758628270626067,
+        0.2656683373451233,
+        0.2651437629699707,
+        0.26474326791763303,
+        0.26457467867136003
+      ],
+      "train_acc": [
+        0.1934,
+        0.5051,
+        0.7204,
+        0.8027,
+        0.8378,
+        0.855,
+        0.8574,
+        0.8678,
+        0.867,
+        0.8666,
+        0.8729,
+        0.868,
+        0.8718,
+        0.8671,
+        0.8734,
+        0.8663,
+        0.8653,
+        0.862,
+        0.8727,
+        0.8701,
+        0.8711,
+        0.8743,
+        0.8727,
+        0.8771,
+        0.8627,
+        0.8671,
+        0.8467,
+        0.8678,
+        0.881,
+        0.8785,
+        0.8742,
+        0.871,
+        0.8619,
+        0.8833,
+        0.8836,
+        0.8765,
+        0.887,
+        0.8747,
+        0.8724,
+        0.8812,
+        0.8841,
+        0.8831,
+        0.8812,
+        0.8799,
+        0.8799,
+        0.8887,
+        0.8908,
+        0.8877,
+        0.8959,
+        0.8881,
+        0.8856,
+        0.8951,
+        0.8854,
+        0.8905,
+        0.892,
+        0.892,
+        0.8897,
+        0.894,
+        0.8976,
+        0.8963,
+        0.8993,
+        0.9014,
+        0.9001,
+        0.8995,
+        0.9015,
+        0.9031,
+        0.9016,
+        0.9033,
+        0.9009,
+        0.9056,
+        0.9043,
+        0.9036,
+        0.9049,
+        0.9055,
+        0.9051,
+        0.9051,
+        0.9057,
+        0.9055,
+        0.9061,
+        0.9063
+      ],
+      "test_acc": [
+        0.355,
+        0.6045,
+        0.7335,
+        0.7805,
+        0.8005,
+        0.805,
+        0.813,
+        0.826,
+        0.826,
+        0.8285,
+        0.816,
+        0.821,
+        0.815,
+        0.828,
+        0.8065,
+        0.827,
+        0.797,
+        0.826,
+        0.797,
+        0.792,
+        0.82,
+        0.812,
+        0.817,
+        0.8115,
+        0.806,
+        0.8075,
+        0.804,
+        0.831,
+        0.8235,
+        0.827,
+        0.805,
+        0.8145,
+        0.821,
+        0.8315,
+        0.813,
+        0.8245,
+        0.8245,
+        0.8145,
+        0.815,
+        0.8255,
+        0.8275,
+        0.821,
+        0.8175,
+        0.8095,
+        0.8385,
+        0.835,
+        0.8395,
+        0.8305,
+        0.8305,
+        0.8365,
+        0.826,
+        0.835,
+        0.834,
+        0.82,
+        0.8245,
+        0.8285,
+        0.821,
+        0.836,
+        0.837,
+        0.833,
+        0.8415,
+        0.832,
+        0.84,
+        0.8435,
+        0.8405,
+        0.8465,
+        0.839,
+        0.849,
+        0.843,
+        0.8425,
+        0.8395,
+        0.843,
+        0.8395,
+        0.845,
+        0.84,
+        0.841,
+        0.8415,
+        0.841,
+        0.841,
+        0.841
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.048809632658958435,
+        0.12263120710849762
+      ],
+      "perturbation_rho": [
+        0.09689537435770035,
+        0.10561469197273254
+      ],
+      "nudging": {
+        "0.001": [
+          -0.001597832073457539,
+          -0.00047309682122431695
+        ],
+        "0.003": [
+          -0.004742181394249201,
+          -0.001416387502104044
+        ],
+        "0.01": [
+          -0.015226385556161404,
+          -0.00468847481533885
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        2.0100293533325195,
+        1.0204413017272949,
+        0.54354176902771,
+        0.39702820897102353,
+        0.3586913129806519,
+        0.3554326295375824,
+        0.361624427986145,
+        0.36465097951889036,
+        0.3603580026626587,
+        0.3543916482686996,
+        0.3507106711387634,
+        0.35224332275390624,
+        0.3475004379510879,
+        0.3553124601364136,
+        0.37312231225967407,
+        0.37028597445487976,
+        0.3665724731683731,
+        0.37034252033233644,
+        0.38506430788040164,
+        0.4009858402252197,
+        0.41984470853805544,
+        0.4130363565444946,
+        0.4252812045574188,
+        0.43580607299804686,
+        0.466691482257843,
+        0.4120105969429016,
+        0.4388778105735779,
+        0.418408594417572,
+        0.42251289710998535,
+        0.42326131315231325,
+        0.41453264694213865,
+        0.4108378723144531,
+        0.42514692809581756,
+        0.41193596658706666,
+        0.4172293882369995,
+        0.4110143481254578,
+        0.3909164998292923,
+        0.38413406591415405,
+        0.38740381708145144,
+        0.38655886726379396,
+        0.38635201063156127,
+        0.3766866379261017,
+        0.3757282977819443,
+        0.37710726108551024,
+        0.3712064995765686,
+        0.37017061100006105,
+        0.3811788000822067,
+        0.3592162804841995,
+        0.368729523897171,
+        0.38313820214271543,
+        0.3553819965362549,
+        0.38453965463638307,
+        0.352666961979866,
+        0.35594648966789244,
+        0.35147202444076536,
+        0.3434806545257568,
+        0.350411687374115,
+        0.3472837806224823,
+        0.34532749392986295,
+        0.34017591814994813,
+        0.33683158864974977,
+        0.3410106474876404,
+        0.3374420499801636,
+        0.3345813477516174,
+        0.33512692725658416,
+        0.33064404239654543,
+        0.3299761538028717,
+        0.32880062866806986,
+        0.3271276932477951,
+        0.3273114435195923,
+        0.32523203148841856,
+        0.32425895788669584,
+        0.32357494492530825,
+        0.3230543273448944,
+        0.32268554170131686,
+        0.32191982040405276,
+        0.32155804014205935,
+        0.32106889061927796,
+        0.3208657922267914,
+        0.3206909418106079
+      ],
+      "train_acc": [
+        0.2879,
+        0.6675,
+        0.8151,
+        0.8582,
+        0.8655,
+        0.8656,
+        0.8608,
+        0.8595,
+        0.8647,
+        0.8689,
+        0.8684,
+        0.8684,
+        0.8691,
+        0.8643,
+        0.8616,
+        0.8616,
+        0.8673,
+        0.8624,
+        0.8547,
+        0.8522,
+        0.8427,
+        0.8437,
+        0.8419,
+        0.8374,
+        0.8276,
+        0.8474,
+        0.8357,
+        0.843,
+        0.842,
+        0.8394,
+        0.8435,
+        0.8439,
+        0.8437,
+        0.8477,
+        0.8473,
+        0.8446,
+        0.8546,
+        0.8604,
+        0.8586,
+        0.8571,
+        0.8605,
+        0.8645,
+        0.8609,
+        0.8647,
+        0.8645,
+        0.8668,
+        0.8617,
+        0.8685,
+        0.8675,
+        0.861,
+        0.8705,
+        0.8656,
+        0.8723,
+        0.8709,
+        0.8723,
+        0.8763,
+        0.8751,
+        0.8766,
+        0.8715,
+        0.8758,
+        0.8782,
+        0.8767,
+        0.8801,
+        0.8774,
+        0.8801,
+        0.8824,
+        0.8806,
+        0.8808,
+        0.8815,
+        0.8819,
+        0.8825,
+        0.8823,
+        0.8819,
+        0.883,
+        0.8819,
+        0.8831,
+        0.8823,
+        0.8828,
+        0.8826,
+        0.8828
+      ],
+      "test_acc": [
+        0.5255,
+        0.7235,
+        0.7935,
+        0.8195,
+        0.8155,
+        0.818,
+        0.8185,
+        0.8195,
+        0.819,
+        0.8235,
+        0.8145,
+        0.8175,
+        0.822,
+        0.8115,
+        0.8185,
+        0.809,
+        0.809,
+        0.806,
+        0.7985,
+        0.789,
+        0.802,
+        0.795,
+        0.7785,
+        0.767,
+        0.782,
+        0.7785,
+        0.793,
+        0.7765,
+        0.798,
+        0.7875,
+        0.8025,
+        0.799,
+        0.808,
+        0.794,
+        0.81,
+        0.8045,
+        0.8135,
+        0.8065,
+        0.8235,
+        0.8165,
+        0.819,
+        0.8085,
+        0.8145,
+        0.8115,
+        0.8125,
+        0.815,
+        0.819,
+        0.812,
+        0.8155,
+        0.8175,
+        0.8125,
+        0.811,
+        0.8125,
+        0.8235,
+        0.8155,
+        0.8145,
+        0.8215,
+        0.816,
+        0.818,
+        0.8225,
+        0.825,
+        0.8205,
+        0.818,
+        0.818,
+        0.8235,
+        0.824,
+        0.8185,
+        0.8175,
+        0.821,
+        0.818,
+        0.8195,
+        0.822,
+        0.8185,
+        0.8205,
+        0.82,
+        0.8195,
+        0.8205,
+        0.82,
+        0.822,
+        0.822
+      ],
+      "state_pred_error": [
+        0.7962929263591766,
+        0.331514656496048,
+        0.19661902210712434,
+        0.16503102767467498,
+        0.14755443301200866,
+        0.12628681234121322,
+        0.10449981281757355,
+        0.08584924747943878,
+        0.0699757203578949,
+        0.05582202136516571,
+        0.04389634461402893,
+        0.036387173852324484,
+        0.03049680006802082,
+        0.02591462894678116,
+        0.02221634505391121,
+        0.019373500156402587,
+        0.017665761670470237,
+        0.0157645114377141,
+        0.014524527588486671,
+        0.013737535402178765,
+        0.012687528398633003,
+        0.011898116055130959,
+        0.011640684556961059,
+        0.010859360812604427,
+        0.010485637862980365,
+        0.009991707500815392,
+        0.009739254067838193,
+        0.008777845013141631,
+        0.00828778415173292,
+        0.008094209410250188,
+        0.007691447506099939,
+        0.007422742694616318,
+        0.007276442471146584,
+        0.006999653156101703,
+        0.0067770635947585105,
+        0.006470148958265781,
+        0.006286166054010391,
+        0.00604953683167696,
+        0.006004941011965275,
+        0.005863147027045488,
+        0.005500460632890463,
+        0.005411263838410377,
+        0.005238449747860432,
+        0.005156481459736824,
+        0.004926877556741238,
+        0.004763428920507431,
+        0.004753794524073601,
+        0.004590867299586535,
+        0.004666488307341933,
+        0.004403108169138432,
+        0.004165763948857784,
+        0.00412739000916481,
+        0.0041623744465410705,
+        0.004234333600848913,
+        0.004279930933192373,
+        0.00375170355848968,
+        0.003802278782427311,
+        0.0036928312376141546,
+        0.0036528290495276452,
+        0.0038295471183955668,
+        0.003527464033663273,
+        0.0033376181811094283,
+        0.003297599468007684,
+        0.0033206129163503646,
+        0.003547699999809265,
+        0.0032429821506142617,
+        0.0031518954910337927,
+        0.003168932900391519,
+        0.002991512390971184,
+        0.0029735447630286215,
+        0.0029666012093424797,
+        0.0029554983984678984,
+        0.002873803383857012,
+        0.002869913595914841,
+        0.00284024139046669,
+        0.0029223025660961867,
+        0.0027367467910051346,
+        0.0027474096663296223,
+        0.0026910540357232096,
+        0.0027065009888261556
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9309895038604736,
+        0.47941499948501587
+      ],
+      "perturbation_rho": [
+        0.8439192175865173,
+        0.37250760197639465
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0257757268846035,
+          -0.0026356291491538286
+        ],
+        "0.003": [
+          -0.07368925958871841,
+          -0.007871035486459732
+        ],
+        "0.01": [
+          -0.2068808674812317,
+          -0.025803586468100548
+        ]
+      },
+      "state_pred_error_per_layer": [
+        436.0709533691406,
+        352.44915771484375
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2166633338928223,
+        1.4822776604652406,
+        0.8527356213569641,
+        0.5706128049373627,
+        0.43896263313293454,
+        0.38758574914932253,
+        0.3662052785873413,
+        0.35315943990945814,
+        0.3356183546543121,
+        0.3451760648012161,
+        0.35537444372177124,
+        0.3936114372730255,
+        0.35565873963832856,
+        0.3649965980768204,
+        0.37292858068943024,
+        0.3939949078083038,
+        0.39196848384141925,
+        0.39390314302444457,
+        0.42576994676589963,
+        0.4276782782554627,
+        0.49126899070739743,
+        0.5104124393463135,
+        0.5060470756292343,
+        0.5146438408851624,
+        0.5792045258522034,
+        0.58794528465271,
+        0.6390262460947037,
+        0.6486665966033935,
+        0.6689690710544586,
+        0.7052691784381866,
+        0.7274600021362305,
+        0.7133333879470826,
+        0.7636545959472656,
+        0.7814437804698944,
+        0.7844102795600891,
+        0.775709469127655,
+        0.8138838304996491,
+        0.8132558471679687,
+        0.8678097775459289,
+        0.8119752780914307,
+        0.8714342193603516,
+        0.9063542318344117,
+        0.925028806400299,
+        0.8863205076217652,
+        0.9204323357582093,
+        0.9434663917541504,
+        0.9461792286872863,
+        0.9343688268661499,
+        0.9500316833496094,
+        0.9462117325782776,
+        0.9365047801971436,
+        0.935371301651001,
+        0.9619980144500733,
+        0.9775615167617798,
+        0.9611524658203126,
+        0.9673760023117065,
+        0.9664952352523803,
+        0.9738808612823486,
+        0.9750494892120362,
+        0.997103341293335,
+        0.9816123373031617,
+        0.9958496462821961,
+        1.0000357272148133,
+        0.9956781629562378,
+        1.0005756943702697,
+        1.0038517833709717,
+        1.0042228302001952,
+        1.0025716598510743,
+        1.002968798828125,
+        1.0022998886108399,
+        1.0010733880996705,
+        0.9982695043563843,
+        0.9950118174552918,
+        0.9933666072845458,
+        0.9921276975631714,
+        0.990613134765625,
+        0.9894881931304932,
+        0.9888591194152831,
+        0.9883952844619751,
+        0.9880848827362061
+      ],
+      "train_acc": [
+        0.1912,
+        0.5078,
+        0.712,
+        0.8031,
+        0.8345,
+        0.8512,
+        0.8565,
+        0.8636,
+        0.8719,
+        0.8714,
+        0.8708,
+        0.8646,
+        0.8746,
+        0.8757,
+        0.8688,
+        0.866,
+        0.867,
+        0.8694,
+        0.8589,
+        0.8607,
+        0.8507,
+        0.8413,
+        0.8457,
+        0.8431,
+        0.8284,
+        0.822,
+        0.8066,
+        0.8036,
+        0.7986,
+        0.7888,
+        0.7845,
+        0.7843,
+        0.7753,
+        0.764,
+        0.7626,
+        0.7606,
+        0.7499,
+        0.7428,
+        0.7326,
+        0.738,
+        0.7238,
+        0.7095,
+        0.7052,
+        0.7201,
+        0.7072,
+        0.7003,
+        0.6995,
+        0.6979,
+        0.699,
+        0.6974,
+        0.701,
+        0.6997,
+        0.6946,
+        0.6889,
+        0.6945,
+        0.6899,
+        0.6912,
+        0.6881,
+        0.6871,
+        0.6842,
+        0.6865,
+        0.6847,
+        0.6883,
+        0.6848,
+        0.6851,
+        0.6841,
+        0.6878,
+        0.6856,
+        0.6872,
+        0.6879,
+        0.686,
+        0.6866,
+        0.6869,
+        0.6855,
+        0.6881,
+        0.6875,
+        0.688,
+        0.6885,
+        0.6881,
+        0.6881
+      ],
+      "test_acc": [
+        0.348,
+        0.5945,
+        0.728,
+        0.782,
+        0.7995,
+        0.811,
+        0.8105,
+        0.818,
+        0.825,
+        0.8175,
+        0.811,
+        0.8265,
+        0.824,
+        0.821,
+        0.821,
+        0.8255,
+        0.8055,
+        0.827,
+        0.814,
+        0.77,
+        0.795,
+        0.789,
+        0.788,
+        0.783,
+        0.764,
+        0.7615,
+        0.7575,
+        0.7545,
+        0.734,
+        0.735,
+        0.728,
+        0.7295,
+        0.718,
+        0.721,
+        0.7195,
+        0.709,
+        0.687,
+        0.661,
+        0.671,
+        0.6885,
+        0.6745,
+        0.6765,
+        0.6655,
+        0.6745,
+        0.657,
+        0.675,
+        0.6705,
+        0.6505,
+        0.6705,
+        0.673,
+        0.6785,
+        0.666,
+        0.6705,
+        0.6695,
+        0.669,
+        0.6715,
+        0.672,
+        0.666,
+        0.6715,
+        0.6685,
+        0.674,
+        0.6665,
+        0.6655,
+        0.6695,
+        0.6565,
+        0.6595,
+        0.6655,
+        0.6545,
+        0.6655,
+        0.6625,
+        0.6615,
+        0.6615,
+        0.6645,
+        0.666,
+        0.6625,
+        0.664,
+        0.6635,
+        0.6635,
+        0.6635,
+        0.664
+      ],
+      "value_loss": [
+        2.862312266921997,
+        0.7870045631408692,
+        0.5866680012226104,
+        0.487851585483551,
+        0.42467003531455993,
+        0.42933752834796907,
+        0.4517250923156738,
+        0.49036711559295654,
+        0.5370833713054657,
+        0.5225693160533905,
+        0.5723625789642334,
+        0.6810438357830048,
+        0.6196456489801407,
+        0.6161580103397369,
+        0.6767898920059204,
+        0.6839942785263061,
+        0.7228468099951744,
+        0.731743062210083,
+        0.8153413344562054,
+        0.8487729335784913,
+        1.1239148555755616,
+        1.111784733581543,
+        1.0937595278739929,
+        1.1393394327163697,
+        1.3184698207855226,
+        1.2240205763816834,
+        1.281676392173767,
+        1.3282772884368896,
+        1.277956589794159,
+        1.3837186878204346,
+        1.3530437088012695,
+        1.1659054378509521,
+        1.209618302154541,
+        1.0256237523555756,
+        0.9905264866828919,
+        0.8770509265899659,
+        0.9170616325616836,
+        0.8460413787841797,
+        0.978120857000351,
+        0.7710761907577515,
+        0.7819046745300293,
+        0.8031992895126343,
+        0.8599374737739564,
+        0.7989227243423462,
+        0.8483824888706207,
+        0.838105262184143,
+        0.831775927734375,
+        0.8010647817611695,
+        0.7901058013916016,
+        0.7647614275455474,
+        0.764328832244873,
+        0.7659363707542419,
+        0.7591242840766906,
+        0.793391801738739,
+        0.774118152999878,
+        0.6988259189605713,
+        0.7934306571006775,
+        0.754872838139534,
+        0.7264098434448242,
+        0.7199796464920044,
+        0.7088566905021667,
+        0.7621092021942139,
+        0.7465033507347107,
+        0.7402997331619263,
+        0.697352447605133,
+        0.722913084411621,
+        0.7380389479637146,
+        0.6805807943344117,
+        0.6974307493209839,
+        0.6769652221679687,
+        0.6623517539978028,
+        0.6548144243717193,
+        0.6477350507736206,
+        0.6379247413635254,
+        0.6550224852561951,
+        0.6673833505630493,
+        0.6371668090820313,
+        0.6245359985351563,
+        0.6310369262695312,
+        0.6019191103935242
+      ],
+      "term_loss": [
+        1.6362721346855165,
+        0.37781597232818603,
+        0.35956392331123355,
+        0.30113453228473663,
+        0.2540520797491074,
+        0.26107953673601153,
+        0.28645103769302366,
+        0.33103201488256456,
+        0.3847377519249916,
+        0.369207483792305,
+        0.41831262006759645,
+        0.5161090086460114,
+        0.4692179684817791,
+        0.4602657828330994,
+        0.5237038430452347,
+        0.5198972980499268,
+        0.5641665159583091,
+        0.5718718901395797,
+        0.6431136459127068,
+        0.677467121887207,
+        0.9314209022521973,
+        0.9112024291992188,
+        0.8943795773983002,
+        0.9359503910779953,
+        1.0914871151924133,
+        0.9879622640609741,
+        1.026415785932541,
+        1.078644213104248,
+        1.0273881074905395,
+        1.1246179870605468,
+        1.085285704421997,
+        0.8998660541534423,
+        0.9242175249814987,
+        0.7358711883544922,
+        0.6963623027563095,
+        0.5854673199653625,
+        0.6217934660077095,
+        0.5570110441207886,
+        0.6709790559053421,
+        0.4901563432216644,
+        0.4858744155883789,
+        0.4959319089889526,
+        0.5449313802719116,
+        0.4945675350189209,
+        0.5295222800731659,
+        0.5174280918598175,
+        0.5047948003768921,
+        0.4674406248092651,
+        0.4568398364067078,
+        0.4325192159175873,
+        0.4349327120780945,
+        0.4375899739265442,
+        0.42619164731502535,
+        0.45259529867172243,
+        0.4362746577501297,
+        0.36338143222332003,
+        0.4524987346172333,
+        0.4116030908584595,
+        0.38697444515228274,
+        0.3790359831929207,
+        0.3727722673654556,
+        0.41500336648225783,
+        0.4030157947540283,
+        0.39471385617256166,
+        0.35684009437263015,
+        0.37995485734939577,
+        0.3932207664966583,
+        0.3434924767494202,
+        0.3561821739196777,
+        0.33800402256250384,
+        0.32919570360183714,
+        0.32527549781799314,
+        0.32046796481013295,
+        0.3076671746253967,
+        0.32101710920333865,
+        0.329897655916214,
+        0.3110539279192686,
+        0.289623655128479,
+        0.30524736881256104,
+        0.28414561631679536
+      ],
+      "bridge_loss": [
+        0.9257246531827085,
+        0.11931550175547599,
+        0.019036986203491688,
+        0.009200494468957186,
+        0.01670405386686325,
+        0.022144653449952603,
+        0.02092598076760769,
+        0.017403891210258007,
+        0.014749217769503593,
+        0.014875961096584797,
+        0.012387205076217652,
+        0.013591324252635241,
+        0.01249192453622818,
+        0.015692542472481728,
+        0.011785203318297863,
+        0.014191117997467518,
+        0.012356174829602242,
+        0.015679762499034404,
+        0.018022386149317025,
+        0.018556285762786864,
+        0.025691469037532805,
+        0.027234909960627555,
+        0.026883753621578216,
+        0.02885721744298935,
+        0.036984953236579896,
+        0.042136997365951535,
+        0.04648944373428822,
+        0.0383615080177784,
+        0.03299343649148941,
+        0.036316176214814186,
+        0.037490837126970294,
+        0.03762312990427017,
+        0.04573201023340225,
+        0.04586766301393509,
+        0.05017340140193701,
+        0.048964026015996934,
+        0.044927955681830646,
+        0.03785374255180359,
+        0.0429724424123764,
+        0.028634057849645615,
+        0.032143977612257006,
+        0.03326438666582108,
+        0.038441793063282964,
+        0.03851528071463108,
+        0.04538965437486768,
+        0.041940523386001585,
+        0.04745692467689514,
+        0.05371042605638504,
+        0.053415575397014615,
+        0.053903627383708956,
+        0.05321261163949966,
+        0.053114770835638044,
+        0.0531739701628685,
+        0.057856653088331225,
+        0.059756802570819854,
+        0.05648564575314522,
+        0.06359097779989242,
+        0.06458331343829632,
+        0.060640481400489804,
+        0.05943436603546143,
+        0.058031611156463624,
+        0.06803198567032814,
+        0.06276154099106789,
+        0.06635524654388428,
+        0.06129389543533325,
+        0.06432680562734604,
+        0.06636923305988311,
+        0.059899713945388795,
+        0.0640624837398529,
+        0.062204831221699716,
+        0.057054962158203125,
+        0.054482452845573424,
+        0.05312725995779038,
+        0.05630911908447742,
+        0.06101996395587921,
+        0.06387735533714295,
+        0.0534395126581192,
+        0.0628511904478073,
+        0.0538769678235054,
+        0.04602321577072144
+      ],
+      "tgrad_loss": [
+        0.3003154767036438,
+        0.2898730874300003,
+        0.20806708674430846,
+        0.17751656254529952,
+        0.15391390190124513,
+        0.14611333754062653,
+        0.14434807376861572,
+        0.14193120997697115,
+        0.13759640024900435,
+        0.13848587619662284,
+        0.14166275129318237,
+        0.15134349975585937,
+        0.13793575568199157,
+        0.14019968309402467,
+        0.14130084238052368,
+        0.14990585656166078,
+        0.1463241186618805,
+        0.14419140665531158,
+        0.1542052926674485,
+        0.1527495301246643,
+        0.1668024854183197,
+        0.17334739017486572,
+        0.17249620418548584,
+        0.17453181505203247,
+        0.18999774327278138,
+        0.1939213035583496,
+        0.2087711593389511,
+        0.2112715651512146,
+        0.21757504351139068,
+        0.22278451583385467,
+        0.23026716661453248,
+        0.2284162474632263,
+        0.23966876842975615,
+        0.24388489694595336,
+        0.24399078636169433,
+        0.24261958465576172,
+        0.25034020925164224,
+        0.2511765937805176,
+        0.2641693664073944,
+        0.2522857914686203,
+        0.2638862795829773,
+        0.2740029864311218,
+        0.2765643033981323,
+        0.2658399072170258,
+        0.2734705581665039,
+        0.27873664593696595,
+        0.27952420189380645,
+        0.2799137293815613,
+        0.279850385761261,
+        0.2783385745048523,
+        0.27618350377082823,
+        0.27523162972927095,
+        0.2797586728334427,
+        0.28293985466957094,
+        0.2780866926670075,
+        0.2789588441610336,
+        0.27734094581604,
+        0.27868643355369566,
+        0.27879491510391236,
+        0.2815093013763428,
+        0.2780528148651123,
+        0.2790738520145416,
+        0.2807260126113892,
+        0.27923062591552733,
+        0.2792184523820877,
+        0.2786314179420471,
+        0.27844894323349,
+        0.2771886028289795,
+        0.2771860946416855,
+        0.2767563671588898,
+        0.2761010935783386,
+        0.2750564743757248,
+        0.2741398271083832,
+        0.27394844496250154,
+        0.2729854103088379,
+        0.2736083378314972,
+        0.2726733682632446,
+        0.27206115741729736,
+        0.2719125874519348,
+        0.27175028200149537
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.08253486454486847,
+        0.21193227171897888
+      ],
+      "perturbation_rho": [
+        0.16999724507331848,
+        0.38439691066741943
+      ],
+      "nudging": {
+        "0.001": [
+          -0.006295680068433285,
+          -0.0018268785206601024
+        ],
+        "0.003": [
+          -0.01877513900399208,
+          -0.005475326906889677
+        ],
+        "0.01": [
+          -0.06126694008708,
+          -0.018186643719673157
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L2_s42.json b/results/synth_ladder_v2_lo/synth_a0.0_L2_s42.json
new file mode 100644
index 0000000..45cc27d
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L2_s42.json
@@ -0,0 +1,1512 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.7469921964645385,
+        0.7762492984771728,
+        0.4454891031265259,
+        0.3439776607513428,
+        0.30045424115657804,
+        0.26611735553741456,
+        0.2505315256118774,
+        0.24360769803524018,
+        0.22747097635269165,
+        0.21351920757293702,
+        0.22532537747621537,
+        0.19045140881538392,
+        0.21200945961475373,
+        0.18350264816284179,
+        0.19344435539245605,
+        0.19839551146030426,
+        0.18061033978462218,
+        0.18738391342163085,
+        0.18450877788066863,
+        0.1632273875951767,
+        0.16299721558094024,
+        0.16514803619384766,
+        0.1703759162902832,
+        0.15658577971458434,
+        0.14988700304031372,
+        0.15264777562618256,
+        0.14738776090145111,
+        0.13500966317653657,
+        0.1457256983742118,
+        0.13223446586132048,
+        0.13609031571149827,
+        0.13583973288536072,
+        0.1469111985206604,
+        0.13777201886177062,
+        0.13065203895568847,
+        0.12617083721160888,
+        0.1321597861289978,
+        0.12395665965080262,
+        0.11719741675853729,
+        0.11553976912498475,
+        0.11449888982772827,
+        0.11582267075777054,
+        0.11140473079681397,
+        0.11012234913110733,
+        0.10696516524553298,
+        0.10496284217834473,
+        0.10164717164635659,
+        0.09967014385461807,
+        0.09949336104393006,
+        0.09992695951461791,
+        0.09878557796478271,
+        0.0970326550245285,
+        0.09741161692142486,
+        0.09751687405109405,
+        0.09623571313023567,
+        0.09284615292549134,
+        0.0957500367641449,
+        0.09338720336854457,
+        0.09024579298496246,
+        0.08942505007982254,
+        0.08785170428752899,
+        0.08733722891807556,
+        0.08688130040168762,
+        0.08673911666870117,
+        0.08548909291028976,
+        0.08519326827526093,
+        0.08429346961975098,
+        0.08352354682683945,
+        0.08309621875286102,
+        0.08272465426325798,
+        0.08228744316101075,
+        0.08209771162867546,
+        0.08182088244557381,
+        0.08152369939088822,
+        0.08132276413440705,
+        0.08110721132159233,
+        0.08096936017274857,
+        0.08085654984712601,
+        0.08079161962270737,
+        0.08074765578508378
+      ],
+      "train_acc": [
+        0.4186,
+        0.794,
+        0.8784,
+        0.8999,
+        0.9031,
+        0.9152,
+        0.9146,
+        0.9133,
+        0.921,
+        0.9255,
+        0.915,
+        0.9361,
+        0.9218,
+        0.9335,
+        0.9261,
+        0.9272,
+        0.9335,
+        0.932,
+        0.9311,
+        0.9429,
+        0.9413,
+        0.9402,
+        0.9383,
+        0.9425,
+        0.9462,
+        0.9424,
+        0.9487,
+        0.9543,
+        0.9483,
+        0.9555,
+        0.9531,
+        0.9531,
+        0.9454,
+        0.9526,
+        0.9564,
+        0.9572,
+        0.9548,
+        0.9578,
+        0.9611,
+        0.9644,
+        0.9644,
+        0.9634,
+        0.966,
+        0.9664,
+        0.9675,
+        0.9682,
+        0.9708,
+        0.9716,
+        0.9738,
+        0.9711,
+        0.974,
+        0.9742,
+        0.9739,
+        0.9723,
+        0.9728,
+        0.9778,
+        0.9738,
+        0.9747,
+        0.9771,
+        0.9784,
+        0.9793,
+        0.9797,
+        0.9803,
+        0.9807,
+        0.9809,
+        0.981,
+        0.9813,
+        0.9821,
+        0.9822,
+        0.9821,
+        0.9822,
+        0.9832,
+        0.983,
+        0.9833,
+        0.9833,
+        0.9832,
+        0.9836,
+        0.9838,
+        0.9839,
+        0.9841
+      ],
+      "test_acc": [
+        0.674,
+        0.8355,
+        0.8645,
+        0.8825,
+        0.874,
+        0.878,
+        0.886,
+        0.8895,
+        0.889,
+        0.8865,
+        0.89,
+        0.8995,
+        0.894,
+        0.8955,
+        0.891,
+        0.893,
+        0.896,
+        0.898,
+        0.9015,
+        0.901,
+        0.903,
+        0.91,
+        0.906,
+        0.9105,
+        0.901,
+        0.9105,
+        0.9095,
+        0.908,
+        0.9015,
+        0.911,
+        0.909,
+        0.9075,
+        0.9065,
+        0.901,
+        0.9065,
+        0.908,
+        0.9095,
+        0.913,
+        0.9125,
+        0.9155,
+        0.9155,
+        0.9125,
+        0.9165,
+        0.9105,
+        0.914,
+        0.9155,
+        0.9155,
+        0.9155,
+        0.921,
+        0.918,
+        0.9145,
+        0.9185,
+        0.9185,
+        0.9195,
+        0.917,
+        0.9185,
+        0.9165,
+        0.9155,
+        0.916,
+        0.916,
+        0.9175,
+        0.9175,
+        0.9165,
+        0.9175,
+        0.918,
+        0.9205,
+        0.9185,
+        0.9195,
+        0.9195,
+        0.9185,
+        0.919,
+        0.92,
+        0.9195,
+        0.9185,
+        0.918,
+        0.918,
+        0.9185,
+        0.9185,
+        0.9185,
+        0.9185
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9016435146331787,
+        0.885430634021759
+      ],
+      "perturbation_rho": [
+        0.9999990463256836,
+        0.9999956488609314
+      ],
+      "nudging": {
+        "0.001": [
+          -0.025333665311336517,
+          -0.008427875116467476
+        ],
+        "0.003": [
+          -0.06789667904376984,
+          -0.024404384195804596
+        ],
+        "0.01": [
+          -0.1530623733997345,
+          -0.07174263894557953
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.2672516973495482,
+        1.5406763599395752,
+        0.8734839607238769,
+        0.5719744925498962,
+        0.43795060081481935,
+        0.3796915352344513,
+        0.3515102066040039,
+        0.34363653602600097,
+        0.346579896068573,
+        0.3523189636230469,
+        0.36527162773907185,
+        0.354346701669693,
+        0.36580664479769764,
+        0.3704022624015808,
+        0.38606751427650454,
+        0.39586514394283295,
+        0.39508123254776,
+        0.3993864247083664,
+        0.37308432426452637,
+        0.37541835613250735,
+        0.39490375390052795,
+        0.41886737365722654,
+        0.42669332542419436,
+        0.4329951783180237,
+        0.41213310742378234,
+        0.41604060430526735,
+        0.439035751914978,
+        0.4203595119476318,
+        0.4442571120105684,
+        0.3852801851511002,
+        0.4143046700000763,
+        0.40898334140777587,
+        0.4385781176567078,
+        0.4152657918930054,
+        0.3895705045700073,
+        0.37223660364151,
+        0.44713057374954224,
+        0.39130793590545654,
+        0.4226909558773041,
+        0.40002760217189787,
+        0.40161972694396975,
+        0.40211384024620056,
+        0.35893915023803713,
+        0.3810792253375053,
+        0.3602697286605835,
+        0.39281459631919863,
+        0.36947657871246337,
+        0.35637855994701384,
+        0.3324590299606323,
+        0.3467387020111084,
+        0.36033435146808623,
+        0.33432699961662293,
+        0.34486105864048006,
+        0.33717776260375976,
+        0.3389194183349609,
+        0.33332413997650145,
+        0.3654030384540558,
+        0.33450953476428985,
+        0.3124741755962372,
+        0.318544306409359,
+        0.30823197283744813,
+        0.3136479189872742,
+        0.31080177907943723,
+        0.3169054593086243,
+        0.3074277029514313,
+        0.30450149250030517,
+        0.30927493453025817,
+        0.3046170944571495,
+        0.2992845245361328,
+        0.3026343915730715,
+        0.29540148811340333,
+        0.29762721849679946,
+        0.29338113285303113,
+        0.29300176270604134,
+        0.2912304340839386,
+        0.2921901733696461,
+        0.29031082172393796,
+        0.2895033945083618,
+        0.2892534152030945,
+        0.2889680833816528
+      ],
+      "train_acc": [
+        0.1707,
+        0.4868,
+        0.6988,
+        0.7929,
+        0.8367,
+        0.8555,
+        0.866,
+        0.873,
+        0.8721,
+        0.8736,
+        0.8709,
+        0.8743,
+        0.8744,
+        0.8735,
+        0.8726,
+        0.873,
+        0.8759,
+        0.8706,
+        0.8758,
+        0.879,
+        0.8741,
+        0.8645,
+        0.8702,
+        0.8677,
+        0.8714,
+        0.8741,
+        0.8644,
+        0.8692,
+        0.8643,
+        0.8824,
+        0.8701,
+        0.8755,
+        0.8675,
+        0.8737,
+        0.8813,
+        0.8809,
+        0.8657,
+        0.8804,
+        0.8722,
+        0.8754,
+        0.8757,
+        0.8753,
+        0.8879,
+        0.8822,
+        0.8884,
+        0.8823,
+        0.8806,
+        0.8855,
+        0.8935,
+        0.893,
+        0.8867,
+        0.8912,
+        0.8868,
+        0.8913,
+        0.8911,
+        0.8926,
+        0.8844,
+        0.8921,
+        0.8996,
+        0.8933,
+        0.8985,
+        0.8971,
+        0.8978,
+        0.8939,
+        0.9007,
+        0.9005,
+        0.8987,
+        0.8986,
+        0.9016,
+        0.9009,
+        0.9022,
+        0.9008,
+        0.9041,
+        0.9027,
+        0.9035,
+        0.9042,
+        0.9041,
+        0.9038,
+        0.9039,
+        0.9041
+      ],
+      "test_acc": [
+        0.3125,
+        0.5955,
+        0.726,
+        0.775,
+        0.7965,
+        0.8115,
+        0.8185,
+        0.823,
+        0.814,
+        0.8095,
+        0.8235,
+        0.818,
+        0.8225,
+        0.802,
+        0.8155,
+        0.8165,
+        0.8145,
+        0.8135,
+        0.826,
+        0.8315,
+        0.8215,
+        0.817,
+        0.8075,
+        0.7745,
+        0.8085,
+        0.817,
+        0.8235,
+        0.7995,
+        0.821,
+        0.795,
+        0.8085,
+        0.822,
+        0.8145,
+        0.8365,
+        0.8175,
+        0.8085,
+        0.8175,
+        0.804,
+        0.8235,
+        0.8135,
+        0.818,
+        0.812,
+        0.8305,
+        0.827,
+        0.827,
+        0.822,
+        0.8145,
+        0.8365,
+        0.8235,
+        0.8325,
+        0.8365,
+        0.83,
+        0.8215,
+        0.816,
+        0.8315,
+        0.835,
+        0.838,
+        0.8415,
+        0.839,
+        0.834,
+        0.841,
+        0.8325,
+        0.8355,
+        0.837,
+        0.8425,
+        0.8445,
+        0.8355,
+        0.8385,
+        0.8435,
+        0.8375,
+        0.8405,
+        0.8425,
+        0.8415,
+        0.8435,
+        0.842,
+        0.8425,
+        0.842,
+        0.844,
+        0.842,
+        0.842
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.003507068380713463,
+        0.06432205438613892
+      ],
+      "perturbation_rho": [
+        0.009520611725747585,
+        0.008434494026005268
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0002756889152806252,
+          -0.00020426382252480835
+        ],
+        "0.003": [
+          -0.0007265026797540486,
+          -0.0006114119896665215
+        ],
+        "0.01": [
+          -0.0012172441929578781,
+          -0.002031015930697322
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        2.035005982208252,
+        1.0625006386756897,
+        0.5681396248340607,
+        0.40292615756988526,
+        0.35494276213645937,
+        0.35367286462783815,
+        0.3522244266748428,
+        0.3483129674911499,
+        0.3471846503138542,
+        0.339002624130249,
+        0.3345070185661316,
+        0.32301185145378114,
+        0.33057213478088376,
+        0.32907251510620117,
+        0.3413796614646912,
+        0.3397313566684723,
+        0.34876382074356077,
+        0.37978848781585695,
+        0.3638390887260437,
+        0.38385889353752134,
+        0.37183677554130556,
+        0.3724878916740417,
+        0.37140159249305726,
+        0.36678935465812684,
+        0.39441064119338987,
+        0.3975552704811096,
+        0.37753898453712464,
+        0.3906581982135773,
+        0.37475493841171265,
+        0.37576223373413087,
+        0.3782484645366669,
+        0.37623033885359763,
+        0.36558109712600706,
+        0.3910276884615421,
+        0.3600040744304657,
+        0.36322228198051454,
+        0.3801977564573288,
+        0.36730438537597654,
+        0.3575902397632599,
+        0.37418701705932617,
+        0.3590826825141907,
+        0.3950372566223144,
+        0.36714599866867065,
+        0.3721199869632721,
+        0.3592522024154663,
+        0.35940034481287003,
+        0.34905432891845706,
+        0.3683148382663727,
+        0.3443241489171982,
+        0.3423384827136993,
+        0.3531889009475708,
+        0.34689038696289065,
+        0.35813456788063047,
+        0.35032057762145996,
+        0.3468820187568665,
+        0.3417310636520386,
+        0.3436132889151573,
+        0.3363162727832794,
+        0.33885444416999816,
+        0.3382028401374817,
+        0.3337278725862503,
+        0.32967933921813963,
+        0.33579480311870574,
+        0.3290024467945099,
+        0.32965006504058836,
+        0.32792007284164426,
+        0.32932969875335694,
+        0.3255772262096405,
+        0.3246876961708069,
+        0.3239794743061066,
+        0.32336828413009644,
+        0.32233704478740693,
+        0.32169947628974915,
+        0.3200554334640503,
+        0.3199539676547051,
+        0.31967375645637514,
+        0.3195785717487335,
+        0.318930774641037,
+        0.3186777819395065,
+        0.3185241099357605
+      ],
+      "train_acc": [
+        0.2702,
+        0.6491,
+        0.8061,
+        0.8554,
+        0.8668,
+        0.8634,
+        0.8662,
+        0.8688,
+        0.8671,
+        0.8702,
+        0.8729,
+        0.8782,
+        0.8732,
+        0.8719,
+        0.8673,
+        0.8678,
+        0.8671,
+        0.8563,
+        0.8596,
+        0.854,
+        0.8605,
+        0.8572,
+        0.8592,
+        0.8646,
+        0.8541,
+        0.8505,
+        0.8577,
+        0.8555,
+        0.8621,
+        0.8601,
+        0.863,
+        0.8583,
+        0.8668,
+        0.8577,
+        0.8657,
+        0.862,
+        0.8547,
+        0.8652,
+        0.8667,
+        0.8618,
+        0.867,
+        0.8564,
+        0.8662,
+        0.8633,
+        0.8686,
+        0.8658,
+        0.8734,
+        0.8632,
+        0.8724,
+        0.8748,
+        0.8728,
+        0.8697,
+        0.8659,
+        0.8727,
+        0.8756,
+        0.8783,
+        0.8745,
+        0.8766,
+        0.8747,
+        0.8767,
+        0.8764,
+        0.8802,
+        0.8779,
+        0.879,
+        0.8787,
+        0.8781,
+        0.8788,
+        0.8802,
+        0.8798,
+        0.88,
+        0.8814,
+        0.8811,
+        0.8817,
+        0.8829,
+        0.8819,
+        0.8821,
+        0.8827,
+        0.8825,
+        0.8824,
+        0.8825
+      ],
+      "test_acc": [
+        0.503,
+        0.7255,
+        0.797,
+        0.817,
+        0.8245,
+        0.8205,
+        0.825,
+        0.824,
+        0.8225,
+        0.8195,
+        0.819,
+        0.804,
+        0.815,
+        0.803,
+        0.812,
+        0.806,
+        0.805,
+        0.787,
+        0.788,
+        0.7925,
+        0.7975,
+        0.787,
+        0.7985,
+        0.7925,
+        0.794,
+        0.7845,
+        0.788,
+        0.8,
+        0.809,
+        0.7955,
+        0.79,
+        0.804,
+        0.7995,
+        0.8195,
+        0.802,
+        0.8105,
+        0.805,
+        0.807,
+        0.788,
+        0.8005,
+        0.799,
+        0.805,
+        0.8055,
+        0.812,
+        0.8145,
+        0.8125,
+        0.81,
+        0.816,
+        0.814,
+        0.811,
+        0.8095,
+        0.807,
+        0.815,
+        0.8165,
+        0.8155,
+        0.822,
+        0.8125,
+        0.816,
+        0.824,
+        0.818,
+        0.8225,
+        0.8235,
+        0.8225,
+        0.8235,
+        0.822,
+        0.823,
+        0.826,
+        0.8225,
+        0.8245,
+        0.825,
+        0.8305,
+        0.8265,
+        0.8245,
+        0.825,
+        0.8245,
+        0.8255,
+        0.8255,
+        0.8245,
+        0.825,
+        0.825
+      ],
+      "state_pred_error": [
+        0.7930344770431519,
+        0.33453584871292114,
+        0.20085580315589904,
+        0.1662054708957672,
+        0.1484192388534546,
+        0.12706449398994446,
+        0.1051150745511055,
+        0.0862806459903717,
+        0.07003339284062386,
+        0.056576034367084506,
+        0.04550816717147827,
+        0.037443365716934206,
+        0.03156180031001568,
+        0.026521402359008787,
+        0.024098804253339767,
+        0.020684491539001464,
+        0.018775052654743194,
+        0.016968464668095113,
+        0.015761400666832924,
+        0.0148261524528265,
+        0.013772383904457092,
+        0.012841872078180314,
+        0.01212171582430601,
+        0.011358869352936745,
+        0.010760826092958451,
+        0.010395293319225311,
+        0.009721535283327103,
+        0.009380436344444751,
+        0.008714642544090748,
+        0.00832201651930809,
+        0.007944079050421715,
+        0.007537899447977543,
+        0.007203187400847673,
+        0.006980897760391235,
+        0.0067270153641700746,
+        0.006773905930668116,
+        0.006287054452300072,
+        0.006013905717432499,
+        0.005785777585208416,
+        0.00562433947250247,
+        0.005380938850343227,
+        0.005262843784689903,
+        0.005085598437488079,
+        0.00498003980666399,
+        0.004932753546535969,
+        0.005003796426951885,
+        0.004590760344266891,
+        0.004599673649668693,
+        0.00439439031817019,
+        0.00423201487660408,
+        0.004100750351697206,
+        0.004011376547813416,
+        0.003973590862005949,
+        0.004097817398235202,
+        0.0037751846626400947,
+        0.0036597197454422714,
+        0.003587385104969144,
+        0.0035407144874334334,
+        0.003462031126394868,
+        0.0033322377867996693,
+        0.0033507585413753986,
+        0.003264742435514927,
+        0.003270072665065527,
+        0.0031124879892915486,
+        0.003089210972934961,
+        0.003064330695942044,
+        0.0030382187522947786,
+        0.002925222585350275,
+        0.003029374345391989,
+        0.0030071801479905846,
+        0.0029380858182907104,
+        0.002891799750179052,
+        0.0028872372664511202,
+        0.0027601104773581028,
+        0.002647246193885803,
+        0.003206372195482254,
+        0.002585273112356663,
+        0.0026350405309349297,
+        0.0025491194140166043,
+        0.002513679987192154
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9153801202774048,
+        0.4171057343482971
+      ],
+      "perturbation_rho": [
+        0.8286964893341064,
+        0.3651735186576843
+      ],
+      "nudging": {
+        "0.001": [
+          -0.028001569211483,
+          -0.003089441917836666
+        ],
+        "0.003": [
+          -0.08059416711330414,
+          -0.00922414381057024
+        ],
+        "0.01": [
+          -0.23136131465435028,
+          -0.030226988717913628
+        ]
+      },
+      "state_pred_error_per_layer": [
+        438.86456298828125,
+        353.2518310546875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2677657585144044,
+        1.5392805450439453,
+        0.8744732268333435,
+        0.568014195728302,
+        0.4398987528085709,
+        0.3760902978897095,
+        0.3541576505661011,
+        0.3411660843849182,
+        0.34918038940429685,
+        0.3663975031852722,
+        0.35367102298736575,
+        0.3754954501867294,
+        0.36713659081459044,
+        0.38618344717025754,
+        0.3743376718521118,
+        0.40900271940231325,
+        0.393092963218689,
+        0.40236372089385986,
+        0.40079734888076785,
+        0.4382667214393616,
+        0.45539406690597534,
+        0.482037882232666,
+        0.48538611330986026,
+        0.5342730137348175,
+        0.5415242199420929,
+        0.5768073871612549,
+        0.6066906931877136,
+        0.5891243501663208,
+        0.6048513441085815,
+        0.6677637449264526,
+        0.6201698928833008,
+        0.6366922058105469,
+        0.6642072593688965,
+        0.6999521923065185,
+        0.6945115597724915,
+        0.6664895143508911,
+        0.7284628839492798,
+        0.6817547720909118,
+        0.6409681924819947,
+        0.6730700984954834,
+        0.7049953090667724,
+        0.6589361456871032,
+        0.6752442480087281,
+        0.7031260248184205,
+        0.697934859085083,
+        0.7272751848220825,
+        0.7606932877540589,
+        0.7395933769226074,
+        0.7341751010894776,
+        0.7405285339355469,
+        0.733946765422821,
+        0.7636806823730469,
+        0.7857295166015625,
+        0.7889110160827637,
+        0.7920944040298462,
+        0.7986338794708252,
+        0.8144829880714417,
+        0.8125959665298462,
+        0.8262598834991455,
+        0.8528658538818359,
+        0.8327025209903717,
+        0.838051769399643,
+        0.8450202142715454,
+        0.8672424634933472,
+        0.8608419931411743,
+        0.8575022724151611,
+        0.8643195161819458,
+        0.8576637521743774,
+        0.8549348508834839,
+        0.8627238691329956,
+        0.8602130598068237,
+        0.8596111630439758,
+        0.8598717666625977,
+        0.8593405214309693,
+        0.8577193733215333,
+        0.8576152732849122,
+        0.8567814826011658,
+        0.8552138454437256,
+        0.8546268630981445,
+        0.8542516090393066
+      ],
+      "train_acc": [
+        0.1687,
+        0.482,
+        0.6983,
+        0.7931,
+        0.8356,
+        0.8575,
+        0.8634,
+        0.8707,
+        0.8712,
+        0.8677,
+        0.8761,
+        0.8715,
+        0.8803,
+        0.874,
+        0.8744,
+        0.8687,
+        0.8705,
+        0.8714,
+        0.8688,
+        0.8601,
+        0.854,
+        0.8454,
+        0.8436,
+        0.8243,
+        0.8256,
+        0.8162,
+        0.8066,
+        0.8109,
+        0.8025,
+        0.7834,
+        0.794,
+        0.7832,
+        0.7798,
+        0.7623,
+        0.7665,
+        0.768,
+        0.7548,
+        0.7635,
+        0.7693,
+        0.7596,
+        0.7519,
+        0.7585,
+        0.7591,
+        0.7516,
+        0.7492,
+        0.7504,
+        0.7421,
+        0.744,
+        0.7436,
+        0.7452,
+        0.7458,
+        0.7377,
+        0.7331,
+        0.7333,
+        0.7298,
+        0.7316,
+        0.7319,
+        0.7304,
+        0.7251,
+        0.7211,
+        0.7276,
+        0.7256,
+        0.7235,
+        0.7199,
+        0.7224,
+        0.7196,
+        0.7167,
+        0.7208,
+        0.7206,
+        0.7152,
+        0.7204,
+        0.7213,
+        0.7205,
+        0.7207,
+        0.7194,
+        0.7214,
+        0.7189,
+        0.7189,
+        0.72,
+        0.7203
+      ],
+      "test_acc": [
+        0.3165,
+        0.585,
+        0.732,
+        0.777,
+        0.8045,
+        0.8135,
+        0.8195,
+        0.815,
+        0.812,
+        0.8215,
+        0.81,
+        0.823,
+        0.8185,
+        0.83,
+        0.814,
+        0.8175,
+        0.8005,
+        0.8195,
+        0.8085,
+        0.7935,
+        0.7795,
+        0.792,
+        0.762,
+        0.755,
+        0.761,
+        0.752,
+        0.7535,
+        0.739,
+        0.731,
+        0.7295,
+        0.7245,
+        0.7105,
+        0.7015,
+        0.6825,
+        0.705,
+        0.705,
+        0.713,
+        0.707,
+        0.708,
+        0.693,
+        0.709,
+        0.706,
+        0.6945,
+        0.681,
+        0.6865,
+        0.671,
+        0.684,
+        0.6535,
+        0.688,
+        0.69,
+        0.6805,
+        0.6705,
+        0.6685,
+        0.6865,
+        0.674,
+        0.671,
+        0.676,
+        0.668,
+        0.673,
+        0.6765,
+        0.675,
+        0.67,
+        0.666,
+        0.661,
+        0.6725,
+        0.6655,
+        0.6725,
+        0.6685,
+        0.666,
+        0.6645,
+        0.666,
+        0.671,
+        0.6695,
+        0.6665,
+        0.6705,
+        0.666,
+        0.6685,
+        0.6705,
+        0.6675,
+        0.6675
+      ],
+      "value_loss": [
+        2.905167144203186,
+        0.7669180957794189,
+        0.6147705508232116,
+        0.5460843969345093,
+        0.49546599617004394,
+        0.4756456241607666,
+        0.49797406158447266,
+        0.5252212357997894,
+        0.5387117910385132,
+        0.6003822177171707,
+        0.5737031475782395,
+        0.653786695432663,
+        0.6151383343935013,
+        0.6694676952362061,
+        0.6386722043037415,
+        0.7662193554401397,
+        0.7467729004859924,
+        0.7038962652206421,
+        0.6815459918498993,
+        0.8039541248321533,
+        0.8136287561416626,
+        0.8644815028190613,
+        0.8639612847328186,
+        0.957852701663971,
+        0.9195338849067688,
+        0.9657894494056701,
+        0.9908361279964447,
+        0.9199113003730774,
+        0.8898286704063415,
+        0.9735244311332703,
+        0.8156944500446319,
+        0.7673966148376464,
+        0.8238904671669006,
+        0.7150344722747802,
+        0.7092076916694641,
+        0.5518315614700318,
+        0.6911849412918091,
+        0.5676486842632293,
+        0.49137882578372954,
+        0.47492049646377565,
+        0.5294659261226654,
+        0.48027371821403503,
+        0.44395333375930784,
+        0.4657917083263397,
+        0.4749296194553375,
+        0.525708182144165,
+        0.5745783069372177,
+        0.5165858255386353,
+        0.49307253487110136,
+        0.5070521484375,
+        0.5017346429347992,
+        0.49205484499931335,
+        0.5560474545955658,
+        0.6022055298805237,
+        0.5778612011909485,
+        0.5518968848228455,
+        0.6285089484214783,
+        0.5622078717708587,
+        0.5958783441543579,
+        0.6478308411598206,
+        0.6241149466991425,
+        0.5775983124256134,
+        0.6079863901615142,
+        0.6766130451202392,
+        0.6386424642562866,
+        0.5859615839004516,
+        0.5853579979896545,
+        0.609243207168579,
+        0.5789407480239868,
+        0.5828682322502137,
+        0.5751972764015197,
+        0.566095032453537,
+        0.5679136329650879,
+        0.541389085483551,
+        0.5323089897155762,
+        0.5463050646781922,
+        0.5233067933321,
+        0.539995517539978,
+        0.5501079843044281,
+        0.5091902822494507
+      ],
+      "term_loss": [
+        1.6733786989212036,
+        0.35953630895614624,
+        0.3810900314331055,
+        0.3640085501432419,
+        0.3260841584324837,
+        0.3077553846359253,
+        0.3324718035697937,
+        0.367346294260025,
+        0.3859865920186043,
+        0.45301228156089784,
+        0.43512448742985727,
+        0.5114166520357132,
+        0.4755927606105804,
+        0.5224317581176757,
+        0.4974579632759094,
+        0.6170232265353203,
+        0.6003770110368729,
+        0.5554250373840331,
+        0.5345663616418839,
+        0.6390543521881104,
+        0.6454430676460267,
+        0.6881791119873524,
+        0.6889909839630127,
+        0.7676727800190449,
+        0.7288528527259827,
+        0.7648732300281524,
+        0.7703499612808228,
+        0.702520156121254,
+        0.6705087103843689,
+        0.7275943111419678,
+        0.5834438146114349,
+        0.5341563625752926,
+        0.5786461258172989,
+        0.4691500406265259,
+        0.46397005558013915,
+        0.3172274461269379,
+        0.4181660563707352,
+        0.32323681541234256,
+        0.2588549638271332,
+        0.24302781400680543,
+        0.2924638859629631,
+        0.24494203708171844,
+        0.2152600380897522,
+        0.22989102821350096,
+        0.2353773395419121,
+        0.28108422079086304,
+        0.31342148925065993,
+        0.27359422492980956,
+        0.25125429936647414,
+        0.257268256187439,
+        0.2591492292642593,
+        0.23964913494586945,
+        0.29251497268676757,
+        0.3298768766343594,
+        0.3039268769741058,
+        0.2792709235191345,
+        0.33827268505096436,
+        0.28002805522680285,
+        0.3018962340831757,
+        0.3368746694564819,
+        0.32222775983810426,
+        0.2843563482582569,
+        0.30906297858953474,
+        0.3611741382598877,
+        0.33170013012886046,
+        0.2902149326324463,
+        0.28840259952545166,
+        0.31378483290672304,
+        0.2902891281366348,
+        0.2919290991783142,
+        0.28340531673431396,
+        0.278327653375268,
+        0.27732584218978884,
+        0.25806645315587523,
+        0.25701560287475583,
+        0.2673572342649102,
+        0.2432628269404173,
+        0.2552922504991293,
+        0.2640775308728218,
+        0.2335890076160431
+      ],
+      "bridge_loss": [
+        0.9043548678459716,
+        0.1099991770863533,
+        0.0185405650511384,
+        0.006047719717770815,
+        0.016022920724749565,
+        0.028978378069400786,
+        0.031905842757225036,
+        0.029302026838064193,
+        0.023079814870655538,
+        0.016131247261166572,
+        0.012949446664750576,
+        0.013754056148231029,
+        0.015889972979575395,
+        0.018446111026406288,
+        0.01638760406896472,
+        0.017992716232687236,
+        0.019003601244091988,
+        0.020746660566329955,
+        0.01826081564426422,
+        0.02830883066356182,
+        0.024853757178783416,
+        0.024344006457924842,
+        0.023935870000720023,
+        0.02609362450838089,
+        0.025477111788839102,
+        0.02811358508467674,
+        0.037432029013335706,
+        0.04066388768851757,
+        0.03775561413168907,
+        0.045691771799325945,
+        0.04316586040407419,
+        0.03629823230803013,
+        0.044383459562063216,
+        0.03235162799358368,
+        0.0325787200063467,
+        0.027550594240427016,
+        0.053535217493772505,
+        0.035429628413915636,
+        0.031108605259656905,
+        0.023855108603835107,
+        0.02121337473988533,
+        0.02979328683614731,
+        0.020273821192979814,
+        0.020139847481250764,
+        0.025227140033245086,
+        0.025450278180837633,
+        0.03434615105986595,
+        0.02146386271119118,
+        0.02109189542680979,
+        0.02925411523580551,
+        0.02310084878951311,
+        0.02616748433560133,
+        0.03327374953627586,
+        0.04235334511995315,
+        0.041773559814691545,
+        0.03985991308093071,
+        0.05651662215590477,
+        0.04745835790634155,
+        0.055931367576122284,
+        0.06850977175235748,
+        0.0639593681037426,
+        0.05509283916950226,
+        0.05903308473825455,
+        0.07053237849473953,
+        0.06470432556271553,
+        0.0535823705971241,
+        0.051599254608154295,
+        0.05326937973499298,
+        0.047149808438122276,
+        0.046959778106212616,
+        0.04897745460271835,
+        0.04479330514669418,
+        0.04897215344905853,
+        0.040769342416524884,
+        0.03437164931297302,
+        0.03721886334717274,
+        0.03824560036659241,
+        0.04369500883221626,
+        0.04542522546350956,
+        0.035112081968784334
+      ],
+      "tgrad_loss": [
+        0.3274335751533508,
+        0.29738261065483096,
+        0.2151399471282959,
+        0.17602813131809233,
+        0.15335891692638398,
+        0.13891186106204986,
+        0.13359641733169555,
+        0.12857291507720947,
+        0.12964537999629974,
+        0.13123868188858032,
+        0.125629212808609,
+        0.12861598132550717,
+        0.12365560574531555,
+        0.1285898279428482,
+        0.1248266352891922,
+        0.13120342084169387,
+        0.1273922846198082,
+        0.12772456929683684,
+        0.12871881544589997,
+        0.13659093623161317,
+        0.14333192269802095,
+        0.151958393907547,
+        0.1510344393968582,
+        0.16408629912137984,
+        0.1652039253950119,
+        0.1728026305437088,
+        0.18305413188934327,
+        0.1767272587299347,
+        0.18156433925628662,
+        0.20023834683895111,
+        0.18908477582931518,
+        0.19694202189445495,
+        0.20086088314056397,
+        0.21353280200958252,
+        0.21265892071723938,
+        0.20705352492332457,
+        0.21948367331027985,
+        0.20898223748207093,
+        0.20141525354385376,
+        0.20803757467269898,
+        0.21578866653442383,
+        0.2055383932828903,
+        0.20841947269439698,
+        0.21576083455085754,
+        0.21432514040470124,
+        0.21917368249893188,
+        0.22681067111492156,
+        0.22152773485183716,
+        0.22072633769512176,
+        0.22052977714538574,
+        0.21948456611633302,
+        0.22623822565078736,
+        0.2302587287902832,
+        0.22997530328035354,
+        0.2321607629299164,
+        0.2327660462141037,
+        0.23371964123249053,
+        0.2347214570045471,
+        0.23805074806213378,
+        0.24244639527797698,
+        0.23792780854701995,
+        0.23814912319183348,
+        0.23989032588005066,
+        0.2449065265893936,
+        0.2422380124092102,
+        0.24216427443027497,
+        0.24535614709854126,
+        0.24218899645805358,
+        0.24150181224346162,
+        0.24397935581207275,
+        0.24281450612545014,
+        0.24297407388687134,
+        0.24161563982963563,
+        0.24255329012870788,
+        0.2409217383861542,
+        0.24172897021770479,
+        0.24179836411476135,
+        0.24100825939178466,
+        0.2406052262067795,
+        0.2404891884803772
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.1011175885796547,
+        0.23295700550079346
+      ],
+      "perturbation_rho": [
+        0.19994769990444183,
+        0.32798534631729126
+      ],
+      "nudging": {
+        "0.001": [
+          -0.00725348386913538,
+          -0.00188851123675704
+        ],
+        "0.003": [
+          -0.021614037454128265,
+          -0.0056588975712656975
+        ],
+        "0.01": [
+          -0.07033564895391464,
+          -0.01879441738128662
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L2_s456.json b/results/synth_ladder_v2_lo/synth_a0.0_L2_s456.json
new file mode 100644
index 0000000..3f357b8
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L2_s456.json
@@ -0,0 +1,1512 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.7540335287094115,
+        0.7887995930671692,
+        0.45601481485366824,
+        0.3563029076099396,
+        0.3058449071407318,
+        0.27814644107818604,
+        0.256092844247818,
+        0.2486086864233017,
+        0.2273713537454605,
+        0.22320388717651368,
+        0.22591865739822387,
+        0.21023976492881774,
+        0.21006116704940797,
+        0.2019081612110138,
+        0.19240621073246003,
+        0.17767472962141037,
+        0.17261487174034118,
+        0.18222670216560363,
+        0.18264247782230378,
+        0.16773689975738526,
+        0.18042192044258118,
+        0.17836842503547667,
+        0.17410975818634034,
+        0.17574358505010604,
+        0.15518579416275025,
+        0.14563439567089081,
+        0.14957009754180908,
+        0.16893083366155626,
+        0.14229146575927734,
+        0.1370330379009247,
+        0.1540110511779785,
+        0.16346854424476623,
+        0.13422132856845856,
+        0.12666763162612915,
+        0.12608725222349168,
+        0.12264905602931976,
+        0.1324379847049713,
+        0.13239208903312683,
+        0.1317316207408905,
+        0.12270301322340965,
+        0.11590332639217377,
+        0.11994003572463989,
+        0.11405094165802002,
+        0.1112155341386795,
+        0.10668404247760772,
+        0.10974465991258621,
+        0.1068548722743988,
+        0.10398986601829528,
+        0.10589976058006287,
+        0.1045347521185875,
+        0.09930369100570678,
+        0.09925224586725236,
+        0.10005474714636803,
+        0.09637348690032958,
+        0.09619558620452881,
+        0.09599231715202332,
+        0.09453698312044144,
+        0.09238649787902832,
+        0.09135240658521653,
+        0.09056207950115204,
+        0.0904913359284401,
+        0.08896962072849274,
+        0.08807550078630447,
+        0.08736293792724609,
+        0.0872790049791336,
+        0.08682763931751251,
+        0.0863328184247017,
+        0.08547967915534974,
+        0.08507368334531784,
+        0.08477922387123107,
+        0.08439313389062882,
+        0.08397663788795472,
+        0.08362844693660736,
+        0.08331081527471543,
+        0.0830932537317276,
+        0.08289919497966766,
+        0.08278876669406891,
+        0.0826721666097641,
+        0.08259252429008485,
+        0.08254909700155258
+      ],
+      "train_acc": [
+        0.4207,
+        0.7857,
+        0.8773,
+        0.894,
+        0.8987,
+        0.9076,
+        0.9143,
+        0.9122,
+        0.9185,
+        0.9164,
+        0.9167,
+        0.9216,
+        0.9235,
+        0.9238,
+        0.93,
+        0.9363,
+        0.9374,
+        0.9328,
+        0.9317,
+        0.9368,
+        0.9311,
+        0.9307,
+        0.9329,
+        0.9344,
+        0.9447,
+        0.946,
+        0.9452,
+        0.937,
+        0.9509,
+        0.9534,
+        0.9455,
+        0.9371,
+        0.9516,
+        0.9572,
+        0.9578,
+        0.9583,
+        0.9521,
+        0.953,
+        0.9548,
+        0.9569,
+        0.9621,
+        0.9563,
+        0.963,
+        0.9664,
+        0.9689,
+        0.967,
+        0.967,
+        0.9678,
+        0.9681,
+        0.9689,
+        0.9727,
+        0.9735,
+        0.9715,
+        0.9752,
+        0.974,
+        0.9752,
+        0.975,
+        0.9778,
+        0.9781,
+        0.9787,
+        0.9785,
+        0.9787,
+        0.9804,
+        0.9802,
+        0.9801,
+        0.9803,
+        0.9816,
+        0.9826,
+        0.9823,
+        0.9821,
+        0.9823,
+        0.9826,
+        0.9829,
+        0.983,
+        0.9833,
+        0.9833,
+        0.9832,
+        0.9838,
+        0.9839,
+        0.9839
+      ],
+      "test_acc": [
+        0.6795,
+        0.8435,
+        0.8735,
+        0.887,
+        0.887,
+        0.904,
+        0.908,
+        0.9,
+        0.9045,
+        0.9015,
+        0.903,
+        0.906,
+        0.9035,
+        0.9135,
+        0.9175,
+        0.9075,
+        0.9125,
+        0.913,
+        0.908,
+        0.913,
+        0.906,
+        0.911,
+        0.914,
+        0.9145,
+        0.921,
+        0.9215,
+        0.92,
+        0.915,
+        0.923,
+        0.923,
+        0.916,
+        0.917,
+        0.9285,
+        0.921,
+        0.921,
+        0.9275,
+        0.919,
+        0.927,
+        0.924,
+        0.9265,
+        0.928,
+        0.9215,
+        0.923,
+        0.9205,
+        0.928,
+        0.9235,
+        0.93,
+        0.927,
+        0.931,
+        0.929,
+        0.9305,
+        0.9275,
+        0.927,
+        0.93,
+        0.932,
+        0.9305,
+        0.9305,
+        0.932,
+        0.9295,
+        0.9305,
+        0.9305,
+        0.929,
+        0.93,
+        0.9325,
+        0.93,
+        0.9285,
+        0.9325,
+        0.9295,
+        0.929,
+        0.929,
+        0.931,
+        0.931,
+        0.93,
+        0.93,
+        0.929,
+        0.93,
+        0.9295,
+        0.9295,
+        0.9295,
+        0.9295
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8826531171798706,
+        0.8583619594573975
+      ],
+      "perturbation_rho": [
+        0.9999988079071045,
+        0.9999959468841553
+      ],
+      "nudging": {
+        "0.001": [
+          -0.021625827997922897,
+          -0.0073820194229483604
+        ],
+        "0.003": [
+          -0.0571812242269516,
+          -0.021265367045998573
+        ],
+        "0.01": [
+          -0.12340263277292252,
+          -0.06141046807169914
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.2789152168273925,
+        1.5198317989349366,
+        0.864434551525116,
+        0.5843122736930847,
+        0.45720995845794676,
+        0.4017148985385895,
+        0.3776179392337799,
+        0.37144901649951934,
+        0.3685629499435425,
+        0.37063308811187745,
+        0.37334213446378706,
+        0.3977362024307251,
+        0.3849859349250793,
+        0.3885465118408203,
+        0.4121596324086189,
+        0.4142354433834553,
+        0.41292374534606935,
+        0.4443123857498169,
+        0.44203310720920563,
+        0.42226147565841676,
+        0.4249496959686279,
+        0.4256349886894226,
+        0.43858823890686033,
+        0.4887267217159271,
+        0.4046924789428711,
+        0.44023080163002015,
+        0.4586866247177124,
+        0.47388719167709353,
+        0.4657478348731995,
+        0.4368759090423584,
+        0.49420316143035886,
+        0.455893372297287,
+        0.43190188279151914,
+        0.4301922942638397,
+        0.4683740642309189,
+        0.41559304761886595,
+        0.4515250599861145,
+        0.44344369277954104,
+        0.5267878504753113,
+        0.44394594959020617,
+        0.4324127757668495,
+        0.40358923535346986,
+        0.4648085826396942,
+        0.4322748986721039,
+        0.3977247392654419,
+        0.4430144777774811,
+        0.4182663669586182,
+        0.4156523362159729,
+        0.41285320320129393,
+        0.4263911725178361,
+        0.3818113656997681,
+        0.40127683003544806,
+        0.38001128873825074,
+        0.395466704750061,
+        0.37924830303192136,
+        0.39582441291809084,
+        0.38846483197212217,
+        0.3674187141418457,
+        0.37231723667383193,
+        0.3590473205566406,
+        0.3668627885401249,
+        0.35952253170013426,
+        0.3661739505529404,
+        0.35552182607650756,
+        0.35606588587760923,
+        0.3480822557926178,
+        0.3466999515578151,
+        0.3430781412124634,
+        0.3444066115856171,
+        0.34685713081359865,
+        0.3389283345222473,
+        0.3368847903251648,
+        0.33722841114997865,
+        0.3348792476654053,
+        0.335844083404541,
+        0.33308425464630126,
+        0.33272774691581725,
+        0.33165184540748593,
+        0.3310907633304596,
+        0.3308901508331299
+      ],
+      "train_acc": [
+        0.159,
+        0.4941,
+        0.7011,
+        0.7898,
+        0.8315,
+        0.85,
+        0.8575,
+        0.8576,
+        0.8634,
+        0.8631,
+        0.8649,
+        0.8574,
+        0.8654,
+        0.8661,
+        0.8592,
+        0.8603,
+        0.8626,
+        0.8547,
+        0.856,
+        0.8636,
+        0.8584,
+        0.8637,
+        0.8627,
+        0.8485,
+        0.8733,
+        0.8618,
+        0.8621,
+        0.859,
+        0.8585,
+        0.8637,
+        0.8544,
+        0.8631,
+        0.868,
+        0.8694,
+        0.8606,
+        0.873,
+        0.8584,
+        0.8689,
+        0.856,
+        0.8702,
+        0.871,
+        0.8764,
+        0.8614,
+        0.8719,
+        0.8793,
+        0.8682,
+        0.8713,
+        0.8756,
+        0.8757,
+        0.8733,
+        0.8849,
+        0.8772,
+        0.8819,
+        0.8792,
+        0.8835,
+        0.8813,
+        0.8817,
+        0.8863,
+        0.8835,
+        0.8858,
+        0.8857,
+        0.8845,
+        0.8833,
+        0.886,
+        0.8875,
+        0.8875,
+        0.8927,
+        0.8909,
+        0.891,
+        0.8876,
+        0.891,
+        0.892,
+        0.8939,
+        0.8924,
+        0.8919,
+        0.8912,
+        0.8928,
+        0.8941,
+        0.8947,
+        0.8946
+      ],
+      "test_acc": [
+        0.323,
+        0.6025,
+        0.745,
+        0.7805,
+        0.8,
+        0.8155,
+        0.806,
+        0.8185,
+        0.819,
+        0.8075,
+        0.8195,
+        0.8265,
+        0.8285,
+        0.814,
+        0.814,
+        0.8155,
+        0.8205,
+        0.813,
+        0.825,
+        0.8265,
+        0.809,
+        0.83,
+        0.8195,
+        0.839,
+        0.8095,
+        0.8245,
+        0.81,
+        0.8155,
+        0.835,
+        0.8135,
+        0.8325,
+        0.8325,
+        0.834,
+        0.813,
+        0.836,
+        0.842,
+        0.81,
+        0.8265,
+        0.834,
+        0.82,
+        0.833,
+        0.832,
+        0.8315,
+        0.8425,
+        0.824,
+        0.8375,
+        0.8375,
+        0.823,
+        0.824,
+        0.8375,
+        0.8415,
+        0.842,
+        0.842,
+        0.8365,
+        0.8405,
+        0.8435,
+        0.841,
+        0.85,
+        0.8425,
+        0.848,
+        0.844,
+        0.847,
+        0.849,
+        0.845,
+        0.8465,
+        0.846,
+        0.8445,
+        0.85,
+        0.8455,
+        0.8485,
+        0.847,
+        0.8475,
+        0.847,
+        0.848,
+        0.847,
+        0.8485,
+        0.851,
+        0.8495,
+        0.8485,
+        0.8485
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.016239378601312637,
+        0.08700481057167053
+      ],
+      "perturbation_rho": [
+        -0.0633457601070404,
+        0.09238316863775253
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0005403641844168305,
+          -0.0003429484786465764
+        ],
+        "0.003": [
+          -0.0015787126030772924,
+          -0.0010280576534569263
+        ],
+        "0.01": [
+          -0.004778302274644375,
+          -0.003415417857468128
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        2.03510007686615,
+        1.077442472267151,
+        0.609830850982666,
+        0.4300918912887573,
+        0.3839862449645996,
+        0.3708487091064453,
+        0.36614356565475464,
+        0.3628130876541138,
+        0.36194450925588606,
+        0.3576546109199524,
+        0.3619418657779694,
+        0.3517365313529968,
+        0.34097144956588743,
+        0.35138510484695434,
+        0.3435681216239929,
+        0.352434642791748,
+        0.3715478811264038,
+        0.3778843415737152,
+        0.3998612182617188,
+        0.3988710145950317,
+        0.41688702239990233,
+        0.4265467617034912,
+        0.4248304518222809,
+        0.40923274965286255,
+        0.3897163356781006,
+        0.3885489140033722,
+        0.3746957459449768,
+        0.3795012855529785,
+        0.3912307156085968,
+        0.38832212753295897,
+        0.39127745122909546,
+        0.4051106197834015,
+        0.4201839946746826,
+        0.4025802077293396,
+        0.413509761428833,
+        0.4256944602966309,
+        0.4097448627471924,
+        0.4372278747558594,
+        0.4230543599128723,
+        0.4329932454109192,
+        0.4262246448993683,
+        0.4197934967517853,
+        0.4233694318771362,
+        0.4268952363014221,
+        0.41731767301559447,
+        0.416495183467865,
+        0.4137693079948425,
+        0.42386709623336793,
+        0.40960294895172117,
+        0.40348369274139406,
+        0.4084292630195618,
+        0.393343914270401,
+        0.39545347409248355,
+        0.391191748046875,
+        0.3969509807109833,
+        0.3895566881656647,
+        0.3817503587841988,
+        0.37462963981628417,
+        0.3790303818464279,
+        0.3720798149585724,
+        0.37286534557342527,
+        0.37294170576334,
+        0.3663740547180176,
+        0.36788779735565186,
+        0.3682312522411346,
+        0.36158624505996706,
+        0.362826536655426,
+        0.35837330026626585,
+        0.35764170565605163,
+        0.3563748463153839,
+        0.3544979793548584,
+        0.35291474685668944,
+        0.3523685070037842,
+        0.351926808154583,
+        0.3506764990568161,
+        0.3501978385448456,
+        0.3497668510437012,
+        0.3495366275787353,
+        0.3492322545051575,
+        0.3491422838926315
+      ],
+      "train_acc": [
+        0.2744,
+        0.6311,
+        0.7872,
+        0.8484,
+        0.8554,
+        0.8602,
+        0.8602,
+        0.8633,
+        0.8637,
+        0.8656,
+        0.8633,
+        0.8667,
+        0.8716,
+        0.8655,
+        0.8699,
+        0.8666,
+        0.8529,
+        0.8537,
+        0.8501,
+        0.848,
+        0.8471,
+        0.8413,
+        0.8409,
+        0.8409,
+        0.8532,
+        0.8535,
+        0.8604,
+        0.858,
+        0.8543,
+        0.857,
+        0.8538,
+        0.8501,
+        0.8501,
+        0.8543,
+        0.8504,
+        0.8482,
+        0.8537,
+        0.8499,
+        0.8539,
+        0.848,
+        0.8512,
+        0.856,
+        0.8522,
+        0.8492,
+        0.8551,
+        0.8557,
+        0.8557,
+        0.8555,
+        0.8581,
+        0.862,
+        0.859,
+        0.8629,
+        0.8608,
+        0.8622,
+        0.8617,
+        0.8624,
+        0.8643,
+        0.8697,
+        0.8672,
+        0.8676,
+        0.8683,
+        0.8667,
+        0.8679,
+        0.8667,
+        0.866,
+        0.8722,
+        0.8701,
+        0.8718,
+        0.872,
+        0.8713,
+        0.8714,
+        0.8731,
+        0.8729,
+        0.873,
+        0.8724,
+        0.873,
+        0.8736,
+        0.8731,
+        0.8733,
+        0.8734
+      ],
+      "test_acc": [
+        0.525,
+        0.726,
+        0.7975,
+        0.8225,
+        0.8235,
+        0.825,
+        0.8225,
+        0.8235,
+        0.8195,
+        0.827,
+        0.8265,
+        0.8295,
+        0.835,
+        0.8375,
+        0.8315,
+        0.83,
+        0.824,
+        0.8095,
+        0.809,
+        0.8125,
+        0.799,
+        0.8075,
+        0.8115,
+        0.812,
+        0.812,
+        0.817,
+        0.812,
+        0.812,
+        0.8065,
+        0.815,
+        0.815,
+        0.81,
+        0.805,
+        0.817,
+        0.808,
+        0.823,
+        0.8045,
+        0.8,
+        0.801,
+        0.8115,
+        0.82,
+        0.814,
+        0.812,
+        0.8155,
+        0.8105,
+        0.8175,
+        0.8065,
+        0.817,
+        0.8135,
+        0.8205,
+        0.824,
+        0.8145,
+        0.8215,
+        0.812,
+        0.8215,
+        0.819,
+        0.8195,
+        0.815,
+        0.8225,
+        0.8205,
+        0.8225,
+        0.823,
+        0.8175,
+        0.8265,
+        0.8225,
+        0.829,
+        0.8255,
+        0.8255,
+        0.8265,
+        0.8255,
+        0.8285,
+        0.8265,
+        0.8285,
+        0.828,
+        0.829,
+        0.8275,
+        0.8275,
+        0.829,
+        0.8285,
+        0.8285
+      ],
+      "state_pred_error": [
+        0.7936658924102783,
+        0.33496607384681704,
+        0.20223751559257508,
+        0.16735892939567565,
+        0.14485984333753585,
+        0.11955849848985672,
+        0.09462791703939438,
+        0.07538449263572693,
+        0.05961660117506981,
+        0.04735348780155182,
+        0.038567446672916415,
+        0.03213091719150543,
+        0.028004648900032042,
+        0.024515093371272088,
+        0.022012931832671164,
+        0.020446427571773527,
+        0.018394847139716147,
+        0.016773300230503083,
+        0.015448834140598774,
+        0.014468847262859344,
+        0.013597128289937973,
+        0.012880013291537762,
+        0.012064755845069886,
+        0.011425680384039879,
+        0.010745641595125198,
+        0.010167037642002106,
+        0.0096464214771986,
+        0.009187596023082733,
+        0.008730744183063507,
+        0.008276390147954225,
+        0.007866678546369075,
+        0.00768265388160944,
+        0.007270389303565025,
+        0.007174727764725685,
+        0.0070541538849473,
+        0.0067812193542718885,
+        0.006654527989774942,
+        0.00636177619099617,
+        0.006175523652881384,
+        0.006045299311727285,
+        0.005936238116025925,
+        0.005970760487020016,
+        0.005785428526252508,
+        0.005630842386931181,
+        0.005440417719632387,
+        0.005434160755574703,
+        0.005252558408677578,
+        0.005300074205547571,
+        0.005076368814706802,
+        0.005021050906181336,
+        0.004854675306379795,
+        0.004958594182133675,
+        0.004614286011457443,
+        0.004535953061282635,
+        0.004470928203314543,
+        0.004415199124440551,
+        0.0042777580007910725,
+        0.004198400410264731,
+        0.004141696321219206,
+        0.004083840855211019,
+        0.004052111233770847,
+        0.003930420187115669,
+        0.003949926514923573,
+        0.0037584460385143756,
+        0.0037061349514871836,
+        0.003612276028469205,
+        0.0035469237841665746,
+        0.0035739093132317067,
+        0.0034136051505804063,
+        0.0034378198258578777,
+        0.003333174591511488,
+        0.0032446157082915306,
+        0.003214318350702524,
+        0.0031311317443847657,
+        0.003078432670608163,
+        0.003057278237864375,
+        0.0029395090855658056,
+        0.003017135479673743,
+        0.0030766903996467592,
+        0.0030378309611231087
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9387110471725464,
+        0.5040415525436401
+      ],
+      "perturbation_rho": [
+        0.7997298240661621,
+        0.4891185164451599
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02664007619023323,
+          -0.0032268627546727657
+        ],
+        "0.003": [
+          -0.07605530321598053,
+          -0.00962437316775322
+        ],
+        "0.01": [
+          -0.21233828365802765,
+          -0.031433407217264175
+        ]
+      },
+      "state_pred_error_per_layer": [
+        387.8657531738281,
+        319.336669921875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2791277053833006,
+        1.5271975772857667,
+        0.8674576456069947,
+        0.587049162864685,
+        0.4626688796043396,
+        0.4040388158321381,
+        0.37643657150268556,
+        0.37468256072998046,
+        0.3784513481616974,
+        0.3786823602676392,
+        0.37917218251228335,
+        0.38788830342292785,
+        0.3958303390264511,
+        0.393599364900589,
+        0.39977145621776583,
+        0.40370213751792905,
+        0.4120421281814575,
+        0.45399587993621826,
+        0.4687366197824478,
+        0.4652291350364685,
+        0.5005440378189087,
+        0.5234059304714203,
+        0.5221618666172028,
+        0.5542463368415832,
+        0.5820084628105163,
+        0.5705709765195847,
+        0.5702225286483764,
+        0.5786975580215454,
+        0.6307714500427246,
+        0.6665315362930297,
+        0.6137196712493896,
+        0.6527844795227051,
+        0.690822039604187,
+        0.7107784267425538,
+        0.7316474711418152,
+        0.718277031326294,
+        0.7050886112213135,
+        0.708720292520523,
+        0.7131800124168396,
+        0.7192850646018982,
+        0.7119332159996032,
+        0.7151562330245972,
+        0.7151052355766296,
+        0.7357472681999206,
+        0.7336779589653015,
+        0.7310818168640136,
+        0.7227139064788818,
+        0.7629635635375976,
+        0.7363060358047485,
+        0.7154419450759888,
+        0.7398526870727539,
+        0.7556214105606079,
+        0.7158489876747132,
+        0.7164914712905884,
+        0.7232932413101196,
+        0.720790207862854,
+        0.7382160652160644,
+        0.7421017236709595,
+        0.7198905362606048,
+        0.7215996326446533,
+        0.713732839012146,
+        0.7260521041870117,
+        0.7214395964860916,
+        0.7165161167144776,
+        0.718010532951355,
+        0.7195493728637695,
+        0.7165915153503418,
+        0.7138662039756775,
+        0.7102315483093262,
+        0.7073148555755615,
+        0.7073911678314209,
+        0.7052887998104096,
+        0.7047561235427856,
+        0.7036817129135132,
+        0.7020157369613648,
+        0.7008753277301788,
+        0.7001741619110108,
+        0.6988817626953125,
+        0.6988485893249512,
+        0.6985764275550842
+      ],
+      "train_acc": [
+        0.1601,
+        0.491,
+        0.7022,
+        0.7916,
+        0.8288,
+        0.8486,
+        0.8581,
+        0.8577,
+        0.8589,
+        0.8612,
+        0.8592,
+        0.8631,
+        0.8628,
+        0.8636,
+        0.8657,
+        0.8659,
+        0.8624,
+        0.8518,
+        0.8531,
+        0.8528,
+        0.8367,
+        0.8354,
+        0.8307,
+        0.8247,
+        0.8166,
+        0.8139,
+        0.8134,
+        0.8052,
+        0.793,
+        0.7851,
+        0.7952,
+        0.7803,
+        0.7699,
+        0.7628,
+        0.7577,
+        0.7532,
+        0.7604,
+        0.7578,
+        0.7536,
+        0.7537,
+        0.7561,
+        0.7468,
+        0.7497,
+        0.7416,
+        0.7428,
+        0.7422,
+        0.7463,
+        0.7339,
+        0.7393,
+        0.7454,
+        0.7379,
+        0.7354,
+        0.7424,
+        0.7436,
+        0.7415,
+        0.7443,
+        0.7379,
+        0.7353,
+        0.743,
+        0.7401,
+        0.744,
+        0.7405,
+        0.7417,
+        0.7408,
+        0.7428,
+        0.7408,
+        0.7425,
+        0.7423,
+        0.742,
+        0.7447,
+        0.7421,
+        0.7443,
+        0.7463,
+        0.745,
+        0.7458,
+        0.7467,
+        0.7485,
+        0.747,
+        0.7475,
+        0.7478
+      ],
+      "test_acc": [
+        0.3225,
+        0.6005,
+        0.735,
+        0.7835,
+        0.799,
+        0.8105,
+        0.813,
+        0.8105,
+        0.815,
+        0.8275,
+        0.816,
+        0.8135,
+        0.8275,
+        0.8225,
+        0.8215,
+        0.819,
+        0.809,
+        0.812,
+        0.8025,
+        0.8145,
+        0.804,
+        0.7925,
+        0.7875,
+        0.7805,
+        0.771,
+        0.7595,
+        0.7835,
+        0.761,
+        0.756,
+        0.7445,
+        0.7525,
+        0.733,
+        0.722,
+        0.7035,
+        0.718,
+        0.7215,
+        0.724,
+        0.722,
+        0.718,
+        0.716,
+        0.7085,
+        0.7115,
+        0.7125,
+        0.704,
+        0.705,
+        0.711,
+        0.6985,
+        0.696,
+        0.719,
+        0.703,
+        0.6875,
+        0.708,
+        0.706,
+        0.708,
+        0.7035,
+        0.695,
+        0.6985,
+        0.6985,
+        0.702,
+        0.7065,
+        0.706,
+        0.713,
+        0.71,
+        0.7165,
+        0.705,
+        0.711,
+        0.7115,
+        0.708,
+        0.709,
+        0.7055,
+        0.707,
+        0.7125,
+        0.7065,
+        0.7095,
+        0.7125,
+        0.711,
+        0.7115,
+        0.7115,
+        0.7115,
+        0.7115
+      ],
+      "value_loss": [
+        3.1635106006622316,
+        0.7740020160675048,
+        0.6276501627922058,
+        0.5707134353637695,
+        0.5015447573661804,
+        0.4983567372083664,
+        0.5175379848480225,
+        0.547992883682251,
+        0.5898804153442383,
+        0.6042054812431336,
+        0.6014190244197846,
+        0.6637537957787514,
+        0.6845919721126557,
+        0.6927346345424652,
+        0.7124938590049744,
+        0.7445667055130005,
+        0.7623097400665283,
+        0.8733150297164917,
+        0.9832132648468017,
+        0.8608565040588378,
+        0.9329591770648956,
+        0.9217451201438904,
+        0.8799381763935089,
+        0.9203727130889893,
+        0.9129298717975617,
+        0.8228008040904998,
+        0.723678154373169,
+        0.6765096341133118,
+        0.7649027530670166,
+        0.8161859791755677,
+        0.6514515069007873,
+        0.7141245938301086,
+        0.7329993425369262,
+        0.7307948766708374,
+        0.7585475451469421,
+        0.6689410001754761,
+        0.624963953590393,
+        0.6088551391601562,
+        0.6095617308139801,
+        0.5894894409894943,
+        0.5563288737297059,
+        0.5322869329929352,
+        0.4976848304748535,
+        0.524449465751648,
+        0.5014263719558716,
+        0.4898082717895508,
+        0.46659274439811704,
+        0.5616481122970581,
+        0.4971419037818909,
+        0.4274770281791687,
+        0.46093521366119383,
+        0.4697890731334686,
+        0.43194802646636965,
+        0.4221532721042633,
+        0.4475786390304565,
+        0.42143903999328614,
+        0.4458761687278748,
+        0.45337565126419066,
+        0.4238472384929657,
+        0.40281684017181396,
+        0.38932490911483764,
+        0.3897231784820557,
+        0.38490687227249143,
+        0.38104017810821533,
+        0.3687279556751251,
+        0.3669544050216675,
+        0.36931539878845215,
+        0.36263137147426605,
+        0.349668848323822,
+        0.34732296204566954,
+        0.3342470671653748,
+        0.33395242664813996,
+        0.33387985258102415,
+        0.33358972406387327,
+        0.3530650995254517,
+        0.3312079078435898,
+        0.31177036271095276,
+        0.3145587480545044,
+        0.3253957736968994,
+        0.31588549439907077
+      ],
+      "term_loss": [
+        1.7951480650424958,
+        0.3761807126045227,
+        0.4006756747245789,
+        0.3907634472846985,
+        0.33307474012374877,
+        0.33421838104128837,
+        0.3550305375099182,
+        0.3851635645866394,
+        0.4342513330459595,
+        0.45601325892210004,
+        0.45521873558163645,
+        0.5165402359724045,
+        0.5361827510595322,
+        0.5454751461267471,
+        0.5646561876296997,
+        0.5965961949110031,
+        0.6103998653411865,
+        0.7111995510339737,
+        0.8167527445793152,
+        0.6931714932918549,
+        0.747134658908844,
+        0.7326245096206665,
+        0.6787485965967178,
+        0.7093002405881882,
+        0.6855188606858253,
+        0.595027423453331,
+        0.5057091500282288,
+        0.4579630083799362,
+        0.5400014482975006,
+        0.5755828867912293,
+        0.43018956017494203,
+        0.477418512403965,
+        0.49788543190956114,
+        0.4815887330055237,
+        0.5000800666809082,
+        0.4204012803554535,
+        0.3826768821001053,
+        0.3597612362623215,
+        0.3625356485247612,
+        0.34448800829648973,
+        0.3180155368089676,
+        0.28404023527503014,
+        0.2569198631286621,
+        0.27715443172454834,
+        0.2526350587069988,
+        0.2411904234647751,
+        0.22838947129249573,
+        0.299795917224884,
+        0.246653905916214,
+        0.191054323387146,
+        0.21536591811180114,
+        0.217297107899189,
+        0.1931860875606537,
+        0.1848979764148593,
+        0.20436019200086594,
+        0.18643514511585235,
+        0.2030245313167572,
+        0.2116449776649475,
+        0.18160687791109084,
+        0.16249994401931764,
+        0.15484164142608642,
+        0.1528463675737381,
+        0.1489361402630806,
+        0.14461671495437622,
+        0.13463031718730928,
+        0.1294142901301384,
+        0.13273104189634324,
+        0.12744402947425842,
+        0.11626906907856464,
+        0.11444123766869306,
+        0.10322715325504542,
+        0.10297624860405923,
+        0.10388474629819393,
+        0.10207910882234573,
+        0.1196654408454895,
+        0.10161699144244193,
+        0.08757407498955727,
+        0.08594336168766022,
+        0.09848421711921691,
+        0.09000624770522117
+      ],
+      "bridge_loss": [
+        1.0729727275717247,
+        0.11431841832399368,
+        0.023766263148188593,
+        0.007563671678304672,
+        0.013874480509757996,
+        0.021678775465488433,
+        0.025472599875926972,
+        0.025822595372796058,
+        0.01795407388061285,
+        0.011467179806530475,
+        0.01033123205602169,
+        0.01144010070860386,
+        0.012751704286038876,
+        0.013523769325017929,
+        0.014328493074327707,
+        0.015080985119193792,
+        0.01630606939792633,
+        0.01711897891610861,
+        0.020690989595651625,
+        0.02325695974826813,
+        0.028962209689617158,
+        0.027630632358789445,
+        0.03822321012318134,
+        0.041376910424232485,
+        0.050044859862327574,
+        0.04990889082849026,
+        0.04164786594510078,
+        0.03684647643864155,
+        0.03118742448091507,
+        0.03392234752178192,
+        0.029907469933480025,
+        0.03319982000291347,
+        0.024718015414476394,
+        0.030926838570833205,
+        0.036485740578174594,
+        0.027715866570174694,
+        0.02814151096343994,
+        0.033959431263804435,
+        0.03254524117708206,
+        0.029349126595258714,
+        0.02586204304397106,
+        0.03363803274035454,
+        0.02803821322321892,
+        0.0314576941460371,
+        0.03330667742192745,
+        0.03362447772026062,
+        0.0266525205463171,
+        0.04000154567956925,
+        0.03556216908097267,
+        0.026239325052499773,
+        0.029197816705703736,
+        0.033797084963321684,
+        0.029408058428764344,
+        0.027986173009872436,
+        0.032767310640215874,
+        0.026094853281974792,
+        0.029071284955739976,
+        0.02895135208964348,
+        0.032204047930240634,
+        0.030318710601329804,
+        0.026927110385894775,
+        0.026824868822097777,
+        0.02698569309413433,
+        0.02751481302976608,
+        0.02610580772459507,
+        0.02898943041563034,
+        0.02892138159275055,
+        0.028138772577047347,
+        0.026615089032053948,
+        0.02712062079310417,
+        0.025527843962609768,
+        0.026397538816928863,
+        0.025526897245645525,
+        0.026975207622349263,
+        0.029337245070934295,
+        0.02542050951719284,
+        0.02072744626104832,
+        0.025458942368626593,
+        0.023841479897499084,
+        0.023082720217108728
+      ],
+      "tgrad_loss": [
+        0.29538979725837705,
+        0.2835028868198395,
+        0.20320821890830992,
+        0.1723863210439682,
+        0.15459553496837616,
+        0.14245957915782928,
+        0.13703485209941865,
+        0.1370067240715027,
+        0.13767500700950622,
+        0.13672504227161408,
+        0.13586905403137206,
+        0.13577345745563507,
+        0.1356575172126293,
+        0.13373572314977647,
+        0.13350917862653733,
+        0.1328895225763321,
+        0.13560380978584288,
+        0.1449965008020401,
+        0.14576953587532043,
+        0.14442804169654846,
+        0.15686230430603026,
+        0.16148997682332994,
+        0.16296637887954712,
+        0.1696955554485321,
+        0.17736615447998047,
+        0.17786449105739593,
+        0.17632114362716675,
+        0.18170014889240266,
+        0.1937138816833496,
+        0.20668074293136596,
+        0.1913544800758362,
+        0.20350626287460327,
+        0.21039589591026306,
+        0.2182793056488037,
+        0.22198174507617952,
+        0.22082385530471801,
+        0.21414556305408478,
+        0.21513447856903076,
+        0.21448083605766297,
+        0.2156523087978363,
+        0.21245129132270812,
+        0.21460866712331772,
+        0.21272675414085387,
+        0.21583734347820283,
+        0.21548463908433915,
+        0.21499337368011476,
+        0.21155075321197508,
+        0.22185065126419068,
+        0.2149258313894272,
+        0.21018337931632997,
+        0.21637148156166078,
+        0.2186948810338974,
+        0.2093538791656494,
+        0.20926912331581116,
+        0.21045113792419434,
+        0.2089090428352356,
+        0.2137803575515747,
+        0.2127793226003647,
+        0.21003631122112273,
+        0.20999818406105042,
+        0.20755615634918212,
+        0.21005194301605223,
+        0.2089850417137146,
+        0.20890865128040315,
+        0.2079918318271637,
+        0.20855068507194519,
+        0.20766297452449797,
+        0.20704856889247894,
+        0.20678469212055206,
+        0.20576110424995422,
+        0.20549206850528717,
+        0.20457864027023315,
+        0.20446821138858795,
+        0.20453540694713593,
+        0.20406241462230681,
+        0.20417041058540344,
+        0.20346884107589722,
+        0.20315644788742065,
+        0.2030700761795044,
+        0.20279652795791625
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.08927787840366364,
+        0.2430092990398407
+      ],
+      "perturbation_rho": [
+        0.16060538589954376,
+        0.35060590505599976
+      ],
+      "nudging": {
+        "0.001": [
+          -0.004890232812613249,
+          -0.001682603731751442
+        ],
+        "0.003": [
+          -0.01459127850830555,
+          -0.005042100325226784
+        ],
+        "0.01": [
+          -0.047705113887786865,
+          -0.016734274104237556
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L4_s123.json b/results/synth_ladder_v2_lo/synth_a0.0_L4_s123.json
new file mode 100644
index 0000000..9d86d3b
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L4_s123.json
@@ -0,0 +1,1554 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.3597635933876038,
+        0.4536431095123291,
+        0.3459823863983154,
+        0.3341377299308777,
+        0.32835464673042297,
+        0.2696523241996765,
+        0.27801587681770323,
+        0.24306170365810395,
+        0.23653682124614717,
+        0.215101296377182,
+        0.2301153823494911,
+        0.20403413383960725,
+        0.20097120499610902,
+        0.22046247262954713,
+        0.2552937029838562,
+        0.21473501553535462,
+        0.21990597033500672,
+        0.19129086129665374,
+        0.212379501581192,
+        0.16677302420139312,
+        0.15547462480068205,
+        0.186291242647171,
+        0.18397651748657226,
+        0.16398042314052583,
+        0.1707391785144806,
+        0.16971807260513305,
+        0.16760108163356782,
+        0.16507963252067565,
+        0.1741574893474579,
+        0.1611321299791336,
+        0.1508718879699707,
+        0.1727994635283947,
+        0.1291253708600998,
+        0.1493298847913742,
+        0.1369689993739128,
+        0.11946097416877746,
+        0.13066255633831025,
+        0.11778032405376435,
+        0.11688732101917267,
+        0.11105217039585114,
+        0.10557443997859955,
+        0.10357953503131867,
+        0.10208219905346631,
+        0.09509066256284714,
+        0.09412468841969968,
+        0.09085212640762329,
+        0.09300690701007842,
+        0.10208991168737412,
+        0.09088193004131317,
+        0.09341149046421052,
+        0.09043532534837723,
+        0.0881039730668068,
+        0.08196499594449996,
+        0.07785149207115173,
+        0.07818879878520965,
+        0.08360754170417786,
+        0.08134148994684219,
+        0.07631582351922989,
+        0.07548105678558349,
+        0.07233029038906097,
+        0.07013705761432648,
+        0.0682597011089325,
+        0.0686048051595688,
+        0.06799649763703346,
+        0.0662772851228714,
+        0.06585792093835771,
+        0.06456468963623047,
+        0.06448650191426278,
+        0.06374172894954681,
+        0.06366113255023956,
+        0.06288158102035522,
+        0.06201381566524505,
+        0.061693436133861544,
+        0.06130597965121269,
+        0.06098243209123611,
+        0.06075502749085426,
+        0.060538161253929135,
+        0.06037251279354095,
+        0.060264147567749025,
+        0.060201747500896456
+      ],
+      "train_acc": [
+        0.5469,
+        0.8466,
+        0.8731,
+        0.8675,
+        0.8726,
+        0.8934,
+        0.8903,
+        0.9035,
+        0.9056,
+        0.9159,
+        0.9072,
+        0.9191,
+        0.9196,
+        0.9081,
+        0.8992,
+        0.9099,
+        0.9158,
+        0.9243,
+        0.9152,
+        0.9351,
+        0.9413,
+        0.9245,
+        0.9283,
+        0.9337,
+        0.9353,
+        0.9357,
+        0.9329,
+        0.9358,
+        0.931,
+        0.9387,
+        0.9413,
+        0.9337,
+        0.9518,
+        0.9419,
+        0.945,
+        0.9548,
+        0.9509,
+        0.9574,
+        0.9556,
+        0.9605,
+        0.9631,
+        0.9646,
+        0.9651,
+        0.9708,
+        0.9709,
+        0.9736,
+        0.9711,
+        0.9635,
+        0.9714,
+        0.9693,
+        0.9719,
+        0.9699,
+        0.9779,
+        0.9786,
+        0.9795,
+        0.9744,
+        0.9765,
+        0.9797,
+        0.9796,
+        0.9828,
+        0.9838,
+        0.9862,
+        0.9861,
+        0.9862,
+        0.9869,
+        0.9876,
+        0.9883,
+        0.9879,
+        0.9884,
+        0.9893,
+        0.9888,
+        0.9893,
+        0.9892,
+        0.9899,
+        0.9896,
+        0.9901,
+        0.9901,
+        0.9901,
+        0.9901,
+        0.9901
+      ],
+      "test_acc": [
+        0.803,
+        0.8665,
+        0.8645,
+        0.8795,
+        0.8855,
+        0.8825,
+        0.8945,
+        0.885,
+        0.889,
+        0.8915,
+        0.8925,
+        0.898,
+        0.905,
+        0.8975,
+        0.884,
+        0.8955,
+        0.9,
+        0.902,
+        0.902,
+        0.916,
+        0.907,
+        0.9015,
+        0.9105,
+        0.896,
+        0.9095,
+        0.916,
+        0.9225,
+        0.9055,
+        0.9095,
+        0.916,
+        0.9135,
+        0.907,
+        0.9135,
+        0.9115,
+        0.9085,
+        0.9065,
+        0.9185,
+        0.914,
+        0.914,
+        0.916,
+        0.9185,
+        0.9185,
+        0.9225,
+        0.921,
+        0.921,
+        0.9205,
+        0.9195,
+        0.9165,
+        0.9215,
+        0.926,
+        0.9245,
+        0.9255,
+        0.922,
+        0.923,
+        0.926,
+        0.9225,
+        0.9245,
+        0.9245,
+        0.9235,
+        0.922,
+        0.923,
+        0.924,
+        0.924,
+        0.924,
+        0.9255,
+        0.927,
+        0.925,
+        0.927,
+        0.925,
+        0.9265,
+        0.925,
+        0.9265,
+        0.9245,
+        0.926,
+        0.9265,
+        0.926,
+        0.9255,
+        0.926,
+        0.926,
+        0.926
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.808335542678833,
+        0.780368447303772,
+        0.7579712271690369,
+        0.7386088371276855
+      ],
+      "perturbation_rho": [
+        0.9999986886978149,
+        0.999996542930603,
+        0.9999827146530151,
+        0.9999296069145203
+      ],
+      "nudging": {
+        "0.001": [
+          -0.024415872991085052,
+          -0.010280027985572815,
+          -0.0043833074159920216,
+          -0.002259491942822933
+        ],
+        "0.003": [
+          -0.06437402963638306,
+          -0.029320701956748962,
+          -0.012876948341727257,
+          -0.006704050116240978
+        ],
+        "0.01": [
+          -0.13544964790344238,
+          -0.08136264234781265,
+          -0.039826083928346634,
+          -0.02149367332458496
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.217821652793884,
+        1.3246940484046936,
+        0.7493350847244262,
+        0.538270884513855,
+        0.44736879706382754,
+        0.3983163408279419,
+        0.39004899067878723,
+        0.3853191681861877,
+        0.41915534315109254,
+        0.39315735092163084,
+        0.47443838696479795,
+        0.4305809484481812,
+        0.4602065758705139,
+        0.4855801467895508,
+        0.544716870880127,
+        0.6184461592674255,
+        0.48602481198310854,
+        0.511720466041565,
+        0.5636395650863647,
+        0.5762063206672668,
+        0.6417800651550293,
+        0.6123115917682648,
+        0.5502352278709411,
+        0.5557829687118531,
+        0.6617294226646423,
+        0.6650739029884338,
+        0.7917305309295655,
+        0.6830677656173706,
+        0.5279762314796448,
+        0.5275279850006104,
+        0.7316341178894042,
+        0.8045071473598481,
+        0.5481081441879272,
+        0.6501041484832764,
+        0.670727561199665,
+        0.4684417116165161,
+        0.6186270072937011,
+        0.466635973739624,
+        0.5074456503868103,
+        0.5474989008903504,
+        0.6431586159706115,
+        0.5485258643150329,
+        0.5743701865196228,
+        0.6116557616233825,
+        0.49257451605796815,
+        0.45059744175672534,
+        0.442867475605011,
+        0.41883020987510683,
+        0.48730407762527467,
+        0.4751015350818634,
+        0.4839245565414429,
+        0.6619925937652588,
+        0.4038557548522949,
+        0.42862871398925784,
+        0.42465049457550047,
+        0.4021777713537216,
+        0.3575906034708023,
+        0.37100726470947265,
+        0.44350298371315,
+        0.37363572471141815,
+        0.35096964074373244,
+        0.3305072016239166,
+        0.3425370252609253,
+        0.33376783447265623,
+        0.33789163026809693,
+        0.3560477269053459,
+        0.33696223058700564,
+        0.3281270618438721,
+        0.3405058237075806,
+        0.3135561194419861,
+        0.3187324108123779,
+        0.3193257817268372,
+        0.31392969816923144,
+        0.3078404443740845,
+        0.3086083073616028,
+        0.30346697087287905,
+        0.3060754126548767,
+        0.3020245785713196,
+        0.3013403681755066,
+        0.3004632753372192
+      ],
+      "train_acc": [
+        0.1919,
+        0.5281,
+        0.7258,
+        0.7963,
+        0.8319,
+        0.8494,
+        0.8467,
+        0.8535,
+        0.8446,
+        0.8508,
+        0.8274,
+        0.8414,
+        0.8308,
+        0.8218,
+        0.8056,
+        0.7906,
+        0.8203,
+        0.8164,
+        0.8014,
+        0.801,
+        0.7813,
+        0.7929,
+        0.8008,
+        0.8026,
+        0.7794,
+        0.7745,
+        0.7558,
+        0.7777,
+        0.8133,
+        0.8094,
+        0.7677,
+        0.7531,
+        0.8023,
+        0.7904,
+        0.7811,
+        0.828,
+        0.7935,
+        0.8292,
+        0.8167,
+        0.8113,
+        0.7979,
+        0.8091,
+        0.8019,
+        0.7991,
+        0.8229,
+        0.8322,
+        0.8354,
+        0.8504,
+        0.828,
+        0.8261,
+        0.8283,
+        0.8013,
+        0.8476,
+        0.8422,
+        0.8432,
+        0.8514,
+        0.8646,
+        0.862,
+        0.8393,
+        0.8586,
+        0.8673,
+        0.8731,
+        0.8716,
+        0.8738,
+        0.8731,
+        0.8669,
+        0.8707,
+        0.8738,
+        0.8703,
+        0.8794,
+        0.8792,
+        0.8773,
+        0.8792,
+        0.8832,
+        0.8817,
+        0.8849,
+        0.8831,
+        0.8865,
+        0.8856,
+        0.8849
+      ],
+      "test_acc": [
+        0.3755,
+        0.6615,
+        0.758,
+        0.8,
+        0.807,
+        0.8035,
+        0.812,
+        0.8155,
+        0.832,
+        0.7705,
+        0.804,
+        0.799,
+        0.796,
+        0.7725,
+        0.6785,
+        0.7665,
+        0.7685,
+        0.7155,
+        0.774,
+        0.726,
+        0.68,
+        0.6745,
+        0.763,
+        0.7305,
+        0.602,
+        0.661,
+        0.627,
+        0.684,
+        0.742,
+        0.741,
+        0.6955,
+        0.773,
+        0.676,
+        0.597,
+        0.7755,
+        0.7595,
+        0.7705,
+        0.7325,
+        0.71,
+        0.716,
+        0.707,
+        0.6835,
+        0.7205,
+        0.7695,
+        0.7395,
+        0.742,
+        0.746,
+        0.7305,
+        0.768,
+        0.7255,
+        0.72,
+        0.762,
+        0.797,
+        0.749,
+        0.788,
+        0.813,
+        0.7895,
+        0.7935,
+        0.798,
+        0.8085,
+        0.8275,
+        0.8285,
+        0.8155,
+        0.8315,
+        0.814,
+        0.8125,
+        0.829,
+        0.8125,
+        0.834,
+        0.8345,
+        0.834,
+        0.833,
+        0.8285,
+        0.833,
+        0.8365,
+        0.829,
+        0.834,
+        0.8415,
+        0.8385,
+        0.8375
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.028116505593061447,
+        0.29581546783447266,
+        0.170908123254776,
+        0.12216862291097641
+      ],
+      "perturbation_rho": [
+        -0.07312458753585815,
+        0.3015226125717163,
+        0.09657395631074905,
+        0.12382403016090393
+      ],
+      "nudging": {
+        "0.001": [
+          0.0003163664659950882,
+          -0.0007488747360184789,
+          -0.0004035384044982493,
+          -0.0003090125974267721
+        ],
+        "0.003": [
+          0.000998551258817315,
+          -0.0022399011068046093,
+          -0.0012046258198097348,
+          -0.0009229769930243492
+        ],
+        "0.01": [
+          0.0038727924693375826,
+          -0.007415304891765118,
+          -0.0039948043413460255,
+          -0.0030613194685429335
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.7790241302490235,
+        0.7654216047286987,
+        0.46630783150196076,
+        0.47609069652557373,
+        0.5295370441436767,
+        0.6392696193695069,
+        0.8025703903675079,
+        0.8035835893630981,
+        0.7054816937446594,
+        0.7188894889831543,
+        0.723155996131897,
+        0.7175666692256928,
+        0.7450492376327514,
+        0.8028973734855652,
+        0.7876711024284363,
+        0.8558139623641968,
+        0.9155208786010742,
+        0.9130255826950073,
+        0.8950250951766968,
+        0.8848126942634582,
+        0.8685707977294922,
+        0.8587310639381409,
+        0.8291590257644653,
+        0.8409093645095825,
+        0.8759365214824677,
+        0.8694478960990906,
+        0.8698111413955688,
+        0.8271794857025146,
+        0.7845186081886292,
+        0.7641353513717651,
+        0.8730007939338684,
+        0.7617129602432251,
+        0.8081050999641418,
+        0.7825005729675293,
+        0.8260969108581543,
+        0.788632160949707,
+        0.785611438369751,
+        0.7567414481163025,
+        0.7519236874580383,
+        0.7204991332054138,
+        0.6952073329925537,
+        0.6957939908981323,
+        0.6553646293640136,
+        0.6512393726348877,
+        0.6812118953704834,
+        0.6507732427597046,
+        0.6394011632919312,
+        0.6314525890350342,
+        0.6011349618911743,
+        0.6011737225532532,
+        0.6056679985046387,
+        0.5851486385583877,
+        0.5611786159515381,
+        0.5698102533340454,
+        0.573320036649704,
+        0.5536427591323853,
+        0.5558445056915283,
+        0.5360203624725342,
+        0.5445126184463501,
+        0.5587158493041993,
+        0.5366106060028076,
+        0.5330157579421997,
+        0.5352685430526734,
+        0.5297672599315644,
+        0.5239216472625733,
+        0.5195175980091095,
+        0.5199703005313874,
+        0.5157433489561081,
+        0.5121160847663879,
+        0.5126092442512512,
+        0.5086378963470459,
+        0.5108375263214111,
+        0.5078012703418732,
+        0.5062523377895355,
+        0.5038812646865845,
+        0.5041313044309617,
+        0.5022756348133087,
+        0.5015905421257019,
+        0.5012978015899658,
+        0.5010596646308899
+      ],
+      "train_acc": [
+        0.3594,
+        0.7146,
+        0.8235,
+        0.8186,
+        0.8051,
+        0.7814,
+        0.7432,
+        0.7361,
+        0.7595,
+        0.7514,
+        0.7429,
+        0.74,
+        0.7308,
+        0.7178,
+        0.7278,
+        0.7089,
+        0.6963,
+        0.7038,
+        0.7026,
+        0.7037,
+        0.7077,
+        0.7078,
+        0.7158,
+        0.7134,
+        0.7102,
+        0.712,
+        0.715,
+        0.7232,
+        0.7355,
+        0.7393,
+        0.7201,
+        0.7444,
+        0.7367,
+        0.7377,
+        0.7323,
+        0.7432,
+        0.7453,
+        0.7439,
+        0.7481,
+        0.7521,
+        0.7572,
+        0.757,
+        0.7669,
+        0.7734,
+        0.7688,
+        0.7735,
+        0.7733,
+        0.7809,
+        0.7902,
+        0.7857,
+        0.7875,
+        0.7929,
+        0.7995,
+        0.7974,
+        0.7971,
+        0.8058,
+        0.8039,
+        0.8103,
+        0.8086,
+        0.8045,
+        0.8106,
+        0.8073,
+        0.8086,
+        0.8128,
+        0.8122,
+        0.8158,
+        0.8171,
+        0.8151,
+        0.8149,
+        0.8175,
+        0.8169,
+        0.8165,
+        0.8181,
+        0.8173,
+        0.82,
+        0.8182,
+        0.8196,
+        0.8202,
+        0.82,
+        0.8192
+      ],
+      "test_acc": [
+        0.61,
+        0.777,
+        0.8045,
+        0.7855,
+        0.7695,
+        0.743,
+        0.699,
+        0.728,
+        0.7265,
+        0.7325,
+        0.717,
+        0.722,
+        0.697,
+        0.725,
+        0.685,
+        0.6885,
+        0.6915,
+        0.677,
+        0.685,
+        0.6855,
+        0.671,
+        0.7015,
+        0.6895,
+        0.69,
+        0.6625,
+        0.6745,
+        0.6885,
+        0.7165,
+        0.718,
+        0.7145,
+        0.7225,
+        0.715,
+        0.7155,
+        0.7125,
+        0.72,
+        0.732,
+        0.7175,
+        0.7335,
+        0.74,
+        0.7355,
+        0.7315,
+        0.7365,
+        0.742,
+        0.731,
+        0.755,
+        0.7395,
+        0.7525,
+        0.7595,
+        0.775,
+        0.7535,
+        0.776,
+        0.773,
+        0.779,
+        0.7765,
+        0.7815,
+        0.7785,
+        0.787,
+        0.785,
+        0.784,
+        0.777,
+        0.7825,
+        0.7805,
+        0.78,
+        0.7915,
+        0.78,
+        0.7855,
+        0.784,
+        0.784,
+        0.787,
+        0.7865,
+        0.782,
+        0.79,
+        0.7875,
+        0.7845,
+        0.785,
+        0.7875,
+        0.789,
+        0.788,
+        0.788,
+        0.788
+      ],
+      "state_pred_error": [
+        0.731694634437561,
+        0.23417646443843843,
+        0.16782856330871582,
+        0.16226573445796966,
+        0.17099161510467528,
+        0.18394631323814392,
+        0.2019855978012085,
+        0.2017958946466446,
+        0.18371798615455628,
+        0.16329481868743898,
+        0.14329309587478636,
+        0.12559115798473358,
+        0.11022487533092498,
+        0.09227231090068817,
+        0.08201295229792595,
+        0.0791339715719223,
+        0.08487667949199676,
+        0.08578719186782836,
+        0.08310736228227615,
+        0.07845945283174514,
+        0.07394840196371079,
+        0.07031645606756211,
+        0.06856394438743592,
+        0.06723007636070251,
+        0.06694858776330948,
+        0.06499523911476135,
+        0.0608354157447815,
+        0.058438737750053406,
+        0.05698145393133163,
+        0.052568575745821,
+        0.050997378104925155,
+        0.05048060681819916,
+        0.05061923050284386,
+        0.050916296947002414,
+        0.05144686884880066,
+        0.049674761563539505,
+        0.04818300241231918,
+        0.04592841443419456,
+        0.04362559068500996,
+        0.04214356968998909,
+        0.040407472240924835,
+        0.0395667809009552,
+        0.03697864121794701,
+        0.035583154261112214,
+        0.034380488550662995,
+        0.033168623971939086,
+        0.03175738565921783,
+        0.030352817764878273,
+        0.02928148764371872,
+        0.028111288553476332,
+        0.027019555035233497,
+        0.025773531574010848,
+        0.024918644481897356,
+        0.02384750773906708,
+        0.022921911144256592,
+        0.02203721873164177,
+        0.021401436349749565,
+        0.020324303320050238,
+        0.01945747507214546,
+        0.019061913284659386,
+        0.018533632457256317,
+        0.01755019921064377,
+        0.017115412124991417,
+        0.01673678147494793,
+        0.016080432334542274,
+        0.015739672049880027,
+        0.014881113383173942,
+        0.014514415556192399,
+        0.014839580875635148,
+        0.013830390541255474,
+        0.013450295147299767,
+        0.013125950311124325,
+        0.01287915479838848,
+        0.012489116263389588,
+        0.012440057030320167,
+        0.012103424173593521,
+        0.011794415658712388,
+        0.011523600345849991,
+        0.011835576038062573,
+        0.011463819001615047
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8812471032142639,
+        0.4430118799209595,
+        0.14485391974449158,
+        0.12024529278278351
+      ],
+      "perturbation_rho": [
+        0.803270697593689,
+        0.4108988642692566,
+        0.12428833544254303,
+        0.13494184613227844
+      ],
+      "nudging": {
+        "0.001": [
+          -0.024419698864221573,
+          -0.0013216643128544092,
+          -0.0002967847976833582,
+          -0.00024071265943348408
+        ],
+        "0.003": [
+          -0.07050125300884247,
+          -0.003957290668040514,
+          -0.000889409682713449,
+          -0.0007224518340080976
+        ],
+        "0.01": [
+          -0.20551547408103943,
+          -0.01310029998421669,
+          -0.0029572518542408943,
+          -0.0024035971146076918
+        ]
+      },
+      "state_pred_error_per_layer": [
+        6307.859375,
+        4221.2177734375,
+        3825.8369140625,
+        3284.16064453125
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2233777091979983,
+        1.3201545307159424,
+        0.7576372374534607,
+        0.5368822441101074,
+        0.4500424364089966,
+        0.38826052474975586,
+        0.39760261478424075,
+        0.37347561759948733,
+        0.3910197820663452,
+        0.4118315992355347,
+        0.540269495010376,
+        0.42307977981567385,
+        0.5061588063240051,
+        0.4734330579280853,
+        0.4749123188257217,
+        0.5071706413269043,
+        0.5010161249160766,
+        0.6885399580955506,
+        0.544177054977417,
+        0.5456480445146561,
+        0.6398725945472717,
+        0.5177282638072968,
+        0.614991586971283,
+        0.8017618133783341,
+        0.6560545772552491,
+        0.6096531329154968,
+        0.6245969655513763,
+        0.7609677839279175,
+        0.6611320633172989,
+        0.6679078796386718,
+        0.8986292762756347,
+        1.0624667304039002,
+        1.1147180395126344,
+        1.1291320568084717,
+        1.0890060359954834,
+        0.9963282011032104,
+        0.9234770161628724,
+        0.8350841384887695,
+        0.7985178932189941,
+        0.7377351993560791,
+        0.6755618171691895,
+        0.6427918606758117,
+        0.6642848100662232,
+        0.6907006132125855,
+        0.7195065155029297,
+        0.7240495725631714,
+        0.7414470927238465,
+        0.7254366884231568,
+        0.7317997849464416,
+        0.7184565709114075,
+        0.7197928576469421,
+        0.736747712135315,
+        0.7459960594177246,
+        0.7461433578968049,
+        0.7599917417526245,
+        0.7754338600158691,
+        0.7704233293533325,
+        0.7772411148071289,
+        0.7732292792320251,
+        0.7953451323509216,
+        0.7916302759170533,
+        0.7988780770301819,
+        0.7872319763183594,
+        0.7829252526283265,
+        0.7787840461730957,
+        0.7778675572395325,
+        0.769661307477951,
+        0.758454351234436,
+        0.7563795409679412,
+        0.7561245315551758,
+        0.7567275346755982,
+        0.7507296043395996,
+        0.7509326208114624,
+        0.7505197130203247,
+        0.749734306716919,
+        0.7463954158782959,
+        0.7466216814041138,
+        0.7459904764175415,
+        0.7456792185783386,
+        0.7455195524215699
+      ],
+      "train_acc": [
+        0.1943,
+        0.5348,
+        0.7198,
+        0.799,
+        0.8296,
+        0.8514,
+        0.8485,
+        0.8563,
+        0.8515,
+        0.8431,
+        0.8126,
+        0.8404,
+        0.8209,
+        0.8292,
+        0.8287,
+        0.8186,
+        0.819,
+        0.7762,
+        0.809,
+        0.8056,
+        0.793,
+        0.8161,
+        0.7959,
+        0.7597,
+        0.7784,
+        0.7888,
+        0.7822,
+        0.7508,
+        0.7724,
+        0.7708,
+        0.7283,
+        0.7004,
+        0.6836,
+        0.6831,
+        0.689,
+        0.6989,
+        0.7143,
+        0.7324,
+        0.7395,
+        0.7549,
+        0.7631,
+        0.7728,
+        0.7685,
+        0.7624,
+        0.754,
+        0.7545,
+        0.7474,
+        0.7515,
+        0.749,
+        0.7485,
+        0.7501,
+        0.7473,
+        0.7401,
+        0.7421,
+        0.7359,
+        0.7375,
+        0.7374,
+        0.7341,
+        0.7342,
+        0.7265,
+        0.7332,
+        0.731,
+        0.7336,
+        0.733,
+        0.7325,
+        0.736,
+        0.7365,
+        0.7374,
+        0.7408,
+        0.7383,
+        0.7403,
+        0.7414,
+        0.7393,
+        0.7371,
+        0.7397,
+        0.7404,
+        0.7394,
+        0.7412,
+        0.7414,
+        0.7407
+      ],
+      "test_acc": [
+        0.3715,
+        0.648,
+        0.7525,
+        0.7905,
+        0.819,
+        0.826,
+        0.806,
+        0.8,
+        0.807,
+        0.7125,
+        0.8075,
+        0.8035,
+        0.761,
+        0.728,
+        0.7605,
+        0.7535,
+        0.6975,
+        0.7105,
+        0.679,
+        0.6655,
+        0.79,
+        0.72,
+        0.6645,
+        0.7405,
+        0.724,
+        0.7155,
+        0.7075,
+        0.744,
+        0.7375,
+        0.7115,
+        0.646,
+        0.615,
+        0.6355,
+        0.6425,
+        0.6855,
+        0.693,
+        0.6975,
+        0.7135,
+        0.7245,
+        0.7355,
+        0.744,
+        0.7495,
+        0.7445,
+        0.726,
+        0.7345,
+        0.7295,
+        0.7375,
+        0.7205,
+        0.7325,
+        0.7325,
+        0.7315,
+        0.725,
+        0.7175,
+        0.717,
+        0.7235,
+        0.722,
+        0.7205,
+        0.7155,
+        0.7065,
+        0.7145,
+        0.711,
+        0.717,
+        0.72,
+        0.7205,
+        0.714,
+        0.7105,
+        0.7145,
+        0.7235,
+        0.729,
+        0.7285,
+        0.7265,
+        0.725,
+        0.73,
+        0.728,
+        0.728,
+        0.7275,
+        0.7295,
+        0.731,
+        0.732,
+        0.7305
+      ],
+      "value_loss": [
+        2.8550353353500366,
+        0.8866892028808594,
+        0.7480095406532288,
+        0.6082758625984191,
+        0.5294733749389648,
+        0.4669463201522827,
+        0.5216086049079895,
+        0.4541858399868011,
+        0.4832085543632507,
+        0.5550105792999268,
+        0.9533118436336517,
+        0.6223780393600464,
+        0.8233321074962616,
+        0.7200716451644897,
+        0.7445190457582473,
+        0.761704793548584,
+        0.7307724816322326,
+        1.308116909313202,
+        0.847868885421753,
+        0.8612865437030792,
+        1.1462507836341858,
+        0.8061599975585938,
+        1.0712029182434082,
+        1.6493792618513108,
+        1.0849245027542114,
+        0.9315045223712921,
+        0.9024537401676178,
+        1.1654763233184815,
+        0.831434667301178,
+        0.802046495628357,
+        1.4604990215301514,
+        1.8645850904464722,
+        1.9254398429870605,
+        1.901911312484741,
+        1.908003631401062,
+        1.3320872589588166,
+        1.159297624206543,
+        1.0534205688476563,
+        1.022995594406128,
+        0.8503112316131591,
+        0.6928019966125488,
+        0.5846758200645447,
+        0.6259316144943238,
+        0.737749203491211,
+        0.7123853011608123,
+        0.7282990433692932,
+        0.7251070489883423,
+        0.6488828766226769,
+        0.6383351172924042,
+        0.5482705329895019,
+        0.5401105587005616,
+        0.6111136708259582,
+        0.6008573663949967,
+        0.5928836660385132,
+        0.587500508594513,
+        0.6057562492847443,
+        0.5744828891277314,
+        0.5471131669998169,
+        0.5470271216392517,
+        0.5842728374481201,
+        0.5563190423965454,
+        0.5892029490470886,
+        0.5781536190032959,
+        0.559272833108902,
+        0.5027279161453247,
+        0.5155309186935425,
+        0.4943126286268234,
+        0.48159287810325624,
+        0.47510195388793947,
+        0.4727193992614746,
+        0.4602918514728546,
+        0.4717276556968689,
+        0.4678098875999451,
+        0.44807784576416015,
+        0.4467434461593628,
+        0.4619509654998779,
+        0.4547319677352905,
+        0.4616655399799347,
+        0.4558076531887054,
+        0.454630423784256
+      ],
+      "term_loss": [
+        1.6017029710769652,
+        0.5620692476034165,
+        0.5624156644821167,
+        0.45781700096130373,
+        0.3847409117221832,
+        0.3312454249382019,
+        0.38407751197814943,
+        0.32735779056549075,
+        0.3551049388170242,
+        0.41827326583862307,
+        0.7827223787307739,
+        0.4792309603691101,
+        0.6631194186210633,
+        0.56457426404953,
+        0.5845303027391434,
+        0.5921518229961396,
+        0.560609471321106,
+        1.0828363707065582,
+        0.6606335117340087,
+        0.6683305771827698,
+        0.9340125537872315,
+        0.6249504384040833,
+        0.8550516845703126,
+        1.3669306713342666,
+        0.8527113088130951,
+        0.7162394056797028,
+        0.682893370962143,
+        0.9105785119056702,
+        0.6048965015590191,
+        0.5712942959785462,
+        1.1673702945709228,
+        1.5335067611694335,
+        1.5751249431610108,
+        1.5584389656066895,
+        1.5522349954605104,
+        0.9972099202394485,
+        0.8370615739822388,
+        0.754201112651825,
+        0.6871392876505852,
+        0.5123987158775329,
+        0.37408054313659667,
+        0.2995497988522053,
+        0.3503581358909607,
+        0.43231560316085815,
+        0.41566086394786833,
+        0.42524624509811404,
+        0.4210509229183197,
+        0.37233240249752997,
+        0.3575580341219902,
+        0.28671212253570555,
+        0.276478619146347,
+        0.34283951930999756,
+        0.33277941216230394,
+        0.32401346683502197,
+        0.3095528627634048,
+        0.33110152459144593,
+        0.3003123944878578,
+        0.27548920292854306,
+        0.2802939491033554,
+        0.3095864547729492,
+        0.28826558628082277,
+        0.3132749440193176,
+        0.30294250259399413,
+        0.2914313010454178,
+        0.23652310552597045,
+        0.25194979372024534,
+        0.23297107075452805,
+        0.22141846432685852,
+        0.213679298555851,
+        0.21105558428764343,
+        0.198782471460104,
+        0.21103085417747497,
+        0.20293742198944092,
+        0.18831457014083863,
+        0.18615080082416535,
+        0.19670715589523316,
+        0.19051085848808288,
+        0.19064104088544845,
+        0.18662560603618622,
+        0.185297670173645
+      ],
+      "bridge_loss": [
+        0.9507376404299052,
+        0.07687758333981037,
+        0.010045724719017744,
+        0.007879937368631363,
+        0.01797304810285568,
+        0.022158381700515747,
+        0.01883206216990948,
+        0.013739564181864262,
+        0.009246241227537394,
+        0.00828621684461832,
+        0.013158259350061416,
+        0.009157512763142585,
+        0.008230384607613087,
+        0.010887455415725708,
+        0.01082873924607411,
+        0.011825704242289067,
+        0.011146052476763726,
+        0.020588019510917367,
+        0.014733550934493541,
+        0.018946828547120095,
+        0.0171926746442914,
+        0.012086341893672943,
+        0.02020258846729994,
+        0.04198084568008781,
+        0.020474260175228118,
+        0.017216893035918474,
+        0.016566254922747613,
+        0.02010813295543194,
+        0.011718014118075371,
+        0.009661335621774196,
+        0.014811528635025025,
+        0.025247243924438955,
+        0.02885524544119835,
+        0.02420730111002922,
+        0.04327671680450439,
+        0.041912767720222475,
+        0.05198930660188198,
+        0.04971838068962097,
+        0.0946202084183693,
+        0.10887049219608307,
+        0.09956775677204133,
+        0.07377382544577121,
+        0.05807075983285904,
+        0.07968466079235077,
+        0.06396899864077568,
+        0.07015788811445237,
+        0.0661502730846405,
+        0.04226519621908665,
+        0.04419996572732925,
+        0.02805532423853874,
+        0.02968351852297783,
+        0.03154238290339708,
+        0.030124809206277133,
+        0.030319892784953117,
+        0.03490727263391018,
+        0.029208701252937317,
+        0.030425633952021598,
+        0.027547460222244264,
+        0.02228509824424982,
+        0.025416205316781997,
+        0.020846416425704957,
+        0.025860949020087717,
+        0.029329672813415527,
+        0.02281882424093783,
+        0.02173859670162201,
+        0.02062494530826807,
+        0.019635991206765176,
+        0.021509875628352167,
+        0.024021596324443818,
+        0.02360761443376541,
+        0.023896243134140967,
+        0.024439388674497603,
+        0.028702323484420776,
+        0.022215539541840554,
+        0.02425522618293762,
+        0.029845060449838638,
+        0.029500862574577333,
+        0.03606419536471367,
+        0.03410082252025604,
+        0.03432008520960808
+      ],
+      "tgrad_loss": [
+        0.3025947289943695,
+        0.24774237773418425,
+        0.17554815773963928,
+        0.14257892484664916,
+        0.12675941741466523,
+        0.11354251420497895,
+        0.11869904023408889,
+        0.11308848708868027,
+        0.11885737178325653,
+        0.12845109815597533,
+        0.15743120503425598,
+        0.1339895663022995,
+        0.1519823107242584,
+        0.14460992698669434,
+        0.14916000380814076,
+        0.1577272620677948,
+        0.15901696157455444,
+        0.2046925228357315,
+        0.17250181584358215,
+        0.17400914220809938,
+        0.19504555777311325,
+        0.16912321989536286,
+        0.19594864068031312,
+        0.2404677330493927,
+        0.21173893311023712,
+        0.1980482220649719,
+        0.20299411978721618,
+        0.23478967311382293,
+        0.21482015360593795,
+        0.22109085936546324,
+        0.27831719441413877,
+        0.3058310720920563,
+        0.32145967130661013,
+        0.3192650461196899,
+        0.31249191117286684,
+        0.29296456089019773,
+        0.27024675250053404,
+        0.2495010799407959,
+        0.24123610022068023,
+        0.2290420253276825,
+        0.21915370206832885,
+        0.21135219641923905,
+        0.21750271730422974,
+        0.22574893996715545,
+        0.23275544457435607,
+        0.23289490954875947,
+        0.2379058575630188,
+        0.23428526936769486,
+        0.23657712292671204,
+        0.23350308730602265,
+        0.23394841928482055,
+        0.23673176517486572,
+        0.2379531442165375,
+        0.23855031342506408,
+        0.2430403748035431,
+        0.2454460260629654,
+        0.24374487085342408,
+        0.24407650451660157,
+        0.24444807255268097,
+        0.24927017650604247,
+        0.24720704221725465,
+        0.25006705377101895,
+        0.245881445145607,
+        0.24502270793914796,
+        0.24446621508598326,
+        0.24295618000030517,
+        0.24170556166172028,
+        0.23866453852653505,
+        0.23740106127262114,
+        0.23805620374679565,
+        0.23761313960552216,
+        0.23625741076469423,
+        0.2361701448917389,
+        0.23754773426055908,
+        0.23633741874694825,
+        0.23539874830245971,
+        0.2347202454328537,
+        0.234960302066803,
+        0.23508122134208678,
+        0.2350126650452614
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.03434538468718529,
+        0.12379913777112961,
+        0.1433446854352951,
+        0.13808263838291168
+      ],
+      "perturbation_rho": [
+        0.03924814611673355,
+        0.21971622109413147,
+        0.26409071683883667,
+        0.20994533598423004
+      ],
+      "nudging": {
+        "0.001": [
+          -0.002085629850625992,
+          -0.000930527166929096,
+          -0.0010337861021980643,
+          -0.0009522428154014051
+        ],
+        "0.003": [
+          -0.00620113592594862,
+          -0.002788654062896967,
+          -0.00309766735881567,
+          -0.002854354679584503
+        ],
+        "0.01": [
+          -0.020018436014652252,
+          -0.00925234891474247,
+          -0.010285570286214352,
+          -0.009476927109062672
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L4_s42.json b/results/synth_ladder_v2_lo/synth_a0.0_L4_s42.json
new file mode 100644
index 0000000..ea8fed5
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L4_s42.json
@@ -0,0 +1,1554 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.393444329071045,
+        0.4656594688892364,
+        0.3387208812713623,
+        0.3310880187511444,
+        0.2834443459033966,
+        0.274416100025177,
+        0.27555663251876833,
+        0.2919650815010071,
+        0.27522954301834107,
+        0.23417099084854126,
+        0.25085752539634704,
+        0.23627781853675842,
+        0.22855967761278154,
+        0.18523962483406067,
+        0.21957328805923462,
+        0.21457258567810059,
+        0.1951643503189087,
+        0.2028646148085594,
+        0.17204643013477325,
+        0.1741173769235611,
+        0.17967198448181151,
+        0.2015627604007721,
+        0.18227966165542603,
+        0.1597546272277832,
+        0.18108189311623574,
+        0.13940092482566835,
+        0.17725008516311647,
+        0.16082020609378814,
+        0.14163353414535523,
+        0.18069012370109558,
+        0.13981632175445557,
+        0.17373259100914,
+        0.14335163850188257,
+        0.11797005029916763,
+        0.1098598550081253,
+        0.12287375556230545,
+        0.11599228973388671,
+        0.13744940540790557,
+        0.11864437719583511,
+        0.10169189417362214,
+        0.11369898817539215,
+        0.11818749423027039,
+        0.12267465643882751,
+        0.10739170112609864,
+        0.10322156901359558,
+        0.09787526609897614,
+        0.09492687509059906,
+        0.09019990837574005,
+        0.09442386355400086,
+        0.08670992460250855,
+        0.08388052983283996,
+        0.09170566325187683,
+        0.08163954379558563,
+        0.0846316162109375,
+        0.07659096655249596,
+        0.07475700554847717,
+        0.07641377507448197,
+        0.07337763814926147,
+        0.072775554728508,
+        0.0721108490049839,
+        0.06907813559770584,
+        0.06751610193252564,
+        0.06612331621646882,
+        0.06645804003477096,
+        0.06647891576737165,
+        0.06381897580623627,
+        0.06374451096057891,
+        0.06368994359970093,
+        0.06230272837877274,
+        0.06174979591369629,
+        0.061164255321025846,
+        0.06092808446884155,
+        0.06049565544426441,
+        0.05998984745144844,
+        0.05971836262345314,
+        0.05945266941785812,
+        0.0592673523157835,
+        0.059102416515350344,
+        0.05901545432806015,
+        0.058958782851696014
+      ],
+      "train_acc": [
+        0.5424,
+        0.8445,
+        0.872,
+        0.8691,
+        0.8872,
+        0.8945,
+        0.8899,
+        0.8867,
+        0.8926,
+        0.908,
+        0.9016,
+        0.9067,
+        0.9102,
+        0.9315,
+        0.9151,
+        0.915,
+        0.923,
+        0.9194,
+        0.9324,
+        0.9339,
+        0.931,
+        0.9216,
+        0.9259,
+        0.9363,
+        0.927,
+        0.9478,
+        0.9299,
+        0.9384,
+        0.9472,
+        0.9319,
+        0.9471,
+        0.9343,
+        0.9444,
+        0.9583,
+        0.9624,
+        0.957,
+        0.9581,
+        0.949,
+        0.9573,
+        0.9665,
+        0.9617,
+        0.9571,
+        0.9557,
+        0.9597,
+        0.9643,
+        0.9678,
+        0.9689,
+        0.9725,
+        0.9692,
+        0.9744,
+        0.9771,
+        0.9728,
+        0.9764,
+        0.9742,
+        0.9821,
+        0.9815,
+        0.9798,
+        0.9822,
+        0.983,
+        0.9823,
+        0.9865,
+        0.986,
+        0.9874,
+        0.9871,
+        0.9859,
+        0.9891,
+        0.9891,
+        0.9885,
+        0.9899,
+        0.9905,
+        0.9909,
+        0.9915,
+        0.9915,
+        0.9914,
+        0.9918,
+        0.992,
+        0.9922,
+        0.9921,
+        0.9923,
+        0.9924
+      ],
+      "test_acc": [
+        0.806,
+        0.8735,
+        0.8755,
+        0.8855,
+        0.8975,
+        0.8865,
+        0.8865,
+        0.8855,
+        0.896,
+        0.897,
+        0.9005,
+        0.901,
+        0.9055,
+        0.9075,
+        0.895,
+        0.905,
+        0.903,
+        0.8995,
+        0.9155,
+        0.91,
+        0.912,
+        0.909,
+        0.9155,
+        0.9125,
+        0.9175,
+        0.909,
+        0.913,
+        0.9085,
+        0.917,
+        0.913,
+        0.9215,
+        0.9195,
+        0.919,
+        0.9195,
+        0.923,
+        0.919,
+        0.9155,
+        0.9115,
+        0.926,
+        0.92,
+        0.9215,
+        0.922,
+        0.9235,
+        0.921,
+        0.921,
+        0.921,
+        0.922,
+        0.9245,
+        0.9255,
+        0.93,
+        0.924,
+        0.923,
+        0.926,
+        0.9225,
+        0.9265,
+        0.925,
+        0.9255,
+        0.923,
+        0.9235,
+        0.925,
+        0.929,
+        0.925,
+        0.923,
+        0.9235,
+        0.9275,
+        0.9245,
+        0.924,
+        0.924,
+        0.925,
+        0.925,
+        0.925,
+        0.9245,
+        0.925,
+        0.926,
+        0.925,
+        0.925,
+        0.9255,
+        0.9255,
+        0.9255,
+        0.925
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8599773645401001,
+        0.8422204256057739,
+        0.8250665664672852,
+        0.8009470701217651
+      ],
+      "perturbation_rho": [
+        0.9999991655349731,
+        0.9999953508377075,
+        0.9999807476997375,
+        0.9999338984489441
+      ],
+      "nudging": {
+        "0.001": [
+          -0.021187957376241684,
+          -0.008892672136425972,
+          -0.003854521783068776,
+          -0.002078109886497259
+        ],
+        "0.003": [
+          -0.05588283762335777,
+          -0.02533331699669361,
+          -0.01131636556237936,
+          -0.006165246479213238
+        ],
+        "0.01": [
+          -0.12188813835382462,
+          -0.07056954503059387,
+          -0.034971628338098526,
+          -0.019762540236115456
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.2351631088256836,
+        1.2604516805648804,
+        0.6909901732444763,
+        0.5023803288459778,
+        0.4199826082229614,
+        0.3939720664024353,
+        0.36745505712032317,
+        0.36464036779403686,
+        0.36945423431396485,
+        0.37754397621154784,
+        0.41259857263565064,
+        0.3929980557441711,
+        0.3836580101966858,
+        0.42829677181243897,
+        0.45100361251831056,
+        0.4771954530715942,
+        0.45615267324447634,
+        0.47997308826446533,
+        0.519016338443756,
+        0.4339796148777008,
+        0.48482293429374695,
+        0.4760143366098404,
+        0.41006571016311644,
+        0.4283779393434525,
+        0.4630606350660324,
+        0.4736118658065796,
+        0.47070072836875915,
+        0.5205575771808624,
+        0.43153712959289553,
+        0.6288577288150787,
+        0.49815777282714846,
+        0.5681126009941101,
+        0.4582767408490181,
+        0.4725220314502716,
+        0.4469193904876709,
+        0.4821565442085266,
+        0.4843693884849548,
+        0.5006482328891754,
+        0.44061602096557617,
+        0.4250831531524658,
+        0.4099806285858154,
+        0.4905092445373535,
+        0.5239814792633056,
+        0.43106476440429686,
+        0.42259651679992677,
+        0.4021846671104431,
+        0.41326967359781264,
+        0.36481091504096985,
+        0.3732275875091553,
+        0.38772435383796694,
+        0.3595582166671753,
+        0.4164277789950371,
+        0.3571169295310974,
+        0.3573374299049377,
+        0.3340035634994507,
+        0.3495286958694458,
+        0.34169850187301637,
+        0.36254877605438235,
+        0.3357857964515686,
+        0.3260487530708313,
+        0.3146523279190063,
+        0.32904662322998046,
+        0.3236200043678284,
+        0.3109028839111328,
+        0.30532244243621826,
+        0.3066009913444519,
+        0.29923178367614744,
+        0.31248617701530457,
+        0.30051798222064974,
+        0.29083643901348116,
+        0.289837948679924,
+        0.28680111265182495,
+        0.2866984937429428,
+        0.284077316904068,
+        0.2823953621149063,
+        0.2806439053058624,
+        0.28072562822103503,
+        0.27919705109596255,
+        0.2788663013458252,
+        0.2786029499530792
+      ],
+      "train_acc": [
+        0.1823,
+        0.5598,
+        0.7406,
+        0.8059,
+        0.8373,
+        0.8477,
+        0.857,
+        0.8613,
+        0.859,
+        0.8612,
+        0.8538,
+        0.8613,
+        0.8658,
+        0.857,
+        0.8547,
+        0.8475,
+        0.8567,
+        0.8558,
+        0.8472,
+        0.864,
+        0.854,
+        0.8592,
+        0.8691,
+        0.8692,
+        0.8595,
+        0.8599,
+        0.8604,
+        0.8496,
+        0.8638,
+        0.8323,
+        0.8575,
+        0.8423,
+        0.8613,
+        0.8581,
+        0.8604,
+        0.855,
+        0.852,
+        0.8511,
+        0.8644,
+        0.8643,
+        0.8698,
+        0.8532,
+        0.8413,
+        0.8641,
+        0.8633,
+        0.8688,
+        0.8668,
+        0.8784,
+        0.8777,
+        0.8732,
+        0.8802,
+        0.8646,
+        0.8806,
+        0.8813,
+        0.8854,
+        0.8824,
+        0.8856,
+        0.876,
+        0.8839,
+        0.8899,
+        0.8921,
+        0.8875,
+        0.8856,
+        0.8889,
+        0.8933,
+        0.8918,
+        0.8969,
+        0.8906,
+        0.8936,
+        0.8976,
+        0.8998,
+        0.8993,
+        0.8996,
+        0.899,
+        0.8987,
+        0.9003,
+        0.8989,
+        0.9013,
+        0.9017,
+        0.9017
+      ],
+      "test_acc": [
+        0.3805,
+        0.658,
+        0.763,
+        0.8055,
+        0.802,
+        0.799,
+        0.8135,
+        0.83,
+        0.818,
+        0.818,
+        0.8195,
+        0.821,
+        0.822,
+        0.7695,
+        0.8265,
+        0.821,
+        0.8265,
+        0.8005,
+        0.8295,
+        0.8195,
+        0.8175,
+        0.837,
+        0.825,
+        0.7865,
+        0.813,
+        0.783,
+        0.7715,
+        0.7985,
+        0.767,
+        0.8315,
+        0.782,
+        0.82,
+        0.819,
+        0.8365,
+        0.777,
+        0.8205,
+        0.7815,
+        0.7855,
+        0.8065,
+        0.823,
+        0.835,
+        0.774,
+        0.805,
+        0.812,
+        0.8135,
+        0.813,
+        0.837,
+        0.834,
+        0.841,
+        0.8225,
+        0.8385,
+        0.8245,
+        0.8455,
+        0.8425,
+        0.8365,
+        0.8515,
+        0.8475,
+        0.8555,
+        0.847,
+        0.854,
+        0.854,
+        0.836,
+        0.8465,
+        0.843,
+        0.853,
+        0.848,
+        0.8515,
+        0.849,
+        0.8545,
+        0.8535,
+        0.8525,
+        0.8535,
+        0.853,
+        0.854,
+        0.855,
+        0.855,
+        0.855,
+        0.8565,
+        0.8555,
+        0.856
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.004014266654849052,
+        0.16519895195960999,
+        0.13244280219078064,
+        0.11504888534545898
+      ],
+      "perturbation_rho": [
+        0.042726192623376846,
+        0.18379396200180054,
+        0.108277827501297,
+        0.03345024213194847
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0005973952356725931,
+          -0.0005849459557794034,
+          -0.00033618923043832183,
+          -0.0002846581628546119
+        ],
+        "0.003": [
+          -0.0017661447636783123,
+          -0.0017487092409282923,
+          -0.0010064283851534128,
+          -0.0008522539865225554
+        ],
+        "0.01": [
+          -0.005573366768658161,
+          -0.005793239921331406,
+          -0.003338021691888571,
+          -0.002831015270203352
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.8313716026306153,
+        0.7926182842254639,
+        0.46973575134277346,
+        0.48155548248291014,
+        0.5448596946716309,
+        0.6645664943695069,
+        0.7318389461517334,
+        0.7279546222686768,
+        0.7492408039093018,
+        0.7303381389141083,
+        0.7058333037376404,
+        0.7079017165184021,
+        0.7165615272521972,
+        0.7146007489204407,
+        0.7339236400604248,
+        0.7427304380893708,
+        0.760910213470459,
+        0.8237569445610047,
+        0.7993208209991455,
+        0.8246796663284301,
+        0.8065732408523559,
+        0.8133731035232544,
+        0.7934063248634339,
+        0.8101628801345825,
+        0.8197265989303589,
+        0.8273739593505859,
+        0.8092071041584015,
+        0.7728347238540649,
+        0.7805830051422119,
+        0.7523685384750366,
+        0.6997231612205506,
+        0.7115532672405243,
+        0.6899057216644288,
+        0.7243086003780365,
+        0.7161950044155121,
+        0.6915306072235108,
+        0.7306950844287873,
+        0.7001749244689941,
+        0.7435074928283691,
+        0.7183393833160401,
+        0.6917117639541626,
+        0.6912902464389801,
+        0.7219114833831787,
+        0.7060039350509644,
+        0.7032419225692749,
+        0.7001213099002838,
+        0.6712141176223755,
+        0.6735524456977844,
+        0.6646129000663757,
+        0.6637430681228638,
+        0.6549304262876511,
+        0.6523052272796631,
+        0.6376511907577515,
+        0.6561032221794129,
+        0.6557626156806946,
+        0.6385821124076844,
+        0.6371082330703736,
+        0.622728742980957,
+        0.6358778423309326,
+        0.6097657412528992,
+        0.5984001077651978,
+        0.6008862220764161,
+        0.6019291736602783,
+        0.5893378508806228,
+        0.5775623394012451,
+        0.5764101420402526,
+        0.5693036109924317,
+        0.5785774702072144,
+        0.5725307025909424,
+        0.5699037223815918,
+        0.5678042579650879,
+        0.5655107064247131,
+        0.5588490388393402,
+        0.5583755543708802,
+        0.5569040360450744,
+        0.555097555732727,
+        0.5553366912841797,
+        0.5538557461977005,
+        0.5529845510482788,
+        0.5527793859481811
+      ],
+      "train_acc": [
+        0.3425,
+        0.7013,
+        0.8169,
+        0.8155,
+        0.8002,
+        0.7747,
+        0.7521,
+        0.7467,
+        0.7366,
+        0.7402,
+        0.7432,
+        0.7511,
+        0.7483,
+        0.7529,
+        0.7435,
+        0.7501,
+        0.7443,
+        0.7278,
+        0.737,
+        0.729,
+        0.7347,
+        0.7305,
+        0.7339,
+        0.7327,
+        0.7272,
+        0.7248,
+        0.7394,
+        0.7436,
+        0.7445,
+        0.7497,
+        0.7621,
+        0.7597,
+        0.7682,
+        0.7574,
+        0.7627,
+        0.7629,
+        0.7527,
+        0.7656,
+        0.7528,
+        0.7589,
+        0.7652,
+        0.7627,
+        0.7557,
+        0.7562,
+        0.7584,
+        0.7611,
+        0.7712,
+        0.7672,
+        0.7691,
+        0.77,
+        0.7688,
+        0.7715,
+        0.7805,
+        0.7717,
+        0.7726,
+        0.7796,
+        0.7806,
+        0.784,
+        0.7781,
+        0.7916,
+        0.7943,
+        0.7897,
+        0.788,
+        0.7945,
+        0.7966,
+        0.7954,
+        0.7997,
+        0.7948,
+        0.7941,
+        0.7979,
+        0.7973,
+        0.7998,
+        0.8028,
+        0.8015,
+        0.8024,
+        0.8021,
+        0.8017,
+        0.8049,
+        0.8036,
+        0.8043
+      ],
+      "test_acc": [
+        0.582,
+        0.7605,
+        0.805,
+        0.7815,
+        0.7585,
+        0.739,
+        0.7315,
+        0.7055,
+        0.709,
+        0.716,
+        0.7225,
+        0.7035,
+        0.714,
+        0.7025,
+        0.6895,
+        0.71,
+        0.682,
+        0.684,
+        0.6935,
+        0.6815,
+        0.663,
+        0.6735,
+        0.6475,
+        0.6625,
+        0.687,
+        0.691,
+        0.691,
+        0.6855,
+        0.708,
+        0.711,
+        0.7175,
+        0.7135,
+        0.7035,
+        0.7,
+        0.702,
+        0.7015,
+        0.719,
+        0.69,
+        0.722,
+        0.7085,
+        0.711,
+        0.6865,
+        0.7155,
+        0.693,
+        0.727,
+        0.717,
+        0.726,
+        0.7125,
+        0.734,
+        0.7355,
+        0.7235,
+        0.721,
+        0.7245,
+        0.703,
+        0.7315,
+        0.7205,
+        0.733,
+        0.735,
+        0.745,
+        0.7455,
+        0.742,
+        0.7425,
+        0.757,
+        0.754,
+        0.7545,
+        0.754,
+        0.7585,
+        0.753,
+        0.7545,
+        0.755,
+        0.7585,
+        0.7635,
+        0.758,
+        0.76,
+        0.762,
+        0.763,
+        0.759,
+        0.76,
+        0.762,
+        0.7615
+      ],
+      "state_pred_error": [
+        0.738724960899353,
+        0.23754536838531495,
+        0.17166675362586975,
+        0.16519432184696198,
+        0.17659714086055756,
+        0.1853035955429077,
+        0.18247937891483307,
+        0.1752823434829712,
+        0.16551947779655457,
+        0.15197912480831147,
+        0.14014595470428468,
+        0.12900954908132553,
+        0.11189029586315155,
+        0.09048521988391876,
+        0.07707659014463425,
+        0.06862674397230148,
+        0.0619474271774292,
+        0.057251011681556704,
+        0.05508155573606491,
+        0.053471049499511716,
+        0.05379626307487488,
+        0.05419672028422356,
+        0.052421370673179625,
+        0.049650419402122496,
+        0.047358448946475985,
+        0.04709382080435753,
+        0.04492674662470818,
+        0.04099081097245216,
+        0.038694602066278456,
+        0.03637899459600449,
+        0.035295955044031144,
+        0.03464271750450134,
+        0.03390544964671135,
+        0.0339607761323452,
+        0.03294503695368767,
+        0.03164411043822765,
+        0.030480435860157012,
+        0.030075301492214202,
+        0.028113591521978377,
+        0.027257576552033425,
+        0.02627144229412079,
+        0.026506870889663695,
+        0.024739411950111388,
+        0.02403323279619217,
+        0.023340081292390822,
+        0.022683567291498185,
+        0.021613040015101434,
+        0.020623113670945166,
+        0.01925096574127674,
+        0.018227936267852782,
+        0.017412171779572962,
+        0.01633626956343651,
+        0.015502833461761475,
+        0.01486019978672266,
+        0.014131347727775573,
+        0.013682181715965271,
+        0.013298307892680168,
+        0.012884229637682439,
+        0.01228856347501278,
+        0.012014592817425727,
+        0.011584452259540558,
+        0.011723892691731453,
+        0.011077864146232606,
+        0.010830551779270172,
+        0.01048019336760044,
+        0.010463275627046823,
+        0.010006480371952058,
+        0.010270701536536217,
+        0.009520307847857476,
+        0.009370259954035282,
+        0.009139169569313526,
+        0.009051338295638561,
+        0.0087209147721529,
+        0.0086469930768013,
+        0.00830997234582901,
+        0.008232304611802101,
+        0.00801251590847969,
+        0.007979873966425657,
+        0.007716833171993494,
+        0.0075651704967021945
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8646283149719238,
+        0.4090673327445984,
+        0.1404263973236084,
+        0.114067442715168
+      ],
+      "perturbation_rho": [
+        0.7375176548957825,
+        0.33617356419563293,
+        0.14259827136993408,
+        0.06911392509937286
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02527385950088501,
+          -0.0013827341608703136,
+          -0.0003888161154463887,
+          -0.00030949554638937116
+        ],
+        "0.003": [
+          -0.07343459129333496,
+          -0.004140978213399649,
+          -0.0011658729054033756,
+          -0.0009282166138291359
+        ],
+        "0.01": [
+          -0.218303382396698,
+          -0.013712376356124878,
+          -0.003879058640450239,
+          -0.0030895976815372705
+        ]
+      },
+      "state_pred_error_per_layer": [
+        6951.521484375,
+        6099.5322265625,
+        5877.8310546875,
+        3832.076416015625
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.235261058425903,
+        1.262081871986389,
+        0.6915569072723389,
+        0.4963927393436432,
+        0.41897850689888,
+        0.3801000884056091,
+        0.3732742650032043,
+        0.360334720993042,
+        0.40119956569671633,
+        0.40856367979049685,
+        0.39234666719436645,
+        0.38830075261592867,
+        0.42427587156295776,
+        0.39181271744966506,
+        0.3884301266908646,
+        0.40899407005310057,
+        0.5711139780521393,
+        0.44214163110256194,
+        0.5412520337820053,
+        0.5265979358673095,
+        0.6395262619018555,
+        0.6767067618846894,
+        0.8079449705123901,
+        0.8860318534851074,
+        0.7464127262115479,
+        0.8458122653961182,
+        0.8400936029434204,
+        0.8388831905364991,
+        0.7874737511634826,
+        0.8481869525909423,
+        0.9002291926383972,
+        0.8685866487503052,
+        0.9101456764221192,
+        0.8837849536895752,
+        0.972322064781189,
+        0.9345996368408203,
+        0.9418193544387817,
+        1.0260784551620483,
+        0.9719976706504821,
+        0.9391058128356934,
+        0.9489206720352172,
+        0.9835691333770752,
+        0.967494802236557,
+        0.9707959476470948,
+        1.0399179498672486,
+        1.0601639880180358,
+        0.985697636795044,
+        1.008144894504547,
+        1.0092436389923096,
+        1.0680249240875244,
+        1.0354044677734375,
+        1.0328852564811706,
+        1.015745788383484,
+        1.0277701950073241,
+        1.0103555604934693,
+        1.0488319797515868,
+        1.0303876429557801,
+        1.0285811204433442,
+        1.0417894123077394,
+        1.0004704116821288,
+        1.0626476989746094,
+        0.9951508989334107,
+        1.0081708417892457,
+        0.9910860794067383,
+        0.9883740512847901,
+        0.9812014641761779,
+        0.9917335124969482,
+        0.9694048974990844,
+        0.9646705657958984,
+        0.9635228799819946,
+        0.9591471391677856,
+        0.9535331716537475,
+        0.9531492277145386,
+        0.9459964708328247,
+        0.9468160850524903,
+        0.9449826847076416,
+        0.9444061769485473,
+        0.9419779738426208,
+        0.940774139881134,
+        0.9405258314132691
+      ],
+      "train_acc": [
+        0.1859,
+        0.5571,
+        0.7419,
+        0.8077,
+        0.8355,
+        0.854,
+        0.8566,
+        0.8623,
+        0.8544,
+        0.8542,
+        0.8635,
+        0.863,
+        0.8534,
+        0.8702,
+        0.8695,
+        0.8666,
+        0.8423,
+        0.8592,
+        0.8456,
+        0.8478,
+        0.8218,
+        0.8173,
+        0.7867,
+        0.777,
+        0.7871,
+        0.7663,
+        0.7597,
+        0.7502,
+        0.7552,
+        0.7402,
+        0.7275,
+        0.7264,
+        0.7154,
+        0.721,
+        0.7022,
+        0.7062,
+        0.7027,
+        0.6832,
+        0.689,
+        0.6948,
+        0.6911,
+        0.68,
+        0.6843,
+        0.6828,
+        0.6613,
+        0.6613,
+        0.6731,
+        0.669,
+        0.6672,
+        0.6584,
+        0.6651,
+        0.6658,
+        0.6648,
+        0.6609,
+        0.661,
+        0.6587,
+        0.6615,
+        0.6583,
+        0.6597,
+        0.6641,
+        0.6535,
+        0.6622,
+        0.6598,
+        0.6636,
+        0.6656,
+        0.6651,
+        0.6674,
+        0.6666,
+        0.6709,
+        0.6665,
+        0.6731,
+        0.6714,
+        0.673,
+        0.6717,
+        0.6727,
+        0.6728,
+        0.6735,
+        0.6738,
+        0.6744,
+        0.6741
+      ],
+      "test_acc": [
+        0.384,
+        0.66,
+        0.757,
+        0.791,
+        0.815,
+        0.826,
+        0.7975,
+        0.8165,
+        0.8125,
+        0.799,
+        0.83,
+        0.8025,
+        0.8145,
+        0.822,
+        0.808,
+        0.8145,
+        0.8015,
+        0.8145,
+        0.8205,
+        0.785,
+        0.8,
+        0.744,
+        0.738,
+        0.764,
+        0.7405,
+        0.713,
+        0.729,
+        0.7045,
+        0.7025,
+        0.7025,
+        0.677,
+        0.6385,
+        0.721,
+        0.592,
+        0.627,
+        0.694,
+        0.6495,
+        0.6515,
+        0.637,
+        0.6755,
+        0.6155,
+        0.673,
+        0.6715,
+        0.628,
+        0.6315,
+        0.6485,
+        0.635,
+        0.62,
+        0.5955,
+        0.622,
+        0.636,
+        0.63,
+        0.637,
+        0.643,
+        0.6265,
+        0.6445,
+        0.6375,
+        0.6175,
+        0.649,
+        0.6255,
+        0.656,
+        0.652,
+        0.643,
+        0.644,
+        0.6555,
+        0.6575,
+        0.647,
+        0.6605,
+        0.656,
+        0.6575,
+        0.6565,
+        0.661,
+        0.655,
+        0.6575,
+        0.664,
+        0.657,
+        0.663,
+        0.6585,
+        0.6585,
+        0.6585
+      ],
+      "value_loss": [
+        2.789435099697113,
+        0.8181893708229065,
+        0.7272053227424622,
+        0.5833633841991425,
+        0.5203261951446533,
+        0.487560515499115,
+        0.5104867960453033,
+        0.5071568609237671,
+        0.7265350058555603,
+        0.6770524631500244,
+        0.6544264476060867,
+        0.6184350404918194,
+        0.82130862698555,
+        0.7288621360361576,
+        0.6920311128377914,
+        0.7491695034027099,
+        1.436285315656662,
+        0.9137073722839355,
+        1.3024319067001342,
+        1.1969394775390625,
+        1.5527768714904786,
+        1.7683637444019318,
+        2.1371090829849244,
+        2.7897338537216188,
+        1.7251617815971374,
+        2.1219203945159912,
+        1.8316284656524657,
+        1.6271437129974364,
+        1.533262328338623,
+        1.4435790887832642,
+        1.425470267868042,
+        1.2025170761942863,
+        1.3155294904232024,
+        1.1143611429214477,
+        1.2226881009578705,
+        1.4462114141464233,
+        1.0543560623168946,
+        1.0660594150543212,
+        0.9147385849952697,
+        0.8270027490615844,
+        0.8281644924163818,
+        1.0131224609851837,
+        0.8204657958984375,
+        0.7915476408958435,
+        1.0112078512191773,
+        0.9825851963043213,
+        0.7297250129699707,
+        0.7310111741065979,
+        0.8675759086608886,
+        0.8777669506072998,
+        0.7935477031707764,
+        0.7559813811302185,
+        0.6910819556236267,
+        0.7187119407653808,
+        0.7091325038909913,
+        0.8288764345169067,
+        0.6835856030464172,
+        0.696506120300293,
+        0.7955103742599487,
+        0.6248370735168457,
+        0.7264847853183747,
+        0.6357070183992386,
+        0.6640777275085449,
+        0.6200332149505615,
+        0.6066704128265381,
+        0.6134613354206085,
+        0.624502198600769,
+        0.5682870136260987,
+        0.5714269968986512,
+        0.5611187159061432,
+        0.560384591293335,
+        0.5337265998840331,
+        0.518946839427948,
+        0.5066715524673462,
+        0.5192569964408874,
+        0.5218038980484009,
+        0.515819926071167,
+        0.5021115490913391,
+        0.5022512309074402,
+        0.5270826056480408
+      ],
+      "term_loss": [
+        1.6281806005001067,
+        0.5260812068939209,
+        0.5574779790878296,
+        0.4467624794960022,
+        0.38560171570777896,
+        0.35132181377410887,
+        0.3726922478437424,
+        0.3839768423080444,
+        0.5983181779623031,
+        0.5458563985824585,
+        0.5328782257556915,
+        0.49554837535619733,
+        0.6895202607631683,
+        0.6041087128341198,
+        0.5711961905956269,
+        0.622646349143982,
+        1.2603772453427315,
+        0.773075110912323,
+        1.1336991445064544,
+        1.0312418762207032,
+        1.3463582670211791,
+        1.5365228524684906,
+        1.8501261821746826,
+        2.4006380270242693,
+        1.451894647026062,
+        1.8385419921875,
+        1.5503413744926453,
+        1.348254576587677,
+        1.2533037424087525,
+        1.162389670753479,
+        1.1130255826950073,
+        0.9006625356771052,
+        1.0001833762645722,
+        0.8168405591964721,
+        0.9015608322620392,
+        1.099498508644104,
+        0.723140911102295,
+        0.7195442680358887,
+        0.5906892456054688,
+        0.5117025557518006,
+        0.5222296411037445,
+        0.6893843678474426,
+        0.5126559923410415,
+        0.47389315984249114,
+        0.6742367547988891,
+        0.6494622436523437,
+        0.42108994102478026,
+        0.42529633424282076,
+        0.5564227697372437,
+        0.562213070678711,
+        0.4802745559692383,
+        0.4539243455886841,
+        0.3954838166773319,
+        0.41656764430999754,
+        0.407904678440094,
+        0.5054427813529968,
+        0.3801931502342224,
+        0.3841923901736736,
+        0.47365911989212034,
+        0.32998718037605285,
+        0.4120689484864473,
+        0.334956028342247,
+        0.3557816318035126,
+        0.31811208209991454,
+        0.3048724256515503,
+        0.31001371720433235,
+        0.3186835240840912,
+        0.27292693586349487,
+        0.2744087711334228,
+        0.26349675579071047,
+        0.26173307815790176,
+        0.24325768327713013,
+        0.22855849746465684,
+        0.21712086362838745,
+        0.2279037822365761,
+        0.22775145735740662,
+        0.2218828114748001,
+        0.21318944548368454,
+        0.2103438462257385,
+        0.22659661755561827
+      ],
+      "bridge_loss": [
+        0.8669556872836547,
+        0.06360601794421673,
+        0.008560461984574795,
+        0.005917139887809754,
+        0.01696948218345642,
+        0.025800688429176807,
+        0.02753051795810461,
+        0.015897551971673966,
+        0.012487161195278167,
+        0.011549899433553218,
+        0.009167527516558766,
+        0.010144380106031895,
+        0.012813932079076768,
+        0.014643209081888198,
+        0.012564446350932122,
+        0.013087814033031464,
+        0.0355284596927464,
+        0.019168835720419882,
+        0.028831265807896852,
+        0.029531528568267823,
+        0.04496059722006321,
+        0.05906419792771339,
+        0.08262725896835327,
+        0.17684709503650664,
+        0.07839597351551056,
+        0.07206453119516373,
+        0.06329247436523437,
+        0.05826105718612671,
+        0.06393873658180237,
+        0.05167575533390045,
+        0.06876316456794739,
+        0.06094803668484092,
+        0.06672434015274048,
+        0.05214060747623444,
+        0.059061125856637954,
+        0.0942545708656311,
+        0.0740616250872612,
+        0.07541715958714486,
+        0.06009064224362373,
+        0.05432415052056313,
+        0.044301791000366214,
+        0.05619173694849014,
+        0.04468392983227968,
+        0.05211084792613983,
+        0.056994534659385684,
+        0.0499825501203537,
+        0.036443243896961214,
+        0.032711439895629885,
+        0.0384589661359787,
+        0.0338902623295784,
+        0.03647522128820419,
+        0.02619726200699806,
+        0.02073877650052309,
+        0.025440873777866364,
+        0.026828269357979297,
+        0.04103488396704197,
+        0.027947768175601958,
+        0.03465887205153704,
+        0.04586356149315834,
+        0.023804297626018524,
+        0.03421685046106577,
+        0.031679686503112314,
+        0.03704538420438767,
+        0.03376271347999573,
+        0.032853434824943545,
+        0.037378453141450885,
+        0.03849537320137024,
+        0.031244005316495894,
+        0.033646199870109555,
+        0.033860014009475706,
+        0.036484488779306413,
+        0.029376127362251283,
+        0.03004473757147789,
+        0.03032349246442318,
+        0.03176274458765983,
+        0.03554704558849335,
+        0.03567317904829979,
+        0.030595304039120676,
+        0.033694784569740295,
+        0.04233165686130524
+      ],
+      "tgrad_loss": [
+        0.29429881639480593,
+        0.22850215055942535,
+        0.161166881275177,
+        0.13068375954627992,
+        0.11775499715805053,
+        0.11043801250457763,
+        0.11026402975320816,
+        0.1072824667930603,
+        0.11572966387271881,
+        0.1196461637020111,
+        0.11238069614171982,
+        0.11274228993058205,
+        0.11897443695068359,
+        0.1101102095194161,
+        0.10827047473788261,
+        0.11343533954620362,
+        0.1403796047925949,
+        0.12146342446804047,
+        0.13990149824619294,
+        0.13616608276367187,
+        0.16145800683498382,
+        0.17277670335769654,
+        0.20435564041137697,
+        0.2122487030506134,
+        0.19487117614746094,
+        0.2113138470888138,
+        0.21799462871551514,
+        0.22062808697223663,
+        0.21601984961032866,
+        0.2295136512517929,
+        0.2436815215110779,
+        0.24090649601221084,
+        0.24862176179885864,
+        0.24537998490333557,
+        0.2620661392688751,
+        0.2524583529949188,
+        0.25715352358818055,
+        0.27109798228740695,
+        0.26395870418548584,
+        0.26097603678703307,
+        0.2616330534219742,
+        0.26754635171890256,
+        0.26312588040828705,
+        0.26554363651275636,
+        0.27997655792236326,
+        0.283140408372879,
+        0.27219182567596434,
+        0.273003400182724,
+        0.2726941707611084,
+        0.28166362385749816,
+        0.2767979258060455,
+        0.27585977494716646,
+        0.27485936024188995,
+        0.27670341873168947,
+        0.27439955916404724,
+        0.28239877376556394,
+        0.2754446792840958,
+        0.2776548579931259,
+        0.2759876941680908,
+        0.2710455940723419,
+        0.2801989861369133,
+        0.26907129883766173,
+        0.27125071516036986,
+        0.2681584177017212,
+        0.26894454793930056,
+        0.2660691703081131,
+        0.2673233015060425,
+        0.26411607012748717,
+        0.26337203187942504,
+        0.2637619474411011,
+        0.2621670220375061,
+        0.2610927885055542,
+        0.2603436091423035,
+        0.2592271981239319,
+        0.2595904722213745,
+        0.2585053967475891,
+        0.25826393089294436,
+        0.2583268014431,
+        0.2582126024246216,
+        0.25815433073043825
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.049023956060409546,
+        0.11911389231681824,
+        0.12341275811195374,
+        0.14533579349517822
+      ],
+      "perturbation_rho": [
+        0.09633419662714005,
+        0.23598268628120422,
+        0.24357257783412933,
+        0.28465405106544495
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0026640507858246565,
+          -0.0008936430094763637,
+          -0.0009184350492432714,
+          -0.0010046247625723481
+        ],
+        "0.003": [
+          -0.00795636884868145,
+          -0.002677815966308117,
+          -0.0027562258765101433,
+          -0.00301147997379303
+        ],
+        "0.01": [
+          -0.026128236204385757,
+          -0.008897590450942516,
+          -0.009167088195681572,
+          -0.01000890415161848
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L4_s456.json b/results/synth_ladder_v2_lo/synth_a0.0_L4_s456.json
new file mode 100644
index 0000000..7650767
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L4_s456.json
@@ -0,0 +1,1554 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.3731443418502807,
+        0.45537459869384767,
+        0.35577080373764036,
+        0.31175249495506285,
+        0.27360669269561766,
+        0.2810947861671448,
+        0.24048879499435424,
+        0.24676378889083864,
+        0.2759784088134766,
+        0.24307160301208497,
+        0.26237674512863157,
+        0.23416826553344727,
+        0.2248387837409973,
+        0.21073892421722412,
+        0.24063232788443564,
+        0.1794070078253746,
+        0.16393975179195405,
+        0.17630366325974464,
+        0.1611418173789978,
+        0.18589975430965425,
+        0.19959153530597687,
+        0.18609004082679748,
+        0.2101752697944641,
+        0.18727956137657165,
+        0.18735633269548416,
+        0.15335247926712037,
+        0.15109058359861374,
+        0.13571504959762096,
+        0.1245847250699997,
+        0.14161244950294494,
+        0.1458503407716751,
+        0.13648778162002564,
+        0.15326098034381866,
+        0.13605039689540863,
+        0.14244712383747102,
+        0.12564499164819717,
+        0.12560201988220215,
+        0.123886791780591,
+        0.10236743612289428,
+        0.1362798055291176,
+        0.12099106664657593,
+        0.10914861574172974,
+        0.12570393970012664,
+        0.10449062542915344,
+        0.10824102314710617,
+        0.09449664130806923,
+        0.08988672842979431,
+        0.09423538935184479,
+        0.086681573843956,
+        0.08409314980506898,
+        0.09122710851430893,
+        0.08288905795812607,
+        0.07891612914800644,
+        0.08072301609516144,
+        0.07801145380735397,
+        0.07551923055648804,
+        0.08653738065361977,
+        0.07552462376207113,
+        0.07158097697496414,
+        0.06908470562696457,
+        0.07035302019119263,
+        0.0688866972208023,
+        0.06807387411594391,
+        0.06748173639774323,
+        0.06727217892408371,
+        0.06582817186415195,
+        0.0644117630302906,
+        0.06337794905900955,
+        0.06335201333165169,
+        0.06263100127875805,
+        0.061897891375422474,
+        0.06139995861053467,
+        0.061135529518127445,
+        0.06082992137670517,
+        0.060517309045791626,
+        0.06032120343446731,
+        0.06014305528700352,
+        0.05998744894862175,
+        0.059879496657848356,
+        0.05982443904429674
+      ],
+      "train_acc": [
+        0.5436,
+        0.8483,
+        0.8663,
+        0.8784,
+        0.8941,
+        0.8913,
+        0.9035,
+        0.905,
+        0.8901,
+        0.9066,
+        0.8969,
+        0.9066,
+        0.909,
+        0.9154,
+        0.9038,
+        0.9302,
+        0.9381,
+        0.9348,
+        0.9379,
+        0.9263,
+        0.9193,
+        0.9257,
+        0.9166,
+        0.9258,
+        0.9252,
+        0.9404,
+        0.9411,
+        0.9484,
+        0.9558,
+        0.9448,
+        0.9436,
+        0.9492,
+        0.941,
+        0.9459,
+        0.9449,
+        0.9524,
+        0.9517,
+        0.9544,
+        0.9659,
+        0.9472,
+        0.9539,
+        0.9594,
+        0.9519,
+        0.9626,
+        0.9611,
+        0.9693,
+        0.9708,
+        0.9683,
+        0.9725,
+        0.9741,
+        0.972,
+        0.9759,
+        0.9773,
+        0.9767,
+        0.9781,
+        0.9808,
+        0.9724,
+        0.9803,
+        0.9835,
+        0.9843,
+        0.9837,
+        0.9842,
+        0.9845,
+        0.9851,
+        0.9866,
+        0.9865,
+        0.9873,
+        0.9891,
+        0.9886,
+        0.9882,
+        0.9892,
+        0.9897,
+        0.9899,
+        0.9895,
+        0.9902,
+        0.9903,
+        0.9903,
+        0.9903,
+        0.9905,
+        0.9904
+      ],
+      "test_acc": [
+        0.8105,
+        0.863,
+        0.8775,
+        0.8835,
+        0.8925,
+        0.891,
+        0.887,
+        0.8875,
+        0.894,
+        0.9015,
+        0.8975,
+        0.8955,
+        0.895,
+        0.898,
+        0.8995,
+        0.9105,
+        0.9045,
+        0.91,
+        0.9115,
+        0.9025,
+        0.899,
+        0.908,
+        0.8935,
+        0.903,
+        0.911,
+        0.917,
+        0.9115,
+        0.918,
+        0.914,
+        0.917,
+        0.9165,
+        0.923,
+        0.922,
+        0.911,
+        0.9185,
+        0.9145,
+        0.9095,
+        0.917,
+        0.9165,
+        0.914,
+        0.918,
+        0.919,
+        0.919,
+        0.9215,
+        0.919,
+        0.926,
+        0.925,
+        0.927,
+        0.927,
+        0.928,
+        0.9255,
+        0.928,
+        0.9295,
+        0.9275,
+        0.931,
+        0.9255,
+        0.929,
+        0.929,
+        0.9295,
+        0.929,
+        0.9285,
+        0.928,
+        0.928,
+        0.927,
+        0.9275,
+        0.927,
+        0.927,
+        0.93,
+        0.9285,
+        0.9285,
+        0.9285,
+        0.9275,
+        0.928,
+        0.9285,
+        0.929,
+        0.9285,
+        0.9285,
+        0.9285,
+        0.9285,
+        0.9285
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8268355131149292,
+        0.7960893511772156,
+        0.7726784944534302,
+        0.758276104927063
+      ],
+      "perturbation_rho": [
+        0.9999993443489075,
+        0.999996542930603,
+        0.999983549118042,
+        0.9999449253082275
+      ],
+      "nudging": {
+        "0.001": [
+          -0.025982849299907684,
+          -0.011168255470693111,
+          -0.004903188906610012,
+          -0.00263153831474483
+        ],
+        "0.003": [
+          -0.0689958781003952,
+          -0.031877096742391586,
+          -0.014398043975234032,
+          -0.0078039406798779964
+        ],
+        "0.01": [
+          -0.15056422352790833,
+          -0.08916378021240234,
+          -0.04451071470975876,
+          -0.024980343878269196
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.224132486343384,
+        1.301893235874176,
+        0.7188028474807739,
+        0.5128707235813141,
+        0.42812706022262575,
+        0.37687723331451417,
+        0.36274061586856843,
+        0.37224565534591675,
+        0.409719740486145,
+        0.363206641292572,
+        0.4132363173484802,
+        0.3830319176673889,
+        0.4377296754837036,
+        0.5042400701522827,
+        0.4587587996959686,
+        0.40405231256484986,
+        0.4265386765956879,
+        0.46920745529383423,
+        0.4496193967103958,
+        0.5309565215110779,
+        0.47508658266067505,
+        0.5223682291030883,
+        0.5833926257848739,
+        0.4541007481098175,
+        0.486807417678833,
+        0.6768758428573608,
+        0.6182225590750575,
+        0.44827224477529526,
+        0.4793268074035644,
+        0.5156525156021118,
+        0.6022252152085305,
+        0.5234319113731384,
+        0.579210432434082,
+        0.6143261737346649,
+        0.5015040687561035,
+        0.5146571145176887,
+        0.445119722366333,
+        0.5691154903054237,
+        0.448343026638031,
+        0.4685825558662415,
+        0.4096014291524887,
+        0.5122244827270508,
+        0.6234302169322967,
+        0.45217046575546266,
+        0.47220536499023436,
+        0.4531041558265686,
+        0.4435129361629486,
+        0.41575306297540665,
+        0.3937792213439941,
+        0.41530909223556517,
+        0.3755643924176693,
+        0.3749552250266075,
+        0.3837516236305237,
+        0.4414386757850647,
+        0.37744559860229493,
+        0.3851316329956055,
+        0.4645349792003632,
+        0.3641450496673584,
+        0.33832284042835237,
+        0.3521949558258057,
+        0.3619681317090988,
+        0.32718548822402954,
+        0.3552513185501099,
+        0.3407223903656006,
+        0.35497476048469545,
+        0.33103148469924926,
+        0.3239391952753067,
+        0.3205251240491867,
+        0.3142642366409302,
+        0.3211916448712349,
+        0.31001556646823886,
+        0.30832804889678955,
+        0.30703437480926515,
+        0.30306859114170076,
+        0.3034073314666748,
+        0.30061344475746155,
+        0.2995585773333907,
+        0.2981973441004753,
+        0.29732816677093504,
+        0.29705501853227617
+      ],
+      "train_acc": [
+        0.1974,
+        0.5468,
+        0.7323,
+        0.8055,
+        0.8397,
+        0.8578,
+        0.8597,
+        0.8554,
+        0.8508,
+        0.8621,
+        0.8543,
+        0.8596,
+        0.8544,
+        0.8409,
+        0.8505,
+        0.8624,
+        0.8606,
+        0.8605,
+        0.8591,
+        0.849,
+        0.8606,
+        0.8512,
+        0.847,
+        0.8642,
+        0.8642,
+        0.8388,
+        0.8457,
+        0.8726,
+        0.8708,
+        0.8639,
+        0.8488,
+        0.8655,
+        0.8584,
+        0.8527,
+        0.8736,
+        0.8691,
+        0.879,
+        0.8616,
+        0.8812,
+        0.8705,
+        0.8883,
+        0.8723,
+        0.8579,
+        0.8837,
+        0.877,
+        0.8811,
+        0.8823,
+        0.89,
+        0.8942,
+        0.8841,
+        0.898,
+        0.8937,
+        0.8918,
+        0.8832,
+        0.8939,
+        0.8931,
+        0.8814,
+        0.8987,
+        0.9038,
+        0.9009,
+        0.8973,
+        0.9057,
+        0.9007,
+        0.9047,
+        0.8983,
+        0.9058,
+        0.9078,
+        0.9061,
+        0.9088,
+        0.9077,
+        0.9092,
+        0.9088,
+        0.9106,
+        0.9119,
+        0.9088,
+        0.9119,
+        0.9103,
+        0.9118,
+        0.9119,
+        0.9122
+      ],
+      "test_acc": [
+        0.403,
+        0.649,
+        0.7545,
+        0.7955,
+        0.8085,
+        0.8145,
+        0.8085,
+        0.822,
+        0.819,
+        0.816,
+        0.7925,
+        0.7795,
+        0.768,
+        0.797,
+        0.8135,
+        0.816,
+        0.811,
+        0.7945,
+        0.778,
+        0.8085,
+        0.8,
+        0.811,
+        0.7915,
+        0.797,
+        0.777,
+        0.7965,
+        0.8235,
+        0.809,
+        0.82,
+        0.82,
+        0.792,
+        0.787,
+        0.814,
+        0.8055,
+        0.8135,
+        0.833,
+        0.7875,
+        0.8145,
+        0.819,
+        0.826,
+        0.8285,
+        0.7855,
+        0.827,
+        0.8245,
+        0.8305,
+        0.844,
+        0.8395,
+        0.83,
+        0.8305,
+        0.837,
+        0.8445,
+        0.8275,
+        0.8325,
+        0.842,
+        0.853,
+        0.821,
+        0.831,
+        0.848,
+        0.85,
+        0.8495,
+        0.845,
+        0.858,
+        0.8535,
+        0.856,
+        0.8565,
+        0.859,
+        0.8565,
+        0.8555,
+        0.862,
+        0.857,
+        0.8585,
+        0.8565,
+        0.8635,
+        0.8615,
+        0.862,
+        0.864,
+        0.8635,
+        0.8655,
+        0.8655,
+        0.8655
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.012256121262907982,
+        0.07949584722518921,
+        0.0787847638130188,
+        0.09904449433088303
+      ],
+      "perturbation_rho": [
+        -0.003950485959649086,
+        0.06165219843387604,
+        0.14469987154006958,
+        0.16344788670539856
+      ],
+      "nudging": {
+        "0.001": [
+          0.00019160524243488908,
+          -0.0005540554411709309,
+          -0.0002737665781751275,
+          -0.0003133100690320134
+        ],
+        "0.003": [
+          0.0006248276331461966,
+          -0.0016580942319706082,
+          -0.0008215569541789591,
+          -0.0009416901739314198
+        ],
+        "0.01": [
+          0.002696676878258586,
+          -0.005506287328898907,
+          -0.0027312645688652992,
+          -0.003131583333015442
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.7803834889411927,
+        0.732652216053009,
+        0.45487410321235655,
+        0.4741226222038269,
+        0.5595431688308716,
+        0.6150015846252441,
+        0.6448732872009277,
+        0.7614690663337708,
+        0.7527310195922852,
+        0.6854381818771362,
+        0.69789430103302,
+        0.7211309887886047,
+        0.7422091772079468,
+        0.771403307723999,
+        0.7684701559066772,
+        0.7899860233306885,
+        0.785915501832962,
+        0.7849839227676392,
+        0.7681392771720886,
+        0.7435544511795044,
+        0.751194825553894,
+        0.7936021596908569,
+        0.7802497886657714,
+        0.780384884262085,
+        0.7791699929237366,
+        0.7584754270553589,
+        0.8155371535301208,
+        0.7780845603942871,
+        0.7793395760059356,
+        0.7373061706542968,
+        0.7489152907371521,
+        0.7263450141906739,
+        0.7460742810249329,
+        0.6866057529449463,
+        0.7141902516365052,
+        0.703807559967041,
+        0.7199574493408203,
+        0.7092751522064209,
+        0.6616440784454346,
+        0.6884374785423278,
+        0.6783149375915527,
+        0.6543091285705567,
+        0.6953400015354156,
+        0.6466015434265137,
+        0.6512385541915894,
+        0.6394664388656616,
+        0.6508148580551147,
+        0.6421753215789795,
+        0.6408709971427917,
+        0.659412619304657,
+        0.6453365729808808,
+        0.6413490727424621,
+        0.6515926889896393,
+        0.6426593520641327,
+        0.6448210357666015,
+        0.6461298638343811,
+        0.6379973960399627,
+        0.6365840391635895,
+        0.6462472536087036,
+        0.6423500331401825,
+        0.6288489917755127,
+        0.6368016141891479,
+        0.6358265670776367,
+        0.6384655450820923,
+        0.631528349018097,
+        0.6209217232704163,
+        0.6202675918579101,
+        0.6212863056182861,
+        0.614168495464325,
+        0.6118847620964051,
+        0.6091739875793457,
+        0.6087853524208069,
+        0.6050858163833618,
+        0.603250790977478,
+        0.6008227246522904,
+        0.6006201690673828,
+        0.5996918613433838,
+        0.5988774878025055,
+        0.5984367890357971,
+        0.5981314883232117
+      ],
+      "train_acc": [
+        0.3598,
+        0.7233,
+        0.8271,
+        0.8268,
+        0.8049,
+        0.7872,
+        0.7751,
+        0.7489,
+        0.745,
+        0.7539,
+        0.7478,
+        0.7413,
+        0.7351,
+        0.7251,
+        0.7302,
+        0.7287,
+        0.7275,
+        0.7273,
+        0.7377,
+        0.7392,
+        0.7399,
+        0.7321,
+        0.7351,
+        0.7354,
+        0.7407,
+        0.748,
+        0.7371,
+        0.7431,
+        0.7437,
+        0.7604,
+        0.7542,
+        0.76,
+        0.7521,
+        0.7689,
+        0.7628,
+        0.7629,
+        0.7559,
+        0.7656,
+        0.7767,
+        0.7703,
+        0.7741,
+        0.7826,
+        0.7689,
+        0.7867,
+        0.782,
+        0.7838,
+        0.7823,
+        0.784,
+        0.7867,
+        0.7803,
+        0.7829,
+        0.7858,
+        0.7799,
+        0.7847,
+        0.7848,
+        0.7865,
+        0.7889,
+        0.7883,
+        0.7786,
+        0.7867,
+        0.7864,
+        0.7874,
+        0.7889,
+        0.7865,
+        0.7892,
+        0.7911,
+        0.7941,
+        0.7912,
+        0.7911,
+        0.7912,
+        0.7945,
+        0.796,
+        0.7962,
+        0.7951,
+        0.7976,
+        0.7975,
+        0.7968,
+        0.7959,
+        0.7968,
+        0.7965
+      ],
+      "test_acc": [
+        0.602,
+        0.757,
+        0.81,
+        0.7795,
+        0.771,
+        0.7595,
+        0.7525,
+        0.7185,
+        0.7265,
+        0.7125,
+        0.7215,
+        0.7035,
+        0.6955,
+        0.696,
+        0.671,
+        0.689,
+        0.655,
+        0.676,
+        0.694,
+        0.692,
+        0.682,
+        0.6875,
+        0.684,
+        0.677,
+        0.695,
+        0.6915,
+        0.708,
+        0.6805,
+        0.705,
+        0.689,
+        0.7165,
+        0.7085,
+        0.7085,
+        0.7135,
+        0.6955,
+        0.7125,
+        0.7225,
+        0.723,
+        0.6925,
+        0.736,
+        0.728,
+        0.7205,
+        0.726,
+        0.746,
+        0.731,
+        0.721,
+        0.735,
+        0.737,
+        0.731,
+        0.741,
+        0.7455,
+        0.731,
+        0.744,
+        0.743,
+        0.7445,
+        0.749,
+        0.7415,
+        0.749,
+        0.74,
+        0.746,
+        0.742,
+        0.7375,
+        0.751,
+        0.7475,
+        0.7455,
+        0.739,
+        0.744,
+        0.747,
+        0.744,
+        0.743,
+        0.7435,
+        0.745,
+        0.747,
+        0.7455,
+        0.7465,
+        0.747,
+        0.746,
+        0.746,
+        0.7455,
+        0.7455
+      ],
+      "state_pred_error": [
+        0.7301947330474854,
+        0.2293994782924652,
+        0.15949859266281127,
+        0.15117296252250673,
+        0.15491236505508424,
+        0.16152297229766846,
+        0.16639477663040161,
+        0.16297674663066863,
+        0.1474767792701721,
+        0.13462664729356766,
+        0.1192866288304329,
+        0.10311011584997178,
+        0.08718618566989898,
+        0.07007366203069687,
+        0.059906782633066175,
+        0.05418295328617096,
+        0.05250892471075058,
+        0.053210784059762956,
+        0.05376021633148193,
+        0.0505560393512249,
+        0.04665645271539688,
+        0.04122237099409103,
+        0.035260846930742266,
+        0.029457686340808868,
+        0.02472122933268547,
+        0.020959654900431633,
+        0.018036982771754265,
+        0.01579355520308018,
+        0.014835753314197063,
+        0.013916902904212474,
+        0.013557420775294303,
+        0.013417310911417008,
+        0.013456771358847618,
+        0.013404925701022148,
+        0.013516017714142799,
+        0.013791045615077019,
+        0.013860506749153137,
+        0.013912296595424414,
+        0.01376565940529108,
+        0.01364058257341385,
+        0.016863438057899475,
+        0.013605340698361397,
+        0.01336009669303894,
+        0.013293599289655686,
+        0.01339816378504038,
+        0.01297538487315178,
+        0.012990520419180394,
+        0.012765769854187965,
+        0.012577315384149551,
+        0.012284608180820942,
+        0.012003655248880387,
+        0.011748795488476753,
+        0.011465166535973549,
+        0.011208864139020443,
+        0.010971895548701286,
+        0.010833216698467731,
+        0.010546348862349987,
+        0.010316753853857517,
+        0.01005659337937832,
+        0.009844934567809105,
+        0.009683808153867721,
+        0.009427979576587676,
+        0.009225837172567844,
+        0.009161983558535576,
+        0.008829943571984768,
+        0.008661615046858787,
+        0.008553683330118656,
+        0.008285431960225105,
+        0.008538309474289418,
+        0.007964446505904197,
+        0.007747227008640766,
+        0.0076069540724158285,
+        0.007299331539869308,
+        0.007200139582157135,
+        0.007046559315174818,
+        0.006977505052089691,
+        0.006643858262896538,
+        0.006649243193119764,
+        0.006426095798611641,
+        0.006344281244277954
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8436356782913208,
+        0.46039146184921265,
+        0.16277557611465454,
+        0.13905379176139832
+      ],
+      "perturbation_rho": [
+        0.7277628183364868,
+        0.48849108815193176,
+        0.1771586537361145,
+        0.09970887005329132
+      ],
+      "nudging": {
+        "0.001": [
+          -0.027422115206718445,
+          -0.0018765792483463883,
+          -0.0004788438673131168,
+          -0.0003904813784174621
+        ],
+        "0.003": [
+          -0.07989989221096039,
+          -0.0056180888786911964,
+          -0.001435610232874751,
+          -0.0011701165931299329
+        ],
+        "0.01": [
+          -0.2401106357574463,
+          -0.018598388880491257,
+          -0.004775169305503368,
+          -0.0038934119511395693
+        ]
+      },
+      "state_pred_error_per_layer": [
+        3442.556884765625,
+        2195.27490234375,
+        2035.546875,
+        2293.3291015625
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.21667213973999,
+        1.3028536838531495,
+        0.7136714351654053,
+        0.5170062650680542,
+        0.428484773182869,
+        0.3893401426315308,
+        0.3633166349887848,
+        0.3759902914404869,
+        0.3800179394721985,
+        0.374489461517334,
+        0.41736346807479857,
+        0.4102055465698242,
+        0.4892664265632629,
+        0.4714547214508057,
+        0.4549084837436676,
+        0.4638775846004486,
+        0.4697629602909088,
+        0.5410322017669678,
+        0.455058971118927,
+        0.5534555526733398,
+        0.5718941131830215,
+        0.5692951575756073,
+        0.7074480386734009,
+        0.8779852552890778,
+        0.7194037189483643,
+        0.7017252969741822,
+        0.7141246451377868,
+        0.8214343783378601,
+        0.860213596200943,
+        0.8622452178955078,
+        0.9510571762084961,
+        0.9425890031814576,
+        0.9824190010070801,
+        1.0797506145477296,
+        0.9800792013168335,
+        0.9507031625747681,
+        1.0324596477508545,
+        0.9877136844635009,
+        1.00947436542511,
+        1.0367300788879394,
+        1.0976514343261718,
+        1.1145684359550476,
+        1.1553843279838563,
+        1.1054404956817627,
+        1.1235701330184937,
+        1.104157660484314,
+        1.084609769821167,
+        1.0474918176651,
+        1.0699964389801024,
+        1.1043497201919557,
+        1.1458708742141723,
+        1.1705602006912232,
+        1.1516906476974487,
+        1.1598484769821167,
+        1.1815660175323486,
+        1.2148106037139892,
+        1.2095819049835206,
+        1.1930717593193054,
+        1.2089854690551758,
+        1.2108521512985229,
+        1.1752276388168335,
+        1.1807297292709351,
+        1.1614444935798645,
+        1.1496624534606934,
+        1.1391552867889405,
+        1.1303464347839356,
+        1.1392961274147033,
+        1.1198745210647583,
+        1.107233187866211,
+        1.1058051456451417,
+        1.1052214641571045,
+        1.103658806848526,
+        1.0945639568328858,
+        1.0903655527114868,
+        1.0888818534851075,
+        1.0861711362838744,
+        1.0846550971984863,
+        1.083442396068573,
+        1.082554894256592,
+        1.0821752315998077
+      ],
+      "train_acc": [
+        0.1941,
+        0.539,
+        0.7388,
+        0.8041,
+        0.837,
+        0.8521,
+        0.8595,
+        0.8565,
+        0.8598,
+        0.8592,
+        0.8536,
+        0.8592,
+        0.8407,
+        0.8492,
+        0.8514,
+        0.8502,
+        0.8553,
+        0.8478,
+        0.8617,
+        0.8493,
+        0.8419,
+        0.8356,
+        0.8135,
+        0.7864,
+        0.8069,
+        0.8035,
+        0.79,
+        0.7629,
+        0.7469,
+        0.7452,
+        0.718,
+        0.7185,
+        0.7087,
+        0.6877,
+        0.7011,
+        0.7004,
+        0.687,
+        0.6925,
+        0.6908,
+        0.6827,
+        0.6795,
+        0.6783,
+        0.6698,
+        0.6789,
+        0.6776,
+        0.6689,
+        0.6723,
+        0.6756,
+        0.6708,
+        0.6601,
+        0.6588,
+        0.6492,
+        0.6589,
+        0.6555,
+        0.6509,
+        0.6513,
+        0.651,
+        0.6547,
+        0.6524,
+        0.6504,
+        0.6618,
+        0.6563,
+        0.6608,
+        0.6593,
+        0.6637,
+        0.667,
+        0.6641,
+        0.6633,
+        0.6724,
+        0.6698,
+        0.6683,
+        0.6682,
+        0.6699,
+        0.6721,
+        0.6704,
+        0.6736,
+        0.6716,
+        0.6722,
+        0.6723,
+        0.6729
+      ],
+      "test_acc": [
+        0.415,
+        0.662,
+        0.754,
+        0.7975,
+        0.793,
+        0.7945,
+        0.817,
+        0.811,
+        0.8205,
+        0.8045,
+        0.8105,
+        0.7925,
+        0.81,
+        0.799,
+        0.7945,
+        0.8085,
+        0.8125,
+        0.812,
+        0.815,
+        0.773,
+        0.7865,
+        0.7505,
+        0.7205,
+        0.7745,
+        0.7635,
+        0.726,
+        0.7075,
+        0.641,
+        0.663,
+        0.654,
+        0.659,
+        0.598,
+        0.603,
+        0.6775,
+        0.662,
+        0.609,
+        0.667,
+        0.663,
+        0.662,
+        0.6265,
+        0.621,
+        0.623,
+        0.653,
+        0.6325,
+        0.6035,
+        0.661,
+        0.655,
+        0.644,
+        0.6515,
+        0.6325,
+        0.608,
+        0.6305,
+        0.624,
+        0.6245,
+        0.622,
+        0.6345,
+        0.6375,
+        0.6435,
+        0.611,
+        0.629,
+        0.633,
+        0.6365,
+        0.638,
+        0.6355,
+        0.634,
+        0.637,
+        0.6385,
+        0.643,
+        0.637,
+        0.635,
+        0.6355,
+        0.6385,
+        0.6425,
+        0.6395,
+        0.641,
+        0.643,
+        0.645,
+        0.6455,
+        0.642,
+        0.644
+      ],
+      "value_loss": [
+        2.98627366771698,
+        0.8837935139656067,
+        0.7089252394676209,
+        0.5627537595748902,
+        0.4647229739665985,
+        0.4527482861757278,
+        0.42183804416656495,
+        0.44746375745534894,
+        0.5015264921665191,
+        0.5325376167297363,
+        0.67313133187294,
+        0.6454255343437195,
+        0.9217477686882019,
+        0.8973391900062561,
+        0.8749618107795716,
+        0.8525666799545288,
+        0.9360130718708038,
+        1.3155556218147277,
+        0.9591496783256531,
+        1.3932193581581116,
+        1.3368174820899963,
+        1.4153075652837754,
+        1.8522763618469238,
+        2.692264319419861,
+        1.987386597442627,
+        1.7064623640060426,
+        1.5963992614746094,
+        1.8007077737808228,
+        1.8428632176399231,
+        1.8114418548583984,
+        2.151936915397644,
+        1.9110771072387696,
+        2.018029465484619,
+        1.8322255165100099,
+        1.645587540435791,
+        1.3747720615386962,
+        1.5352789054870606,
+        1.2163612977981568,
+        1.1944268989562987,
+        1.2833883277893066,
+        1.3255775995254517,
+        1.4826569160461425,
+        1.5467321198940278,
+        1.284308567047119,
+        1.7137093808174133,
+        1.1552894416809083,
+        1.1311728733062745,
+        1.0472279965400695,
+        1.0053806617736816,
+        1.0010575477600097,
+        0.9859790618896485,
+        1.2155662194252015,
+        1.003822357082367,
+        1.0635619995355605,
+        1.1148122986793518,
+        1.1133179431915283,
+        1.1314655995845795,
+        1.063596166086197,
+        1.08116314201355,
+        1.2070675258636474,
+        1.1020942071914672,
+        1.0678428085327147,
+        0.9401497948646546,
+        0.9278912733078003,
+        0.9080529265403747,
+        0.9108555992126465,
+        0.9342455106735229,
+        0.8713727573394775,
+        0.8542225917339324,
+        0.7861682298660279,
+        0.8850017538070679,
+        0.8619107227563858,
+        0.8038089787960052,
+        0.7899838858604431,
+        0.7701753869056701,
+        0.769465737915039,
+        0.7744430953979492,
+        0.7900901956558227,
+        0.7403188591003418,
+        0.7469501955509186
+      ],
+      "term_loss": [
+        1.7330207207679749,
+        0.5570951914310456,
+        0.5406998898506165,
+        0.42358581104278564,
+        0.330837759578228,
+        0.3169518223524094,
+        0.29698160467147827,
+        0.3257715297937393,
+        0.38289243738651274,
+        0.41381053009033203,
+        0.5447130520641804,
+        0.5157749845981597,
+        0.7718508359909058,
+        0.7546274427890778,
+        0.7339719145298004,
+        0.7112689768791198,
+        0.791866575551033,
+        1.1592939472913741,
+        0.8167946130514145,
+        1.2256993349075318,
+        1.1646487221479416,
+        1.2383904585599899,
+        1.631025779724121,
+        2.4219681352615354,
+        1.7584926077842713,
+        1.4707476893424989,
+        1.3351344179153442,
+        1.520205120897293,
+        1.5596533782958983,
+        1.515875082397461,
+        1.79064727973938,
+        1.5599366078615189,
+        1.6685857362747192,
+        1.4755192764282226,
+        1.3079399518966675,
+        1.044541180229187,
+        1.1824697380065918,
+        0.9046971752166748,
+        0.875753413772583,
+        0.9598105868339538,
+        0.9913295073509216,
+        1.1304236074447631,
+        1.1843891148805619,
+        0.9457870094299317,
+        1.3240039914131165,
+        0.8169942698001862,
+        0.7961643146514893,
+        0.7154263019561767,
+        0.6731688285827637,
+        0.6658499521374702,
+        0.6485110036373138,
+        0.8649091658592224,
+        0.6634476466417313,
+        0.7145267177820206,
+        0.7573314692020416,
+        0.7621763240695,
+        0.7773383576869964,
+        0.7098418580263853,
+        0.7351013217926026,
+        0.8393829751968384,
+        0.7465768881320953,
+        0.7260645219802856,
+        0.6062547987580299,
+        0.5984976484775543,
+        0.5737183202266694,
+        0.5811108931541443,
+        0.6015944788455964,
+        0.5377804847717285,
+        0.5286362272024154,
+        0.46792872714996336,
+        0.5465958580970764,
+        0.523382218259573,
+        0.47831321868896487,
+        0.464987371301651,
+        0.44250393846035,
+        0.44271842584609983,
+        0.44280669292211533,
+        0.45500148746967317,
+        0.41044492044448855,
+        0.4142983556270599
+      ],
+      "bridge_loss": [
+        0.9648801658940677,
+        0.08952797002196312,
+        0.010387033657729626,
+        0.00868126191496849,
+        0.019953231650590895,
+        0.02652147726416588,
+        0.020377826833724976,
+        0.0113384807407856,
+        0.008869929821789265,
+        0.00884415243268013,
+        0.010127060194313526,
+        0.013834500606358052,
+        0.015429657346010208,
+        0.015005127727985382,
+        0.01737220617234707,
+        0.016507850235700606,
+        0.017887714263796806,
+        0.023489831846952438,
+        0.02137830719947815,
+        0.02939054045677185,
+        0.026938988852500914,
+        0.03005907730460167,
+        0.0494566838145256,
+        0.07397269518375396,
+        0.05218240886628628,
+        0.05718883774280548,
+        0.07471259951591491,
+        0.07095959825217724,
+        0.058274264189600945,
+        0.06374176431894302,
+        0.11108007080554962,
+        0.09976578676998615,
+        0.08669499335289002,
+        0.07870205481052399,
+        0.07394435806274414,
+        0.06967136498093605,
+        0.080409853130579,
+        0.04817635658979416,
+        0.05157966592311859,
+        0.05089826797246933,
+        0.05235503783226013,
+        0.06689172427654266,
+        0.0671337242603302,
+        0.05729759488105774,
+        0.1062810962766409,
+        0.05406412786245346,
+        0.05491479247808456,
+        0.054957729548215865,
+        0.052455113303661344,
+        0.04835679746866226,
+        0.042898213720321654,
+        0.05113928149938583,
+        0.04518155987560749,
+        0.051552925246953964,
+        0.058847477835416794,
+        0.04706944565176964,
+        0.052829784095287324,
+        0.05310420074760914,
+        0.04631037278175354,
+        0.06662687994241714,
+        0.06011319470405579,
+        0.04712236127257347,
+        0.039016457271575926,
+        0.03940267757177353,
+        0.044726579827070234,
+        0.043924689245224,
+        0.045097052454948425,
+        0.04810757489204407,
+        0.04271955596804619,
+        0.03583536728620529,
+        0.057168651711940764,
+        0.05612469773888588,
+        0.04613451107442379,
+        0.0457260724902153,
+        0.0485022147655487,
+        0.04867343447208405,
+        0.05331066003292799,
+        0.05733778126835823,
+        0.05258702590465546,
+        0.05541581681370735
+      ],
+      "tgrad_loss": [
+        0.2883727689743042,
+        0.23717035751342774,
+        0.15783831593990327,
+        0.1304866850376129,
+        0.11393198389410973,
+        0.10927498421669006,
+        0.10447861251831055,
+        0.11035374848097562,
+        0.10976412500143051,
+        0.10988293509483338,
+        0.1182912248492241,
+        0.11581605107784271,
+        0.13446727237701417,
+        0.12770662536621094,
+        0.12361769351959229,
+        0.12478985731601715,
+        0.12625877491235732,
+        0.1327718471288681,
+        0.12097676041126251,
+        0.13812946257591247,
+        0.14522977732419967,
+        0.14685802749991417,
+        0.17179391975402833,
+        0.1963234726667404,
+        0.17671158585548402,
+        0.1785258449792862,
+        0.18655224494934083,
+        0.20954303665161134,
+        0.22493557806015016,
+        0.2318249930381775,
+        0.25020956571102143,
+        0.2513746982336044,
+        0.2627487404823303,
+        0.27800417733192445,
+        0.263703225851059,
+        0.2605595135688782,
+        0.27239930696487424,
+        0.26348776059150697,
+        0.26709380178451536,
+        0.272679474067688,
+        0.2818930588245392,
+        0.2853415786743164,
+        0.2952092591524124,
+        0.28122395482063295,
+        0.2834243035316467,
+        0.2842310373783112,
+        0.28009376602172853,
+        0.276843967628479,
+        0.2797567158699036,
+        0.28685079827308657,
+        0.2945698440313339,
+        0.2995177795648575,
+        0.2951931531190872,
+        0.29748235273361207,
+        0.2986333510398865,
+        0.3040721726417541,
+        0.3012974452495575,
+        0.30065011866092684,
+        0.299751437997818,
+        0.3010576790332794,
+        0.2954041223526001,
+        0.2946559201717377,
+        0.29487854740619657,
+        0.28999093780517576,
+        0.28960802850723266,
+        0.2858200194358826,
+        0.28755397300720215,
+        0.28548469729423526,
+        0.28286680579185486,
+        0.28240412793159486,
+        0.2812372575759888,
+        0.2824038036108017,
+        0.2793612523317337,
+        0.2792704437494278,
+        0.27916923666000365,
+        0.2780738802909851,
+        0.27832574605941773,
+        0.27775092339515683,
+        0.2772869101524353,
+        0.2772360302686691
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.053475264459848404,
+        0.17959368228912354,
+        0.19590041041374207,
+        0.18553033471107483
+      ],
+      "perturbation_rho": [
+        0.04320300370454788,
+        0.30398592352867126,
+        0.35316282510757446,
+        0.3741052448749542
+      ],
+      "nudging": {
+        "0.001": [
+          -0.002843886613845825,
+          -0.0015414394438266754,
+          -0.001540113240480423,
+          -0.0015225318493321538
+        ],
+        "0.003": [
+          -0.008491966873407364,
+          -0.004619893617928028,
+          -0.004617607686668634,
+          -0.004564257338643074
+        ],
+        "0.01": [
+          -0.027841825038194656,
+          -0.015361151657998562,
+          -0.015351004898548126,
+          -0.015173434279859066
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L8_s123.json b/results/synth_ladder_v2_lo/synth_a0.0_L8_s123.json
new file mode 100644
index 0000000..e4a62d1
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L8_s123.json
@@ -0,0 +1,1638 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.0751699994087218,
+        0.5078761493682862,
+        0.4315531859636307,
+        0.3730073788642883,
+        0.3855140475273132,
+        0.3838132353544235,
+        0.3313831533908844,
+        0.3231501661300659,
+        0.3923093918323517,
+        0.31546831176280976,
+        0.28469861125946044,
+        0.31882518215179445,
+        0.2853241161823273,
+        0.30717134480476377,
+        0.3008323100566864,
+        0.25230099849700927,
+        0.26736773533821107,
+        0.290317884016037,
+        0.28117715458869935,
+        0.2628298757553101,
+        0.27629507098197936,
+        0.21616523714065553,
+        0.23837570557594298,
+        0.23259806416034698,
+        0.20912184219360352,
+        0.2282358638763428,
+        0.23643302953243256,
+        0.19742694540023803,
+        0.19373424887657165,
+        0.17873178114891053,
+        0.21476234383583068,
+        0.19948986144065856,
+        0.19502384197711944,
+        0.18266755771636964,
+        0.1968197359085083,
+        0.16177621128559114,
+        0.16351565613746644,
+        0.18049528713226318,
+        0.17411686115264893,
+        0.1877502377986908,
+        0.1758611748933792,
+        0.15605131125450133,
+        0.1843089075088501,
+        0.16815092163085937,
+        0.16242712774276732,
+        0.14932012376785278,
+        0.13747083263397217,
+        0.14795307011604308,
+        0.14553518596887588,
+        0.12967102394104005,
+        0.12926516201496124,
+        0.12882190299034119,
+        0.1262246768951416,
+        0.12236184301376343,
+        0.11932372522354126,
+        0.12124661664962769,
+        0.1193896909236908,
+        0.11769546012878418,
+        0.11199279772043229,
+        0.10861553268432617,
+        0.11058963505029679,
+        0.10696912100315094,
+        0.10576842985153198,
+        0.10256688792705536,
+        0.10151043713092804,
+        0.10045346193313599,
+        0.10001536026597023,
+        0.09882576355934143,
+        0.09955769186019897,
+        0.097229629945755,
+        0.09649371477365494,
+        0.09524589428305626,
+        0.0947727505683899,
+        0.0946026062130928,
+        0.09410042756795883,
+        0.09368885006904602,
+        0.09331119285821915,
+        0.09311075817346573,
+        0.09294630281925201,
+        0.0928657611489296
+      ],
+      "train_acc": [
+        0.6186,
+        0.8031,
+        0.8268,
+        0.8526,
+        0.8455,
+        0.8495,
+        0.8701,
+        0.8729,
+        0.8484,
+        0.8757,
+        0.888,
+        0.8728,
+        0.8865,
+        0.8801,
+        0.8827,
+        0.901,
+        0.8965,
+        0.8856,
+        0.8887,
+        0.8952,
+        0.8927,
+        0.917,
+        0.9074,
+        0.9096,
+        0.9187,
+        0.9067,
+        0.9079,
+        0.9245,
+        0.9234,
+        0.933,
+        0.9146,
+        0.9225,
+        0.9254,
+        0.9321,
+        0.9224,
+        0.9382,
+        0.9376,
+        0.9292,
+        0.9326,
+        0.9306,
+        0.9328,
+        0.9449,
+        0.9316,
+        0.9368,
+        0.9386,
+        0.9465,
+        0.9512,
+        0.9456,
+        0.9435,
+        0.9554,
+        0.9547,
+        0.9558,
+        0.9586,
+        0.9609,
+        0.9611,
+        0.9582,
+        0.9615,
+        0.9614,
+        0.9655,
+        0.9654,
+        0.9633,
+        0.9676,
+        0.968,
+        0.9707,
+        0.9713,
+        0.9729,
+        0.9732,
+        0.9731,
+        0.9733,
+        0.9743,
+        0.9746,
+        0.9761,
+        0.976,
+        0.976,
+        0.9763,
+        0.9767,
+        0.9765,
+        0.9767,
+        0.9766,
+        0.9766
+      ],
+      "test_acc": [
+        0.813,
+        0.8325,
+        0.8525,
+        0.8385,
+        0.845,
+        0.8585,
+        0.871,
+        0.8765,
+        0.865,
+        0.8745,
+        0.8755,
+        0.8695,
+        0.8765,
+        0.8855,
+        0.877,
+        0.8745,
+        0.8755,
+        0.88,
+        0.883,
+        0.885,
+        0.8855,
+        0.8835,
+        0.891,
+        0.8905,
+        0.884,
+        0.886,
+        0.8865,
+        0.899,
+        0.897,
+        0.8985,
+        0.8885,
+        0.8895,
+        0.8865,
+        0.9005,
+        0.8965,
+        0.9,
+        0.8905,
+        0.892,
+        0.8955,
+        0.9005,
+        0.898,
+        0.8985,
+        0.893,
+        0.9025,
+        0.896,
+        0.908,
+        0.9095,
+        0.9045,
+        0.9095,
+        0.9105,
+        0.909,
+        0.9125,
+        0.907,
+        0.9095,
+        0.9065,
+        0.906,
+        0.9085,
+        0.91,
+        0.9105,
+        0.911,
+        0.9125,
+        0.915,
+        0.915,
+        0.9135,
+        0.9135,
+        0.9155,
+        0.9145,
+        0.914,
+        0.912,
+        0.91,
+        0.9125,
+        0.914,
+        0.9145,
+        0.9135,
+        0.9125,
+        0.913,
+        0.9125,
+        0.9125,
+        0.913,
+        0.913
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9087610840797424,
+        0.8890509605407715,
+        0.8756387233734131,
+        0.860000729560852,
+        0.8513467311859131,
+        0.8465403914451599,
+        0.8431664705276489,
+        0.8415512442588806
+      ],
+      "perturbation_rho": [
+        0.9999994039535522,
+        0.9999971389770508,
+        0.9999857544898987,
+        0.9999687671661377,
+        0.9999316930770874,
+        0.9999115467071533,
+        0.9998936653137207,
+        0.9998670816421509
+      ],
+      "nudging": {
+        "0.001": [
+          -0.028264127671718597,
+          -0.012846414931118488,
+          -0.006331811659038067,
+          -0.00377178774215281,
+          -0.002737606642767787,
+          -0.002249529119580984,
+          -0.001993998885154724,
+          -0.001851807115599513
+        ],
+        "0.003": [
+          -0.07839110493659973,
+          -0.037237778306007385,
+          -0.01868210732936859,
+          -0.011206002905964851,
+          -0.00815582275390625,
+          -0.006710343062877655,
+          -0.005951954051852226,
+          -0.005529414396733046
+        ],
+        "0.01": [
+          -0.19297254085540771,
+          -0.10940254479646683,
+          -0.05867426097393036,
+          -0.03609157353639603,
+          -0.026526644825935364,
+          -0.02192458137869835,
+          -0.019491419196128845,
+          -0.01812979206442833
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.2520987983703615,
+        1.1921777906417848,
+        0.7223491347312927,
+        0.569675174999237,
+        0.5051876047611237,
+        0.48127662410736083,
+        0.4736270173072815,
+        0.48385843744277957,
+        0.5066647751808167,
+        0.6151531973838806,
+        0.5581183519363403,
+        0.5944986409664154,
+        0.5604664645195008,
+        0.6437756621837616,
+        0.5333342678070069,
+        0.6594652740478516,
+        0.6894421440124512,
+        0.923525112915039,
+        0.6622302152633667,
+        0.716798538017273,
+        0.878897295498848,
+        0.744471817779541,
+        0.7070304737091064,
+        0.8442294884204864,
+        0.7826246971130371,
+        0.9029400730133057,
+        0.8069341362476349,
+        0.6115505308151246,
+        0.6366227967739105,
+        0.7032427085876465,
+        0.7799454936504364,
+        0.6853430420875549,
+        0.5523268433570862,
+        0.6605892517089844,
+        0.7941808592796326,
+        0.6566873438835144,
+        0.6355799470424652,
+        0.5692268901824952,
+        0.5685003101348877,
+        0.5846692030906677,
+        0.5944320782661437,
+        0.5346815711975098,
+        0.5563252561569214,
+        0.5020768721580505,
+        0.5537538578987121,
+        0.6320813038825989,
+        0.5045045644760132,
+        0.5110798831939697,
+        0.5231480001449585,
+        0.5048403442382813,
+        0.5210682102203369,
+        0.4949748097419739,
+        0.4827910567998886,
+        0.4423401186943054,
+        0.4498805576324463,
+        0.46643654356002806,
+        0.4347722285270691,
+        0.4337064916610718,
+        0.41907463989257815,
+        0.4191367287635803,
+        0.419102601480484,
+        0.40577776985168457,
+        0.3929736733078957,
+        0.37650615103244783,
+        0.3740151602745056,
+        0.3905257468223572,
+        0.36958946516513824,
+        0.3557390733718872,
+        0.36144173402786256,
+        0.3519090287685394,
+        0.36009115864038466,
+        0.3531981776714325,
+        0.3487885144233704,
+        0.3433017575263977,
+        0.3405120318412781,
+        0.3415103307723999,
+        0.33846223516464236,
+        0.3397556669831276,
+        0.3369497664451599,
+        0.33650312814712524
+      ],
+      "train_acc": [
+        0.187,
+        0.5683,
+        0.7281,
+        0.7834,
+        0.8106,
+        0.8164,
+        0.8225,
+        0.8247,
+        0.8189,
+        0.8058,
+        0.8164,
+        0.8143,
+        0.8204,
+        0.8133,
+        0.8333,
+        0.8131,
+        0.8084,
+        0.7864,
+        0.8171,
+        0.8117,
+        0.7935,
+        0.8132,
+        0.8146,
+        0.798,
+        0.8052,
+        0.7939,
+        0.8041,
+        0.8316,
+        0.8288,
+        0.8203,
+        0.8082,
+        0.8216,
+        0.8393,
+        0.8247,
+        0.8002,
+        0.8228,
+        0.8243,
+        0.8356,
+        0.8345,
+        0.8326,
+        0.8294,
+        0.8372,
+        0.836,
+        0.8491,
+        0.8335,
+        0.8282,
+        0.8409,
+        0.8445,
+        0.8382,
+        0.8452,
+        0.8417,
+        0.8476,
+        0.8478,
+        0.8554,
+        0.8543,
+        0.8507,
+        0.8552,
+        0.8554,
+        0.8587,
+        0.8575,
+        0.856,
+        0.8624,
+        0.8653,
+        0.8712,
+        0.8715,
+        0.8675,
+        0.8736,
+        0.8761,
+        0.874,
+        0.8767,
+        0.8745,
+        0.877,
+        0.8782,
+        0.8787,
+        0.8819,
+        0.8805,
+        0.8819,
+        0.8799,
+        0.8804,
+        0.8814
+      ],
+      "test_acc": [
+        0.3945,
+        0.6725,
+        0.7445,
+        0.7825,
+        0.7695,
+        0.7775,
+        0.7865,
+        0.7655,
+        0.745,
+        0.772,
+        0.7825,
+        0.7515,
+        0.764,
+        0.791,
+        0.7455,
+        0.7675,
+        0.6775,
+        0.7775,
+        0.751,
+        0.6575,
+        0.782,
+        0.758,
+        0.7245,
+        0.755,
+        0.723,
+        0.7655,
+        0.7665,
+        0.7775,
+        0.789,
+        0.777,
+        0.7655,
+        0.8005,
+        0.7685,
+        0.738,
+        0.764,
+        0.746,
+        0.762,
+        0.784,
+        0.793,
+        0.781,
+        0.799,
+        0.787,
+        0.805,
+        0.7865,
+        0.7745,
+        0.802,
+        0.79,
+        0.819,
+        0.812,
+        0.8105,
+        0.8165,
+        0.8025,
+        0.8065,
+        0.8135,
+        0.8005,
+        0.8165,
+        0.821,
+        0.8145,
+        0.825,
+        0.7965,
+        0.8335,
+        0.8345,
+        0.821,
+        0.827,
+        0.838,
+        0.841,
+        0.8415,
+        0.8475,
+        0.847,
+        0.847,
+        0.8355,
+        0.8485,
+        0.849,
+        0.8475,
+        0.848,
+        0.848,
+        0.8475,
+        0.8505,
+        0.849,
+        0.849
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.02848462387919426,
+        0.15189720690250397,
+        0.09141203761100769,
+        0.07272940874099731,
+        0.09136377274990082,
+        0.0857112780213356,
+        0.044680722057819366,
+        0.0834236741065979
+      ],
+      "perturbation_rho": [
+        0.03057212010025978,
+        0.16072696447372437,
+        0.13512857258319855,
+        0.0885201245546341,
+        0.1377822607755661,
+        0.04239961504936218,
+        0.0035119224339723587,
+        0.15597838163375854
+      ],
+      "nudging": {
+        "0.001": [
+          0.0014594306703656912,
+          -0.0004577417275868356,
+          -0.00020887120626866817,
+          -0.00015224868548102677,
+          -0.0001943351817317307,
+          -0.0002066612069029361,
+          -0.00010780030424939469,
+          -0.0001827073429012671
+        ],
+        "0.003": [
+          0.00443669268861413,
+          -0.0013740381691604853,
+          -0.0006262905662879348,
+          -0.0004553776525426656,
+          -0.0005815139738842845,
+          -0.0006211799918673933,
+          -0.0003220687503926456,
+          -0.0005518731195479631
+        ],
+        "0.01": [
+          0.015482441522181034,
+          -0.004561400040984154,
+          -0.0020816801115870476,
+          -0.0015152986161410809,
+          -0.0019329312490299344,
+          -0.002064004773274064,
+          -0.001068722689524293,
+          -0.0018352947663515806
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.6933611570358276,
+        0.8735141654968261,
+        0.7665568499565124,
+        0.8385689164161683,
+        0.9764881328582764,
+        1.02570270652771,
+        1.025010629272461,
+        1.020008626461029,
+        1.0027467712402345,
+        1.0423539823532104,
+        1.0425711331367493,
+        1.0316707324981689,
+        0.9828058090209961,
+        1.010973007583618,
+        0.986733434677124,
+        0.9870936322212219,
+        1.0305029682159423,
+        0.9933851184844971,
+        1.0522663254737854,
+        0.9639181180000305,
+        0.9579864252090454,
+        0.9713263109207153,
+        0.9710080772399903,
+        0.958733812046051,
+        0.9615955039978027,
+        1.027508487701416,
+        0.9683805879592895,
+        0.9042373063087463,
+        0.8988901743888855,
+        0.9260022815704345,
+        0.9189402528762818,
+        0.9042542934417724,
+        0.9470187347412109,
+        0.9738248091697693,
+        0.9535215856552124,
+        0.9395688908576966,
+        0.9090730375289917,
+        0.885469716835022,
+        0.8550978662490845,
+        0.8035958326339722,
+        0.8043856971740723,
+        0.7268994374275207,
+        0.6941964792251587,
+        0.6895901699066163,
+        0.6707516403198243,
+        0.6721853691101074,
+        0.6611783460140228,
+        0.659359624004364,
+        0.6429293818473816,
+        0.6381944968223572,
+        0.6279613481521606,
+        0.6223987235546112,
+        0.6126754106521607,
+        0.6082254240989685,
+        0.6074888929367065,
+        0.6079129957199096,
+        0.5843968881607056,
+        0.5827842922210693,
+        0.5797355854988098,
+        0.5714883241653442,
+        0.5579988807678222,
+        0.562573088645935,
+        0.5711278948783874,
+        0.5605402961730958,
+        0.5530248602867126,
+        0.5467610740661621,
+        0.5411503358840942,
+        0.5433719402313233,
+        0.540703071641922,
+        0.5357308044433594,
+        0.533350599193573,
+        0.5327393305778504,
+        0.5315601040363311,
+        0.5277191678047181,
+        0.5272269250869751,
+        0.5260714418411255,
+        0.5258072991371154,
+        0.5249099862098694,
+        0.5241127325057984,
+        0.5239003022670746
+      ],
+      "train_acc": [
+        0.3869,
+        0.6741,
+        0.7213,
+        0.712,
+        0.6916,
+        0.6886,
+        0.6666,
+        0.651,
+        0.6536,
+        0.6405,
+        0.6405,
+        0.6462,
+        0.6581,
+        0.6553,
+        0.6657,
+        0.6618,
+        0.656,
+        0.6597,
+        0.6499,
+        0.6689,
+        0.6689,
+        0.6612,
+        0.6713,
+        0.6743,
+        0.6725,
+        0.6567,
+        0.6765,
+        0.6919,
+        0.6986,
+        0.6925,
+        0.6938,
+        0.6935,
+        0.6785,
+        0.6739,
+        0.6752,
+        0.6824,
+        0.6969,
+        0.7072,
+        0.7205,
+        0.7291,
+        0.7284,
+        0.7438,
+        0.7548,
+        0.7567,
+        0.7589,
+        0.766,
+        0.7651,
+        0.7677,
+        0.7717,
+        0.7795,
+        0.7739,
+        0.7796,
+        0.7866,
+        0.785,
+        0.7854,
+        0.786,
+        0.7965,
+        0.7908,
+        0.7913,
+        0.7964,
+        0.7981,
+        0.7981,
+        0.7953,
+        0.7985,
+        0.8028,
+        0.8024,
+        0.8039,
+        0.8051,
+        0.8041,
+        0.8085,
+        0.8105,
+        0.8086,
+        0.8085,
+        0.809,
+        0.8111,
+        0.8097,
+        0.8101,
+        0.8101,
+        0.8108,
+        0.8109
+      ],
+      "test_acc": [
+        0.5935,
+        0.72,
+        0.6775,
+        0.68,
+        0.656,
+        0.6325,
+        0.6155,
+        0.6255,
+        0.615,
+        0.6105,
+        0.6085,
+        0.6345,
+        0.6185,
+        0.6345,
+        0.5905,
+        0.6125,
+        0.621,
+        0.6105,
+        0.6455,
+        0.631,
+        0.615,
+        0.6305,
+        0.602,
+        0.639,
+        0.615,
+        0.618,
+        0.6255,
+        0.6465,
+        0.618,
+        0.632,
+        0.635,
+        0.608,
+        0.633,
+        0.624,
+        0.64,
+        0.642,
+        0.6695,
+        0.6785,
+        0.6885,
+        0.697,
+        0.701,
+        0.707,
+        0.6975,
+        0.7185,
+        0.7175,
+        0.7105,
+        0.7225,
+        0.724,
+        0.7435,
+        0.734,
+        0.721,
+        0.732,
+        0.7455,
+        0.724,
+        0.7385,
+        0.7435,
+        0.749,
+        0.761,
+        0.7585,
+        0.756,
+        0.7515,
+        0.758,
+        0.754,
+        0.76,
+        0.7585,
+        0.757,
+        0.762,
+        0.768,
+        0.7695,
+        0.764,
+        0.7665,
+        0.7705,
+        0.7715,
+        0.775,
+        0.771,
+        0.768,
+        0.773,
+        0.7715,
+        0.7715,
+        0.7725
+      ],
+      "state_pred_error": [
+        0.6523542706489563,
+        0.19193185296058654,
+        0.14653349640369415,
+        0.15872931728363038,
+        0.18078227672576905,
+        0.1991569593667984,
+        0.2008796215057373,
+        0.18525008442401886,
+        0.16809621107578276,
+        0.15999590849876405,
+        0.15330226860046386,
+        0.14592516691684723,
+        0.13386850850582122,
+        0.12190511665344238,
+        0.10378667067289353,
+        0.08404812656641006,
+        0.07603342895507813,
+        0.08103448238372803,
+        0.08138266659975052,
+        0.07272305935621262,
+        0.05746607996225357,
+        0.04692842020392418,
+        0.043097834444046024,
+        0.04099300811886787,
+        0.0405810765504837,
+        0.04342285684943199,
+        0.048582996279001235,
+        0.04889846543669701,
+        0.0451542430460453,
+        0.04271460177898407,
+        0.04027070061564445,
+        0.039503088825941085,
+        0.04128472047448158,
+        0.046091007149219515,
+        0.050196210831403736,
+        0.049017273938655855,
+        0.04467248005867004,
+        0.039510804724693295,
+        0.038085958564281465,
+        0.03630638051629066,
+        0.03414194769263267,
+        0.0312760682284832,
+        0.028667821806669234,
+        0.026828847748041153,
+        0.02496851394176483,
+        0.023867447009682654,
+        0.022309034156799315,
+        0.021144986769557,
+        0.020247555989027024,
+        0.019221594369411468,
+        0.018156419448554516,
+        0.017370658588409423,
+        0.01632956005334854,
+        0.015447458410263062,
+        0.014759005525708198,
+        0.013934719793498517,
+        0.013313219195604324,
+        0.012773487070202828,
+        0.012312416805326938,
+        0.01164230280816555,
+        0.011094774509966373,
+        0.010633055430650712,
+        0.01053461185693741,
+        0.009895847409218549,
+        0.009508155985176563,
+        0.009198328344523906,
+        0.009013811707496643,
+        0.008660282976180315,
+        0.00837978694587946,
+        0.008148924431949854,
+        0.007967903938889503,
+        0.007802195318043232,
+        0.007647230580449104,
+        0.007468716404587031,
+        0.007320268598198891,
+        0.007207962603121996,
+        0.007048187575489283,
+        0.006943403443694114,
+        0.00690332992747426,
+        0.006703724086284638
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8679102659225464,
+        0.46438825130462646,
+        0.22033852338790894,
+        0.1893446445465088,
+        0.16738475859165192,
+        0.14945879578590393,
+        0.1267041563987732,
+        0.16090741753578186
+      ],
+      "perturbation_rho": [
+        0.6897462606430054,
+        0.42848390340805054,
+        0.19369670748710632,
+        0.19582855701446533,
+        0.14048044383525848,
+        0.12853404879570007,
+        0.09809397161006927,
+        0.18465319275856018
+      ],
+      "nudging": {
+        "0.001": [
+          -0.023718392476439476,
+          -0.0012583123752847314,
+          -0.00044915906619280577,
+          -0.0003827106556855142,
+          -0.00033165872446261346,
+          -0.0002987197949551046,
+          -0.0002500134869478643,
+          -0.0003117678570561111
+        ],
+        "0.003": [
+          -0.06893274188041687,
+          -0.0037688319571316242,
+          -0.0013465355150401592,
+          -0.001147672301158309,
+          -0.0009943797485902905,
+          -0.0008956906385719776,
+          -0.0007494555320590734,
+          -0.0009345603175461292
+        ],
+        "0.01": [
+          -0.2050759196281433,
+          -0.01248687319457531,
+          -0.004478689283132553,
+          -0.003817938268184662,
+          -0.00330835347995162,
+          -0.002980519086122513,
+          -0.002494834130629897,
+          -0.003109385259449482
+        ]
+      },
+      "state_pred_error_per_layer": [
+        7121.279296875,
+        6133.4482421875,
+        3940.991943359375,
+        2496.587646484375,
+        2560.85595703125,
+        2498.587890625,
+        3539.93115234375,
+        2449.22607421875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2500952816009523,
+        1.1873374975204467,
+        0.7212190233230591,
+        0.589605973815918,
+        0.5065119435310363,
+        0.49011473684310913,
+        0.4700994392395019,
+        0.49362938632965087,
+        0.517937117767334,
+        0.5726593207359314,
+        0.5896924369812012,
+        0.560268968963623,
+        0.7397664501190185,
+        0.5875084342956542,
+        0.7278265399932862,
+        0.6364062483787537,
+        0.6483331825256348,
+        0.6756553826332092,
+        0.797479226398468,
+        0.8857126516819,
+        0.7695636330604553,
+        0.8077825311660767,
+        0.8752077760696411,
+        0.9167019436836242,
+        0.9218885593414307,
+        1.1383125644683838,
+        0.9534948586463928,
+        1.0558939460754395,
+        1.0323654453277589,
+        1.116957998275757,
+        1.1411346126556396,
+        1.0218814598083497,
+        0.9977903114318848,
+        0.9335888034820556,
+        0.8998320890426635,
+        0.8658985606193542,
+        0.8732052396774292,
+        0.8411305795669556,
+        0.8131478414535522,
+        0.8340221326828003,
+        0.8159633024215698,
+        0.950879275226593,
+        0.9489988649368286,
+        1.0056487663269043,
+        1.0859495765686036,
+        0.9971291749954224,
+        0.9133035232543946,
+        0.9639798210144043,
+        0.9673156415939331,
+        0.9582165712356567,
+        0.969321283531189,
+        0.9587007732391357,
+        0.9764175521850585,
+        0.9668055473327637,
+        1.0020932814121246,
+        0.9464939272403717,
+        0.934805569267273,
+        0.9322779521942138,
+        0.9594141904830933,
+        0.9337027027130127,
+        0.9510448094367981,
+        0.9412529281616211,
+        0.9553708855628967,
+        0.9822353410720825,
+        0.9803216348648072,
+        0.9576361427307128,
+        0.9710129974365235,
+        0.9710078893661499,
+        0.9533861350059509,
+        0.9576114654541016,
+        0.9587514167785645,
+        0.9548089513778687,
+        0.9527052781105042,
+        0.9493050754547119,
+        0.9484169096946716,
+        0.9474969398975372,
+        0.9456873325347901,
+        0.9430316831588745,
+        0.9420053770065308,
+        0.9418123706817627
+      ],
+      "train_acc": [
+        0.1872,
+        0.5716,
+        0.7344,
+        0.7792,
+        0.8089,
+        0.8161,
+        0.8276,
+        0.8192,
+        0.8187,
+        0.8135,
+        0.8124,
+        0.8225,
+        0.7924,
+        0.8233,
+        0.8001,
+        0.8193,
+        0.8194,
+        0.8151,
+        0.7973,
+        0.7798,
+        0.796,
+        0.7956,
+        0.7883,
+        0.7818,
+        0.7855,
+        0.761,
+        0.7843,
+        0.7714,
+        0.7577,
+        0.7354,
+        0.7261,
+        0.7398,
+        0.7285,
+        0.72,
+        0.7188,
+        0.7159,
+        0.7195,
+        0.7271,
+        0.7257,
+        0.7217,
+        0.7199,
+        0.7001,
+        0.7002,
+        0.6867,
+        0.6722,
+        0.6834,
+        0.6982,
+        0.6896,
+        0.6815,
+        0.6799,
+        0.6781,
+        0.6785,
+        0.677,
+        0.6788,
+        0.6645,
+        0.6836,
+        0.6862,
+        0.6881,
+        0.6786,
+        0.6888,
+        0.6833,
+        0.6903,
+        0.6823,
+        0.6764,
+        0.677,
+        0.6797,
+        0.676,
+        0.6795,
+        0.6773,
+        0.6801,
+        0.6781,
+        0.6817,
+        0.6793,
+        0.6811,
+        0.6811,
+        0.6828,
+        0.6822,
+        0.6819,
+        0.6819,
+        0.681
+      ],
+      "test_acc": [
+        0.396,
+        0.6675,
+        0.755,
+        0.779,
+        0.7785,
+        0.7735,
+        0.7875,
+        0.773,
+        0.7755,
+        0.7345,
+        0.7665,
+        0.728,
+        0.772,
+        0.746,
+        0.794,
+        0.8,
+        0.77,
+        0.725,
+        0.718,
+        0.7665,
+        0.781,
+        0.735,
+        0.78,
+        0.7635,
+        0.682,
+        0.724,
+        0.7315,
+        0.7385,
+        0.629,
+        0.6065,
+        0.678,
+        0.687,
+        0.6895,
+        0.6655,
+        0.6555,
+        0.641,
+        0.659,
+        0.664,
+        0.627,
+        0.661,
+        0.619,
+        0.6305,
+        0.656,
+        0.656,
+        0.6375,
+        0.6495,
+        0.6185,
+        0.64,
+        0.6445,
+        0.6445,
+        0.629,
+        0.6205,
+        0.654,
+        0.649,
+        0.665,
+        0.66,
+        0.6525,
+        0.641,
+        0.658,
+        0.652,
+        0.6675,
+        0.663,
+        0.6535,
+        0.6515,
+        0.6505,
+        0.646,
+        0.649,
+        0.6555,
+        0.652,
+        0.6485,
+        0.6555,
+        0.6505,
+        0.6615,
+        0.66,
+        0.6565,
+        0.6615,
+        0.6555,
+        0.6565,
+        0.657,
+        0.656
+      ],
+      "value_loss": [
+        3.0406550333023072,
+        1.0739864919662476,
+        0.8797902669906617,
+        0.8119230751037597,
+        0.7505124300003052,
+        0.7688478637218475,
+        0.7816700012207031,
+        0.8277950994491577,
+        0.9332238399505616,
+        1.2073661733627319,
+        1.2178748641967774,
+        1.1489280862808227,
+        2.049370337677002,
+        1.3749836051940918,
+        1.967809481048584,
+        1.5042143379211426,
+        1.784430411529541,
+        1.8522346771240235,
+        2.380785788345337,
+        2.688079098987579,
+        2.2121243869781493,
+        2.5771859003067017,
+        3.0177161417007445,
+        3.1963249433517458,
+        3.278499910736084,
+        4.103906137943268,
+        3.2893902530670167,
+        3.538276944923401,
+        3.4071033470153806,
+        3.393061047363281,
+        3.593107583808899,
+        2.7045906631469725,
+        2.323301078128815,
+        1.6587140537261962,
+        1.4096987594604493,
+        1.1064665121078492,
+        1.3018325449943542,
+        0.9622974695205688,
+        0.9416653045654297,
+        1.137942492198944,
+        0.8390110436439514,
+        1.118818556213379,
+        1.4351170351982117,
+        1.4146549716949464,
+        1.350854679107666,
+        1.0553760808944703,
+        0.9420531357765197,
+        0.8516968212127686,
+        0.8288311427116394,
+        0.8953044918060302,
+        1.0598519243240356,
+        0.9243116011619568,
+        0.8204109439849854,
+        0.7235022459983825,
+        0.7862601518392562,
+        0.6927293693065644,
+        0.6582143189430237,
+        0.6549857058525086,
+        0.6321955774307251,
+        0.6534549119949341,
+        0.6194889225959778,
+        0.6070202907562255,
+        0.6236599988937378,
+        0.6771267072677613,
+        0.627422360420227,
+        0.5855028019428253,
+        0.5894961810111999,
+        0.6091744654655457,
+        0.5452647192955017,
+        0.5310998445272446,
+        0.5282959970474244,
+        0.5099697267055512,
+        0.4917725399017334,
+        0.5025618681430817,
+        0.49637296361923217,
+        0.5040994747161865,
+        0.4880611917734146,
+        0.49410484876632693,
+        0.4913170972824097,
+        0.5009399848937989
+      ],
+      "term_loss": [
+        1.7701866647720337,
+        0.8185793559074401,
+        0.7281914510726929,
+        0.6773546756744385,
+        0.6231063483715057,
+        0.6291931590080261,
+        0.6409166412353515,
+        0.6794824399948121,
+        0.7937101348876953,
+        1.0600441616535188,
+        1.073026711654663,
+        1.0124413738250733,
+        1.872055620956421,
+        1.2352364639282227,
+        1.7976898548126221,
+        1.3538026538848877,
+        1.6288803262233733,
+        1.6948101093292236,
+        2.183274205303192,
+        2.43363659965992,
+        1.9681268157958984,
+        2.2916102712631226,
+        2.6780563119888305,
+        2.800471863937378,
+        2.8440163452148437,
+        3.695234584617615,
+        2.880801276016235,
+        3.1201632221221924,
+        2.9632775779724123,
+        2.86259497795105,
+        3.054944895553589,
+        2.352185597229004,
+        1.9367447420120238,
+        1.3329054591178895,
+        1.1181737011909485,
+        0.8464344053268432,
+        0.9961952589988708,
+        0.7022396294593811,
+        0.707889524269104,
+        0.8871172556400299,
+        0.6092679342508316,
+        0.8543165489196778,
+        1.115777855873108,
+        1.1159364093780517,
+        1.0589161104202272,
+        0.788054754447937,
+        0.6829598517417907,
+        0.5953400208473205,
+        0.5665688289642334,
+        0.6170466102600097,
+        0.7452212821960449,
+        0.6295418489217758,
+        0.5425786751747131,
+        0.4624239018917084,
+        0.5189494615197182,
+        0.4438389172077179,
+        0.4131625669956207,
+        0.4099783119916916,
+        0.39147601351737976,
+        0.4156059757232666,
+        0.38140970554351805,
+        0.3751539804458618,
+        0.3869523651123047,
+        0.433263720870018,
+        0.3870872139692306,
+        0.3497257801055908,
+        0.34638986687660217,
+        0.36702115522623063,
+        0.30950822319984433,
+        0.2987165945053101,
+        0.2955163496017456,
+        0.2773493879556656,
+        0.2587234512090683,
+        0.2675587327003479,
+        0.2639723771095276,
+        0.2690547852039337,
+        0.2558252832889557,
+        0.2572220780849457,
+        0.2568408847570419,
+        0.26505257573127744
+      ],
+      "bridge_loss": [
+        0.9756296471449372,
+        0.05096207812726498,
+        0.0040795450083911415,
+        0.003944373325258493,
+        0.010001258826255799,
+        0.02449473536014557,
+        0.028989047938585283,
+        0.03089492822885513,
+        0.017126886777579783,
+        0.02114856996536255,
+        0.015148569072782994,
+        0.013431627827882767,
+        0.025956531542539598,
+        0.016493944716453553,
+        0.026987479603290558,
+        0.02172586493641138,
+        0.024694513821601868,
+        0.023027422791719435,
+        0.04703930978775024,
+        0.0878580693244934,
+        0.0928592936873436,
+        0.13349414933919906,
+        0.17922042346000672,
+        0.2330398242712021,
+        0.26964373564720157,
+        0.2232494835972786,
+        0.24393825019598006,
+        0.238459867978096,
+        0.2615100040435791,
+        0.33379141356945036,
+        0.3384218771457672,
+        0.16515041677951814,
+        0.19477927612662316,
+        0.1302941825270653,
+        0.09851177232265472,
+        0.07011229394674301,
+        0.11377327572107315,
+        0.07345656241178512,
+        0.049081385147571564,
+        0.06210354118570685,
+        0.044834843748807904,
+        0.06010619266033173,
+        0.11214887998700142,
+        0.08002942824363708,
+        0.06650356951355935,
+        0.05039359704554081,
+        0.05662242863774299,
+        0.04390023035407066,
+        0.04950015317201614,
+        0.06451151894330978,
+        0.10136058478355407,
+        0.08128330940008163,
+        0.06231695182323456,
+        0.04845148310661316,
+        0.04830691860318184,
+        0.04050123587995767,
+        0.03742270451784134,
+        0.038977445417642594,
+        0.03015052459836006,
+        0.033309116637706755,
+        0.02923171687424183,
+        0.026229538318514822,
+        0.027924185514450073,
+        0.030216664960980414,
+        0.02713270623087883,
+        0.026153411862254144,
+        0.03055509918630123,
+        0.030000684344768522,
+        0.025569038861989975,
+        0.021031512331962585,
+        0.022238533282279968,
+        0.02216599059700966,
+        0.022519239933788775,
+        0.025397614547610282,
+        0.022649219024181367,
+        0.025156321668624877,
+        0.022629088670015333,
+        0.028267720448970794,
+        0.025573840299248696,
+        0.027039055764675142
+      ],
+      "tgrad_loss": [
+        0.29483874645233155,
+        0.20444505448341369,
+        0.14751926844120025,
+        0.1306240245819092,
+        0.11740482016801834,
+        0.11515996508598328,
+        0.11176430797576904,
+        0.11741772980690002,
+        0.1223868124961853,
+        0.12617343007326126,
+        0.12969958176612853,
+        0.12305508751869201,
+        0.15135818424224853,
+        0.12325320014953613,
+        0.14313213738203048,
+        0.12868581702709198,
+        0.13085558440685272,
+        0.13439714648723602,
+        0.15047225980758666,
+        0.16658445747494696,
+        0.15113828577399255,
+        0.15208148312568665,
+        0.16043939247131347,
+        0.16281324887275697,
+        0.1648398354291916,
+        0.18542204723358155,
+        0.16465072660446167,
+        0.1796539167881012,
+        0.18231577808856964,
+        0.1966746131181717,
+        0.19974080891609192,
+        0.18725463242530824,
+        0.19177704265117645,
+        0.19551441068649292,
+        0.19301328949928284,
+        0.18991980985403062,
+        0.191864014005661,
+        0.18660128991603853,
+        0.18469438967704774,
+        0.18872169270515443,
+        0.18490826721191406,
+        0.2043958014011383,
+        0.20719030148983,
+        0.21868912653923034,
+        0.2254349905014038,
+        0.21692773156166076,
+        0.2024708650588989,
+        0.21245656762123108,
+        0.21276216344833374,
+        0.21374636619091034,
+        0.2132700624704361,
+        0.21348643493652344,
+        0.21551531555652617,
+        0.21262686700820924,
+        0.21900376980304717,
+        0.20838922061920165,
+        0.20762904937267304,
+        0.20602994527816773,
+        0.21056903939247132,
+        0.20453982200622559,
+        0.20884749658107757,
+        0.20563676958084107,
+        0.20878344979286192,
+        0.21364632172584533,
+        0.21320244359970092,
+        0.2096236107826233,
+        0.21255121397972107,
+        0.2121526288509369,
+        0.21018745770454406,
+        0.2113517366886139,
+        0.21054111399650574,
+        0.21045434730052948,
+        0.21052985265254975,
+        0.20960552549362182,
+        0.20975136260986327,
+        0.20988836765289307,
+        0.209606822681427,
+        0.20861505036354064,
+        0.2089023720264435,
+        0.20884835484027864
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.001700198045000434,
+        0.04125010222196579,
+        0.1112770289182663,
+        0.11907510459423065,
+        0.11768756806850433,
+        0.11733907461166382,
+        0.11329221725463867,
+        0.117521733045578
+      ],
+      "perturbation_rho": [
+        0.043069981038570404,
+        0.1044735386967659,
+        0.23828034102916718,
+        0.18111932277679443,
+        0.19782572984695435,
+        0.1971191018819809,
+        0.20729684829711914,
+        0.2299107313156128
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0006511092651635408,
+          -0.00034308910835534334,
+          -0.000792907492723316,
+          -0.0008164917235262692,
+          -0.0008322584326379001,
+          -0.0008019506931304932,
+          -0.0008090936462394893,
+          -0.0008134577656164765
+        ],
+        "0.003": [
+          -0.0019249932374805212,
+          -0.001026424579322338,
+          -0.002375826006755233,
+          -0.0024475236423313618,
+          -0.00249303737655282,
+          -0.0024030092172324657,
+          -0.002427314408123493,
+          -0.002439431846141815
+        ],
+        "0.01": [
+          -0.006082434207201004,
+          -0.003400696674361825,
+          -0.007903593592345715,
+          -0.008138573728501797,
+          -0.008289994671940804,
+          -0.007994470186531544,
+          -0.00807441771030426,
+          -0.008117234334349632
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L8_s42.json b/results/synth_ladder_v2_lo/synth_a0.0_L8_s42.json
new file mode 100644
index 0000000..9a870b4
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L8_s42.json
@@ -0,0 +1,1638 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.0757543913841248,
+        0.5076081553459167,
+        0.44924112920761106,
+        0.4247585828781128,
+        0.390476895737648,
+        0.3476995074748993,
+        0.34030030264854433,
+        0.3316740375518799,
+        0.3210986800670624,
+        0.3004637783050537,
+        0.3107565640449524,
+        0.31333593788146974,
+        0.3368205448627472,
+        0.3013008052945137,
+        0.24617022519111634,
+        0.2921410479068756,
+        0.2635057222366333,
+        0.2468733805656433,
+        0.2835908453464508,
+        0.24917495551109314,
+        0.23554206476211548,
+        0.2440310100078583,
+        0.2401031512260437,
+        0.23388757339715957,
+        0.22199509954452515,
+        0.24858054161071777,
+        0.2563783165931702,
+        0.2575826109409332,
+        0.21732676796913147,
+        0.2173767949104309,
+        0.22188423473834992,
+        0.18563161835670472,
+        0.20825975818634032,
+        0.17853380255699158,
+        0.16998590087890625,
+        0.22122718925476073,
+        0.17761884450912477,
+        0.1721252568244934,
+        0.18634113365411759,
+        0.16172185846567155,
+        0.14872372229099273,
+        0.1512143076300621,
+        0.1437873905658722,
+        0.15217237317562105,
+        0.15337150135040284,
+        0.16384036836624147,
+        0.1659779568195343,
+        0.1543241171836853,
+        0.14291128422021865,
+        0.13691224701404572,
+        0.13174424264132978,
+        0.12449043486118316,
+        0.12606769989728928,
+        0.12063085582256317,
+        0.1212635150194168,
+        0.12218361542224884,
+        0.11889479755163193,
+        0.11501415977478027,
+        0.11453091421127319,
+        0.11233264380693436,
+        0.10913959243297577,
+        0.1080293738424778,
+        0.10722576280832291,
+        0.10587466154694557,
+        0.10347079048156738,
+        0.1029079300403595,
+        0.1010995524764061,
+        0.10133141717910767,
+        0.10086093401908874,
+        0.09952975501418114,
+        0.09885214577913284,
+        0.09803358337879181,
+        0.09736436128616333,
+        0.09699009905606508,
+        0.0960432112455368,
+        0.09560413639545441,
+        0.09529533250927925,
+        0.0950549742102623,
+        0.09487758847773076,
+        0.09478750932216644
+      ],
+      "train_acc": [
+        0.6176,
+        0.8033,
+        0.8282,
+        0.8365,
+        0.8415,
+        0.8594,
+        0.8616,
+        0.8667,
+        0.8712,
+        0.8777,
+        0.8772,
+        0.8762,
+        0.8668,
+        0.8811,
+        0.9031,
+        0.8815,
+        0.8954,
+        0.9032,
+        0.8904,
+        0.9,
+        0.9054,
+        0.9037,
+        0.8994,
+        0.9078,
+        0.9118,
+        0.9008,
+        0.9003,
+        0.8984,
+        0.9117,
+        0.912,
+        0.9104,
+        0.9275,
+        0.9171,
+        0.9301,
+        0.9363,
+        0.914,
+        0.9305,
+        0.9348,
+        0.925,
+        0.9397,
+        0.9444,
+        0.9459,
+        0.9476,
+        0.9444,
+        0.9424,
+        0.9364,
+        0.9358,
+        0.9404,
+        0.9472,
+        0.9511,
+        0.9553,
+        0.9594,
+        0.9593,
+        0.9604,
+        0.9607,
+        0.9597,
+        0.962,
+        0.962,
+        0.9636,
+        0.9656,
+        0.967,
+        0.9682,
+        0.9697,
+        0.9695,
+        0.9704,
+        0.9715,
+        0.9735,
+        0.9725,
+        0.9739,
+        0.9745,
+        0.9728,
+        0.9745,
+        0.9752,
+        0.975,
+        0.976,
+        0.9768,
+        0.9773,
+        0.977,
+        0.9774,
+        0.9775
+      ],
+      "test_acc": [
+        0.787,
+        0.8035,
+        0.833,
+        0.842,
+        0.8535,
+        0.8575,
+        0.86,
+        0.848,
+        0.8745,
+        0.866,
+        0.8675,
+        0.8635,
+        0.867,
+        0.8735,
+        0.887,
+        0.876,
+        0.8785,
+        0.8855,
+        0.874,
+        0.88,
+        0.8865,
+        0.8785,
+        0.871,
+        0.883,
+        0.8995,
+        0.8785,
+        0.8715,
+        0.875,
+        0.896,
+        0.8965,
+        0.897,
+        0.903,
+        0.896,
+        0.8985,
+        0.895,
+        0.8895,
+        0.895,
+        0.897,
+        0.887,
+        0.903,
+        0.9035,
+        0.9045,
+        0.897,
+        0.8945,
+        0.9065,
+        0.9025,
+        0.904,
+        0.9035,
+        0.9045,
+        0.903,
+        0.905,
+        0.908,
+        0.9045,
+        0.91,
+        0.909,
+        0.908,
+        0.9075,
+        0.9125,
+        0.909,
+        0.9085,
+        0.9035,
+        0.909,
+        0.9085,
+        0.905,
+        0.9075,
+        0.9105,
+        0.91,
+        0.909,
+        0.9065,
+        0.908,
+        0.907,
+        0.9065,
+        0.9075,
+        0.908,
+        0.908,
+        0.9075,
+        0.9065,
+        0.9065,
+        0.906,
+        0.906
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8854324817657471,
+        0.8737501502037048,
+        0.8630377054214478,
+        0.8562113046646118,
+        0.8509326577186584,
+        0.8481521606445312,
+        0.84560626745224,
+        0.8443001508712769
+      ],
+      "perturbation_rho": [
+        0.9999991655349731,
+        0.9999963045120239,
+        0.9999881386756897,
+        0.9999630451202393,
+        0.9999364614486694,
+        0.9999151825904846,
+        0.9998926520347595,
+        0.9998775720596313
+      ],
+      "nudging": {
+        "0.001": [
+          -0.031868599355220795,
+          -0.014682772569358349,
+          -0.00733374897390604,
+          -0.0044118668884038925,
+          -0.0032190121710300446,
+          -0.002646001288667321,
+          -0.0023340615443885326,
+          -0.0021536401472985744
+        ],
+        "0.003": [
+          -0.08796128630638123,
+          -0.042457789182662964,
+          -0.021612998098134995,
+          -0.013098624534904957,
+          -0.00958542712032795,
+          -0.007890285924077034,
+          -0.006964934058487415,
+          -0.006429150700569153
+        ],
+        "0.01": [
+          -0.21767401695251465,
+          -0.12408202886581421,
+          -0.06762672960758209,
+          -0.04208396375179291,
+          -0.031123068183660507,
+          -0.025745777413249016,
+          -0.022784877568483353,
+          -0.021061642095446587
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.13472125415802,
+        1.064750273513794,
+        0.6787943045616149,
+        0.5445983642578125,
+        0.4691809035301209,
+        0.44078434734344485,
+        0.4589700782775879,
+        0.4633651376724243,
+        0.48622037637233734,
+        0.5303937173843384,
+        0.5300615015029907,
+        0.5191615985870361,
+        0.6124243753433227,
+        0.6110803317785263,
+        0.5108732610702514,
+        0.6651096425056457,
+        0.6519462231874465,
+        0.6120770479202271,
+        0.611581618309021,
+        0.7067273505687713,
+        0.6294481365203858,
+        0.6680336037635803,
+        0.7899993432998658,
+        0.7286258486032486,
+        0.7593296463012695,
+        0.6259688374519348,
+        0.7967933742523193,
+        1.0146251457214355,
+        0.8291450224876403,
+        0.7330523146629333,
+        0.8095165735721588,
+        0.6667535767793655,
+        0.6494596580505371,
+        0.6892270953893661,
+        0.6535914615631103,
+        0.752629549407959,
+        0.6489908882915973,
+        0.7158377149581909,
+        0.8427579293370246,
+        0.7397276062965393,
+        0.7076394484519959,
+        0.680823688364029,
+        0.6616308630347252,
+        0.6541980605125427,
+        0.7793759801864624,
+        0.8009075149536132,
+        0.6981098392486572,
+        0.6555009291648864,
+        0.6616069585680961,
+        0.6934653346061707,
+        0.6811443558603525,
+        0.6117486233711242,
+        0.6414114294528961,
+        0.6468382164001465,
+        0.6715234688282012,
+        0.5874644180297851,
+        0.617424130487442,
+        0.5686914512634277,
+        0.5897184799194336,
+        0.563749632358551,
+        0.5560783692359924,
+        0.5561227001190185,
+        0.5419582702159882,
+        0.5483636920452117,
+        0.5441933881878853,
+        0.5452967376232147,
+        0.5415290240168571,
+        0.5169584144592285,
+        0.5267872435450554,
+        0.5149645379066468,
+        0.5136418291330338,
+        0.5051588420391083,
+        0.5119852211952209,
+        0.5085399871870875,
+        0.50260826587677,
+        0.4999133358955383,
+        0.49910780143737793,
+        0.49455464423894885,
+        0.4937580402228981,
+        0.4927313493728638
+      ],
+      "train_acc": [
+        0.2241,
+        0.6144,
+        0.7485,
+        0.7929,
+        0.8238,
+        0.8322,
+        0.832,
+        0.834,
+        0.8279,
+        0.828,
+        0.8247,
+        0.8309,
+        0.8223,
+        0.8173,
+        0.843,
+        0.8172,
+        0.8248,
+        0.8386,
+        0.8341,
+        0.824,
+        0.8362,
+        0.8351,
+        0.8275,
+        0.8305,
+        0.8288,
+        0.8519,
+        0.8242,
+        0.805,
+        0.8315,
+        0.8379,
+        0.8337,
+        0.8522,
+        0.8513,
+        0.8439,
+        0.8553,
+        0.8379,
+        0.8559,
+        0.8481,
+        0.8328,
+        0.8445,
+        0.8516,
+        0.8537,
+        0.856,
+        0.8561,
+        0.837,
+        0.8422,
+        0.8485,
+        0.8613,
+        0.8568,
+        0.8485,
+        0.8541,
+        0.8632,
+        0.8631,
+        0.8594,
+        0.8544,
+        0.8676,
+        0.861,
+        0.8701,
+        0.866,
+        0.8709,
+        0.8731,
+        0.8725,
+        0.8749,
+        0.8691,
+        0.8736,
+        0.8732,
+        0.8747,
+        0.8783,
+        0.8739,
+        0.8785,
+        0.8784,
+        0.8796,
+        0.8797,
+        0.8802,
+        0.8794,
+        0.8817,
+        0.8804,
+        0.8823,
+        0.8814,
+        0.8818
+      ],
+      "test_acc": [
+        0.452,
+        0.664,
+        0.7355,
+        0.773,
+        0.7975,
+        0.7885,
+        0.7945,
+        0.777,
+        0.774,
+        0.7755,
+        0.792,
+        0.763,
+        0.7875,
+        0.777,
+        0.736,
+        0.7485,
+        0.789,
+        0.7625,
+        0.7415,
+        0.784,
+        0.739,
+        0.772,
+        0.797,
+        0.704,
+        0.7955,
+        0.786,
+        0.7635,
+        0.7495,
+        0.7615,
+        0.771,
+        0.7995,
+        0.821,
+        0.794,
+        0.7825,
+        0.773,
+        0.8035,
+        0.804,
+        0.779,
+        0.7465,
+        0.7895,
+        0.8165,
+        0.783,
+        0.8055,
+        0.8015,
+        0.7835,
+        0.7945,
+        0.798,
+        0.8215,
+        0.7735,
+        0.8165,
+        0.804,
+        0.823,
+        0.7875,
+        0.811,
+        0.8245,
+        0.8195,
+        0.8185,
+        0.824,
+        0.819,
+        0.822,
+        0.8275,
+        0.821,
+        0.8295,
+        0.8295,
+        0.8315,
+        0.825,
+        0.829,
+        0.823,
+        0.8335,
+        0.834,
+        0.836,
+        0.8295,
+        0.8315,
+        0.8305,
+        0.8355,
+        0.8335,
+        0.8345,
+        0.8345,
+        0.8325,
+        0.8325
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.02968163788318634,
+        0.08609121292829514,
+        0.09377065300941467,
+        0.10205866396427155,
+        0.08807726949453354,
+        0.053033627569675446,
+        0.056919872760772705,
+        0.04721488058567047
+      ],
+      "perturbation_rho": [
+        -0.09032663702964783,
+        0.17043988406658173,
+        0.18389353156089783,
+        0.16770029067993164,
+        0.1504741907119751,
+        0.05179755389690399,
+        0.050898581743240356,
+        -0.03670964762568474
+      ],
+      "nudging": {
+        "0.001": [
+          0.002358348574489355,
+          -0.0005224555497989058,
+          -0.00029081435059197247,
+          -0.0002893093624152243,
+          -0.00024064714671112597,
+          -0.0001590531610418111,
+          -0.00014225264021661133,
+          -0.00011707056546583772
+        ],
+        "0.003": [
+          0.0073735713958740234,
+          -0.0015679008793085814,
+          -0.0008718278259038925,
+          -0.0008626180933788419,
+          -0.000721139891538769,
+          -0.00047776539577171206,
+          -0.0004256684915162623,
+          -0.0003536291478667408
+        ],
+        "0.01": [
+          0.028243789449334145,
+          -0.00520662497729063,
+          -0.0028999613132327795,
+          -0.002869710559025407,
+          -0.0023996694944798946,
+          -0.0015899656573310494,
+          -0.0014181910082697868,
+          -0.0011781371431425214
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.7328739669799804,
+        0.9811433526992798,
+        0.7968745387077332,
+        0.80839176197052,
+        0.8580701364994049,
+        0.9189817895889282,
+        0.9484232675552369,
+        0.9335546033859253,
+        0.9336960997581482,
+        0.9480458303451538,
+        0.9517143133163453,
+        0.9554149606704712,
+        0.9504594124794007,
+        0.97358454246521,
+        1.0018829744338988,
+        0.9550861362457276,
+        0.9641454742431641,
+        0.9438694232940674,
+        0.9552924007415772,
+        0.9330580535888672,
+        0.8800268087387085,
+        0.858905982208252,
+        0.9175141490936279,
+        0.920817092704773,
+        0.9107141004562378,
+        0.8834829970359802,
+        0.845861376953125,
+        0.8068534229278564,
+        0.8613802621841431,
+        0.8515079685211182,
+        0.8195189044952392,
+        0.8610365732192993,
+        0.8288298233509064,
+        0.7938063079833985,
+        0.782201350402832,
+        0.8223142776489257,
+        0.8027304618835449,
+        0.796955973815918,
+        0.769949794960022,
+        0.7569882241249084,
+        0.7953457245826722,
+        0.8144200666427612,
+        0.7426586433410645,
+        0.755963011932373,
+        0.7787463603973389,
+        0.743975663948059,
+        0.759346683883667,
+        0.7585860026836395,
+        0.7371354169845581,
+        0.7337988836288453,
+        0.7494666588783264,
+        0.7489494784355164,
+        0.7316932228088379,
+        0.7707076009750367,
+        0.7418164071559906,
+        0.7404774815559387,
+        0.736026719045639,
+        0.7313680733680725,
+        0.7195740768432617,
+        0.7385888179779053,
+        0.7218243119239807,
+        0.699979656791687,
+        0.6981355967521667,
+        0.6896988845348359,
+        0.6775998549222946,
+        0.6683120150566101,
+        0.667447187423706,
+        0.6596596981048584,
+        0.6571299660205842,
+        0.648965798997879,
+        0.6483057856559753,
+        0.6461096891403199,
+        0.6408902339935303,
+        0.6388658201217652,
+        0.6380767006874084,
+        0.6351657607078552,
+        0.6342095012664795,
+        0.6330936979293823,
+        0.6321959840774536,
+        0.631820877456665
+      ],
+      "train_acc": [
+        0.3774,
+        0.6438,
+        0.702,
+        0.7105,
+        0.7005,
+        0.6896,
+        0.6819,
+        0.6739,
+        0.6689,
+        0.6621,
+        0.6589,
+        0.6571,
+        0.6607,
+        0.6563,
+        0.6563,
+        0.6693,
+        0.6647,
+        0.6737,
+        0.6748,
+        0.6718,
+        0.6874,
+        0.6971,
+        0.6821,
+        0.6934,
+        0.6935,
+        0.7054,
+        0.7122,
+        0.7186,
+        0.7057,
+        0.7113,
+        0.7256,
+        0.7072,
+        0.7181,
+        0.7251,
+        0.7255,
+        0.7236,
+        0.7238,
+        0.7252,
+        0.7354,
+        0.7392,
+        0.7232,
+        0.7273,
+        0.7429,
+        0.7366,
+        0.7356,
+        0.738,
+        0.7348,
+        0.7376,
+        0.741,
+        0.7428,
+        0.7398,
+        0.7432,
+        0.7433,
+        0.7352,
+        0.7398,
+        0.7414,
+        0.7443,
+        0.7444,
+        0.7476,
+        0.7398,
+        0.748,
+        0.7523,
+        0.7573,
+        0.7549,
+        0.7603,
+        0.7642,
+        0.7656,
+        0.7656,
+        0.7698,
+        0.7711,
+        0.7689,
+        0.7716,
+        0.7704,
+        0.7718,
+        0.7748,
+        0.7733,
+        0.7752,
+        0.7752,
+        0.7762,
+        0.7765
+      ],
+      "test_acc": [
+        0.5465,
+        0.653,
+        0.6825,
+        0.6735,
+        0.664,
+        0.6365,
+        0.64,
+        0.6305,
+        0.6235,
+        0.621,
+        0.6325,
+        0.6335,
+        0.633,
+        0.6125,
+        0.6295,
+        0.6175,
+        0.65,
+        0.615,
+        0.641,
+        0.6645,
+        0.6565,
+        0.6625,
+        0.6605,
+        0.653,
+        0.6765,
+        0.6805,
+        0.69,
+        0.6625,
+        0.678,
+        0.6895,
+        0.673,
+        0.669,
+        0.7,
+        0.6975,
+        0.6765,
+        0.69,
+        0.6845,
+        0.6915,
+        0.707,
+        0.6645,
+        0.6725,
+        0.688,
+        0.7195,
+        0.701,
+        0.7,
+        0.682,
+        0.7095,
+        0.6985,
+        0.712,
+        0.6955,
+        0.6935,
+        0.713,
+        0.698,
+        0.688,
+        0.7065,
+        0.6865,
+        0.7145,
+        0.713,
+        0.7025,
+        0.708,
+        0.7195,
+        0.7155,
+        0.714,
+        0.726,
+        0.718,
+        0.7225,
+        0.721,
+        0.7275,
+        0.721,
+        0.7235,
+        0.7295,
+        0.724,
+        0.7245,
+        0.7225,
+        0.7265,
+        0.728,
+        0.727,
+        0.7265,
+        0.727,
+        0.726
+      ],
+      "state_pred_error": [
+        0.6428197972297669,
+        0.19351577122211455,
+        0.1660344313621521,
+        0.17652878823280335,
+        0.18978006644248963,
+        0.19631840877532958,
+        0.19491800663471223,
+        0.19226022069454193,
+        0.18165790848731994,
+        0.16527520124912262,
+        0.14865010199546813,
+        0.13212442252635956,
+        0.1177069759130478,
+        0.11029988080263138,
+        0.10093973301649094,
+        0.08951207721233367,
+        0.08190780951976775,
+        0.08566042828559875,
+        0.08916603361368179,
+        0.0825111199259758,
+        0.07487273232936859,
+        0.06487578954696656,
+        0.059569144582748416,
+        0.05982308453321457,
+        0.05629802569746971,
+        0.04989139791727066,
+        0.0473561365544796,
+        0.04492486463785172,
+        0.044193212151527404,
+        0.04343981958031654,
+        0.041326461428403856,
+        0.040116964304447174,
+        0.03958643175363541,
+        0.03792573779821396,
+        0.03780722205638885,
+        0.03684104197919369,
+        0.035100384438037875,
+        0.033475980192422865,
+        0.03184100140333176,
+        0.031417953404784205,
+        0.03174956562519073,
+        0.031464615708589556,
+        0.030044199123978616,
+        0.028851599764823915,
+        0.027254376643896103,
+        0.025502048003673554,
+        0.023910949629545212,
+        0.02216300364136696,
+        0.020575732861459254,
+        0.019327285060286522,
+        0.018592858423292637,
+        0.01823208925127983,
+        0.018495164170861243,
+        0.01851490514278412,
+        0.018615340042114258,
+        0.018319079437851906,
+        0.017992605185508728,
+        0.017830414324998857,
+        0.017337585292756558,
+        0.016755458490550518,
+        0.01625010498762131,
+        0.015588380454480648,
+        0.015276109413802624,
+        0.014523939031362534,
+        0.013859204940497876,
+        0.013518636293709278,
+        0.013107557639479636,
+        0.012660594460368156,
+        0.012188548400998115,
+        0.01179230693280697,
+        0.011473847399652005,
+        0.0111009864538908,
+        0.010866704443097114,
+        0.010644253891706467,
+        0.01051605779528618,
+        0.010096385054290294,
+        0.009957369659096002,
+        0.009735264672338963,
+        0.009506795328110456,
+        0.00936661482155323
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8151727914810181,
+        0.4042307734489441,
+        0.16176781058311462,
+        0.1698867678642273,
+        0.14891386032104492,
+        0.1726662963628769,
+        0.1322125643491745,
+        0.14817725121974945
+      ],
+      "perturbation_rho": [
+        0.7261759042739868,
+        0.36915943026542664,
+        0.17840053141117096,
+        0.16105638444423676,
+        0.14931628108024597,
+        0.15696927905082703,
+        0.17820878326892853,
+        0.1840115785598755
+      ],
+      "nudging": {
+        "0.001": [
+          -0.023730942979454994,
+          -0.0011499840766191483,
+          -0.00041868066182360053,
+          -0.0004118153010495007,
+          -0.000386256433557719,
+          -0.0004230579361319542,
+          -0.0003364062577020377,
+          -0.0003734407073352486
+        ],
+        "0.003": [
+          -0.06960602104663849,
+          -0.003446865128353238,
+          -0.001256113639101386,
+          -0.0012356475926935673,
+          -0.0011594654060900211,
+          -0.001268491381779313,
+          -0.001009067753329873,
+          -0.0011201862944290042
+        ],
+        "0.01": [
+          -0.21425020694732666,
+          -0.011446774937212467,
+          -0.004181142896413803,
+          -0.004114024806767702,
+          -0.0038589704781770706,
+          -0.00422251783311367,
+          -0.003358659567311406,
+          -0.003728472860530019
+        ]
+      },
+      "state_pred_error_per_layer": [
+        7398.20849609375,
+        5242.7607421875,
+        3768.9609375,
+        3258.12548828125,
+        3060.2021484375,
+        2786.609619140625,
+        3211.44921875,
+        2939.81005859375
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.1370582035064696,
+        1.0645069687843323,
+        0.6801733062744141,
+        0.5586606249332428,
+        0.4881390431404114,
+        0.46811703872680666,
+        0.47793011622428894,
+        0.491072265625,
+        0.45632949471473694,
+        0.49341422691345216,
+        0.6391787099599838,
+        0.5234632035255432,
+        0.5246470190525055,
+        0.6408189677238464,
+        0.6090221863985061,
+        0.5636324305534363,
+        0.6122668931216001,
+        0.6223794656276703,
+        0.7977206924438477,
+        0.7688750084877014,
+        0.8809650159835816,
+        0.9288559448242187,
+        0.8847734958648682,
+        0.9730628623962402,
+        0.9568616161346436,
+        1.0317223262786865,
+        1.136458911895752,
+        1.1702300283432008,
+        0.9281893106460571,
+        1.0470865356445314,
+        1.1126060703277587,
+        1.1764981075286864,
+        0.9546853006362915,
+        0.9108602264404296,
+        0.8738015920639038,
+        0.8948956307888031,
+        0.813925849533081,
+        0.9619963138580322,
+        1.0160358333587647,
+        0.9929837261199951,
+        1.0878820617675782,
+        0.991282360458374,
+        1.0092166801452638,
+        1.0004161891937255,
+        1.0230372599601745,
+        1.0760341178894044,
+        0.9872162799835205,
+        0.9739640418052673,
+        1.0317725978851318,
+        1.0004596428871155,
+        0.9978432794094085,
+        1.0264748498916625,
+        1.073675299835205,
+        1.0885952290534973,
+        1.0659225395202636,
+        1.0828760971069336,
+        1.0679924612045288,
+        1.0984314491271974,
+        1.1133429298400879,
+        1.0874613107681275,
+        1.1088385950088502,
+        1.080880365371704,
+        1.1012449313163757,
+        1.0722564311504363,
+        1.063163561439514,
+        1.0487949291229248,
+        1.0663402166366578,
+        1.0534990873336791,
+        1.0597085929870604,
+        1.0426021310806275,
+        1.0364102695465087,
+        1.0401461017608642,
+        1.03147163105011,
+        1.032290082359314,
+        1.0253121829986571,
+        1.023413536453247,
+        1.0240816875457763,
+        1.0224136894226075,
+        1.0198726715087891,
+        1.0197427711486817
+      ],
+      "train_acc": [
+        0.2223,
+        0.6146,
+        0.7422,
+        0.7889,
+        0.8129,
+        0.8208,
+        0.8242,
+        0.8254,
+        0.8378,
+        0.8275,
+        0.8051,
+        0.8348,
+        0.8319,
+        0.8211,
+        0.8253,
+        0.8405,
+        0.8325,
+        0.835,
+        0.8078,
+        0.8158,
+        0.7949,
+        0.791,
+        0.7938,
+        0.7747,
+        0.7774,
+        0.7745,
+        0.7607,
+        0.7438,
+        0.7736,
+        0.749,
+        0.7511,
+        0.7318,
+        0.7493,
+        0.7459,
+        0.7528,
+        0.7375,
+        0.7445,
+        0.7151,
+        0.7011,
+        0.707,
+        0.6813,
+        0.6985,
+        0.6986,
+        0.6899,
+        0.6838,
+        0.6775,
+        0.6854,
+        0.6941,
+        0.6759,
+        0.677,
+        0.682,
+        0.6713,
+        0.666,
+        0.6642,
+        0.6638,
+        0.6643,
+        0.6642,
+        0.6542,
+        0.6521,
+        0.6569,
+        0.6636,
+        0.6591,
+        0.6569,
+        0.662,
+        0.6675,
+        0.6717,
+        0.667,
+        0.6692,
+        0.6706,
+        0.6745,
+        0.6756,
+        0.6742,
+        0.6741,
+        0.6745,
+        0.6746,
+        0.6742,
+        0.6751,
+        0.6767,
+        0.6778,
+        0.6774
+      ],
+      "test_acc": [
+        0.444,
+        0.6745,
+        0.7325,
+        0.7745,
+        0.7815,
+        0.798,
+        0.8035,
+        0.798,
+        0.8025,
+        0.711,
+        0.7895,
+        0.7985,
+        0.791,
+        0.766,
+        0.77,
+        0.794,
+        0.7735,
+        0.7315,
+        0.759,
+        0.7495,
+        0.752,
+        0.735,
+        0.705,
+        0.732,
+        0.721,
+        0.752,
+        0.7115,
+        0.72,
+        0.6915,
+        0.7335,
+        0.6465,
+        0.7225,
+        0.6795,
+        0.709,
+        0.697,
+        0.6885,
+        0.6295,
+        0.6055,
+        0.583,
+        0.6355,
+        0.583,
+        0.659,
+        0.6365,
+        0.6345,
+        0.5925,
+        0.6095,
+        0.666,
+        0.602,
+        0.6545,
+        0.612,
+        0.638,
+        0.6155,
+        0.611,
+        0.6055,
+        0.6135,
+        0.6285,
+        0.626,
+        0.607,
+        0.623,
+        0.608,
+        0.6185,
+        0.6095,
+        0.609,
+        0.6265,
+        0.626,
+        0.622,
+        0.629,
+        0.626,
+        0.633,
+        0.6425,
+        0.634,
+        0.636,
+        0.634,
+        0.6375,
+        0.6375,
+        0.638,
+        0.64,
+        0.639,
+        0.639,
+        0.64
+      ],
+      "value_loss": [
+        2.9023948707580565,
+        0.9411828812599182,
+        0.9784409198760986,
+        0.9702556604385376,
+        0.911243058013916,
+        0.9411980567932129,
+        1.0062726194381715,
+        1.0051571633458138,
+        0.7945024635076523,
+        0.8636679088592529,
+        1.351515377473831,
+        0.9440338861465454,
+        1.0237316113948822,
+        1.6041599166870117,
+        1.4913020963668824,
+        1.3120978896141051,
+        1.4634722517490386,
+        1.5368283511161804,
+        2.3160801666259765,
+        2.31045254573822,
+        2.833774365234375,
+        3.385757903289795,
+        2.9262950035095217,
+        3.250738282775879,
+        3.1019880832672118,
+        3.6402773345947264,
+        4.2429088134765625,
+        4.023282150268555,
+        2.689120644378662,
+        3.2996597610473635,
+        4.053308227157593,
+        3.6391844707489014,
+        2.5846795793533324,
+        1.8673851746559142,
+        1.6735054915428162,
+        1.9220958820343017,
+        1.271403459739685,
+        1.567453321647644,
+        2.111127665615082,
+        1.4919785886764527,
+        1.5718415649414061,
+        1.237246979522705,
+        1.4188125720977782,
+        1.0745463274002076,
+        1.0068994304180146,
+        1.185745523071289,
+        1.2835211219787597,
+        0.8518369881629944,
+        0.8437435919761658,
+        0.8486205416202545,
+        0.8211554767489433,
+        0.7640671442985535,
+        0.7999482116699219,
+        0.9456826114654541,
+        0.810999361205101,
+        0.8642545461654663,
+        0.8051076416015625,
+        0.8193947722434998,
+        0.8351191815376282,
+        0.7857263399124146,
+        0.9166569149971008,
+        0.7972983899593353,
+        0.9325546828269958,
+        0.7981749772071839,
+        0.8134522473335266,
+        0.7371659188747406,
+        0.7727094465255737,
+        0.7542548943519592,
+        0.7355351985931396,
+        0.7110868342399597,
+        0.7060981317520142,
+        0.7146732750892639,
+        0.7173495404720306,
+        0.6977155768394471,
+        0.6535471586227417,
+        0.6667288435935974,
+        0.6411734392166137,
+        0.6943656763076782,
+        0.6403075717926026,
+        0.6615465266227722
+      ],
+      "term_loss": [
+        1.6929137281417848,
+        0.7076341553688049,
+        0.832843780708313,
+        0.8462161507606506,
+        0.7989002693176269,
+        0.8294573577880859,
+        0.8796000757217407,
+        0.8496675333380699,
+        0.6641823264122009,
+        0.734419527053833,
+        1.1998622996211052,
+        0.8190442297935486,
+        0.8997376405477524,
+        1.463374104309082,
+        1.350538944530487,
+        1.1835087180614472,
+        1.3240371099829673,
+        1.403322444820404,
+        2.149280529022217,
+        2.1371682680130006,
+        2.6051794219970703,
+        3.134266621398926,
+        2.6367359077453614,
+        2.9021682273864746,
+        2.7777284118652346,
+        3.2490100632667542,
+        3.7669732330322265,
+        3.564024981689453,
+        2.304465440368652,
+        2.9117907354354857,
+        3.57571163482666,
+        3.2041259724617004,
+        2.1697021233558655,
+        1.5657260522842407,
+        1.3720391330718995,
+        1.558706689453125,
+        0.9739575270175934,
+        1.2646527061462403,
+        1.7258377660751343,
+        1.2162893053054809,
+        1.2816789051055908,
+        0.9437851461410522,
+        1.1169724729537964,
+        0.8192238623142243,
+        0.7615165826678276,
+        0.9261411437988282,
+        1.009357823753357,
+        0.6213359757423401,
+        0.6048593424797059,
+        0.6017368167161942,
+        0.5840524630784989,
+        0.5252864897727967,
+        0.5610690414428711,
+        0.6845973509550095,
+        0.5607477729558945,
+        0.6126968932867051,
+        0.5582075795173645,
+        0.5701824194669723,
+        0.5824683590888977,
+        0.5440888320446015,
+        0.6618193277835845,
+        0.5566088491201401,
+        0.6798252540588379,
+        0.5569242746114731,
+        0.5653092860221863,
+        0.5025307513594628,
+        0.5350002650260925,
+        0.5163064182400704,
+        0.5040774492263794,
+        0.4812365728378296,
+        0.47341508727073667,
+        0.4825198311924934,
+        0.4820213997364044,
+        0.4671297842979431,
+        0.4262480612754822,
+        0.4348880102574825,
+        0.4149773345947266,
+        0.4545517260074615,
+        0.4134101836204529,
+        0.43013124598264696
+      ],
+      "bridge_loss": [
+        0.9270794340786408,
+        0.045553212680667636,
+        0.003968565206974745,
+        0.002537821502238512,
+        0.0031120730198919773,
+        0.0066142574056983,
+        0.0196716277718544,
+        0.04569760949611664,
+        0.02804326199516654,
+        0.021940968203544617,
+        0.023567047103494405,
+        0.016042337491363287,
+        0.014572544375434518,
+        0.01808674999922514,
+        0.02120318498685956,
+        0.020132692527770998,
+        0.026115470457077027,
+        0.022087446881830692,
+        0.03340454182624817,
+        0.04386694201231003,
+        0.08512414672374725,
+        0.10392638924121857,
+        0.14596812286376953,
+        0.19242930736541747,
+        0.1708755298614502,
+        0.2332140768289566,
+        0.30846771535873413,
+        0.28443601269721985,
+        0.23180612392425537,
+        0.21575192351341246,
+        0.30160183690786363,
+        0.2529610634982586,
+        0.25124281091690065,
+        0.13896957349777223,
+        0.14441813020706176,
+        0.199903391456604,
+        0.13990903476476668,
+        0.12412642853856087,
+        0.19780184895992278,
+        0.09088843083381652,
+        0.09028354053497314,
+        0.10483143763542176,
+        0.10901366031169892,
+        0.06172756772786379,
+        0.048116388000547884,
+        0.059933180809021,
+        0.08071009765267372,
+        0.040531087708473204,
+        0.03966846313476562,
+        0.049442718121409414,
+        0.041820975951850414,
+        0.03792309836894274,
+        0.03355912851691246,
+        0.054180008935928343,
+        0.04611676089167595,
+        0.046126355296373364,
+        0.04175337711572647,
+        0.03904522615373135,
+        0.04093780878186226,
+        0.03443106972575188,
+        0.04773863691091537,
+        0.03512803372144699,
+        0.04503686083853245,
+        0.03661287835687399,
+        0.04466721993088722,
+        0.03356916709542274,
+        0.033895546194911,
+        0.03588070866465569,
+        0.030623928356170654,
+        0.030353828406333924,
+        0.03458711423873902,
+        0.033419507718086244,
+        0.037426383411884305,
+        0.0331623010635376,
+        0.030711766165494918,
+        0.035254054686427116,
+        0.029518259859085082,
+        0.04370544706583023,
+        0.03128685694634915,
+        0.0357342723429203
+      ],
+      "tgrad_loss": [
+        0.28240168471336363,
+        0.1879955181479454,
+        0.1416285768508911,
+        0.12150168550014497,
+        0.10923070974349976,
+        0.10512643830776215,
+        0.10700090990066528,
+        0.10979201674461364,
+        0.10227687674164772,
+        0.1073074081659317,
+        0.12808603233098984,
+        0.1089473068356514,
+        0.10942141929864883,
+        0.12269907640218734,
+        0.11955996571779251,
+        0.1084564683675766,
+        0.1133196670204401,
+        0.1114184632062912,
+        0.1333950751066208,
+        0.1294173326253891,
+        0.14347079792022704,
+        0.1475648888349533,
+        0.14359098019599914,
+        0.15614077184200287,
+        0.15338412828445436,
+        0.1580532071352005,
+        0.167467866563797,
+        0.1748211373090744,
+        0.15284905924797057,
+        0.17211710295677185,
+        0.17599477090835572,
+        0.18209742259979247,
+        0.16373461263179778,
+        0.1626895320892334,
+        0.15704822034835816,
+        0.16348580796718598,
+        0.1575368951320648,
+        0.1786741998195648,
+        0.1874880330324173,
+        0.18480085792541504,
+        0.19987909994125366,
+        0.18863038229942322,
+        0.1928264294862747,
+        0.19359489631652832,
+        0.19726645183563232,
+        0.19967118492126465,
+        0.1934531969308853,
+        0.1899699252128601,
+        0.19921578810214996,
+        0.19744101244211196,
+        0.19528203347921372,
+        0.20085754714012147,
+        0.20532003726959228,
+        0.20690523879528044,
+        0.20413482726812363,
+        0.20543130034208298,
+        0.2051466886997223,
+        0.21016712760925294,
+        0.21171300716400146,
+        0.20720643639564515,
+        0.2070989497900009,
+        0.2055615005493164,
+        0.20769256865978242,
+        0.20463782558441163,
+        0.20347574241161345,
+        0.20106599922180177,
+        0.20381363768577576,
+        0.2020677721977234,
+        0.20083382663726806,
+        0.1994964292526245,
+        0.19809593105316162,
+        0.1987339344024658,
+        0.19790175647735594,
+        0.19742349796295167,
+        0.1965873306274414,
+        0.19658677837848662,
+        0.1966778451681137,
+        0.19610850033760072,
+        0.19561053042411805,
+        0.19568100452423096
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.010387556627392769,
+        0.06787668168544769,
+        0.11108389496803284,
+        0.11367877572774887,
+        0.11491300165653229,
+        0.1093105673789978,
+        0.11488444358110428,
+        0.12266267836093903
+      ],
+      "perturbation_rho": [
+        0.0504305437207222,
+        0.11780044436454773,
+        0.23789767920970917,
+        0.24238067865371704,
+        0.22429296374320984,
+        0.25153419375419617,
+        0.25647929310798645,
+        0.22654107213020325
+      ],
+      "nudging": {
+        "0.001": [
+          -0.00042957920231856406,
+          -0.0005755086895078421,
+          -0.0007836788427084684,
+          -0.0008127648616209626,
+          -0.0008176113478839397,
+          -0.0008154284441843629,
+          -0.0008326433598995209,
+          -0.0008715562289580703
+        ],
+        "0.003": [
+          -0.0012653844896703959,
+          -0.0017247737850993872,
+          -0.002354162745177746,
+          -0.002438494935631752,
+          -0.002453066874295473,
+          -0.0024441296700388193,
+          -0.00249684345908463,
+          -0.002618872094899416
+        ],
+        "0.01": [
+          -0.003928218502551317,
+          -0.0057389335706830025,
+          -0.007835019379854202,
+          -0.008116443641483784,
+          -0.0081653306260705,
+          -0.00813683308660984,
+          -0.008312376216053963,
+          -0.00871281512081623
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.0_L8_s456.json b/results/synth_ladder_v2_lo/synth_a0.0_L8_s456.json
new file mode 100644
index 0000000..98e3c0a
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.0_L8_s456.json
@@ -0,0 +1,1638 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.0602704408168793,
+        0.5027601260185242,
+        0.43080672092437744,
+        0.4305861669540405,
+        0.35372886188030245,
+        0.35343530569076537,
+        0.3411521464467049,
+        0.3113056640148163,
+        0.3555877588272095,
+        0.35838791880607607,
+        0.310362742805481,
+        0.2821650200843811,
+        0.26945531539916995,
+        0.27178956003189086,
+        0.3010430852890015,
+        0.28751621344089506,
+        0.2822985043525696,
+        0.28170071473121644,
+        0.2461530613899231,
+        0.2909035976409912,
+        0.2241233106136322,
+        0.22891775674819947,
+        0.2648821008682251,
+        0.29351482318639754,
+        0.21875614569187166,
+        0.19591772537231444,
+        0.19844525773525237,
+        0.1983874746322632,
+        0.21039879322052002,
+        0.1819182156085968,
+        0.2276622181892395,
+        0.191768607711792,
+        0.18294820175170898,
+        0.17453236331939698,
+        0.20749281368255615,
+        0.17378860583305358,
+        0.1630034108877182,
+        0.1688230975151062,
+        0.1894659786939621,
+        0.15866619582176208,
+        0.17937585167884826,
+        0.16238984402418136,
+        0.15362602603435516,
+        0.15638497247695923,
+        0.14544389412403105,
+        0.14327869791686534,
+        0.13311278290748596,
+        0.1496122142314911,
+        0.15034341797828674,
+        0.14216417129039766,
+        0.14079184398651123,
+        0.14070965950489045,
+        0.12715232799053192,
+        0.1181271733045578,
+        0.12163998708724975,
+        0.11910948114395141,
+        0.12497851085662842,
+        0.12175717628002167,
+        0.11586888887882232,
+        0.11415803298354149,
+        0.10847577197551728,
+        0.11201638069152832,
+        0.10924316263198852,
+        0.10966023950576782,
+        0.10431095411777497,
+        0.10155300235748291,
+        0.10120472279787064,
+        0.09946133661270141,
+        0.09955022404193878,
+        0.09832342414855957,
+        0.09743722066879272,
+        0.0961718876838684,
+        0.09559566440582275,
+        0.09503851671218871,
+        0.0945616308093071,
+        0.09419615615606308,
+        0.09386814022064209,
+        0.09363705427646637,
+        0.09348938752114773,
+        0.09341154512763024
+      ],
+      "train_acc": [
+        0.6262,
+        0.8013,
+        0.8277,
+        0.8347,
+        0.8597,
+        0.856,
+        0.8639,
+        0.8759,
+        0.8605,
+        0.8558,
+        0.876,
+        0.8879,
+        0.8957,
+        0.8886,
+        0.8799,
+        0.8868,
+        0.8868,
+        0.8889,
+        0.898,
+        0.8824,
+        0.9111,
+        0.9088,
+        0.8934,
+        0.8869,
+        0.9131,
+        0.9217,
+        0.9206,
+        0.9224,
+        0.9156,
+        0.928,
+        0.9094,
+        0.9244,
+        0.9292,
+        0.9307,
+        0.9179,
+        0.9306,
+        0.938,
+        0.9331,
+        0.9251,
+        0.9413,
+        0.9292,
+        0.9359,
+        0.9409,
+        0.9407,
+        0.9444,
+        0.9484,
+        0.9544,
+        0.9445,
+        0.9418,
+        0.9453,
+        0.9472,
+        0.9467,
+        0.957,
+        0.9605,
+        0.9597,
+        0.9608,
+        0.9553,
+        0.9582,
+        0.9636,
+        0.9629,
+        0.968,
+        0.9654,
+        0.966,
+        0.9668,
+        0.9684,
+        0.9709,
+        0.9703,
+        0.9731,
+        0.9733,
+        0.973,
+        0.9743,
+        0.9753,
+        0.976,
+        0.9762,
+        0.9765,
+        0.9766,
+        0.9766,
+        0.9769,
+        0.9771,
+        0.9771
+      ],
+      "test_acc": [
+        0.786,
+        0.819,
+        0.8195,
+        0.8455,
+        0.8495,
+        0.847,
+        0.857,
+        0.8615,
+        0.851,
+        0.862,
+        0.862,
+        0.8575,
+        0.8705,
+        0.86,
+        0.8645,
+        0.859,
+        0.864,
+        0.8685,
+        0.866,
+        0.8715,
+        0.8755,
+        0.869,
+        0.8595,
+        0.868,
+        0.875,
+        0.8755,
+        0.8865,
+        0.8725,
+        0.8845,
+        0.8835,
+        0.871,
+        0.881,
+        0.881,
+        0.891,
+        0.883,
+        0.8805,
+        0.891,
+        0.8805,
+        0.889,
+        0.889,
+        0.89,
+        0.8835,
+        0.896,
+        0.889,
+        0.888,
+        0.892,
+        0.898,
+        0.893,
+        0.899,
+        0.8955,
+        0.892,
+        0.895,
+        0.9015,
+        0.8965,
+        0.8935,
+        0.895,
+        0.902,
+        0.896,
+        0.9005,
+        0.8985,
+        0.8925,
+        0.9015,
+        0.899,
+        0.8965,
+        0.8985,
+        0.8985,
+        0.9005,
+        0.899,
+        0.8965,
+        0.9005,
+        0.8975,
+        0.901,
+        0.899,
+        0.8975,
+        0.8975,
+        0.898,
+        0.8965,
+        0.8965,
+        0.8965,
+        0.8965
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9283311367034912,
+        0.9162832498550415,
+        0.8925424814224243,
+        0.8799441456794739,
+        0.8746041655540466,
+        0.8698863983154297,
+        0.8666130304336548,
+        0.863634467124939
+      ],
+      "perturbation_rho": [
+        0.9999991059303284,
+        0.9999967217445374,
+        0.9999891519546509,
+        0.9999651908874512,
+        0.9999410510063171,
+        0.9999043941497803,
+        0.9998966455459595,
+        0.9999027252197266
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0268093291670084,
+          -0.012417184188961983,
+          -0.006203295662999153,
+          -0.0037101488560438156,
+          -0.0026736343279480934,
+          -0.002185049932450056,
+          -0.0019234392093494534,
+          -0.0017743848729878664
+        ],
+        "0.003": [
+          -0.07339517027139664,
+          -0.0357743538916111,
+          -0.018248513340950012,
+          -0.011002784594893456,
+          -0.007955053821206093,
+          -0.0065111806616187096,
+          -0.005736147053539753,
+          -0.005294123664498329
+        ],
+        "0.01": [
+          -0.17811693251132965,
+          -0.10346511751413345,
+          -0.05678309500217438,
+          -0.035222865641117096,
+          -0.025761041790246964,
+          -0.021198198199272156,
+          -0.01872769370675087,
+          -0.017311803996562958
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.130140475845337,
+        1.068121821975708,
+        0.6906124912261963,
+        0.5849464416503907,
+        0.539908002948761,
+        0.5278588153839111,
+        0.4802340653896332,
+        0.4802248366832733,
+        0.5312753393173217,
+        0.5193623352050781,
+        0.5183892659187317,
+        0.5653032401919365,
+        0.5576160436630249,
+        0.5253325591087341,
+        0.6005686638832092,
+        0.600859852027893,
+        0.6416343383789063,
+        0.6754157733917237,
+        0.6742553455352783,
+        0.6983654169082641,
+        0.7714478206634522,
+        0.907026005935669,
+        0.7574946401596069,
+        0.7974853692531586,
+        0.6163667502880097,
+        0.6207158555030823,
+        0.6624710424423218,
+        0.767758971786499,
+        0.7936295557022095,
+        0.7818759674072265,
+        0.6439841373443603,
+        0.7241471338272095,
+        0.7835567468881607,
+        0.5556868800163269,
+        0.7838432991981507,
+        0.6678941816329956,
+        0.5996702154159546,
+        0.6219454681396485,
+        0.6077403234004974,
+        0.5930344202041626,
+        0.7072095224380494,
+        0.6957413219451904,
+        0.6925682455062866,
+        0.5746548117637634,
+        0.5665205227851867,
+        0.652870412158966,
+        0.5017711290359497,
+        0.5837478618621826,
+        0.4854253540992737,
+        0.4386099347114563,
+        0.4709485713005066,
+        0.5079970285415649,
+        0.5075192336320877,
+        0.49625477714538574,
+        0.5056534718036652,
+        0.4276254318237305,
+        0.5216204251050949,
+        0.41532413592338563,
+        0.42688399028778073,
+        0.4528659384965897,
+        0.40737592430114744,
+        0.4285537419319153,
+        0.4251507745742798,
+        0.3982658393383026,
+        0.3921439680337906,
+        0.4048129905462265,
+        0.3849823941230774,
+        0.37166397957801817,
+        0.3756074117660522,
+        0.37098817892074587,
+        0.37144046624898913,
+        0.36408291239738466,
+        0.36373486807346345,
+        0.3633287199020386,
+        0.35742094442248346,
+        0.35612085094451906,
+        0.35380580410957335,
+        0.3545500941991806,
+        0.3522390522420406,
+        0.3517058536529541
+      ],
+      "train_acc": [
+        0.2243,
+        0.6106,
+        0.7399,
+        0.7827,
+        0.794,
+        0.8004,
+        0.8171,
+        0.8253,
+        0.8161,
+        0.8205,
+        0.8272,
+        0.8178,
+        0.8203,
+        0.8305,
+        0.8221,
+        0.8243,
+        0.8261,
+        0.8204,
+        0.8166,
+        0.821,
+        0.8069,
+        0.7971,
+        0.8102,
+        0.8044,
+        0.8348,
+        0.8323,
+        0.8294,
+        0.8073,
+        0.8135,
+        0.8034,
+        0.829,
+        0.8167,
+        0.811,
+        0.8429,
+        0.8065,
+        0.8205,
+        0.8317,
+        0.8341,
+        0.8319,
+        0.8325,
+        0.8167,
+        0.8122,
+        0.818,
+        0.8326,
+        0.8371,
+        0.8246,
+        0.8514,
+        0.8328,
+        0.8522,
+        0.8603,
+        0.8509,
+        0.8455,
+        0.8445,
+        0.8496,
+        0.8461,
+        0.86,
+        0.8445,
+        0.8679,
+        0.8654,
+        0.8542,
+        0.8667,
+        0.8642,
+        0.8677,
+        0.8696,
+        0.8685,
+        0.8666,
+        0.8719,
+        0.8757,
+        0.8746,
+        0.8747,
+        0.8768,
+        0.8776,
+        0.8759,
+        0.8769,
+        0.8774,
+        0.8784,
+        0.8793,
+        0.8792,
+        0.8796,
+        0.8795
+      ],
+      "test_acc": [
+        0.463,
+        0.6815,
+        0.744,
+        0.7455,
+        0.7515,
+        0.7875,
+        0.7565,
+        0.7965,
+        0.764,
+        0.77,
+        0.778,
+        0.7455,
+        0.768,
+        0.7625,
+        0.8125,
+        0.745,
+        0.7205,
+        0.774,
+        0.709,
+        0.7445,
+        0.7275,
+        0.787,
+        0.7495,
+        0.7855,
+        0.809,
+        0.7825,
+        0.718,
+        0.7635,
+        0.7445,
+        0.7795,
+        0.755,
+        0.7165,
+        0.7715,
+        0.734,
+        0.768,
+        0.778,
+        0.76,
+        0.7275,
+        0.7785,
+        0.714,
+        0.765,
+        0.7515,
+        0.779,
+        0.713,
+        0.7855,
+        0.797,
+        0.7775,
+        0.79,
+        0.811,
+        0.7785,
+        0.7895,
+        0.7415,
+        0.7975,
+        0.7715,
+        0.8085,
+        0.7865,
+        0.8095,
+        0.8235,
+        0.81,
+        0.8135,
+        0.8165,
+        0.808,
+        0.828,
+        0.8165,
+        0.8235,
+        0.8185,
+        0.8275,
+        0.828,
+        0.8235,
+        0.824,
+        0.823,
+        0.824,
+        0.8315,
+        0.8305,
+        0.832,
+        0.834,
+        0.831,
+        0.833,
+        0.8335,
+        0.833
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.020978286862373352,
+        0.16464680433273315,
+        0.15073026716709137,
+        0.08116275072097778,
+        0.08070477098226547,
+        0.0867747962474823,
+        0.10854049026966095,
+        0.11201675236225128
+      ],
+      "perturbation_rho": [
+        0.032643549144268036,
+        0.2071959227323532,
+        0.2057623416185379,
+        0.09326457977294922,
+        0.06205561012029648,
+        0.1389445811510086,
+        0.11340519785881042,
+        0.08505052328109741
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0014469942543655634,
+          -0.000573523691855371,
+          -0.00041266781045123935,
+          -0.00018763300613500178,
+          -0.00020507823501247913,
+          -0.00022557468037120998,
+          -0.0002862402761820704,
+          -0.00027868736651726067
+        ],
+        "0.003": [
+          -0.004212609492242336,
+          -0.0017168434569612145,
+          -0.0012332911137491465,
+          -0.0005597122944891453,
+          -0.000612777890637517,
+          -0.0006744061829522252,
+          -0.0008597993873991072,
+          -0.0008341555367223918
+        ],
+        "0.01": [
+          -0.012655803002417088,
+          -0.005697320215404034,
+          -0.004094945732504129,
+          -0.0018561023753136396,
+          -0.0020380420610308647,
+          -0.0022426587529480457,
+          -0.002856952603906393,
+          -0.0027735023759305477
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.6613537705421448,
+        0.8804613601207734,
+        0.6975507205963135,
+        0.7853355399608613,
+        0.8572468722343445,
+        0.9299439128875733,
+        0.9885676727294922,
+        1.0133089805603028,
+        0.9962917245864868,
+        0.9606268395423889,
+        0.9880515659332275,
+        0.9777737205505371,
+        0.9968037183761597,
+        0.9445726100921631,
+        1.020095972442627,
+        1.0027801685333253,
+        0.9952171697616577,
+        0.9394625225067139,
+        0.9024322465896606,
+        0.8761118396759033,
+        0.8587080497741699,
+        0.8608775177001953,
+        0.858176763343811,
+        0.8500239983558655,
+        0.8605942026138306,
+        0.8296343204498291,
+        0.8473277267456054,
+        0.9032470754623413,
+        0.8595288021087647,
+        0.8529232517242432,
+        0.8514831623077392,
+        0.7993372547149659,
+        0.7925733268737793,
+        0.7777183090209961,
+        0.752255222415924,
+        0.737820636177063,
+        0.718349192905426,
+        0.7632894110679627,
+        0.7490254787445069,
+        0.7206074246406555,
+        0.72772101688385,
+        0.7681838896751404,
+        0.7500456344604493,
+        0.7505516075134278,
+        0.7438103253364563,
+        0.7039294353485107,
+        0.7070825775623322,
+        0.7316446516036987,
+        0.6909497563362121,
+        0.6812596918106079,
+        0.6990848143577576,
+        0.6861800757408142,
+        0.6805085423469543,
+        0.6727995056152344,
+        0.6663222888946533,
+        0.6554413802146911,
+        0.65927137966156,
+        0.6400224656105041,
+        0.626771753025055,
+        0.6305665927886963,
+        0.6282225363254547,
+        0.6152347024440765,
+        0.6126221405029297,
+        0.6149387537956238,
+        0.6082951297283172,
+        0.5970498047828674,
+        0.6011845873832703,
+        0.5955050713539124,
+        0.5878239162445068,
+        0.5866915851593018,
+        0.5876003602027893,
+        0.5810875995635987,
+        0.5816027210235596,
+        0.5784582069873809,
+        0.5760020084381103,
+        0.5744486512184143,
+        0.5738656497955322,
+        0.5729139318466187,
+        0.5723003579139709,
+        0.5719887516021729
+      ],
+      "train_acc": [
+        0.3893,
+        0.6696,
+        0.7401,
+        0.7421,
+        0.719,
+        0.6886,
+        0.6631,
+        0.6603,
+        0.6661,
+        0.6592,
+        0.6494,
+        0.6491,
+        0.6455,
+        0.6682,
+        0.6508,
+        0.6536,
+        0.6601,
+        0.6722,
+        0.6882,
+        0.6953,
+        0.7005,
+        0.7068,
+        0.6992,
+        0.6956,
+        0.7035,
+        0.7091,
+        0.703,
+        0.689,
+        0.6964,
+        0.7009,
+        0.7001,
+        0.7172,
+        0.7219,
+        0.7283,
+        0.7337,
+        0.7369,
+        0.745,
+        0.7332,
+        0.7355,
+        0.7415,
+        0.7396,
+        0.7345,
+        0.736,
+        0.7369,
+        0.7385,
+        0.7482,
+        0.7451,
+        0.7373,
+        0.7529,
+        0.7547,
+        0.7536,
+        0.7591,
+        0.7564,
+        0.7642,
+        0.7664,
+        0.766,
+        0.7665,
+        0.7756,
+        0.78,
+        0.7785,
+        0.7795,
+        0.7829,
+        0.7842,
+        0.7826,
+        0.7866,
+        0.7876,
+        0.7873,
+        0.7893,
+        0.7907,
+        0.7927,
+        0.7913,
+        0.7943,
+        0.7931,
+        0.796,
+        0.7968,
+        0.7963,
+        0.7959,
+        0.7962,
+        0.7964,
+        0.7964
+      ],
+      "test_acc": [
+        0.5895,
+        0.683,
+        0.724,
+        0.7075,
+        0.659,
+        0.6335,
+        0.64,
+        0.645,
+        0.645,
+        0.6335,
+        0.6375,
+        0.6195,
+        0.651,
+        0.6245,
+        0.648,
+        0.6265,
+        0.6325,
+        0.663,
+        0.644,
+        0.634,
+        0.6665,
+        0.6655,
+        0.6565,
+        0.6745,
+        0.6635,
+        0.669,
+        0.6515,
+        0.631,
+        0.6075,
+        0.611,
+        0.6985,
+        0.6515,
+        0.678,
+        0.6845,
+        0.6845,
+        0.696,
+        0.6915,
+        0.689,
+        0.7035,
+        0.6985,
+        0.695,
+        0.6895,
+        0.692,
+        0.689,
+        0.716,
+        0.704,
+        0.6965,
+        0.708,
+        0.7095,
+        0.701,
+        0.735,
+        0.71,
+        0.722,
+        0.722,
+        0.7365,
+        0.734,
+        0.7335,
+        0.728,
+        0.733,
+        0.7315,
+        0.728,
+        0.74,
+        0.7435,
+        0.7445,
+        0.746,
+        0.7455,
+        0.7425,
+        0.7465,
+        0.7495,
+        0.7565,
+        0.755,
+        0.742,
+        0.7545,
+        0.7535,
+        0.753,
+        0.749,
+        0.749,
+        0.7495,
+        0.7505,
+        0.7495
+      ],
+      "state_pred_error": [
+        0.6588439248561859,
+        0.18840705387592316,
+        0.14289978892803193,
+        0.15212055261135102,
+        0.17622629220485686,
+        0.19014827156066894,
+        0.1907501521587372,
+        0.1974239867210388,
+        0.20479401926994323,
+        0.19324371876716614,
+        0.1692460091352463,
+        0.14547201271057128,
+        0.13392872540950776,
+        0.13207265970706938,
+        0.12733380571603775,
+        0.12442956283092499,
+        0.11992262068986893,
+        0.11454836254119873,
+        0.10640433104038238,
+        0.09588282935619354,
+        0.08941714116334915,
+        0.08326569969654084,
+        0.08106024689674378,
+        0.07807673720121383,
+        0.06985928665399552,
+        0.05780385282039642,
+        0.04903316358923912,
+        0.042540194964408876,
+        0.03769502246379852,
+        0.03340193069577217,
+        0.030505492842197418,
+        0.027835199296474458,
+        0.026414455169439317,
+        0.026154682007431984,
+        0.027012317779660226,
+        0.027285932829976083,
+        0.02783989610671997,
+        0.02848111428618431,
+        0.02768479132056236,
+        0.026838592088222504,
+        0.025692131254076957,
+        0.0250046414911747,
+        0.024446581745147706,
+        0.023822997540235518,
+        0.023123727387189864,
+        0.023240181931853295,
+        0.022701505839824675,
+        0.022446804578602313,
+        0.02224079295396805,
+        0.02201542984545231,
+        0.022186503106355667,
+        0.022374201011657716,
+        0.022197162532806396,
+        0.022024760249257088,
+        0.021556022208929063,
+        0.020752609607577324,
+        0.02029846299290657,
+        0.01939405950307846,
+        0.01925926080942154,
+        0.0179039378374815,
+        0.01723805043101311,
+        0.016645756682753563,
+        0.016013126088678838,
+        0.015421504980325698,
+        0.014981058233976365,
+        0.014707353785634042,
+        0.014117280274629593,
+        0.013762151800096035,
+        0.013112149319052696,
+        0.012881575208902358,
+        0.01252510030567646,
+        0.012011728531122208,
+        0.011849733792245389,
+        0.01146787409633398,
+        0.011190799026191234,
+        0.01094292304366827,
+        0.01079139669984579,
+        0.010453094108402729,
+        0.010252758046984672,
+        0.010227990358322859
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8467778563499451,
+        0.3549606502056122,
+        0.1711018681526184,
+        0.12375819683074951,
+        0.1153455525636673,
+        0.12219913303852081,
+        0.12895643711090088,
+        0.10622675716876984
+      ],
+      "perturbation_rho": [
+        0.7416437268257141,
+        0.2796669900417328,
+        0.14060860872268677,
+        0.09820520132780075,
+        0.10454020649194717,
+        0.08740514516830444,
+        0.10375625640153885,
+        0.12008601427078247
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02524612657725811,
+          -0.0010118680074810982,
+          -0.00039384554838761687,
+          -0.0002958686964120716,
+          -0.00027316075284034014,
+          -0.0002826714771799743,
+          -0.0002984246239066124,
+          -0.00024543559993617237
+        ],
+        "0.003": [
+          -0.07356468588113785,
+          -0.003032396547496319,
+          -0.0011817947961390018,
+          -0.0008877563523128629,
+          -0.0008196210255846381,
+          -0.0008473420166410506,
+          -0.0008945445879362524,
+          -0.0007367263897322118
+        ],
+        "0.01": [
+          -0.2212277054786682,
+          -0.010068328119814396,
+          -0.00393392750993371,
+          -0.002955838106572628,
+          -0.0027290289290249348,
+          -0.0028208147268742323,
+          -0.002979037119075656,
+          -0.002453283406794071
+        ]
+      },
+      "state_pred_error_per_layer": [
+        10942.7939453125,
+        10293.740234375,
+        7482.4482421875,
+        5008.9619140625,
+        4863.818359375,
+        4492.451171875,
+        3565.2744140625,
+        3837.47998046875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.1349513092041015,
+        1.0799473155021668,
+        0.6904095640182495,
+        0.5730169864654541,
+        0.5376711503982544,
+        0.5217435983657837,
+        0.5241446275711059,
+        0.5752555076599121,
+        0.5162794561386108,
+        0.5799625160217285,
+        0.5156625980377197,
+        0.54727692527771,
+        0.5622692403793335,
+        0.6077177556037903,
+        0.6142744152069092,
+        0.5783923351287842,
+        0.5948413852691651,
+        0.7985807825088501,
+        0.7876970001220703,
+        1.0439940561294556,
+        0.7259676246643066,
+        0.8126457204818726,
+        0.7394346284866333,
+        0.8870538883209228,
+        0.8942244791984558,
+        1.018878134918213,
+        1.1607880065917968,
+        1.2915550483703613,
+        1.0802051795959473,
+        1.132888382291794,
+        1.0752713064193726,
+        1.2749524337768554,
+        1.3533095266342163,
+        1.254620951271057,
+        1.327561699104309,
+        1.3512781272888184,
+        1.358589473247528,
+        1.3133805484771728,
+        1.3522217433929444,
+        1.2569283782958984,
+        1.2115153579711915,
+        1.1729324398040772,
+        1.458994796180725,
+        1.1794059185028076,
+        1.1593233011245727,
+        1.1951527072906494,
+        1.3532650127410888,
+        1.2816025928497314,
+        1.2753959981918335,
+        1.3296147323608398,
+        1.3296164437294007,
+        1.4913486896514894,
+        1.4076004596948624,
+        1.4025042806625365,
+        1.5456968538284301,
+        1.5032260831832887,
+        1.541390106201172,
+        1.5214945098876953,
+        1.5504541542053223,
+        1.6073409852027893,
+        1.5711617599487304,
+        1.5610263828277589,
+        1.5516953735351562,
+        1.538286647415161,
+        1.5312161500930785,
+        1.5014611629486083,
+        1.49632290391922,
+        1.4762050870895387,
+        1.4426008732795714,
+        1.4320516025543213,
+        1.4142663345336914,
+        1.4014085182189941,
+        1.3942050539970399,
+        1.3843670928955079,
+        1.381881692504883,
+        1.3740321586608886,
+        1.370679066848755,
+        1.3696322021484375,
+        1.3669484914779664,
+        1.3658903411865235
+      ],
+      "train_acc": [
+        0.2258,
+        0.6057,
+        0.7399,
+        0.781,
+        0.794,
+        0.806,
+        0.8037,
+        0.7994,
+        0.8165,
+        0.809,
+        0.8278,
+        0.8214,
+        0.825,
+        0.8179,
+        0.8185,
+        0.8293,
+        0.8265,
+        0.7944,
+        0.8036,
+        0.7689,
+        0.8042,
+        0.7954,
+        0.7949,
+        0.7834,
+        0.7894,
+        0.767,
+        0.7489,
+        0.7289,
+        0.7411,
+        0.7199,
+        0.7209,
+        0.6906,
+        0.6894,
+        0.6987,
+        0.6832,
+        0.6712,
+        0.6676,
+        0.6648,
+        0.6652,
+        0.6608,
+        0.665,
+        0.6695,
+        0.6347,
+        0.6647,
+        0.6674,
+        0.6599,
+        0.6289,
+        0.637,
+        0.6461,
+        0.6344,
+        0.6359,
+        0.6245,
+        0.6301,
+        0.6303,
+        0.6141,
+        0.6183,
+        0.6157,
+        0.6167,
+        0.6148,
+        0.6119,
+        0.6073,
+        0.6164,
+        0.6129,
+        0.6116,
+        0.6111,
+        0.6167,
+        0.6114,
+        0.6142,
+        0.6226,
+        0.6232,
+        0.625,
+        0.6244,
+        0.6286,
+        0.628,
+        0.6261,
+        0.6275,
+        0.6284,
+        0.6295,
+        0.6297,
+        0.6298
+      ],
+      "test_acc": [
+        0.452,
+        0.688,
+        0.7325,
+        0.7685,
+        0.7775,
+        0.752,
+        0.767,
+        0.7435,
+        0.757,
+        0.785,
+        0.76,
+        0.7375,
+        0.761,
+        0.7525,
+        0.786,
+        0.766,
+        0.681,
+        0.745,
+        0.6875,
+        0.737,
+        0.7465,
+        0.7495,
+        0.707,
+        0.731,
+        0.7445,
+        0.7165,
+        0.654,
+        0.6635,
+        0.699,
+        0.6565,
+        0.6125,
+        0.609,
+        0.6125,
+        0.669,
+        0.634,
+        0.6155,
+        0.6165,
+        0.612,
+        0.5675,
+        0.669,
+        0.619,
+        0.514,
+        0.632,
+        0.6165,
+        0.635,
+        0.533,
+        0.586,
+        0.5425,
+        0.554,
+        0.6015,
+        0.5345,
+        0.586,
+        0.6125,
+        0.5765,
+        0.5875,
+        0.613,
+        0.608,
+        0.61,
+        0.5825,
+        0.5925,
+        0.5925,
+        0.5935,
+        0.608,
+        0.6025,
+        0.6035,
+        0.5975,
+        0.611,
+        0.605,
+        0.6095,
+        0.6115,
+        0.6155,
+        0.616,
+        0.6105,
+        0.6155,
+        0.616,
+        0.615,
+        0.6185,
+        0.6185,
+        0.618,
+        0.617
+      ],
+      "value_loss": [
+        2.727321440219879,
+        0.9396097582817078,
+        0.8612026205062866,
+        0.8072550956726074,
+        0.7662750400066376,
+        0.8116222425937653,
+        0.7918028060913086,
+        1.058762281036377,
+        0.9410865303039551,
+        1.1683196662902833,
+        0.8891641233444214,
+        1.0408354179382324,
+        1.2426973400115966,
+        1.3723524351119996,
+        1.3864970308303832,
+        1.2711094731330872,
+        1.4452000873565674,
+        2.0964325157165526,
+        2.503941488647461,
+        3.8773516985416414,
+        2.1931466732025147,
+        2.4717007579803467,
+        1.8694116882324219,
+        2.562740281677246,
+        2.7024575206756594,
+        3.388196944236755,
+        4.119316976737976,
+        4.325601746749878,
+        3.317746393966675,
+        3.243412302494049,
+        2.8255897121429445,
+        3.7306121185302734,
+        4.122640119934082,
+        3.4347802352905275,
+        3.8012741462707518,
+        3.5787492347717285,
+        3.369715265369415,
+        2.77193868560791,
+        3.474485213088989,
+        2.375825690841675,
+        2.1312103996276854,
+        1.956772960472107,
+        3.083518902397156,
+        1.9400283665657043,
+        1.692312808418274,
+        1.5720748712539674,
+        1.8764948084831239,
+        1.6743739032745362,
+        1.567044317626953,
+        1.7899606132507324,
+        1.9826876150131225,
+        2.5111199203491212,
+        1.8491062855243683,
+        1.746228759765625,
+        2.085294245147705,
+        1.9948427753448486,
+        1.9512831954956054,
+        2.158460530471802,
+        2.0963551795959474,
+        2.327825161552429,
+        2.352580466079712,
+        2.054654391479492,
+        1.8559182556152343,
+        1.8292891555786133,
+        1.755587695646286,
+        1.710701921081543,
+        1.6332559819698333,
+        1.5935078775405884,
+        1.5094772003889083,
+        1.5422865842342377,
+        1.476211569213867,
+        1.4243068096637725,
+        1.2866611572265625,
+        1.2408681606292724,
+        1.2721347715377807,
+        1.1996249546051025,
+        1.210354462814331,
+        1.1556780391693116,
+        1.1320207769393922,
+        1.2871107803344726
+      ],
+      "term_loss": [
+        1.6279608231544496,
+        0.704119206237793,
+        0.7059318660736084,
+        0.6708632150650025,
+        0.6246756870269775,
+        0.6474101797103882,
+        0.6305780605316162,
+        0.9013450145721436,
+        0.8003977013587952,
+        1.014212282562256,
+        0.7516019021987915,
+        0.8989673347473145,
+        1.1009173652648925,
+        1.221914840745926,
+        1.2337085500240326,
+        1.1299663187503814,
+        1.2949002643585206,
+        1.9072193572998046,
+        2.2973386978149413,
+        3.4965499984025956,
+        1.9051358992099763,
+        2.1613095233917234,
+        1.5260497505187989,
+        2.1684676694869993,
+        2.3560955852508543,
+        3.0179900035858154,
+        3.702320911979675,
+        3.7875602326393127,
+        2.8640588617324827,
+        2.8004565309524536,
+        2.397008271789551,
+        3.191488564300537,
+        3.68539259185791,
+        2.979008136749268,
+        3.262051542663574,
+        3.0784937271118165,
+        2.832118960571289,
+        2.343948299407959,
+        2.996490676879883,
+        1.9708608936309815,
+        1.7158579580783844,
+        1.5594909168243407,
+        2.6169842109680177,
+        1.5474250222682953,
+        1.3258218050837516,
+        1.1993716355800628,
+        1.4649041637420654,
+        1.2486765979766845,
+        1.1667367574691772,
+        1.3506693029403687,
+        1.5352664937973022,
+        2.035203108596802,
+        1.457682236149907,
+        1.3602924033164978,
+        1.679940075302124,
+        1.588972739124298,
+        1.552276259613037,
+        1.731438402557373,
+        1.7071564056396484,
+        1.8799896495819093,
+        1.9350618648529052,
+        1.6424618713378907,
+        1.4868921995162965,
+        1.446955292892456,
+        1.3913815165519714,
+        1.34365530128479,
+        1.2715293394446372,
+        1.2260353670597077,
+        1.1480308882594108,
+        1.1766893856525422,
+        1.1144582271575927,
+        1.0618839118480683,
+        0.9506599808931351,
+        0.9098234622478485,
+        0.9204758085250855,
+        0.8746725267410278,
+        0.8588070724487304,
+        0.8281577826499938,
+        0.797250756931305,
+        0.9274139808654785
+      ],
+      "bridge_loss": [
+        0.8083143433531106,
+        0.03534272773116827,
+        0.004054905174672604,
+        0.0025750217221677304,
+        0.0111042478621006,
+        0.03642336260080337,
+        0.03164129929542542,
+        0.01822726946026087,
+        0.013087374910712242,
+        0.01670566949248314,
+        0.012304777045547962,
+        0.013311486148834229,
+        0.012470375210046769,
+        0.015150112447142601,
+        0.017846742632985114,
+        0.012756926289200783,
+        0.01719350122511387,
+        0.029539665845036506,
+        0.049753447246551515,
+        0.19335796689391135,
+        0.1377138121843338,
+        0.14538880939483642,
+        0.1858158534049988,
+        0.22088744847774505,
+        0.17615320081710814,
+        0.17890373020172118,
+        0.208697167468071,
+        0.317703052854538,
+        0.2462163796842098,
+        0.21817022037506104,
+        0.20710145602226257,
+        0.2946344936847687,
+        0.18753280954360962,
+        0.21550205829143523,
+        0.28386482191085816,
+        0.238300489795208,
+        0.2713253611803055,
+        0.16291713156700136,
+        0.21267032642364503,
+        0.14305857858657836,
+        0.1569474487543106,
+        0.14258797616362573,
+        0.18065397282838822,
+        0.13496598809361457,
+        0.11368236303329468,
+        0.11145756494998932,
+        0.12573257199525834,
+        0.14761312683820724,
+        0.12837004759311677,
+        0.15965413780212404,
+        0.1698465512096882,
+        0.18340668123960496,
+        0.10641542260348796,
+        0.10253700153827668,
+        0.10657473990917206,
+        0.1121935983300209,
+        0.10271678879261018,
+        0.13303805556297302,
+        0.09351474790573121,
+        0.14432539250850676,
+        0.11737795681953431,
+        0.11367511397600175,
+        0.07074648933410645,
+        0.08508506771326065,
+        0.06773971323072911,
+        0.07468509637117386,
+        0.06730701846480369,
+        0.07540959911942482,
+        0.07412677040994167,
+        0.08127087873220444,
+        0.07701363701820374,
+        0.07957754820287227,
+        0.05529560489952564,
+        0.05010534638762474,
+        0.0712317577123642,
+        0.046139729899168015,
+        0.072980900400877,
+        0.04892427727878094,
+        0.056062604546546935,
+        0.0815536917924881
+      ],
+      "tgrad_loss": [
+        0.2910462556838989,
+        0.2001478245973587,
+        0.15121584887504577,
+        0.13381686885356903,
+        0.13049510194063188,
+        0.12778870586156846,
+        0.129583452129364,
+        0.13919000265598297,
+        0.1276014597415924,
+        0.13740170998573303,
+        0.12525744400024413,
+        0.12855659551620482,
+        0.12930960359573365,
+        0.13528747370243072,
+        0.13494173312187194,
+        0.12838622679710388,
+        0.1331063397884369,
+        0.15967349395751954,
+        0.15684934887886048,
+        0.18744370300769805,
+        0.15029693999290467,
+        0.16500240364074706,
+        0.1575460779428482,
+        0.17338516240119933,
+        0.1702087482213974,
+        0.19130323677062988,
+        0.2082989068508148,
+        0.22033847556114197,
+        0.20747117023468017,
+        0.2247855720281601,
+        0.2214799639225006,
+        0.2444890670776367,
+        0.24971474064588547,
+        0.24027000885009767,
+        0.2553577440261841,
+        0.26195502963066103,
+        0.2662709293603897,
+        0.2650732141494751,
+        0.2653242133140564,
+        0.261906224489212,
+        0.2584049981594086,
+        0.25469407353401186,
+        0.28588071343898774,
+        0.2576373676300049,
+        0.25280862176418306,
+        0.2612456651687622,
+        0.28585807564258575,
+        0.27808416323661805,
+        0.27193750815391543,
+        0.2796371641159058,
+        0.2775745363712311,
+        0.2925101243019104,
+        0.2850086217224598,
+        0.2833993576049805,
+        0.2987794400215149,
+        0.2936764407157898,
+        0.2962901576042175,
+        0.2939840517044067,
+        0.2956840163230896,
+        0.3035101066350937,
+        0.30014064073562624,
+        0.29851739921569825,
+        0.2982795658111572,
+        0.297248807144165,
+        0.29646646108627317,
+        0.2923615251541138,
+        0.2944196360826492,
+        0.2920629088878632,
+        0.2873195513010025,
+        0.2843263193130493,
+        0.28473971853256225,
+        0.28284534950256346,
+        0.28070557026863097,
+        0.2809393483161926,
+        0.2804271911859512,
+        0.27881269562244415,
+        0.2785664937496185,
+        0.2785959745883942,
+        0.27870741724967957,
+        0.2781431001186371
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.03283574804663658,
+        0.05836774408817291,
+        0.11590129137039185,
+        0.10100162029266357,
+        0.1079024076461792,
+        0.10276803374290466,
+        0.11581481993198395,
+        0.11350809782743454
+      ],
+      "perturbation_rho": [
+        0.06095704063773155,
+        0.13836193084716797,
+        0.1803440898656845,
+        0.1439131498336792,
+        0.14064353704452515,
+        0.15858328342437744,
+        0.22606094181537628,
+        0.17918413877487183
+      ],
+      "nudging": {
+        "0.001": [
+          -0.002448005136102438,
+          -0.0006180563941597939,
+          -0.0009603539947420359,
+          -0.0008934920188039541,
+          -0.0009336093789897859,
+          -0.0008919704705476761,
+          -0.0009885210311040282,
+          -0.000981275225058198
+        ],
+        "0.003": [
+          -0.007285828702151775,
+          -0.0018541133031249046,
+          -0.00287721143104136,
+          -0.0026775901205837727,
+          -0.00279964879155159,
+          -0.002672631060704589,
+          -0.002965346910059452,
+          -0.0029417702462524176
+        ],
+        "0.01": [
+          -0.023668643087148666,
+          -0.006166210863739252,
+          -0.009575091302394867,
+          -0.00891521479934454,
+          -0.00932026281952858,
+          -0.008899858221411705,
+          -0.009868312627077103,
+          -0.009792262688279152
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L12_s123.json b/results/synth_ladder_v2_lo/synth_a0.25_L12_s123.json
new file mode 100644
index 0000000..80dd4af
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L12_s123.json
@@ -0,0 +1,1722 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.0251480885505677,
+        0.5381011812925339,
+        0.41018714437484743,
+        0.41668477268218995,
+        0.3987781819820404,
+        0.34647837781906127,
+        0.3328484351158142,
+        0.3411853968143463,
+        0.31531344504356384,
+        0.2811115964889526,
+        0.3177991699934006,
+        0.276431111907959,
+        0.31507457468509675,
+        0.23614442422389983,
+        0.254969379901886,
+        0.27476890687942507,
+        0.2822477249979973,
+        0.22857851524353026,
+        0.2848317095279694,
+        0.22646245069503784,
+        0.19609259796142578,
+        0.20422002878189086,
+        0.2278106704711914,
+        0.21199282817840576,
+        0.22999722228050232,
+        0.18927179362773897,
+        0.1868197315096855,
+        0.1624525843143463,
+        0.16611186580657958,
+        0.1776226815700531,
+        0.18346555788517,
+        0.18616020417213439,
+        0.21773850283622742,
+        0.17072519811987877,
+        0.1434326003074646,
+        0.14783699934482575,
+        0.15042639310359954,
+        0.12889793826341628,
+        0.12356024625301361,
+        0.1692313243865967,
+        0.15909709224700927,
+        0.1192699939250946,
+        0.11174692940711975,
+        0.11469121931791305,
+        0.09951091033518314,
+        0.09089980803132057,
+        0.09371082916259765,
+        0.10394041108489037,
+        0.08837119708657265,
+        0.0850338310956955,
+        0.08094862339496613,
+        0.08114566903114319,
+        0.0906995141685009,
+        0.078421424472332,
+        0.0745745754480362,
+        0.06969475071430206,
+        0.0771757453918457,
+        0.07762574458122254,
+        0.07343646372556686,
+        0.06731920648217202,
+        0.06413565802574157,
+        0.0694550199508667,
+        0.06341172800064086,
+        0.06010753145813942,
+        0.0578922655582428,
+        0.05571632192134857,
+        0.05808653661012649,
+        0.055248909771442416,
+        0.05357116482257843,
+        0.05281550569534302,
+        0.05171134668439627,
+        0.050705768856406215,
+        0.04993012307882309,
+        0.04970487477779388,
+        0.04938072466850281,
+        0.04907250826358795,
+        0.048702222812175754,
+        0.04849463161230087,
+        0.04836083398014307,
+        0.04829238135814667
+      ],
+      "train_acc": [
+        0.6282,
+        0.7909,
+        0.8356,
+        0.8387,
+        0.8442,
+        0.8678,
+        0.864,
+        0.8668,
+        0.878,
+        0.8879,
+        0.8761,
+        0.891,
+        0.8781,
+        0.9061,
+        0.8998,
+        0.8908,
+        0.8897,
+        0.9051,
+        0.89,
+        0.9092,
+        0.924,
+        0.9202,
+        0.9112,
+        0.9156,
+        0.9113,
+        0.922,
+        0.9281,
+        0.9346,
+        0.9359,
+        0.9311,
+        0.9273,
+        0.9257,
+        0.9147,
+        0.933,
+        0.9439,
+        0.9438,
+        0.9417,
+        0.9526,
+        0.9544,
+        0.9381,
+        0.9407,
+        0.9555,
+        0.9599,
+        0.9549,
+        0.9662,
+        0.9731,
+        0.9685,
+        0.9654,
+        0.9715,
+        0.9729,
+        0.9751,
+        0.975,
+        0.9686,
+        0.9772,
+        0.9789,
+        0.9812,
+        0.9762,
+        0.9755,
+        0.9773,
+        0.9815,
+        0.9841,
+        0.9801,
+        0.9832,
+        0.9859,
+        0.9881,
+        0.9893,
+        0.9875,
+        0.9879,
+        0.9904,
+        0.9916,
+        0.9919,
+        0.9924,
+        0.993,
+        0.9929,
+        0.9935,
+        0.9936,
+        0.9937,
+        0.9937,
+        0.9939,
+        0.9939
+      ],
+      "test_acc": [
+        0.7655,
+        0.7705,
+        0.845,
+        0.8445,
+        0.856,
+        0.8585,
+        0.8535,
+        0.863,
+        0.863,
+        0.8645,
+        0.852,
+        0.8735,
+        0.876,
+        0.868,
+        0.8825,
+        0.8725,
+        0.869,
+        0.873,
+        0.8675,
+        0.876,
+        0.8745,
+        0.8785,
+        0.875,
+        0.8745,
+        0.8785,
+        0.878,
+        0.8905,
+        0.881,
+        0.883,
+        0.889,
+        0.8855,
+        0.8835,
+        0.8815,
+        0.894,
+        0.891,
+        0.8865,
+        0.8855,
+        0.8865,
+        0.884,
+        0.8925,
+        0.893,
+        0.8995,
+        0.9,
+        0.894,
+        0.8985,
+        0.9,
+        0.897,
+        0.8975,
+        0.895,
+        0.9005,
+        0.895,
+        0.904,
+        0.8985,
+        0.899,
+        0.9025,
+        0.901,
+        0.899,
+        0.8985,
+        0.8985,
+        0.897,
+        0.897,
+        0.902,
+        0.902,
+        0.9025,
+        0.899,
+        0.9035,
+        0.901,
+        0.902,
+        0.903,
+        0.901,
+        0.9035,
+        0.902,
+        0.901,
+        0.901,
+        0.901,
+        0.9005,
+        0.902,
+        0.902,
+        0.902,
+        0.902
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8318638801574707,
+        0.8205357789993286,
+        0.8115277886390686,
+        0.8032979965209961,
+        0.7886118292808533,
+        0.7801527976989746,
+        0.7755030393600464,
+        0.769822359085083,
+        0.7656118869781494,
+        0.7624454498291016,
+        0.7592873573303223,
+        0.7567087411880493
+      ],
+      "perturbation_rho": [
+        0.9999992251396179,
+        0.9999969005584717,
+        0.9999886155128479,
+        0.9999699592590332,
+        0.9999390244483948,
+        0.9998932480812073,
+        0.9998554587364197,
+        0.9998190999031067,
+        0.9997619986534119,
+        0.9997045397758484,
+        0.9997037649154663,
+        0.9996514916419983
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02965891733765602,
+          -0.014755135402083397,
+          -0.007768464274704456,
+          -0.004644382745027542,
+          -0.0031942492350935936,
+          -0.0024470873177051544,
+          -0.002016209065914154,
+          -0.0017410764703527093,
+          -0.001558023039251566,
+          -0.0014324376825243235,
+          -0.001343877287581563,
+          -0.0012825119774788618
+        ],
+        "0.003": [
+          -0.0804542750120163,
+          -0.042193710803985596,
+          -0.022742247208952904,
+          -0.013738743960857391,
+          -0.00949312373995781,
+          -0.007289452478289604,
+          -0.006013792939484119,
+          -0.005197531543672085,
+          -0.004653473384678364,
+          -0.004280170891433954,
+          -0.004016467835754156,
+          -0.0038337684236466885
+        ],
+        "0.01": [
+          -0.19001588225364685,
+          -0.1191760003566742,
+          -0.0696173831820488,
+          -0.04359997808933258,
+          -0.030619269236922264,
+          -0.023702502250671387,
+          -0.019644131883978844,
+          -0.01702706888318062,
+          -0.015273808501660824,
+          -0.014067228883504868,
+          -0.01321301981806755,
+          -0.012620084919035435
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.1161888708114622,
+        1.0705381093978883,
+        0.7379587242126465,
+        0.6230424444198608,
+        0.5587224875450134,
+        0.5511080667495728,
+        0.5147961149215698,
+        0.5059333966255188,
+        0.5395212747573852,
+        0.5567793758392334,
+        0.6206620505332947,
+        0.5265415138721466,
+        0.5160172220230103,
+        0.5400834962844848,
+        0.5545318482398987,
+        0.5883845041275024,
+        0.6101506164550782,
+        0.5516913089752197,
+        0.6737783394813538,
+        0.6081213068962097,
+        0.811542774772644,
+        0.6109004033088684,
+        0.5861687495231629,
+        0.6011404423713684,
+        0.6571122856140137,
+        0.6412208379745483,
+        0.9013783811628818,
+        0.5354073376655578,
+        0.5708883996009827,
+        0.6849057559967041,
+        1.001942999124527,
+        0.60237093501091,
+        0.6511475246667862,
+        0.6211171346664429,
+        0.602404217338562,
+        0.546023369216919,
+        0.6272468940734863,
+        0.6112368375778198,
+        0.5450925559997558,
+        0.7834748405456543,
+        0.6081129229784011,
+        0.5642386393815279,
+        0.56300906457901,
+        0.505311530637741,
+        0.5361756405830383,
+        0.4359512243270874,
+        0.545820366859436,
+        0.5309959113121032,
+        0.5448329068422317,
+        0.4796094952344894,
+        0.4383549818992615,
+        0.47926157960891724,
+        0.46650244359970094,
+        0.4291006091594696,
+        0.4090529757976532,
+        0.3741895474433899,
+        0.46069719450473784,
+        0.4360212215423584,
+        0.43903335857391357,
+        0.39378074131011964,
+        0.3575065735816956,
+        0.38047246384620664,
+        0.3535813014984131,
+        0.3860295336961746,
+        0.35095718326568603,
+        0.37885420265197756,
+        0.3496265037059784,
+        0.34361237716674803,
+        0.3341560622692108,
+        0.34267382655143735,
+        0.3308092978477478,
+        0.3239377063751221,
+        0.32587551040649415,
+        0.32046382219791414,
+        0.31662249999046327,
+        0.316526219534874,
+        0.315068252658844,
+        0.31297805325984956,
+        0.3121805286288261,
+        0.31114738615751264
+      ],
+      "train_acc": [
+        0.2347,
+        0.6109,
+        0.7271,
+        0.7668,
+        0.7901,
+        0.7911,
+        0.8103,
+        0.8109,
+        0.8039,
+        0.8057,
+        0.7993,
+        0.8217,
+        0.8213,
+        0.8225,
+        0.8165,
+        0.8147,
+        0.8151,
+        0.8288,
+        0.8074,
+        0.8169,
+        0.7825,
+        0.8202,
+        0.8321,
+        0.8321,
+        0.8179,
+        0.8169,
+        0.787,
+        0.8383,
+        0.8308,
+        0.8067,
+        0.7794,
+        0.8299,
+        0.8183,
+        0.8227,
+        0.8221,
+        0.84,
+        0.8212,
+        0.8258,
+        0.8318,
+        0.7943,
+        0.8294,
+        0.8284,
+        0.8301,
+        0.8396,
+        0.8353,
+        0.8567,
+        0.8271,
+        0.8324,
+        0.8331,
+        0.8414,
+        0.8513,
+        0.8441,
+        0.8437,
+        0.8564,
+        0.8621,
+        0.8661,
+        0.8483,
+        0.8563,
+        0.8535,
+        0.8627,
+        0.8716,
+        0.8674,
+        0.873,
+        0.867,
+        0.8746,
+        0.8692,
+        0.8759,
+        0.8763,
+        0.8793,
+        0.8761,
+        0.8811,
+        0.8839,
+        0.8847,
+        0.886,
+        0.8883,
+        0.8857,
+        0.8871,
+        0.8883,
+        0.8883,
+        0.889
+      ],
+      "test_acc": [
+        0.4935,
+        0.664,
+        0.7105,
+        0.7415,
+        0.7515,
+        0.749,
+        0.738,
+        0.7145,
+        0.747,
+        0.6885,
+        0.779,
+        0.747,
+        0.7215,
+        0.774,
+        0.7765,
+        0.737,
+        0.7385,
+        0.7485,
+        0.7145,
+        0.7095,
+        0.746,
+        0.6925,
+        0.7445,
+        0.733,
+        0.7555,
+        0.6975,
+        0.744,
+        0.758,
+        0.7605,
+        0.6015,
+        0.7335,
+        0.744,
+        0.7155,
+        0.76,
+        0.742,
+        0.6985,
+        0.756,
+        0.797,
+        0.669,
+        0.6595,
+        0.7775,
+        0.751,
+        0.7825,
+        0.792,
+        0.7875,
+        0.7185,
+        0.7555,
+        0.711,
+        0.7865,
+        0.7815,
+        0.7525,
+        0.7505,
+        0.756,
+        0.8095,
+        0.8295,
+        0.8095,
+        0.7835,
+        0.811,
+        0.792,
+        0.835,
+        0.8165,
+        0.8195,
+        0.824,
+        0.8365,
+        0.83,
+        0.8305,
+        0.8355,
+        0.8345,
+        0.841,
+        0.8435,
+        0.845,
+        0.8445,
+        0.8385,
+        0.8435,
+        0.849,
+        0.8425,
+        0.852,
+        0.846,
+        0.8475,
+        0.8475
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.007017737254500389,
+        0.1750856339931488,
+        0.09811605513095856,
+        0.09870222210884094,
+        0.06923168152570724,
+        0.07072796672582626,
+        0.1299426257610321,
+        0.06372487545013428,
+        0.05202930420637131,
+        0.07090489566326141,
+        0.04892899468541145,
+        0.07766443490982056
+      ],
+      "perturbation_rho": [
+        -0.05082311853766441,
+        0.15127798914909363,
+        0.10723739117383957,
+        0.1141807958483696,
+        0.10590988397598267,
+        0.05159565061330795,
+        0.11685939878225327,
+        0.06997300684452057,
+        0.00848393514752388,
+        0.09840574860572815,
+        0.04575839638710022,
+        0.015137266367673874
+      ],
+      "nudging": {
+        "0.001": [
+          -4.85350246890448e-05,
+          -0.00047083833487704396,
+          -0.0002036669902736321,
+          -0.00020484492415562272,
+          -0.00012755952775478363,
+          -0.0001312094391323626,
+          -0.00026341876946389675,
+          -0.00013891540584154427,
+          -8.587291813455522e-05,
+          -0.0001401761983288452,
+          -0.00010106117406394333,
+          -0.00013796932762488723
+        ],
+        "0.003": [
+          -0.00011904549319297075,
+          -0.0014130279887467623,
+          -0.0006089931703172624,
+          -0.0006149515393190086,
+          -0.00038236152613535523,
+          -0.0003897756978403777,
+          -0.0007856430020183325,
+          -0.00041487300768494606,
+          -0.00026209562201984227,
+          -0.0004224291769787669,
+          -0.0003004029858857393,
+          -0.00041531946044415236
+        ],
+        "0.01": [
+          -9.43206250667572e-05,
+          -0.004689650610089302,
+          -0.0020264536142349243,
+          -0.0020407852716743946,
+          -0.0012656663311645389,
+          -0.0012923413887619972,
+          -0.0026080894749611616,
+          -0.0013762509915977716,
+          -0.0008721412159502506,
+          -0.0014046088326722383,
+          -0.0009981195908039808,
+          -0.0013870256952941418
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.7660392265319824,
+        1.178251402759552,
+        0.9799116178512574,
+        0.9648374988555908,
+        0.9458347319602967,
+        0.9694253993034363,
+        1.031941456604004,
+        1.086812539100647,
+        1.1742973445892333,
+        1.19130708694458,
+        1.1743286926269532,
+        1.1457796726226808,
+        1.1943257934570313,
+        1.1683498153686522,
+        1.1290361179351807,
+        1.0556812404632567,
+        1.0298576685905456,
+        1.0394999574661254,
+        1.0867010340690613,
+        1.049304892539978,
+        1.0673762855529785,
+        1.0524308464050294,
+        1.0844358332633972,
+        1.1172401988983154,
+        1.1323510132789611,
+        1.1146858919143676,
+        1.128648495578766,
+        1.0949398155212402,
+        1.0749667533874512,
+        1.0532681093215943,
+        0.9976370090484619,
+        0.9771609001159668,
+        1.0085774200439452,
+        0.9589678119659424,
+        1.0052671368122101,
+        1.0016240659713744,
+        0.9660814436912537,
+        0.9806823503494263,
+        0.9850459058761597,
+        0.9981972049713135,
+        0.9740466180801391,
+        0.9784111059188842,
+        1.0064473885536194,
+        1.0063808506011962,
+        1.0454398796081543,
+        1.068976349067688,
+        1.0449666645050049,
+        0.9966327934265137,
+        0.9869317514419556,
+        0.9675295728683472,
+        0.9301507671356202,
+        0.9641815420150757,
+        0.9217775179862976,
+        0.9083558129310608,
+        0.8999398115158082,
+        0.9012471942901611,
+        0.876110479068756,
+        0.8611874293327332,
+        0.8559818737030029,
+        0.8613637584686279,
+        0.8418010949134827,
+        0.8399203823089599,
+        0.822348624420166,
+        0.8137641032218933,
+        0.8099215194702148,
+        0.8083343101501465,
+        0.79866770362854,
+        0.7958657787322998,
+        0.7941301454544067,
+        0.7885932938575745,
+        0.7868301971435547,
+        0.7845343255996704,
+        0.7839029501914978,
+        0.7834184554100037,
+        0.7787990325927734,
+        0.7778603867530822,
+        0.7773278060913086,
+        0.7761943964004516,
+        0.7756718534469604,
+        0.7753890983581543
+      ],
+      "train_acc": [
+        0.3775,
+        0.5866,
+        0.6582,
+        0.6737,
+        0.6776,
+        0.6691,
+        0.6489,
+        0.6323,
+        0.615,
+        0.6048,
+        0.6065,
+        0.6163,
+        0.5998,
+        0.6116,
+        0.6105,
+        0.6255,
+        0.6347,
+        0.6341,
+        0.6203,
+        0.6327,
+        0.6274,
+        0.6273,
+        0.6222,
+        0.6166,
+        0.6221,
+        0.6313,
+        0.6286,
+        0.6398,
+        0.6346,
+        0.6421,
+        0.6539,
+        0.6626,
+        0.6542,
+        0.6694,
+        0.662,
+        0.6658,
+        0.6749,
+        0.6665,
+        0.6672,
+        0.6647,
+        0.6694,
+        0.6657,
+        0.6662,
+        0.6634,
+        0.6582,
+        0.6572,
+        0.6615,
+        0.6692,
+        0.6772,
+        0.6794,
+        0.6878,
+        0.672,
+        0.688,
+        0.688,
+        0.6891,
+        0.6883,
+        0.6942,
+        0.6958,
+        0.6969,
+        0.6946,
+        0.7045,
+        0.7034,
+        0.7078,
+        0.7092,
+        0.7115,
+        0.7134,
+        0.7138,
+        0.7166,
+        0.7183,
+        0.7177,
+        0.7171,
+        0.7211,
+        0.7219,
+        0.7237,
+        0.7234,
+        0.7234,
+        0.7229,
+        0.7241,
+        0.7237,
+        0.7238
+      ],
+      "test_acc": [
+        0.521,
+        0.603,
+        0.6275,
+        0.638,
+        0.64,
+        0.6115,
+        0.6005,
+        0.5555,
+        0.575,
+        0.5755,
+        0.5515,
+        0.5135,
+        0.563,
+        0.5605,
+        0.5765,
+        0.5455,
+        0.598,
+        0.5825,
+        0.5805,
+        0.5785,
+        0.5125,
+        0.5985,
+        0.57,
+        0.5875,
+        0.5775,
+        0.571,
+        0.6055,
+        0.6095,
+        0.6085,
+        0.6005,
+        0.6235,
+        0.608,
+        0.63,
+        0.607,
+        0.611,
+        0.6395,
+        0.6215,
+        0.6065,
+        0.609,
+        0.622,
+        0.62,
+        0.619,
+        0.62,
+        0.6035,
+        0.6035,
+        0.614,
+        0.611,
+        0.615,
+        0.6215,
+        0.6185,
+        0.6415,
+        0.641,
+        0.6365,
+        0.634,
+        0.6375,
+        0.6385,
+        0.638,
+        0.638,
+        0.6585,
+        0.6345,
+        0.6515,
+        0.6415,
+        0.6495,
+        0.648,
+        0.6535,
+        0.649,
+        0.6485,
+        0.6535,
+        0.6605,
+        0.652,
+        0.6495,
+        0.656,
+        0.6555,
+        0.6525,
+        0.6495,
+        0.653,
+        0.6515,
+        0.6525,
+        0.653,
+        0.653
+      ],
+      "state_pred_error": [
+        0.6562932591438293,
+        0.23981053397655486,
+        0.1903499266386032,
+        0.19460821108818055,
+        0.18526573693752288,
+        0.17590652742385865,
+        0.17703034114837646,
+        0.18292365341186523,
+        0.17384615654945373,
+        0.15362654786109925,
+        0.13457916014194488,
+        0.10651036943197251,
+        0.08625391768217087,
+        0.07398555294275284,
+        0.06209893840551376,
+        0.05550870283842087,
+        0.053596517646312715,
+        0.04783650130033493,
+        0.043200792515277864,
+        0.04244589750766754,
+        0.03850420281887054,
+        0.034261447036266324,
+        0.03740785131454468,
+        0.05187485041022301,
+        0.062013522326946256,
+        0.06344651449918746,
+        0.06347008838653564,
+        0.05844136718511581,
+        0.055137157082557675,
+        0.0557414687871933,
+        0.057311562991142276,
+        0.054085967439413074,
+        0.051402875846624375,
+        0.05376452451944351,
+        0.056453118932247165,
+        0.058846011412143705,
+        0.05783562337160111,
+        0.05683179898262024,
+        0.04931292141675949,
+        0.046385925376415255,
+        0.04792898969650269,
+        0.04724597421884537,
+        0.048053572791814804,
+        0.05018840481638909,
+        0.0515774268746376,
+        0.051133309531211854,
+        0.04661017266511917,
+        0.040031638622283934,
+        0.03488108472824097,
+        0.034121088311076166,
+        0.033728338706493374,
+        0.0345772180557251,
+        0.035495428866147996,
+        0.0358143527507782,
+        0.03543115886449814,
+        0.034300058418512344,
+        0.03347357029318809,
+        0.03296002690792084,
+        0.03150505864620209,
+        0.031229876655340195,
+        0.030605761355161666,
+        0.029714866718649865,
+        0.029429574620723726,
+        0.028748987805843354,
+        0.0280685770124197,
+        0.027459417676925658,
+        0.02690108307301998,
+        0.0262698985517025,
+        0.025815216612815856,
+        0.025245039772987365,
+        0.02476883113980293,
+        0.024032312482595443,
+        0.023628278690576553,
+        0.02287783022224903,
+        0.022595539873838423,
+        0.022138828229904175,
+        0.02166169041991234,
+        0.021171285590529443,
+        0.020910686141252518,
+        0.020324308523535728
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.7411977648735046,
+        0.3599514067173004,
+        0.24466437101364136,
+        0.18324854969978333,
+        0.1438049077987671,
+        0.1288401186466217,
+        0.12390943616628647,
+        0.11832019686698914,
+        0.1285572201013565,
+        0.12467152625322342,
+        0.12941977381706238,
+        0.11911536008119583
+      ],
+      "perturbation_rho": [
+        0.637965977191925,
+        0.3033628761768341,
+        0.22177954018115997,
+        0.1946793794631958,
+        0.08981841057538986,
+        0.07293770462274551,
+        0.06646254658699036,
+        0.08072252571582794,
+        0.1001453697681427,
+        0.10873826593160629,
+        0.08548736572265625,
+        0.06633201241493225
+      ],
+      "nudging": {
+        "0.001": [
+          -0.021028487011790276,
+          -0.001058874186128378,
+          -0.0006181992357596755,
+          -0.0004633825155906379,
+          -0.00033575957058928907,
+          -0.00028632720932364464,
+          -0.0002752277650870383,
+          -0.00025989426649175584,
+          -0.0002959924750030041,
+          -0.0002790615544654429,
+          -0.0002817974309436977,
+          -0.00027173495618626475
+        ],
+        "0.003": [
+          -0.06181221827864647,
+          -0.0031739207915961742,
+          -0.0018536150455474854,
+          -0.0013895141892135143,
+          -0.0010071746073663235,
+          -0.0008582596783526242,
+          -0.0008251374820247293,
+          -0.0007799923187121749,
+          -0.0008870307938195765,
+          -0.0008369790157303214,
+          -0.0008445986313745379,
+          -0.000814296246971935
+        ],
+        "0.01": [
+          -0.19135718047618866,
+          -0.010539980605244637,
+          -0.006164146587252617,
+          -0.004623022396117449,
+          -0.003351652529090643,
+          -0.002855603815987706,
+          -0.002745934296399355,
+          -0.0025949627161026,
+          -0.002952038776129484,
+          -0.002784580923616886,
+          -0.002810355508700013,
+          -0.0027095736004412174
+        ]
+      },
+      "state_pred_error_per_layer": [
+        11398.169921875,
+        8994.236328125,
+        6843.07958984375,
+        5338.4423828125,
+        5392.61279296875,
+        5254.96435546875,
+        5057.08544921875,
+        3968.3759765625,
+        3609.97021484375,
+        3456.01708984375,
+        3801.56005859375,
+        3800.938232421875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.1167624181747438,
+        1.0788958876609802,
+        0.7283429620742797,
+        0.6024269011974335,
+        0.5713749401092529,
+        0.5598325239181519,
+        0.5255904386997223,
+        0.4974329795598984,
+        0.4899064763069153,
+        0.5248763283252716,
+        0.5883738929748535,
+        0.5222483651161194,
+        0.6248608678817749,
+        0.6194486492156982,
+        0.662178272819519,
+        0.640893846309185,
+        0.5865561918258667,
+        0.885394397687912,
+        0.6598452829360962,
+        0.8222563210964203,
+        0.754990729355812,
+        0.8914188419342041,
+        1.031625161933899,
+        1.0454975284576415,
+        1.2010375715255737,
+        1.0348915752410888,
+        1.165796419429779,
+        1.231134867119789,
+        1.1155884208679199,
+        1.126976979446411,
+        1.1689010509490967,
+        1.2431681230545044,
+        1.1928106174468993,
+        1.2096030212402344,
+        1.3011646310806275,
+        1.4129821705818175,
+        1.6691173180580139,
+        1.7397695838928222,
+        1.5034552973747253,
+        1.4103708577156067,
+        1.4138535682678222,
+        1.426429981994629,
+        1.403753551864624,
+        1.3699013526916504,
+        1.2783019632339478,
+        1.4253152322292328,
+        1.2403149646759033,
+        1.2535520204544068,
+        1.2423814392089845,
+        1.2836143051147462,
+        1.2725918060302734,
+        1.459489345550537,
+        1.3426179229736328,
+        1.2982452480316162,
+        1.2198686767578124,
+        1.2035927333831786,
+        1.189828524017334,
+        1.1886818801879884,
+        1.186541651058197,
+        1.196483794784546,
+        1.1956911575317384,
+        1.1999056583404542,
+        1.1884550790786743,
+        1.16442092628479,
+        1.1864193830490113,
+        1.175171266555786,
+        1.164777257537842,
+        1.143490619659424,
+        1.1616380886077882,
+        1.148275350189209,
+        1.1453337799072265,
+        1.1361551708221436,
+        1.1338137168884277,
+        1.1356001434326173,
+        1.1363445959091187,
+        1.1320666946411133,
+        1.1263005462646485,
+        1.1265122992515564,
+        1.1240507564544677,
+        1.122698894882202
+      ],
+      "train_acc": [
+        0.2326,
+        0.6009,
+        0.7284,
+        0.782,
+        0.7858,
+        0.7932,
+        0.8017,
+        0.8211,
+        0.821,
+        0.8133,
+        0.8013,
+        0.8252,
+        0.8039,
+        0.8028,
+        0.8062,
+        0.8088,
+        0.8267,
+        0.7767,
+        0.8198,
+        0.7967,
+        0.8033,
+        0.7824,
+        0.7618,
+        0.7514,
+        0.7357,
+        0.7568,
+        0.7255,
+        0.7226,
+        0.7436,
+        0.7404,
+        0.7352,
+        0.7124,
+        0.7168,
+        0.7056,
+        0.6906,
+        0.6805,
+        0.6348,
+        0.6271,
+        0.6467,
+        0.6502,
+        0.6414,
+        0.6359,
+        0.6329,
+        0.6335,
+        0.6483,
+        0.6185,
+        0.6446,
+        0.6477,
+        0.6504,
+        0.6359,
+        0.6434,
+        0.6053,
+        0.6247,
+        0.6278,
+        0.645,
+        0.6464,
+        0.6447,
+        0.6448,
+        0.6491,
+        0.6438,
+        0.6471,
+        0.6432,
+        0.6445,
+        0.6451,
+        0.642,
+        0.6436,
+        0.6457,
+        0.6523,
+        0.6477,
+        0.6485,
+        0.6528,
+        0.6531,
+        0.6558,
+        0.6543,
+        0.6514,
+        0.6525,
+        0.6535,
+        0.6521,
+        0.6561,
+        0.6539
+      ],
+      "test_acc": [
+        0.4875,
+        0.677,
+        0.7215,
+        0.7555,
+        0.711,
+        0.746,
+        0.749,
+        0.766,
+        0.737,
+        0.781,
+        0.737,
+        0.7375,
+        0.682,
+        0.752,
+        0.741,
+        0.753,
+        0.7145,
+        0.7665,
+        0.7315,
+        0.7535,
+        0.735,
+        0.693,
+        0.6625,
+        0.6565,
+        0.6395,
+        0.6925,
+        0.6545,
+        0.65,
+        0.6975,
+        0.6685,
+        0.6285,
+        0.624,
+        0.6125,
+        0.5815,
+        0.637,
+        0.595,
+        0.569,
+        0.6345,
+        0.588,
+        0.564,
+        0.551,
+        0.558,
+        0.532,
+        0.558,
+        0.463,
+        0.5915,
+        0.592,
+        0.605,
+        0.5635,
+        0.583,
+        0.475,
+        0.5865,
+        0.5545,
+        0.573,
+        0.574,
+        0.5875,
+        0.6035,
+        0.6145,
+        0.5835,
+        0.6215,
+        0.5825,
+        0.596,
+        0.5915,
+        0.595,
+        0.5825,
+        0.6105,
+        0.6125,
+        0.5925,
+        0.611,
+        0.6085,
+        0.6045,
+        0.614,
+        0.6135,
+        0.611,
+        0.6095,
+        0.6165,
+        0.615,
+        0.6175,
+        0.617,
+        0.6165
+      ],
+      "value_loss": [
+        2.917377243423462,
+        1.0885846445083618,
+        0.8722483618736268,
+        0.7590288893699646,
+        0.6848006416320801,
+        0.7795331933021545,
+        0.7230647287368774,
+        0.6652144893169403,
+        0.6948482487678528,
+        0.845168435049057,
+        1.012792977142334,
+        0.9757756937980652,
+        1.377029209136963,
+        1.2504926189422607,
+        1.5225606134414673,
+        1.4383921993494033,
+        1.3322697761535645,
+        2.4565747309207917,
+        1.6300376277923585,
+        2.823884797477722,
+        2.3786984578609465,
+        3.188929486846924,
+        3.881624488592148,
+        3.887029996871948,
+        5.223129042053222,
+        3.704177805709839,
+        3.865027075386047,
+        4.846107821583748,
+        4.141783078241348,
+        3.970493141937256,
+        3.874847568798065,
+        4.200226354598999,
+        3.745213671684265,
+        3.198570384597778,
+        3.0785925355911257,
+        3.9717932876586914,
+        4.700067436790467,
+        4.323802533721924,
+        4.030013834190369,
+        3.1393288494110108,
+        2.987711456298828,
+        2.7445001739501955,
+        3.0291526428222655,
+        2.3462921596527098,
+        1.9060795955657959,
+        2.258526708507538,
+        1.7152527221679688,
+        1.8757978493452072,
+        1.7933397781372071,
+        1.972236647605896,
+        1.9309973197937012,
+        2.1270628622055052,
+        2.527687882232666,
+        1.409256293106079,
+        1.5656167263031007,
+        1.207306969833374,
+        1.161829356956482,
+        1.1612982688903808,
+        1.3352970541954041,
+        1.0183050258636475,
+        1.0635041744232179,
+        1.1356115013122559,
+        1.030290427494049,
+        0.9526879192352294,
+        0.9847541847229004,
+        0.9769651292800904,
+        1.0084786526679992,
+        0.847856243610382,
+        0.9065985995292664,
+        0.8622876857757569,
+        0.985212391090393,
+        0.8992663670539855,
+        0.8764174394369125,
+        0.879221212387085,
+        0.7656205827713013,
+        0.7692451740264893,
+        0.7758066005706787,
+        0.7651944708824158,
+        0.7469569927215576,
+        0.7472030250549316
+      ],
+      "term_loss": [
+        1.7071890327453614,
+        0.8562626203536987,
+        0.7217037587165832,
+        0.6241729659080505,
+        0.5283200964927673,
+        0.6200158938407898,
+        0.5797653388977051,
+        0.5340959584653378,
+        0.570998721408844,
+        0.717055173254013,
+        0.8720836116790771,
+        0.8500968678474426,
+        1.2321790990829469,
+        1.1084193689346313,
+        1.371880656862259,
+        1.2907429981589318,
+        1.1943902667999267,
+        2.2709406319350003,
+        1.4680245761871338,
+        2.522774781036377,
+        2.103910192489624,
+        2.813427988433838,
+        3.51185936422348,
+        3.507211095714569,
+        4.675780584716797,
+        3.273686423397064,
+        3.37993256855011,
+        4.347406148648262,
+        3.6078256138801574,
+        3.477346031188965,
+        3.3423506669521332,
+        3.635915426635742,
+        3.2431184103012085,
+        2.731623638153076,
+        2.569586363697052,
+        3.3848239572525025,
+        3.9930092430114748,
+        3.6855425521850584,
+        3.439471867132187,
+        2.6192165103912353,
+        2.430570825958252,
+        2.2859115070343017,
+        2.510902947998047,
+        1.8956809158325196,
+        1.5424002754211426,
+        1.8663454635381698,
+        1.3792756309509278,
+        1.5096056005597114,
+        1.4301966918945312,
+        1.6093664487838746,
+        1.5647689273834229,
+        1.7485398204803466,
+        2.0468893560409547,
+        1.086868813419342,
+        1.2306722325801849,
+        0.9031556518554688,
+        0.8638837631225585,
+        0.8681535690307617,
+        1.0182161829471588,
+        0.7249538288116455,
+        0.7807100736618042,
+        0.8440699245452881,
+        0.7501027065992355,
+        0.6742322627067566,
+        0.7051959021568298,
+        0.7000651927947998,
+        0.7283024723052979,
+        0.5799991112709045,
+        0.6314232111930848,
+        0.5915066772460937,
+        0.7066991906166077,
+        0.6210276663541794,
+        0.6052080447912216,
+        0.6054580961704255,
+        0.506322053527832,
+        0.5056319164276123,
+        0.5136490772247314,
+        0.5038866362571717,
+        0.4870232744216919,
+        0.48659993648529054
+      ],
+      "bridge_loss": [
+        0.934133678069734,
+        0.04377672711312771,
+        0.00621748416274786,
+        0.009328789858520032,
+        0.03208852110505104,
+        0.03361516862809658,
+        0.025169576000422238,
+        0.016107972599565982,
+        0.01099225374609232,
+        0.009757265958189964,
+        0.012258637046068907,
+        0.009598278574645519,
+        0.011902521315217018,
+        0.01008907663524151,
+        0.012962754887342453,
+        0.016048321741446853,
+        0.014013315912336111,
+        0.02511794980466366,
+        0.03051947158575058,
+        0.14839042081832884,
+        0.1288803307890892,
+        0.21345752367973328,
+        0.18923244893550872,
+        0.1900414011478424,
+        0.3374566346645355,
+        0.2436180516242981,
+        0.27291790237426755,
+        0.2844627224907279,
+        0.33504061785936357,
+        0.28894724340438843,
+        0.323739523935318,
+        0.3439501903533936,
+        0.2863821896791458,
+        0.24004585890769958,
+        0.2657137688159943,
+        0.3297406603336334,
+        0.4193671970367432,
+        0.3435313666343689,
+        0.3151414979636669,
+        0.2521958198547363,
+        0.286889494228363,
+        0.18249824771881104,
+        0.24513883123397828,
+        0.1807411163687706,
+        0.10391507806777954,
+        0.11641201150417328,
+        0.0781691556930542,
+        0.11070946050584317,
+        0.10752428450584411,
+        0.09995526621341705,
+        0.10843874815702438,
+        0.09153415812253952,
+        0.21060027264356612,
+        0.05525967319011688,
+        0.07939857324361801,
+        0.052892149806022644,
+        0.04809255766868591,
+        0.043376958113908765,
+        0.06525523254275321,
+        0.041036498141288756,
+        0.034595796847343444,
+        0.039489244347810745,
+        0.03204091534614563,
+        0.03184057741165161,
+        0.03210646907687187,
+        0.03017198827266693,
+        0.03566043748408556,
+        0.026130416893959046,
+        0.030878000298142434,
+        0.028091139087080955,
+        0.036872993779182434,
+        0.037208085697889325,
+        0.031016037890315058,
+        0.03364388849139214,
+        0.01882201724052429,
+        0.022678672552108765,
+        0.023471874904632567,
+        0.022254053789377212,
+        0.021548601961135866,
+        0.02176231173723936
+      ],
+      "tgrad_loss": [
+        0.2760545256614685,
+        0.1885452966928482,
+        0.14432712779045104,
+        0.12552713549137115,
+        0.1243920262336731,
+        0.12590213398933411,
+        0.11812981011867524,
+        0.11501056258678437,
+        0.1128572760105133,
+        0.1183559935092926,
+        0.12845072351694106,
+        0.1160805418252945,
+        0.1329475926876068,
+        0.1319841867685318,
+        0.13771721487045288,
+        0.13160088445991278,
+        0.12386620242595672,
+        0.16051614969968797,
+        0.1314936074256897,
+        0.152719602394104,
+        0.14590793343186378,
+        0.1620439998626709,
+        0.1805326670050621,
+        0.18977752606868745,
+        0.20989185056686402,
+        0.18687333135604858,
+        0.21217663090229033,
+        0.21423892506957054,
+        0.19891686100959777,
+        0.20419985570907592,
+        0.20875739620923997,
+        0.22036073546409607,
+        0.2157130225300789,
+        0.22690090117454528,
+        0.2432923877954483,
+        0.2572286765575409,
+        0.28769104671478274,
+        0.29472856616973875,
+        0.27540048587322236,
+        0.26791652979850766,
+        0.2702511163234711,
+        0.2760904380321503,
+        0.27311084804534913,
+        0.2698701079368591,
+        0.2597642467021942,
+        0.27576921684741973,
+        0.25780792813301084,
+        0.25548279466629026,
+        0.2556188053131104,
+        0.26291491422653196,
+        0.2577896447181702,
+        0.2869888922214508,
+        0.2701982216835022,
+        0.2671278247833252,
+        0.25554592900276185,
+        0.2512591653585434,
+        0.2498530375957489,
+        0.249767742729187,
+        0.25182563605308533,
+        0.25231471223831176,
+        0.24819831862449646,
+        0.25205233681201933,
+        0.24814680593013763,
+        0.24661508560180664,
+        0.24745180859565735,
+        0.2467279472351074,
+        0.2445157471895218,
+        0.24172671518325806,
+        0.2442973881959915,
+        0.24268987379074097,
+        0.24164021210670472,
+        0.24103060722351075,
+        0.24019335939884187,
+        0.24011922693252563,
+        0.240476509141922,
+        0.24093458075523377,
+        0.2386856475353241,
+        0.23905378465652466,
+        0.23838511614799499,
+        0.23884078254699706
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.022855455055832863,
+        0.05216163024306297,
+        0.06243491545319557,
+        0.06105152890086174,
+        0.04914259910583496,
+        0.0686616599559784,
+        0.07184358686208725,
+        0.06793813407421112,
+        0.07173632830381393,
+        0.07284142076969147,
+        0.07256414741277695,
+        0.07263204455375671
+      ],
+      "perturbation_rho": [
+        0.035705771297216415,
+        0.06484436988830566,
+        0.15210987627506256,
+        0.16708198189735413,
+        0.14389753341674805,
+        0.17870034277439117,
+        0.1870872974395752,
+        0.1476944386959076,
+        0.15697413682937622,
+        0.11093902587890625,
+        0.14925891160964966,
+        0.1440906673669815
+      ],
+      "nudging": {
+        "0.001": [
+          -0.001078948494978249,
+          -0.0004032487340737134,
+          -0.0004934167372994125,
+          -0.00047345247003249824,
+          -0.00039035180816426873,
+          -0.0005267527303658426,
+          -0.0005424739792943001,
+          -0.0005249894456937909,
+          -0.0005533735384233296,
+          -0.0005575859104283154,
+          -0.0005652024410665035,
+          -0.0005723442882299423
+        ],
+        "0.003": [
+          -0.0032069606240838766,
+          -0.0012108207447454333,
+          -0.0014771935530006886,
+          -0.001415132312104106,
+          -0.0011700796894729137,
+          -0.0015794191276654601,
+          -0.001628151978366077,
+          -0.0015758140943944454,
+          -0.0016569469589740038,
+          -0.0016708305338397622,
+          -0.001694234786555171,
+          -0.0017183286836370826
+        ],
+        "0.01": [
+          -0.010396174155175686,
+          -0.0040237451903522015,
+          -0.004916047677397728,
+          -0.004709047265350819,
+          -0.003890307154506445,
+          -0.005256335251033306,
+          -0.00541608827188611,
+          -0.005244302563369274,
+          -0.005511538591235876,
+          -0.005561722908169031,
+          -0.005636853165924549,
+          -0.0057196058332920074
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L12_s42.json b/results/synth_ladder_v2_lo/synth_a0.25_L12_s42.json
new file mode 100644
index 0000000..c93276f
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L12_s42.json
@@ -0,0 +1,1722 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        0.9884123200893402,
+        0.5460307235717774,
+        0.4540341721534729,
+        0.3844916480064392,
+        0.3968988080024719,
+        0.41963135101795196,
+        0.29759747257232666,
+        0.36947814264297485,
+        0.3806398531913757,
+        0.29335604696273804,
+        0.2874252618789673,
+        0.32758747911453245,
+        0.30908223123550416,
+        0.2971659957408905,
+        0.23906751189231873,
+        0.22946795601844788,
+        0.2539147944688797,
+        0.22845910873413086,
+        0.3282787434577942,
+        0.2661190662384033,
+        0.24266858730316163,
+        0.25516548223495483,
+        0.23597899619340898,
+        0.18901561794281005,
+        0.2580148603916168,
+        0.19427666611671449,
+        0.19329874439239503,
+        0.17538535070419312,
+        0.17377141309976576,
+        0.15650151609182358,
+        0.15580351371765136,
+        0.18987136631011964,
+        0.207766206407547,
+        0.14973504890799522,
+        0.13435618991851805,
+        0.17490362329483033,
+        0.17151201934814453,
+        0.15580902137756347,
+        0.12738764666318894,
+        0.12490283071994782,
+        0.11846845669746399,
+        0.11482198586463928,
+        0.11522660837173462,
+        0.13794113398194313,
+        0.10947950057983398,
+        0.1372414189338684,
+        0.13609834372997284,
+        0.1075260235697031,
+        0.09584161682724952,
+        0.08979704446792602,
+        0.087031523630023,
+        0.08224497293233872,
+        0.08695690851807594,
+        0.08022827257514,
+        0.0766805015206337,
+        0.07483255062103271,
+        0.07608340452313424,
+        0.07494754149019718,
+        0.06930721849799157,
+        0.06876047478914261,
+        0.06823876276016236,
+        0.07385597123503684,
+        0.0662713002204895,
+        0.0657794366121292,
+        0.062218379247188565,
+        0.06041689007431269,
+        0.05945101605653763,
+        0.06069924997091293,
+        0.057991378545761106,
+        0.05709035173952579,
+        0.05598740013837814,
+        0.055655374181270596,
+        0.05501515428423882,
+        0.05459572645425796,
+        0.054142729806900027,
+        0.05369558590054512,
+        0.053477102118730545,
+        0.053296024799346926,
+        0.053159212905168535,
+        0.05307692391872406
+      ],
+      "train_acc": [
+        0.638,
+        0.7898,
+        0.8165,
+        0.8465,
+        0.8471,
+        0.8347,
+        0.8801,
+        0.8604,
+        0.8517,
+        0.8827,
+        0.8844,
+        0.8688,
+        0.878,
+        0.8833,
+        0.9033,
+        0.9077,
+        0.8992,
+        0.9063,
+        0.8739,
+        0.8918,
+        0.9022,
+        0.9018,
+        0.9059,
+        0.9272,
+        0.9005,
+        0.9246,
+        0.9247,
+        0.9314,
+        0.9311,
+        0.9392,
+        0.9379,
+        0.9225,
+        0.9168,
+        0.9433,
+        0.9502,
+        0.9324,
+        0.9331,
+        0.937,
+        0.9524,
+        0.9527,
+        0.9592,
+        0.9569,
+        0.9568,
+        0.9483,
+        0.961,
+        0.9491,
+        0.9465,
+        0.9608,
+        0.9677,
+        0.9703,
+        0.9725,
+        0.9755,
+        0.9724,
+        0.9759,
+        0.9782,
+        0.9797,
+        0.978,
+        0.9785,
+        0.9816,
+        0.983,
+        0.9827,
+        0.9798,
+        0.9827,
+        0.9821,
+        0.9868,
+        0.9871,
+        0.9884,
+        0.9872,
+        0.9893,
+        0.9901,
+        0.9904,
+        0.9909,
+        0.9918,
+        0.9913,
+        0.9914,
+        0.9923,
+        0.992,
+        0.9921,
+        0.9922,
+        0.9922
+      ],
+      "test_acc": [
+        0.771,
+        0.8075,
+        0.839,
+        0.83,
+        0.82,
+        0.8445,
+        0.8565,
+        0.846,
+        0.8415,
+        0.8655,
+        0.8635,
+        0.8595,
+        0.8405,
+        0.8475,
+        0.8725,
+        0.868,
+        0.8705,
+        0.868,
+        0.851,
+        0.8605,
+        0.8665,
+        0.869,
+        0.8725,
+        0.8705,
+        0.874,
+        0.884,
+        0.882,
+        0.8835,
+        0.878,
+        0.8825,
+        0.8835,
+        0.8815,
+        0.878,
+        0.895,
+        0.884,
+        0.872,
+        0.8725,
+        0.8835,
+        0.886,
+        0.8845,
+        0.8885,
+        0.897,
+        0.8805,
+        0.887,
+        0.891,
+        0.8865,
+        0.882,
+        0.8885,
+        0.893,
+        0.8925,
+        0.891,
+        0.8945,
+        0.898,
+        0.897,
+        0.8945,
+        0.8965,
+        0.894,
+        0.896,
+        0.897,
+        0.902,
+        0.897,
+        0.8975,
+        0.9005,
+        0.9,
+        0.895,
+        0.8975,
+        0.899,
+        0.898,
+        0.8975,
+        0.8975,
+        0.8965,
+        0.8985,
+        0.901,
+        0.8975,
+        0.897,
+        0.897,
+        0.8975,
+        0.8975,
+        0.897,
+        0.897
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8824102282524109,
+        0.865839958190918,
+        0.8526839017868042,
+        0.839972198009491,
+        0.826134204864502,
+        0.8190910220146179,
+        0.8134430646896362,
+        0.8095068335533142,
+        0.8061133027076721,
+        0.8034266233444214,
+        0.8016149997711182,
+        0.8001440167427063
+      ],
+      "perturbation_rho": [
+        0.9999990463256836,
+        0.9999975562095642,
+        0.9999887347221375,
+        0.9999736547470093,
+        0.9999515414237976,
+        0.9999052882194519,
+        0.9998592138290405,
+        0.999845027923584,
+        0.99979567527771,
+        0.9997392892837524,
+        0.999713659286499,
+        0.9996709227561951
+      ],
+      "nudging": {
+        "0.001": [
+          -0.03222742676734924,
+          -0.016009416431188583,
+          -0.008412450551986694,
+          -0.005028060637414455,
+          -0.003471477422863245,
+          -0.002676197327673435,
+          -0.002212640829384327,
+          -0.0019189234590157866,
+          -0.0017268857918679714,
+          -0.0015955264680087566,
+          -0.0015064922627061605,
+          -0.0014467197470366955
+        ],
+        "0.003": [
+          -0.088250532746315,
+          -0.04596046730875969,
+          -0.024666687473654747,
+          -0.014880567789077759,
+          -0.010317552834749222,
+          -0.007971002720296383,
+          -0.006598907522857189,
+          -0.005727590061724186,
+          -0.005157099571079016,
+          -0.004766468890011311,
+          -0.004501671064645052,
+          -0.004323706030845642
+        ],
+        "0.01": [
+          -0.21559840440750122,
+          -0.13125374913215637,
+          -0.0758625715970993,
+          -0.04728776216506958,
+          -0.03328181058168411,
+          -0.025909576565027237,
+          -0.021545151248574257,
+          -0.01875336468219757,
+          -0.016917269676923752,
+          -0.015656160190701485,
+          -0.014799138531088829,
+          -0.01422282587736845
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.091241591453552,
+        1.0522155212402344,
+        0.7197729051113129,
+        0.5984360224723816,
+        0.55927502784729,
+        0.5319774662971497,
+        0.48646941194534304,
+        0.5328002332687378,
+        0.5385726051807403,
+        0.580863460111618,
+        0.49310305881500244,
+        0.5983066858291626,
+        0.5821534514427185,
+        0.5875922044754028,
+        0.599033100938797,
+        0.5862060243606567,
+        0.7749097516059875,
+        0.6087754693984986,
+        0.7364706658363342,
+        0.7253197401046753,
+        0.933016799545288,
+        0.8019046752929687,
+        0.6908189784288407,
+        0.5993604675292968,
+        0.7429474418640136,
+        0.7197145952224732,
+        0.7374668367385864,
+        0.676032237815857,
+        0.7813192527770996,
+        0.6604006807804108,
+        0.8066447370529175,
+        0.7775278373718262,
+        0.8043575154304504,
+        0.6516128785610199,
+        0.6490189645051956,
+        0.6631092401742935,
+        0.6493145933866501,
+        0.6440104596614837,
+        0.6592015397071839,
+        0.6828624240875244,
+        0.8400594820022583,
+        0.6588001432418823,
+        0.7000653821468353,
+        0.764811098241806,
+        0.7084193643569946,
+        0.6780031036376953,
+        0.6745406296730041,
+        0.6227908559322357,
+        0.6173504204750061,
+        0.6519232685089111,
+        0.681457055580616,
+        0.5612579683303833,
+        0.7425640492200851,
+        0.6078716424942017,
+        0.5751205417633056,
+        0.5557551406860352,
+        0.5769869324684143,
+        0.5574739450454712,
+        0.5620601721048355,
+        0.5108847286462784,
+        0.5051990665435792,
+        0.5577566593170166,
+        0.5067275173187256,
+        0.5076467472076416,
+        0.500104681968689,
+        0.4845377607345581,
+        0.48600583753585813,
+        0.48937382678985597,
+        0.47086129837036134,
+        0.4627019955635071,
+        0.4640789652824402,
+        0.4643590691566467,
+        0.46600833835601807,
+        0.4590310299873352,
+        0.4536386815071106,
+        0.4487397773385048,
+        0.4473173204421997,
+        0.44602737324237823,
+        0.4437102550506592,
+        0.44304467763900757
+      ],
+      "train_acc": [
+        0.2446,
+        0.6126,
+        0.7299,
+        0.7774,
+        0.7913,
+        0.8001,
+        0.8152,
+        0.8027,
+        0.8023,
+        0.7957,
+        0.8231,
+        0.8073,
+        0.815,
+        0.8163,
+        0.8138,
+        0.8282,
+        0.7956,
+        0.8249,
+        0.8081,
+        0.8089,
+        0.7907,
+        0.8088,
+        0.8266,
+        0.8447,
+        0.8231,
+        0.8263,
+        0.828,
+        0.8404,
+        0.822,
+        0.8396,
+        0.8204,
+        0.8226,
+        0.8249,
+        0.8469,
+        0.842,
+        0.8455,
+        0.8456,
+        0.8484,
+        0.8434,
+        0.8372,
+        0.8221,
+        0.8455,
+        0.8401,
+        0.8275,
+        0.8357,
+        0.8437,
+        0.8472,
+        0.8518,
+        0.8517,
+        0.8478,
+        0.8481,
+        0.864,
+        0.8388,
+        0.853,
+        0.8583,
+        0.8625,
+        0.855,
+        0.86,
+        0.8625,
+        0.8716,
+        0.8695,
+        0.861,
+        0.8703,
+        0.8702,
+        0.8724,
+        0.8745,
+        0.875,
+        0.8768,
+        0.8766,
+        0.8758,
+        0.878,
+        0.8759,
+        0.8773,
+        0.88,
+        0.88,
+        0.8819,
+        0.8813,
+        0.8822,
+        0.8826,
+        0.8829
+      ],
+      "test_acc": [
+        0.48,
+        0.6615,
+        0.707,
+        0.7425,
+        0.715,
+        0.7465,
+        0.753,
+        0.7765,
+        0.69,
+        0.721,
+        0.719,
+        0.7375,
+        0.738,
+        0.76,
+        0.731,
+        0.703,
+        0.717,
+        0.7535,
+        0.716,
+        0.68,
+        0.6755,
+        0.7735,
+        0.781,
+        0.708,
+        0.7465,
+        0.7725,
+        0.7485,
+        0.75,
+        0.7325,
+        0.7805,
+        0.712,
+        0.741,
+        0.7685,
+        0.7415,
+        0.7955,
+        0.777,
+        0.762,
+        0.76,
+        0.783,
+        0.691,
+        0.774,
+        0.7895,
+        0.73,
+        0.776,
+        0.7745,
+        0.771,
+        0.7805,
+        0.7785,
+        0.765,
+        0.781,
+        0.774,
+        0.7755,
+        0.781,
+        0.7965,
+        0.8025,
+        0.804,
+        0.79,
+        0.7915,
+        0.8055,
+        0.804,
+        0.8095,
+        0.805,
+        0.8075,
+        0.812,
+        0.8065,
+        0.806,
+        0.806,
+        0.817,
+        0.8115,
+        0.815,
+        0.81,
+        0.812,
+        0.811,
+        0.8145,
+        0.8115,
+        0.812,
+        0.8155,
+        0.8165,
+        0.8165,
+        0.8165
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.02035588026046753,
+        0.09721152484416962,
+        0.10017214715480804,
+        0.06879279017448425,
+        0.0898706465959549,
+        0.0775061622262001,
+        0.0738426148891449,
+        0.022470442578196526,
+        0.03698011115193367,
+        0.09759337455034256,
+        0.05344103276729584,
+        0.06489317119121552
+      ],
+      "perturbation_rho": [
+        -0.041805852204561234,
+        0.14336195588111877,
+        0.21263040602207184,
+        0.15326815843582153,
+        0.04533267021179199,
+        0.07981619238853455,
+        0.08665720373392105,
+        0.004602088592946529,
+        0.0780038833618164,
+        0.11769488453865051,
+        0.1415681391954422,
+        0.12027023732662201
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0009545196662656963,
+          -0.0008363645756617188,
+          -0.0003885737678501755,
+          -0.00026890120352618396,
+          -0.0002675559953786433,
+          -0.00033352605532854795,
+          -0.0002601599844638258,
+          -0.00011189336510142311,
+          -0.0001840656332205981,
+          -0.0003697811043821275,
+          -0.0001971298042917624,
+          -0.00022067477402742952
+        ],
+        "0.003": [
+          -0.0027363700792193413,
+          -0.0025048283860087395,
+          -0.0011647494975477457,
+          -0.000811159610748291,
+          -0.0008012806065380573,
+          -0.0010005887597799301,
+          -0.0007811359828338027,
+          -0.00033516576513648033,
+          -0.0005535727832466364,
+          -0.0011049836175516248,
+          -0.0005915613146498799,
+          -0.0006592696299776435
+        ],
+        "0.01": [
+          -0.007749770302325487,
+          -0.008321389555931091,
+          -0.003876405069604516,
+          -0.0026999912224709988,
+          -0.0026630363427102566,
+          -0.0033310302533209324,
+          -0.0026011697482317686,
+          -0.0011158722918480635,
+          -0.0018408913165330887,
+          -0.0036767907440662384,
+          -0.0019704087171703577,
+          -0.0021951368544250727
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.843170643234253,
+        1.193545725440979,
+        0.9349142212867737,
+        0.9590050317764283,
+        0.9601007102966309,
+        1.0591806930541992,
+        1.0750218585968017,
+        1.0594622192382812,
+        1.0260618852615357,
+        1.0633037223815918,
+        1.1873747802734376,
+        1.1900213710784913,
+        1.1711347143173219,
+        1.110907957649231,
+        1.141725605583191,
+        1.1908537561416626,
+        1.1576408653259278,
+        1.2335913299560546,
+        1.1927038297653199,
+        1.1675678352355956,
+        1.1620887538909912,
+        1.238514815044403,
+        1.1467733171463013,
+        1.1628135605812073,
+        1.1169413381576538,
+        1.1289218362808227,
+        1.1431014865875244,
+        1.0724326686859131,
+        1.020245622253418,
+        0.9871452375411988,
+        1.013824908065796,
+        1.057583949661255,
+        1.0269935136795043,
+        1.0403342270851135,
+        1.0003446009635926,
+        1.023628770160675,
+        0.9621780359268188,
+        0.9958351311683655,
+        0.9854215185165405,
+        0.94918332862854,
+        0.9539219416618347,
+        0.9634699941635132,
+        0.9163962741851807,
+        0.89243365650177,
+        0.8894084901809692,
+        0.9069821780204773,
+        0.9070278909683227,
+        0.9259662859916687,
+        0.9052657639503479,
+        0.8919173622131348,
+        0.8811036640167237,
+        0.877770324420929,
+        0.8617347580909729,
+        0.8443253430366516,
+        0.8402864801406861,
+        0.8299113247871399,
+        0.8174763144493103,
+        0.8079615959167481,
+        0.796233709526062,
+        0.7943985921859741,
+        0.7881768466949463,
+        0.7766195007324219,
+        0.7731075840473175,
+        0.767168036365509,
+        0.7628648261070251,
+        0.764765630197525,
+        0.758231233215332,
+        0.7616345821380616,
+        0.7603204396247863,
+        0.7553847047805786,
+        0.7550768209457397,
+        0.7540734338760376,
+        0.7542704034805298,
+        0.7539316363334656,
+        0.7512542444229126,
+        0.751466016960144,
+        0.7500110761642456,
+        0.7499307077407837,
+        0.7494694025039673,
+        0.7491868644714356
+      ],
+      "train_acc": [
+        0.3634,
+        0.584,
+        0.6681,
+        0.6817,
+        0.6731,
+        0.6436,
+        0.6318,
+        0.6412,
+        0.6483,
+        0.6338,
+        0.6131,
+        0.6092,
+        0.6072,
+        0.6194,
+        0.6114,
+        0.6033,
+        0.6136,
+        0.5971,
+        0.6066,
+        0.6075,
+        0.6054,
+        0.5811,
+        0.6084,
+        0.6094,
+        0.6267,
+        0.6203,
+        0.6182,
+        0.6388,
+        0.6563,
+        0.6621,
+        0.656,
+        0.6457,
+        0.6542,
+        0.6535,
+        0.6622,
+        0.6504,
+        0.665,
+        0.653,
+        0.6581,
+        0.6737,
+        0.6644,
+        0.6634,
+        0.6761,
+        0.6825,
+        0.6815,
+        0.6846,
+        0.6805,
+        0.6738,
+        0.6866,
+        0.6853,
+        0.6905,
+        0.6901,
+        0.696,
+        0.6979,
+        0.7064,
+        0.7099,
+        0.7107,
+        0.7138,
+        0.7154,
+        0.7173,
+        0.7194,
+        0.7222,
+        0.7244,
+        0.7262,
+        0.7263,
+        0.725,
+        0.7318,
+        0.732,
+        0.7284,
+        0.7291,
+        0.7306,
+        0.7327,
+        0.7306,
+        0.7294,
+        0.7325,
+        0.7319,
+        0.7341,
+        0.7327,
+        0.7337,
+        0.7334
+      ],
+      "test_acc": [
+        0.4985,
+        0.6215,
+        0.6765,
+        0.644,
+        0.6285,
+        0.602,
+        0.593,
+        0.6145,
+        0.604,
+        0.571,
+        0.5675,
+        0.55,
+        0.58,
+        0.5485,
+        0.5415,
+        0.5615,
+        0.5325,
+        0.498,
+        0.495,
+        0.5825,
+        0.5105,
+        0.547,
+        0.575,
+        0.5695,
+        0.5825,
+        0.5755,
+        0.5925,
+        0.605,
+        0.626,
+        0.624,
+        0.6195,
+        0.625,
+        0.619,
+        0.619,
+        0.6005,
+        0.631,
+        0.6155,
+        0.6075,
+        0.616,
+        0.637,
+        0.5925,
+        0.628,
+        0.627,
+        0.6325,
+        0.6275,
+        0.64,
+        0.6285,
+        0.6405,
+        0.638,
+        0.6405,
+        0.6565,
+        0.6465,
+        0.659,
+        0.666,
+        0.6645,
+        0.6575,
+        0.682,
+        0.669,
+        0.674,
+        0.6885,
+        0.6815,
+        0.679,
+        0.6755,
+        0.682,
+        0.6795,
+        0.686,
+        0.682,
+        0.68,
+        0.6845,
+        0.688,
+        0.6865,
+        0.686,
+        0.687,
+        0.687,
+        0.687,
+        0.686,
+        0.688,
+        0.6865,
+        0.6865,
+        0.687
+      ],
+      "state_pred_error": [
+        0.6467912001609802,
+        0.2545396152973175,
+        0.20769398341178893,
+        0.20405273129940033,
+        0.18864516608715057,
+        0.1722513226032257,
+        0.1580212815761566,
+        0.1571042188167572,
+        0.1673955574989319,
+        0.1630590828895569,
+        0.14197517161369325,
+        0.13434906735420227,
+        0.14216270933151245,
+        0.13005418779850006,
+        0.12095460612773895,
+        0.11327731199264526,
+        0.0938235213279724,
+        0.07791765773296357,
+        0.07149236190319061,
+        0.07858237608671188,
+        0.0889093372106552,
+        0.0929118694782257,
+        0.0870423443198204,
+        0.09221649793386459,
+        0.10558602612018585,
+        0.11078759597539901,
+        0.09640501194000244,
+        0.08363894666433334,
+        0.07552479531764984,
+        0.06893316633701324,
+        0.07225388768911362,
+        0.07809946043491363,
+        0.07972891807556153,
+        0.07829325978159904,
+        0.07489659252166748,
+        0.06952577213048936,
+        0.06463980766534805,
+        0.06346644792556763,
+        0.06054295033812523,
+        0.057002867662906645,
+        0.04881957597732544,
+        0.0461565929889679,
+        0.045704828941822054,
+        0.04578752514719963,
+        0.044416132467985155,
+        0.04437544884681702,
+        0.04501764898300171,
+        0.044673075044155124,
+        0.04345381007194519,
+        0.04358632897734642,
+        0.04145509601831436,
+        0.0403918799161911,
+        0.039635618847608564,
+        0.03812404837608337,
+        0.036712032747268676,
+        0.03498043670654297,
+        0.03441862116456032,
+        0.03294241904020309,
+        0.03208653058409691,
+        0.03133675431907177,
+        0.030832906076312065,
+        0.03027755205631256,
+        0.02992823379933834,
+        0.029483068200945855,
+        0.0286442294716835,
+        0.02817883363366127,
+        0.027806038296222687,
+        0.027423375517129898,
+        0.027105927157402038,
+        0.026499537679553032,
+        0.025793941861391067,
+        0.025682287681102752,
+        0.025424988290667534,
+        0.02452395534515381,
+        0.024412634512782097,
+        0.023537403476238252,
+        0.023103883719444274,
+        0.023237476989626884,
+        0.022374696707725523,
+        0.02213728377223015
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.7618155479431152,
+        0.3189862072467804,
+        0.20356883108615875,
+        0.1471748650074005,
+        0.14541830122470856,
+        0.13144558668136597,
+        0.11054451763629913,
+        0.12045299261808395,
+        0.11467338353395462,
+        0.1017053946852684,
+        0.10614258050918579,
+        0.10096963495016098
+      ],
+      "perturbation_rho": [
+        0.6406711339950562,
+        0.31470298767089844,
+        0.1861359179019928,
+        0.17725443840026855,
+        0.11286133527755737,
+        0.1387007087469101,
+        0.07976903766393661,
+        0.11419158428907394,
+        0.13525697588920593,
+        0.13865813612937927,
+        0.10792528837919235,
+        0.1288726031780243
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02620597556233406,
+          -0.0011723835486918688,
+          -0.0006386470049619675,
+          -0.0004590698517858982,
+          -0.0004368656955193728,
+          -0.00040132386493496597,
+          -0.00033375341445207596,
+          -0.0003613364533521235,
+          -0.00034441970637999475,
+          -0.0003074322594329715,
+          -0.0003160890773870051,
+          -0.0002936453965958208
+        ],
+        "0.003": [
+          -0.07732252031564713,
+          -0.003513920586556196,
+          -0.0019150176085531712,
+          -0.0013760130386799574,
+          -0.0013105350080877542,
+          -0.0012034340761601925,
+          -0.0010010767728090286,
+          -0.0010843132622539997,
+          -0.0010324888862669468,
+          -0.0009225246030837297,
+          -0.0009475111728534102,
+          -0.000881188316270709
+        ],
+        "0.01": [
+          -0.24276113510131836,
+          -0.011681582778692245,
+          -0.006372842937707901,
+          -0.004580066539347172,
+          -0.004361784551292658,
+          -0.004005158320069313,
+          -0.0033329487778246403,
+          -0.003609130624681711,
+          -0.003437052248045802,
+          -0.003070915350690484,
+          -0.0031537071336060762,
+          -0.0029334095306694508
+        ]
+      },
+      "state_pred_error_per_layer": [
+        13069.6103515625,
+        12902.267578125,
+        5325.7177734375,
+        4598.6796875,
+        4871.38818359375,
+        4525.17333984375,
+        4230.712890625,
+        4117.212890625,
+        3694.05078125,
+        3737.547607421875,
+        3966.26025390625,
+        4157.70654296875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.1033826606750488,
+        1.0748736568450927,
+        0.7240967851638794,
+        0.5924014734268188,
+        0.561312539768219,
+        0.5548838109970092,
+        0.5445125359535218,
+        0.5231592364311218,
+        0.5370318948268891,
+        0.5203416132450104,
+        0.5313664150238037,
+        0.5501730252742767,
+        0.5255774791955948,
+        0.6364645127296448,
+        0.7171019055366517,
+        0.5824658064305782,
+        0.5903935560703277,
+        0.6552688138961792,
+        0.7979116170406342,
+        0.8206407766342163,
+        0.8171166659355164,
+        0.9182533592224121,
+        0.9087733953475953,
+        0.9816526121139526,
+        1.0274024284362793,
+        0.9425600393295288,
+        1.0292234921455383,
+        1.0032360237121583,
+        1.0786525871276855,
+        0.9839243467330933,
+        1.1140670619487762,
+        1.24523821849823,
+        1.6123345489501952,
+        1.5466830284118653,
+        1.4625207302093506,
+        1.4497597217559814,
+        1.2631195013046264,
+        1.285225419998169,
+        1.1248238891601563,
+        1.3207208611488341,
+        1.1724660835266114,
+        1.1170583526611328,
+        1.1232026329994202,
+        1.1826211513519287,
+        1.1198238399505616,
+        1.2758455450057984,
+        1.3378776414871216,
+        1.3473635297775268,
+        1.3659595549583434,
+        1.3431388856887818,
+        1.2782950267791748,
+        1.2850243312835694,
+        1.252669066619873,
+        1.339367476272583,
+        1.242458748817444,
+        1.230945915222168,
+        1.2400875186920166,
+        1.2213593549728394,
+        1.2046165678024292,
+        1.2265458261489868,
+        1.1864308532714845,
+        1.1639758094787598,
+        1.1673540477752686,
+        1.1801281490325928,
+        1.1353608043670653,
+        1.1621911179542541,
+        1.1203375988006592,
+        1.1035721940040588,
+        1.103725563430786,
+        1.0981345941543579,
+        1.0916361534118653,
+        1.0767202972412109,
+        1.077680862236023,
+        1.0722866813659668,
+        1.0760423473358154,
+        1.070871086883545,
+        1.069193116569519,
+        1.0655735412597656,
+        1.0649883579254151,
+        1.064067266368866
+      ],
+      "train_acc": [
+        0.2354,
+        0.6085,
+        0.7242,
+        0.775,
+        0.7907,
+        0.7907,
+        0.7949,
+        0.8044,
+        0.8041,
+        0.8146,
+        0.8192,
+        0.819,
+        0.8235,
+        0.8034,
+        0.7958,
+        0.8229,
+        0.8218,
+        0.8163,
+        0.8019,
+        0.7992,
+        0.8047,
+        0.7917,
+        0.7848,
+        0.7655,
+        0.7523,
+        0.7595,
+        0.7344,
+        0.7334,
+        0.7218,
+        0.7249,
+        0.6916,
+        0.6803,
+        0.6402,
+        0.6413,
+        0.6429,
+        0.63,
+        0.6482,
+        0.6414,
+        0.6647,
+        0.6255,
+        0.6497,
+        0.6516,
+        0.6494,
+        0.6409,
+        0.653,
+        0.623,
+        0.6096,
+        0.6181,
+        0.6077,
+        0.6099,
+        0.6135,
+        0.6072,
+        0.6083,
+        0.5871,
+        0.6069,
+        0.608,
+        0.6128,
+        0.6105,
+        0.6132,
+        0.6069,
+        0.6163,
+        0.6195,
+        0.6177,
+        0.6132,
+        0.6257,
+        0.6214,
+        0.6258,
+        0.6301,
+        0.6275,
+        0.6326,
+        0.6342,
+        0.6369,
+        0.6366,
+        0.6378,
+        0.6381,
+        0.6404,
+        0.6361,
+        0.6387,
+        0.6408,
+        0.6389
+      ],
+      "test_acc": [
+        0.4725,
+        0.6485,
+        0.709,
+        0.696,
+        0.7445,
+        0.725,
+        0.7285,
+        0.7285,
+        0.7285,
+        0.7705,
+        0.7485,
+        0.759,
+        0.7485,
+        0.7405,
+        0.7365,
+        0.732,
+        0.7405,
+        0.718,
+        0.739,
+        0.739,
+        0.718,
+        0.7465,
+        0.7445,
+        0.7155,
+        0.668,
+        0.7365,
+        0.6875,
+        0.644,
+        0.6715,
+        0.573,
+        0.628,
+        0.5135,
+        0.567,
+        0.4905,
+        0.576,
+        0.522,
+        0.544,
+        0.568,
+        0.537,
+        0.5915,
+        0.61,
+        0.5865,
+        0.5695,
+        0.606,
+        0.557,
+        0.5285,
+        0.5355,
+        0.589,
+        0.569,
+        0.5705,
+        0.559,
+        0.543,
+        0.526,
+        0.5555,
+        0.5485,
+        0.577,
+        0.567,
+        0.5515,
+        0.562,
+        0.5815,
+        0.5775,
+        0.5885,
+        0.5955,
+        0.6,
+        0.5825,
+        0.59,
+        0.6035,
+        0.6035,
+        0.606,
+        0.6095,
+        0.6165,
+        0.613,
+        0.615,
+        0.6165,
+        0.617,
+        0.613,
+        0.617,
+        0.613,
+        0.6145,
+        0.6145
+      ],
+      "value_loss": [
+        2.8795433490753175,
+        1.138833139228821,
+        0.8944398401260376,
+        0.753239490032196,
+        0.7442562434196472,
+        0.7400344492912293,
+        0.7306710628509522,
+        0.7415657516479492,
+        0.82294074883461,
+        0.8365529833316803,
+        0.8819458911895752,
+        1.0201535857915878,
+        0.9605329707860947,
+        1.4210680746555329,
+        1.7769229404449463,
+        1.238111216878891,
+        1.2918084540724755,
+        1.5650643337249757,
+        2.441974627304077,
+        2.8493117763519287,
+        3.0508531768798828,
+        3.376968189239502,
+        3.1227704570770265,
+        3.2954182872772217,
+        3.1305700786590576,
+        2.5652926385879518,
+        2.916162197494507,
+        2.787790596961975,
+        2.9674931542396545,
+        2.2431891622543336,
+        2.357407363319397,
+        2.9580355476379396,
+        4.707226892852783,
+        4.06712333908081,
+        3.4517571243286134,
+        3.739633938217163,
+        2.3796893051147463,
+        2.312957144165039,
+        1.6016325395584106,
+        1.888862350463867,
+        1.6106449718475342,
+        1.6451952739715576,
+        1.278008158302307,
+        1.402012867116928,
+        1.120068933391571,
+        1.792665054321289,
+        1.7022325145721435,
+        1.8678716411590577,
+        1.6293914850234985,
+        1.4686889837265014,
+        1.2121935440063476,
+        1.2230595738887786,
+        1.0494541343688966,
+        1.3173374273300171,
+        0.995644793176651,
+        0.988969333744049,
+        0.9092360616207122,
+        0.931911379814148,
+        0.9861841753005981,
+        0.8858683162212372,
+        0.9150554649353028,
+        0.7729743946075439,
+        0.8225113790512085,
+        0.7946224576473236,
+        0.7470991016387939,
+        0.7245953347682953,
+        0.6737630318641663,
+        0.6625622462272645,
+        0.6309533950805664,
+        0.683922253704071,
+        0.6013473030090332,
+        0.640416144156456,
+        0.5948970086336136,
+        0.5904984499931335,
+        0.7156881134033203,
+        0.5747135852813721,
+        0.5855776166915894,
+        0.5862875978469848,
+        0.5623929689884186,
+        0.5342490439891815
+      ],
+      "term_loss": [
+        1.6790412804603576,
+        0.8982505217552185,
+        0.7413894156932831,
+        0.6220758651733398,
+        0.6074585275650024,
+        0.5809205256462097,
+        0.5737000848770142,
+        0.5971134037017822,
+        0.6812812467336654,
+        0.701437530875206,
+        0.7465327880859375,
+        0.8768298113107681,
+        0.8273132968902588,
+        1.2669593958616256,
+        1.61081964635849,
+        1.0948760835170745,
+        1.1464744834303855,
+        1.402798189163208,
+        2.2375652463912963,
+        2.523746669578552,
+        2.6504026668548586,
+        2.9341827514648435,
+        2.691425150680542,
+        2.7866681671142577,
+        2.652672901535034,
+        2.2063637409210206,
+        2.547779343557358,
+        2.468216030406952,
+        2.5574094997406007,
+        1.8789901941299438,
+        1.9658982633590698,
+        2.52254821395874,
+        4.053012676239014,
+        3.474026759338379,
+        2.8665278963088987,
+        2.968799212646484,
+        1.9112021133422852,
+        1.8258201915740966,
+        1.2143830659866333,
+        1.4988377429962159,
+        1.2614112941741944,
+        1.2955748889923095,
+        0.9486180826187134,
+        1.0766471548080445,
+        0.818901381111145,
+        1.425261696243286,
+        1.3437454446792603,
+        1.4943192962646485,
+        1.275571553325653,
+        1.1279070884227753,
+        0.8779431870937348,
+        0.8859598497360944,
+        0.7277735261440277,
+        0.9731939913749695,
+        0.6878395918846131,
+        0.680720578956604,
+        0.6131223832130432,
+        0.6315723412513733,
+        0.6783120639801026,
+        0.5902733963012695,
+        0.6128241561889648,
+        0.48777494831085205,
+        0.5294700266361236,
+        0.5069688389539718,
+        0.46669540004730226,
+        0.4496366826176643,
+        0.40343587884902954,
+        0.3926115131378174,
+        0.3630800880432129,
+        0.4072012848377228,
+        0.3359340609073639,
+        0.3683177730798721,
+        0.3314026749163866,
+        0.32736128149032595,
+        0.4275485870361328,
+        0.31639244627952573,
+        0.31941745207309724,
+        0.31965322036743166,
+        0.3014388550043106,
+        0.2775654150247574
+      ],
+      "bridge_loss": [
+        0.9205643273350259,
+        0.049716909077763556,
+        0.006901342153549195,
+        0.004086462584137917,
+        0.011321419489383698,
+        0.03111027323231101,
+        0.028954532250761986,
+        0.0201554466471076,
+        0.014559349776804446,
+        0.012043245652318001,
+        0.009253665941953659,
+        0.015398956954479218,
+        0.010174707736074925,
+        0.013219280099868775,
+        0.014298373484611512,
+        0.01533438156247139,
+        0.017070907866954803,
+        0.026255203837156297,
+        0.05299281061887741,
+        0.17080406608581544,
+        0.24779340076446532,
+        0.2782947730541229,
+        0.2630520602226257,
+        0.3237492141723633,
+        0.2868452004909515,
+        0.17925718649625777,
+        0.17205788164138794,
+        0.12203870689868927,
+        0.1952126978158951,
+        0.15671373710632325,
+        0.16713737347126006,
+        0.19014450411796568,
+        0.36893905363082885,
+        0.31131081352233886,
+        0.31187417430877684,
+        0.49280351762771607,
+        0.21481027870178224,
+        0.2258558230161667,
+        0.14994133372306823,
+        0.130926451587677,
+        0.10678757133483886,
+        0.11099275469779968,
+        0.09215516982972621,
+        0.07868353074193,
+        0.059325709569454196,
+        0.1034778290361166,
+        0.08524036257266998,
+        0.0978135336279869,
+        0.07102513880133629,
+        0.06375027797222138,
+        0.06410591588020324,
+        0.06628356148302555,
+        0.05309232649803162,
+        0.0602637135386467,
+        0.041760663875937465,
+        0.04346258090734482,
+        0.0322291255697608,
+        0.036784381067752836,
+        0.047651028633117674,
+        0.03259250336289406,
+        0.044905204331874844,
+        0.03081065520644188,
+        0.03847316392660141,
+        0.02912857881039381,
+        0.031706764674186705,
+        0.023801118858903646,
+        0.023423786050081254,
+        0.02463961470723152,
+        0.022945232474803925,
+        0.031977996022999285,
+        0.02354992071390152,
+        0.031676595094799996,
+        0.022221289660036565,
+        0.023916197538375854,
+        0.04762986923456192,
+        0.01927408311367035,
+        0.02702880091071129,
+        0.0285713312625885,
+        0.022266658338904382,
+        0.01819542294666171
+      ],
+      "tgrad_loss": [
+        0.27993770937919615,
+        0.19086571320295334,
+        0.1461490781903267,
+        0.12707716104984285,
+        0.12547629919052125,
+        0.1280036602139473,
+        0.12801644196510314,
+        0.1242969009399414,
+        0.12710014595985414,
+        0.12307221227884292,
+        0.1261594377040863,
+        0.12792480454444885,
+        0.1230449640750885,
+        0.14088939685821533,
+        0.15180491466522217,
+        0.12790074618458747,
+        0.1282630600363016,
+        0.13601094789505006,
+        0.15141655212640762,
+        0.15476103026866914,
+        0.15265711691379547,
+        0.16449068531990052,
+        0.16829325798749925,
+        0.1850009373664856,
+        0.19105196151733397,
+        0.1796716957807541,
+        0.19632497339248658,
+        0.1975358585357666,
+        0.2148709450483322,
+        0.20748521902561187,
+        0.22437173571586608,
+        0.24534283994436265,
+        0.2852751801490784,
+        0.2817857069015503,
+        0.2733550168991089,
+        0.27803118324279785,
+        0.2536769271850586,
+        0.261281143283844,
+        0.23730815300941469,
+        0.259098140335083,
+        0.24244610705375672,
+        0.23862764320373536,
+        0.23723490653038026,
+        0.24668219068050384,
+        0.24184185400009156,
+        0.2639255453109741,
+        0.27324670872688295,
+        0.27573881940841677,
+        0.28279479751586917,
+        0.2770316267490387,
+        0.2701444469451904,
+        0.27081617115736006,
+        0.268588280916214,
+        0.28387971448898314,
+        0.2660445416927338,
+        0.2647861789703369,
+        0.2638845456361771,
+        0.26355465149879453,
+        0.260221079993248,
+        0.26300240964889526,
+        0.25732610797882083,
+        0.2543887885093689,
+        0.25456818895339967,
+        0.25852504687309263,
+        0.24869694046974183,
+        0.2511575377345085,
+        0.24690336623191833,
+        0.24531111750602722,
+        0.24492807807922362,
+        0.24474297270774842,
+        0.24186331791877747,
+        0.2404217655658722,
+        0.24127304337024688,
+        0.23922096462249756,
+        0.24050965766906737,
+        0.23904705972671508,
+        0.23913136382102967,
+        0.2380630495071411,
+        0.2386874575138092,
+        0.2384882021665573
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.00034100248012691736,
+        0.04912012815475464,
+        0.07342620939016342,
+        0.08266763389110565,
+        0.08488726615905762,
+        0.08897420018911362,
+        0.09187051653862,
+        0.09561659395694733,
+        0.09157264232635498,
+        0.0947732925415039,
+        0.09517554938793182,
+        0.10104557126760483
+      ],
+      "perturbation_rho": [
+        0.03049650974571705,
+        0.10809889435768127,
+        0.08979646861553192,
+        0.17959633469581604,
+        0.1275440901517868,
+        0.17255432903766632,
+        0.16415373980998993,
+        0.11534757167100906,
+        0.17073199152946472,
+        0.15983673930168152,
+        0.15877583622932434,
+        0.18294689059257507
+      ],
+      "nudging": {
+        "0.001": [
+          -0.000400771910790354,
+          -0.0004662078863475472,
+          -0.0005619406583718956,
+          -0.0006374302320182323,
+          -0.0006211107829585671,
+          -0.0006620356580242515,
+          -0.0006802619900554419,
+          -0.000695920898579061,
+          -0.000679123040754348,
+          -0.0006845796597190201,
+          -0.0006896791164763272,
+          -0.0007078879280015826
+        ],
+        "0.003": [
+          -0.0011788331903517246,
+          -0.0013967687264084816,
+          -0.00168684555683285,
+          -0.0019111934816464782,
+          -0.001862682867795229,
+          -0.001987476134672761,
+          -0.002041077706962824,
+          -0.0020898221991956234,
+          -0.0020393673330545425,
+          -0.0020541974809020758,
+          -0.0020654238760471344,
+          -0.002122731413692236
+        ],
+        "0.01": [
+          -0.003660556860268116,
+          -0.004647519439458847,
+          -0.005617665126919746,
+          -0.006360755302011967,
+          -0.006202561780810356,
+          -0.006613034754991531,
+          -0.006794797722250223,
+          -0.006956290453672409,
+          -0.006790010258555412,
+          -0.006838815752416849,
+          -0.006875438615679741,
+          -0.007062861695885658
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L12_s456.json b/results/synth_ladder_v2_lo/synth_a0.25_L12_s456.json
new file mode 100644
index 0000000..2d51c87
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L12_s456.json
@@ -0,0 +1,1722 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        0.9947674840927124,
+        0.5959297422885895,
+        0.4441185667037964,
+        0.4238312294960022,
+        0.4082300910949707,
+        0.393765958237648,
+        0.3456931649684906,
+        0.31308822474479675,
+        0.34416239910125734,
+        0.27713756511211396,
+        0.308809486413002,
+        0.3001532375335693,
+        0.3525312074661255,
+        0.34459256377220154,
+        0.2930661339998245,
+        0.2344497579097748,
+        0.23357478170394896,
+        0.27331467504501344,
+        0.2594615140080452,
+        0.2084457780122757,
+        0.22421327531337737,
+        0.2495953950881958,
+        0.26592646188735963,
+        0.2653880777835846,
+        0.20616664996147155,
+        0.23063301057815552,
+        0.2234852524280548,
+        0.18022556896209715,
+        0.19890744733810425,
+        0.18154424366950989,
+        0.189240668797493,
+        0.19498020770549773,
+        0.16609342606067656,
+        0.16478614134788513,
+        0.16893418736457824,
+        0.1679157147884369,
+        0.15672187466621398,
+        0.15162110064029694,
+        0.133504154253006,
+        0.1337939938545227,
+        0.184183518242836,
+        0.1587675848007202,
+        0.1786697045326233,
+        0.16375601427555084,
+        0.12898387837409972,
+        0.12127504997253417,
+        0.1357682282924652,
+        0.10440323195457459,
+        0.09760309319496155,
+        0.11050140519142151,
+        0.10689635886847973,
+        0.08951765444278717,
+        0.09638235607147216,
+        0.09622903165221214,
+        0.08356250081062316,
+        0.09570504027605056,
+        0.08704132456183433,
+        0.07892893888950347,
+        0.07683630051612854,
+        0.07765760183334351,
+        0.0783784222126007,
+        0.07589095104932785,
+        0.07282794521450997,
+        0.07019219055175781,
+        0.07221138014793396,
+        0.06894144759178161,
+        0.066200683760643,
+        0.06355799829363823,
+        0.0628858461380005,
+        0.06295600434541702,
+        0.06119969562292099,
+        0.0605082638591528,
+        0.05951749495267868,
+        0.05923395432829857,
+        0.058772369563579556,
+        0.058454980385303494,
+        0.058216135403513905,
+        0.05801380957365036,
+        0.05786988719701767,
+        0.057799397979676724
+      ],
+      "train_acc": [
+        0.6354,
+        0.7735,
+        0.8247,
+        0.8317,
+        0.8432,
+        0.844,
+        0.8605,
+        0.8726,
+        0.8612,
+        0.8887,
+        0.8785,
+        0.8806,
+        0.8632,
+        0.8671,
+        0.8851,
+        0.9049,
+        0.9085,
+        0.8919,
+        0.8975,
+        0.9172,
+        0.9096,
+        0.901,
+        0.8955,
+        0.8924,
+        0.9181,
+        0.9095,
+        0.911,
+        0.9299,
+        0.9217,
+        0.9287,
+        0.9245,
+        0.9228,
+        0.9328,
+        0.9344,
+        0.9341,
+        0.9335,
+        0.9386,
+        0.9404,
+        0.9484,
+        0.9483,
+        0.924,
+        0.9353,
+        0.9302,
+        0.9351,
+        0.9511,
+        0.9544,
+        0.9482,
+        0.9636,
+        0.97,
+        0.9597,
+        0.9625,
+        0.9734,
+        0.9669,
+        0.9669,
+        0.9761,
+        0.9696,
+        0.9733,
+        0.9785,
+        0.9784,
+        0.9789,
+        0.9784,
+        0.9804,
+        0.9831,
+        0.9837,
+        0.9821,
+        0.9839,
+        0.9859,
+        0.9886,
+        0.988,
+        0.9867,
+        0.9895,
+        0.9897,
+        0.9903,
+        0.9901,
+        0.9906,
+        0.9906,
+        0.9905,
+        0.9906,
+        0.9907,
+        0.9907
+      ],
+      "test_acc": [
+        0.757,
+        0.798,
+        0.8185,
+        0.839,
+        0.8365,
+        0.831,
+        0.859,
+        0.8515,
+        0.843,
+        0.8645,
+        0.8585,
+        0.8575,
+        0.857,
+        0.855,
+        0.8715,
+        0.867,
+        0.857,
+        0.8595,
+        0.879,
+        0.8755,
+        0.8675,
+        0.864,
+        0.869,
+        0.869,
+        0.8825,
+        0.8745,
+        0.8745,
+        0.8825,
+        0.872,
+        0.879,
+        0.8785,
+        0.8805,
+        0.8895,
+        0.8745,
+        0.8815,
+        0.8835,
+        0.886,
+        0.8925,
+        0.895,
+        0.887,
+        0.873,
+        0.8845,
+        0.884,
+        0.8825,
+        0.8935,
+        0.8925,
+        0.893,
+        0.894,
+        0.8895,
+        0.895,
+        0.901,
+        0.899,
+        0.9035,
+        0.893,
+        0.8915,
+        0.8965,
+        0.898,
+        0.9,
+        0.896,
+        0.898,
+        0.8935,
+        0.899,
+        0.898,
+        0.899,
+        0.9025,
+        0.896,
+        0.8975,
+        0.9,
+        0.8985,
+        0.8985,
+        0.9005,
+        0.899,
+        0.8975,
+        0.898,
+        0.898,
+        0.8985,
+        0.899,
+        0.899,
+        0.899,
+        0.899
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8408721685409546,
+        0.8110387921333313,
+        0.7906323671340942,
+        0.7719681262969971,
+        0.7599710822105408,
+        0.7539124488830566,
+        0.7502779364585876,
+        0.7483201026916504,
+        0.7469743490219116,
+        0.7455896139144897,
+        0.7440224885940552,
+        0.7427754402160645
+      ],
+      "perturbation_rho": [
+        0.9999985694885254,
+        0.9999968409538269,
+        0.9999892711639404,
+        0.9999746680259705,
+        0.9999452233314514,
+        0.9998985528945923,
+        0.999815821647644,
+        0.9998071789741516,
+        0.9997591972351074,
+        0.9997697472572327,
+        0.9996993541717529,
+        0.9996582269668579
+      ],
+      "nudging": {
+        "0.001": [
+          -0.023041635751724243,
+          -0.011698233895003796,
+          -0.006238154135644436,
+          -0.0037476818542927504,
+          -0.0025868481025099754,
+          -0.001987478695809841,
+          -0.0016404282068833709,
+          -0.0014207971980795264,
+          -0.0012741510290652514,
+          -0.0011747813550755382,
+          -0.0011064992286264896,
+          -0.001060901558957994
+        ],
+        "0.003": [
+          -0.06129148602485657,
+          -0.033079855144023895,
+          -0.01814448833465576,
+          -0.011038530617952347,
+          -0.0076637002639472485,
+          -0.005905331112444401,
+          -0.004882573150098324,
+          -0.004233422689139843,
+          -0.0037992263678461313,
+          -0.0035047021228820086,
+          -0.0033022318966686726,
+          -0.003166868584230542
+        ],
+        "0.01": [
+          -0.1375543624162674,
+          -0.0896252989768982,
+          -0.05422336980700493,
+          -0.034489020705223083,
+          -0.024439619854092598,
+          -0.019029833376407623,
+          -0.015829749405384064,
+          -0.013777680695056915,
+          -0.012396320700645447,
+          -0.011455517262220383,
+          -0.01080663874745369,
+          -0.01037222146987915
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.124322125816345,
+        1.131116539478302,
+        0.7928409598350525,
+        0.6759025037765503,
+        0.6115491585731506,
+        0.6032277975082397,
+        0.5580433654785156,
+        0.6098665882110595,
+        0.6155833411216736,
+        0.6180649537801742,
+        0.5471897947311402,
+        0.7873612755775452,
+        0.6355358539581298,
+        0.9136189843177795,
+        0.618724655532837,
+        0.6802553035736084,
+        0.5858199717521667,
+        0.7376443414211273,
+        0.7392737801551819,
+        0.6306376735687256,
+        0.7112307133674621,
+        0.9737488382339478,
+        0.9086463136672973,
+        0.850034592628479,
+        0.6517437356948853,
+        1.2407935445785523,
+        1.1789815021514893,
+        1.020478351020813,
+        0.7643687894821167,
+        0.8357456016540528,
+        1.1298155811309814,
+        0.8742633706092835,
+        0.6635566035270691,
+        0.6822684181213379,
+        1.066520718383789,
+        1.0742153341770173,
+        0.6373770482063293,
+        0.6482282336235047,
+        0.5901363306045532,
+        0.7677202499389648,
+        0.8966454248428345,
+        0.6450998259544373,
+        0.7499248750686646,
+        0.6379090648174286,
+        0.7380184473991394,
+        0.6519559772491456,
+        0.6984748714447021,
+        0.7411647702217102,
+        0.583937159729004,
+        0.61994026222229,
+        0.6090516567468643,
+        0.47370276279449464,
+        0.4794863220214844,
+        0.6398159673810005,
+        0.4859983974456787,
+        0.4938936637878418,
+        0.5712474269390106,
+        0.4674346417427063,
+        0.5590529252052308,
+        0.46515351371765135,
+        0.4210616909980774,
+        0.44265751304626466,
+        0.41583880286216734,
+        0.3911753342151642,
+        0.41973802375793456,
+        0.4061159435272217,
+        0.3860981136798859,
+        0.3852514534473419,
+        0.39405768866539004,
+        0.37666168694496155,
+        0.3830901497840881,
+        0.3774588644981384,
+        0.36966973986625673,
+        0.3606788787841797,
+        0.3621327772021294,
+        0.35749068994522093,
+        0.35715772972106935,
+        0.35473382360935213,
+        0.35407376971244814,
+        0.35300638766288756
+      ],
+      "train_acc": [
+        0.2313,
+        0.5939,
+        0.7093,
+        0.7511,
+        0.7705,
+        0.7765,
+        0.7968,
+        0.7762,
+        0.7721,
+        0.7781,
+        0.7964,
+        0.7469,
+        0.77,
+        0.718,
+        0.7773,
+        0.7627,
+        0.7806,
+        0.751,
+        0.7478,
+        0.7717,
+        0.7445,
+        0.715,
+        0.7042,
+        0.722,
+        0.7591,
+        0.6789,
+        0.6837,
+        0.7078,
+        0.7443,
+        0.7261,
+        0.6835,
+        0.7268,
+        0.7664,
+        0.7658,
+        0.7015,
+        0.7169,
+        0.7713,
+        0.7713,
+        0.7876,
+        0.7577,
+        0.7252,
+        0.778,
+        0.7595,
+        0.7809,
+        0.7548,
+        0.7769,
+        0.7671,
+        0.7629,
+        0.7883,
+        0.7916,
+        0.7826,
+        0.8233,
+        0.8234,
+        0.7805,
+        0.8201,
+        0.8201,
+        0.7993,
+        0.8282,
+        0.8048,
+        0.8293,
+        0.8378,
+        0.8387,
+        0.8424,
+        0.8493,
+        0.8397,
+        0.8453,
+        0.8508,
+        0.8514,
+        0.8478,
+        0.8547,
+        0.852,
+        0.857,
+        0.858,
+        0.8598,
+        0.8603,
+        0.859,
+        0.8612,
+        0.862,
+        0.8624,
+        0.8626
+      ],
+      "test_acc": [
+        0.476,
+        0.659,
+        0.709,
+        0.6815,
+        0.6795,
+        0.726,
+        0.7425,
+        0.721,
+        0.7035,
+        0.733,
+        0.5475,
+        0.7095,
+        0.564,
+        0.627,
+        0.7265,
+        0.676,
+        0.607,
+        0.6305,
+        0.6685,
+        0.639,
+        0.4255,
+        0.663,
+        0.6265,
+        0.6955,
+        0.6085,
+        0.5685,
+        0.5145,
+        0.585,
+        0.567,
+        0.507,
+        0.581,
+        0.658,
+        0.6685,
+        0.647,
+        0.5785,
+        0.718,
+        0.69,
+        0.753,
+        0.5325,
+        0.6125,
+        0.632,
+        0.5605,
+        0.6765,
+        0.752,
+        0.645,
+        0.577,
+        0.644,
+        0.711,
+        0.668,
+        0.6685,
+        0.7255,
+        0.7025,
+        0.6725,
+        0.757,
+        0.7645,
+        0.7305,
+        0.8015,
+        0.7245,
+        0.7565,
+        0.7775,
+        0.782,
+        0.77,
+        0.7985,
+        0.7735,
+        0.7885,
+        0.7925,
+        0.7955,
+        0.804,
+        0.8,
+        0.8075,
+        0.81,
+        0.822,
+        0.8155,
+        0.817,
+        0.82,
+        0.8135,
+        0.8165,
+        0.8195,
+        0.822,
+        0.8205
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.03703948110342026,
+        0.2760871648788452,
+        0.18428769707679749,
+        0.1331849992275238,
+        0.09719057381153107,
+        0.1258918195962906,
+        0.0748991146683693,
+        0.08436713367700577,
+        0.09110807627439499,
+        0.10076140612363815,
+        0.06335102021694183,
+        0.08356402069330215
+      ],
+      "perturbation_rho": [
+        0.048133689910173416,
+        0.19754433631896973,
+        0.16992174088954926,
+        0.13566580414772034,
+        0.05106702446937561,
+        0.13118207454681396,
+        0.057789772748947144,
+        0.09156530350446701,
+        0.05846566706895828,
+        0.07805749773979187,
+        0.11393842101097107,
+        0.10566958785057068
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0010935654863715172,
+          -0.0007910718559287488,
+          -0.0005110235651955009,
+          -0.0003657024062704295,
+          -0.0002454574278090149,
+          -0.00031436217250302434,
+          -0.00021353720512706786,
+          -0.00021881572320125997,
+          -0.00025353196542710066,
+          -0.00029741236357949674,
+          -0.00019224401330575347,
+          -0.00023414409952238202
+        ],
+        "0.003": [
+          -0.0032477299682796,
+          -0.0023589283227920532,
+          -0.0015236057806760073,
+          -0.0010900571942329407,
+          -0.0007291981601156294,
+          -0.0009313088376075029,
+          -0.0006336293881759048,
+          -0.0006524997879751027,
+          -0.0007575232302770019,
+          -0.0008877321379259229,
+          -0.0005692495033144951,
+          -0.0006953849224373698
+        ],
+        "0.01": [
+          -0.010506195947527885,
+          -0.007814407348632812,
+          -0.005055932328104973,
+          -0.003603969234973192,
+          -0.0024205115623772144,
+          -0.0030835624784231186,
+          -0.0020989018958061934,
+          -0.002160410862416029,
+          -0.0025065483059734106,
+          -0.0029421483632177114,
+          -0.0018882867880165577,
+          -0.0023007215932011604
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.8810795295715332,
+        1.2361003873825074,
+        1.1001177528381347,
+        1.0620904754638671,
+        0.9923239807128906,
+        1.0118637664794923,
+        1.0294495058059692,
+        1.035706482887268,
+        1.1197983177185058,
+        1.1272871920585632,
+        1.1440982617378235,
+        1.1798527102470397,
+        1.2583636451721192,
+        1.16342516040802,
+        1.1545253436088563,
+        1.1172974102020263,
+        1.105135089302063,
+        1.1267213039398194,
+        1.1039850887298583,
+        1.146181492614746,
+        1.188433178806305,
+        1.133612074279785,
+        1.1646951875686646,
+        1.1493542042732239,
+        1.193199885559082,
+        1.1990179855346679,
+        1.1798026483535766,
+        1.2109940435409545,
+        1.1876913191795349,
+        1.136012986755371,
+        1.0995346645355224,
+        1.1363990716934205,
+        1.0839429043769837,
+        1.036410266494751,
+        1.0403498750686646,
+        1.0100184856414796,
+        1.0011023750305177,
+        1.0164660669326782,
+        1.0148341651916504,
+        0.9997676483154296,
+        1.079225712966919,
+        1.0086151275634765,
+        0.9838174611091614,
+        0.9308564140319824,
+        0.9210850870132447,
+        0.9249866769790649,
+        0.9204979789733887,
+        1.0016128253936767,
+        1.0033588279724122,
+        0.9989631762504577,
+        0.9597750957489014,
+        0.9665767883300781,
+        0.9695200438499451,
+        0.979364437866211,
+        1.0115489553451538,
+        1.044701505279541,
+        1.071289315032959,
+        1.0969339916229248,
+        1.0794300346374512,
+        1.0735850115776062,
+        1.0443150358200073,
+        1.0285705953598023,
+        1.011650534439087,
+        0.9911880954742431,
+        0.9808807865142822,
+        0.9643822746276856,
+        0.9543527652740479,
+        0.9422026905059815,
+        0.9374882905960084,
+        0.9291035015106202,
+        0.9215585130691528,
+        0.9194198372840882,
+        0.9146845828056336,
+        0.9108321361541748,
+        0.908439405822754,
+        0.907101872253418,
+        0.9050157958984375,
+        0.9036195611000061,
+        0.9028717960357666,
+        0.9025129417419434
+      ],
+      "train_acc": [
+        0.3648,
+        0.5616,
+        0.6071,
+        0.6265,
+        0.6596,
+        0.652,
+        0.6486,
+        0.6435,
+        0.6203,
+        0.6245,
+        0.6139,
+        0.6054,
+        0.5993,
+        0.623,
+        0.6222,
+        0.6158,
+        0.6189,
+        0.619,
+        0.6237,
+        0.6187,
+        0.6121,
+        0.6181,
+        0.6077,
+        0.6086,
+        0.6023,
+        0.5997,
+        0.6041,
+        0.6032,
+        0.6095,
+        0.6156,
+        0.6221,
+        0.6192,
+        0.6387,
+        0.6512,
+        0.6428,
+        0.6486,
+        0.6467,
+        0.6543,
+        0.653,
+        0.6532,
+        0.6402,
+        0.6577,
+        0.6606,
+        0.6726,
+        0.6731,
+        0.6733,
+        0.6713,
+        0.6536,
+        0.651,
+        0.6492,
+        0.6701,
+        0.6638,
+        0.6666,
+        0.6661,
+        0.6573,
+        0.6522,
+        0.6453,
+        0.6405,
+        0.6415,
+        0.6428,
+        0.6508,
+        0.6514,
+        0.6577,
+        0.6609,
+        0.6643,
+        0.6653,
+        0.6697,
+        0.6684,
+        0.6709,
+        0.6743,
+        0.6763,
+        0.6755,
+        0.6773,
+        0.6788,
+        0.6761,
+        0.678,
+        0.6792,
+        0.6804,
+        0.6803,
+        0.6802
+      ],
+      "test_acc": [
+        0.5295,
+        0.5775,
+        0.6065,
+        0.6085,
+        0.632,
+        0.625,
+        0.6215,
+        0.583,
+        0.6125,
+        0.6035,
+        0.5775,
+        0.555,
+        0.607,
+        0.589,
+        0.5885,
+        0.601,
+        0.5745,
+        0.581,
+        0.57,
+        0.567,
+        0.5955,
+        0.529,
+        0.582,
+        0.5845,
+        0.5495,
+        0.585,
+        0.556,
+        0.578,
+        0.579,
+        0.5955,
+        0.583,
+        0.6235,
+        0.602,
+        0.609,
+        0.626,
+        0.6245,
+        0.601,
+        0.578,
+        0.6385,
+        0.5785,
+        0.632,
+        0.6265,
+        0.626,
+        0.656,
+        0.648,
+        0.657,
+        0.624,
+        0.618,
+        0.6185,
+        0.6325,
+        0.6345,
+        0.6375,
+        0.6405,
+        0.6395,
+        0.632,
+        0.6215,
+        0.6005,
+        0.6135,
+        0.5985,
+        0.6105,
+        0.615,
+        0.6215,
+        0.6185,
+        0.63,
+        0.6265,
+        0.628,
+        0.629,
+        0.6345,
+        0.6345,
+        0.6415,
+        0.6415,
+        0.6425,
+        0.6395,
+        0.644,
+        0.6475,
+        0.6465,
+        0.644,
+        0.6455,
+        0.645,
+        0.645
+      ],
+      "state_pred_error": [
+        0.6453981456756592,
+        0.23473459401130675,
+        0.22407248733043672,
+        0.22245599946975708,
+        0.21019233787059785,
+        0.18144550337791443,
+        0.17582191152572632,
+        0.17074397916793824,
+        0.1751905428647995,
+        0.1764908756017685,
+        0.1641579815387726,
+        0.15101692166328431,
+        0.14769069714546204,
+        0.14573342962265015,
+        0.14323594300746917,
+        0.1388802298069,
+        0.13048029086589813,
+        0.12313583681583405,
+        0.1169026269197464,
+        0.11280269784927369,
+        0.1114406135559082,
+        0.10753615816831588,
+        0.09873319754600525,
+        0.09379508064985276,
+        0.09320075496435165,
+        0.09452443287372589,
+        0.08613354905843734,
+        0.07822277886867524,
+        0.06739198684692382,
+        0.05750293148756027,
+        0.04770064138174057,
+        0.044405366152524946,
+        0.04118964074850082,
+        0.038421801435947416,
+        0.035279463201761244,
+        0.03239466397762299,
+        0.02980326344370842,
+        0.028275283205509184,
+        0.027806608456373214,
+        0.02775250583291054,
+        0.027604129791259764,
+        0.02825467872619629,
+        0.03000386506319046,
+        0.03052634057998657,
+        0.030324843940138818,
+        0.03044587863087654,
+        0.030369041973352433,
+        0.030169917958974838,
+        0.029345124167203904,
+        0.028020204293727875,
+        0.026755033046007157,
+        0.025642084258794783,
+        0.025034043380618095,
+        0.025460178035497664,
+        0.025847621342539786,
+        0.026586625242233278,
+        0.027172537714242936,
+        0.02762252908349037,
+        0.027387323778867722,
+        0.0279737877368927,
+        0.027401061433553697,
+        0.026677529415488243,
+        0.026780897063016892,
+        0.025761067128181457,
+        0.02527744944691658,
+        0.02493682624697685,
+        0.02452848722934723,
+        0.023785253030061723,
+        0.023475021582841874,
+        0.0230139014005661,
+        0.022756616941094397,
+        0.021971601372957228,
+        0.02164053836464882,
+        0.020801106786727905,
+        0.020165389025211335,
+        0.019814389663934708,
+        0.01931059607863426,
+        0.018816861334443092,
+        0.018472328102588653,
+        0.017988865703344344
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.7252062559127808,
+        0.29899632930755615,
+        0.17116883397102356,
+        0.13035137951374054,
+        0.11515486240386963,
+        0.09652335941791534,
+        0.0831163302063942,
+        0.08587749302387238,
+        0.1138496845960617,
+        0.09370164573192596,
+        0.10970423370599747,
+        0.09861446917057037
+      ],
+      "perturbation_rho": [
+        0.5776556730270386,
+        0.24244043231010437,
+        0.15723995864391327,
+        0.11212021112442017,
+        0.13527166843414307,
+        0.09345141798257828,
+        0.05218992009758949,
+        0.09958191215991974,
+        0.09601333737373352,
+        0.05242425203323364,
+        0.08741243183612823,
+        0.08527539670467377
+      ],
+      "nudging": {
+        "0.001": [
+          -0.01889077201485634,
+          -0.0009189919801428914,
+          -0.0004775590787176043,
+          -0.000345642096363008,
+          -0.0003198374470230192,
+          -0.00027532177045941353,
+          -0.00023964255524333566,
+          -0.00024414859944954515,
+          -0.00032626462052576244,
+          -0.00024727743584662676,
+          -0.0003089705132879317,
+          -0.00028701225528493524
+        ],
+        "0.003": [
+          -0.05585412308573723,
+          -0.0027553164400160313,
+          -0.0014325750526040792,
+          -0.0010372890392318368,
+          -0.0009584734216332436,
+          -0.0008253002306446433,
+          -0.0007186426082625985,
+          -0.0007314274553209543,
+          -0.000978380674496293,
+          -0.0007414872525259852,
+          -0.0009262076346203685,
+          -0.0008607603958807886
+        ],
+        "0.01": [
+          -0.1766481101512909,
+          -0.00916180107742548,
+          -0.004768161568790674,
+          -0.00345130218192935,
+          -0.0031899111345410347,
+          -0.002747050253674388,
+          -0.002392321825027466,
+          -0.0024352066684514284,
+          -0.0032566720619797707,
+          -0.0024684183299541473,
+          -0.003083357820287347,
+          -0.0028652269393205643
+        ]
+      },
+      "state_pred_error_per_layer": [
+        14567.1396484375,
+        8843.26171875,
+        5969.56787109375,
+        5045.4873046875,
+        4699.3388671875,
+        4805.94287109375,
+        4535.58935546875,
+        4793.4423828125,
+        4549.9345703125,
+        4690.251953125,
+        4812.1875,
+        4947.22509765625
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.1223959423065186,
+        1.1308925502777099,
+        0.7801009045600891,
+        0.6729701273918152,
+        0.6086994623184204,
+        0.5650544769287109,
+        0.557174564743042,
+        0.635125132226944,
+        0.6045203336715699,
+        0.6104950213432312,
+        0.6773919567108154,
+        0.634354585647583,
+        0.7008390525817871,
+        0.5426709760665893,
+        0.6239622621536255,
+        0.6713327980041504,
+        0.6004258505821228,
+        0.679081558227539,
+        0.8434337931632996,
+        0.7248663192749023,
+        0.5846601127624512,
+        0.7091362628936767,
+        0.7446982576370239,
+        0.781251979637146,
+        0.803330804347992,
+        0.7121967086791993,
+        0.6684488694190979,
+        0.8766575017929077,
+        0.9210894750595093,
+        0.82434025888443,
+        0.837844763469696,
+        0.80740807056427,
+        0.9366403986930847,
+        0.9515004661560058,
+        1.1598037229537963,
+        1.10346333694458,
+        1.1477074918746948,
+        1.3325309940338135,
+        1.7308238342285156,
+        1.2630112736701966,
+        1.162735636138916,
+        1.4247036094665528,
+        1.7260048475265504,
+        1.7118493715286256,
+        1.648465139770508,
+        1.5406495670318603,
+        1.438048271369934,
+        1.336459242248535,
+        1.3360411096572875,
+        1.3773949566841126,
+        1.27808166847229,
+        1.2043107717514039,
+        1.3566615823745727,
+        1.2266771377563477,
+        1.2032874032974243,
+        1.3345542625427247,
+        1.277489598464966,
+        1.2574082427978515,
+        1.3388423186302185,
+        1.317376096725464,
+        1.3218458183288575,
+        1.3416841665267945,
+        1.313708076095581,
+        1.3063379524230958,
+        1.324901369857788,
+        1.3095571729660034,
+        1.3367181018829346,
+        1.3342665132522582,
+        1.3231969213485717,
+        1.2999568965911865,
+        1.2956551901817321,
+        1.283503600692749,
+        1.282581994819641,
+        1.2756302757263183,
+        1.2712590478897094,
+        1.2688031791687011,
+        1.2658842399597168,
+        1.2636978759765625,
+        1.2609567411422729,
+        1.2598623921394347
+      ],
+      "train_acc": [
+        0.2364,
+        0.5948,
+        0.7131,
+        0.7478,
+        0.7703,
+        0.7889,
+        0.7914,
+        0.7656,
+        0.7862,
+        0.7757,
+        0.7658,
+        0.7746,
+        0.748,
+        0.7989,
+        0.7753,
+        0.7604,
+        0.7796,
+        0.7569,
+        0.7207,
+        0.7579,
+        0.7832,
+        0.7498,
+        0.7331,
+        0.7337,
+        0.7258,
+        0.755,
+        0.7684,
+        0.7433,
+        0.7383,
+        0.7477,
+        0.747,
+        0.7533,
+        0.7224,
+        0.7082,
+        0.6644,
+        0.6817,
+        0.6672,
+        0.6219,
+        0.5687,
+        0.6204,
+        0.6338,
+        0.6038,
+        0.5568,
+        0.5556,
+        0.557,
+        0.5713,
+        0.5855,
+        0.5923,
+        0.5942,
+        0.5825,
+        0.5996,
+        0.61,
+        0.5866,
+        0.6144,
+        0.6164,
+        0.5915,
+        0.6046,
+        0.6063,
+        0.5949,
+        0.5979,
+        0.5971,
+        0.5942,
+        0.5962,
+        0.5992,
+        0.5918,
+        0.5979,
+        0.5926,
+        0.5951,
+        0.5954,
+        0.5958,
+        0.6024,
+        0.6052,
+        0.6038,
+        0.6006,
+        0.6055,
+        0.6049,
+        0.6047,
+        0.6063,
+        0.6086,
+        0.6089
+      ],
+      "test_acc": [
+        0.48,
+        0.644,
+        0.7065,
+        0.733,
+        0.7315,
+        0.7055,
+        0.7035,
+        0.67,
+        0.695,
+        0.669,
+        0.708,
+        0.6635,
+        0.678,
+        0.6665,
+        0.554,
+        0.6675,
+        0.653,
+        0.637,
+        0.569,
+        0.647,
+        0.5995,
+        0.702,
+        0.5415,
+        0.6205,
+        0.6875,
+        0.633,
+        0.6135,
+        0.6145,
+        0.6435,
+        0.706,
+        0.6325,
+        0.5855,
+        0.633,
+        0.525,
+        0.588,
+        0.668,
+        0.6115,
+        0.453,
+        0.502,
+        0.586,
+        0.6,
+        0.494,
+        0.5125,
+        0.445,
+        0.5215,
+        0.5165,
+        0.535,
+        0.5235,
+        0.485,
+        0.514,
+        0.571,
+        0.5115,
+        0.5405,
+        0.5585,
+        0.488,
+        0.5775,
+        0.5685,
+        0.5465,
+        0.558,
+        0.5425,
+        0.5335,
+        0.55,
+        0.5565,
+        0.5345,
+        0.5465,
+        0.555,
+        0.565,
+        0.562,
+        0.5535,
+        0.555,
+        0.5625,
+        0.5585,
+        0.5685,
+        0.5595,
+        0.564,
+        0.5655,
+        0.5645,
+        0.569,
+        0.5645,
+        0.5665
+      ],
+      "value_loss": [
+        2.7805515005111694,
+        1.081686860370636,
+        0.797205941772461,
+        0.6986260824680328,
+        0.7140384963989258,
+        0.676977529335022,
+        0.6860679067611695,
+        1.0100212257385255,
+        1.0003583810806274,
+        0.8196450786590577,
+        1.0773170350074768,
+        0.9696109293460846,
+        1.0457900135040283,
+        0.7022124642372132,
+        0.8929926084518433,
+        0.9564439485549927,
+        0.7808498700141907,
+        0.9953287747383117,
+        1.468350359916687,
+        1.2638125471115111,
+        0.83949560546875,
+        1.2727160860061646,
+        1.3841882694244385,
+        1.678631261253357,
+        1.725769453048706,
+        1.5402052530288697,
+        1.2585258999824525,
+        2.0741510969161987,
+        2.4101175380706787,
+        1.948118208217621,
+        2.2736195261001586,
+        1.8106961948394775,
+        2.211885329437256,
+        2.1651109546661376,
+        2.5323298233032228,
+        2.1501616649627686,
+        2.2966494682312013,
+        3.1301290969848634,
+        4.273359652328491,
+        2.197300305747986,
+        1.5282178970336915,
+        2.6804796546936034,
+        3.514599729347229,
+        3.5422376876831057,
+        2.5286996788024902,
+        1.9258211517333985,
+        1.815034661102295,
+        1.506567113494873,
+        1.5045080892562865,
+        1.7108898855209351,
+        1.241757023048401,
+        1.2125720126152038,
+        1.3929070613861083,
+        1.1463023363113403,
+        1.1142121349334717,
+        1.332335331916809,
+        1.1768944136142732,
+        1.1620534097671509,
+        1.298662633562088,
+        1.1294718536376953,
+        1.1261915169715881,
+        1.122890726852417,
+        1.1405691360473633,
+        1.0319907926559448,
+        1.0340288082122804,
+        0.9726796591758728,
+        1.0593993881225585,
+        1.050448949432373,
+        1.100425945854187,
+        1.0933582187652588,
+        0.8975212239265442,
+        0.8938636081695557,
+        0.9166557600021362,
+        0.977439419555664,
+        0.8397266407966614,
+        0.8533422320365905,
+        0.874716013431549,
+        0.8575616405487061,
+        0.838136801624298,
+        0.8463798692464829
+      ],
+      "term_loss": [
+        1.6485074674129485,
+        0.8297072814941406,
+        0.634693399810791,
+        0.5434339653253555,
+        0.5507466105461121,
+        0.5207709157943725,
+        0.5341971765518189,
+        0.846416844177246,
+        0.841112010717392,
+        0.6564387054443359,
+        0.9049889453649521,
+        0.798225192284584,
+        0.8605166847705841,
+        0.5482600785255433,
+        0.7241384846687317,
+        0.7684001558303833,
+        0.6070996345996856,
+        0.7962655972480774,
+        1.2140521295547486,
+        0.9860176255226135,
+        0.608419938647747,
+        0.9112939659118653,
+        0.9734650965690613,
+        1.2297438148498536,
+        1.299837247133255,
+        1.1938978694915772,
+        0.9857995202064515,
+        1.69483338432312,
+        1.9083918838500977,
+        1.6175825427293777,
+        1.9212311550140382,
+        1.5342649998188018,
+        1.8532086339950562,
+        1.8259620584487914,
+        2.1624345304489134,
+        1.806892790031433,
+        1.8902231861114502,
+        2.5273943916320802,
+        3.5992365367889403,
+        1.7663538317680358,
+        1.1680109001159669,
+        2.154721879196167,
+        2.983940335559845,
+        2.932674698829651,
+        2.0614490547180178,
+        1.522164292526245,
+        1.4121819274902343,
+        1.1339237529754638,
+        1.1243637654304504,
+        1.3226550352573394,
+        0.8877180952310562,
+        0.8467551987171174,
+        1.0091370786666871,
+        0.7961967350006104,
+        0.7717182033538819,
+        0.9400051207065582,
+        0.8129089121699333,
+        0.7943745586633683,
+        0.9124063068151474,
+        0.7582885841369629,
+        0.757268895816803,
+        0.7520805835723877,
+        0.7614981719970703,
+        0.672174573135376,
+        0.664697764635086,
+        0.6174597493886947,
+        0.6784869749546051,
+        0.6815483723163605,
+        0.7197177550315857,
+        0.7082983478546142,
+        0.5514742812633514,
+        0.5509846379041672,
+        0.5635691103935242,
+        0.6054943891525268,
+        0.5014636739730834,
+        0.5115930925846099,
+        0.5238163274765014,
+        0.5094047106742859,
+        0.4961314143180847,
+        0.5014169258773327
+      ],
+      "bridge_loss": [
+        0.8486444220311474,
+        0.057455028840899466,
+        0.00647345672249794,
+        0.010065643244981765,
+        0.026260024583339692,
+        0.02356478395164013,
+        0.01767999943345785,
+        0.011712782212346793,
+        0.01253184175491333,
+        0.00921778129786253,
+        0.007642647423967719,
+        0.008494817974418402,
+        0.0081177446693182,
+        0.007718402835354209,
+        0.0076394867897033696,
+        0.009256541520357132,
+        0.009772012880444526,
+        0.01316194803416729,
+        0.03859584418535233,
+        0.08582426563501358,
+        0.0680036034822464,
+        0.16674192352294923,
+        0.2082908762693405,
+        0.23976570377349854,
+        0.2108058066368103,
+        0.15342824853658676,
+        0.09269820539355278,
+        0.1716358684539795,
+        0.2829114284992218,
+        0.11972570022344589,
+        0.14527669587135314,
+        0.07409173301458359,
+        0.13836023993194102,
+        0.1047233594417572,
+        0.10239493898153305,
+        0.08479896945953369,
+        0.14000908613204957,
+        0.30332467155456544,
+        0.31832720917463303,
+        0.13028690763115883,
+        0.06915579251646996,
+        0.2068889322757721,
+        0.1689413583636284,
+        0.2432434256672859,
+        0.10945895296931267,
+        0.058291493260860444,
+        0.0695342747092247,
+        0.051727681058645246,
+        0.05560128738582134,
+        0.06204493397176266,
+        0.04303289123028517,
+        0.06258053659200669,
+        0.06440504032969475,
+        0.049851995158195495,
+        0.04215986429452896,
+        0.0714924750328064,
+        0.05100864072740078,
+        0.056615071886777876,
+        0.06172715484499931,
+        0.05179036730527878,
+        0.04902632168531418,
+        0.04722833627164364,
+        0.05790429630279541,
+        0.04115619099140167,
+        0.047522115555405614,
+        0.03584751927256584,
+        0.059197174768149854,
+        0.04522456908226013,
+        0.0625448987364769,
+        0.06798982162475586,
+        0.03050621822923422,
+        0.030018169784545898,
+        0.03876454293727875,
+        0.058579221987724306,
+        0.026292440569400787,
+        0.030662278072535992,
+        0.03989438471794128,
+        0.03742715321779251,
+        0.031834218949079514,
+        0.03549532132707536
+      ],
+      "tgrad_loss": [
+        0.2833996032714844,
+        0.19452454969882965,
+        0.15603908603191377,
+        0.14512648067474365,
+        0.13703186490535735,
+        0.1326418347477913,
+        0.1341907325744629,
+        0.1518915962100029,
+        0.14671453332901002,
+        0.15398859734535217,
+        0.16468544862270354,
+        0.16289091897010805,
+        0.17715558688640595,
+        0.14623399047851562,
+        0.16121463856697082,
+        0.17878725657463074,
+        0.16397822947502136,
+        0.18590123443603515,
+        0.2157023815393448,
+        0.19197065043449402,
+        0.16307206680774688,
+        0.19468018741607665,
+        0.20243228673934938,
+        0.20912174048423768,
+        0.21512638583183288,
+        0.192879146194458,
+        0.18002817583084108,
+        0.20768185408115386,
+        0.21881421895027162,
+        0.2108099551796913,
+        0.20711168808937072,
+        0.20233947868347169,
+        0.2203164538860321,
+        0.2344255461215973,
+        0.26750037670135496,
+        0.2584699326515198,
+        0.2664172016143799,
+        0.2994100332260132,
+        0.355795917224884,
+        0.3006595685005188,
+        0.29105121412277224,
+        0.3188688861846924,
+        0.36171807627677915,
+        0.36631957635879514,
+        0.3577916645050049,
+        0.34536534185409545,
+        0.3333184560775757,
+        0.3209156816482544,
+        0.3245430320739746,
+        0.32618993062973023,
+        0.31100603489875794,
+        0.30323628644943235,
+        0.31936494970321655,
+        0.30025360336303714,
+        0.300334077167511,
+        0.32083772625923157,
+        0.31297685990333557,
+        0.31106378889083863,
+        0.32452915863990783,
+        0.3193928955078125,
+        0.31989630165100097,
+        0.3235818109035492,
+        0.3211666654109955,
+        0.31866003241539004,
+        0.3218089293956757,
+        0.3193724016189575,
+        0.3217152436733246,
+        0.3236760053157806,
+        0.31816329843997954,
+        0.31707005248069764,
+        0.3155407253742218,
+        0.3128608033657074,
+        0.3143221000671387,
+        0.31336581163406374,
+        0.3119705219507217,
+        0.3110868597269058,
+        0.3110053087234497,
+        0.3107297755241394,
+        0.3101711611270905,
+        0.3094676312446594
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.0279831662774086,
+        0.034206733107566833,
+        0.06341560930013657,
+        0.0695083886384964,
+        0.09047738462686539,
+        0.09644618630409241,
+        0.1011449545621872,
+        0.09714356064796448,
+        0.09739723801612854,
+        0.09588810801506042,
+        0.09328337758779526,
+        0.08733686059713364
+      ],
+      "perturbation_rho": [
+        -0.01078212633728981,
+        0.08389643579721451,
+        0.09591226279735565,
+        0.09822964668273926,
+        0.15539337694644928,
+        0.077084481716156,
+        0.18135306239128113,
+        0.13923753798007965,
+        0.15523496270179749,
+        0.1566530466079712,
+        0.16011789441108704,
+        0.12478099763393402
+      ],
+      "nudging": {
+        "0.001": [
+          -0.001502810511738062,
+          -0.00035649939673021436,
+          -0.0005188342183828354,
+          -0.0005870601162314415,
+          -0.0007064240635372698,
+          -0.0007271112990565598,
+          -0.000728512299247086,
+          -0.0007376023568212986,
+          -0.0007232739008031785,
+          -0.0007425217772834003,
+          -0.0007311765220947564,
+          -0.000725812220480293
+        ],
+        "0.003": [
+          -0.004485548473894596,
+          -0.001071919221431017,
+          -0.0015602593775838614,
+          -0.0017638156423345208,
+          -0.0021236937027424574,
+          -0.0021875915117561817,
+          -0.002183424076065421,
+          -0.002218396170064807,
+          -0.0021718533243983984,
+          -0.0022269198670983315,
+          -0.0021976742427796125,
+          -0.0021777376532554626
+        ],
+        "0.01": [
+          -0.014675050042569637,
+          -0.0035726604983210564,
+          -0.005193591117858887,
+          -0.005878218449652195,
+          -0.007073326967656612,
+          -0.007276617921888828,
+          -0.0072667524218559265,
+          -0.007385652512311935,
+          -0.00723686721175909,
+          -0.007413622923195362,
+          -0.0073149921372532845,
+          -0.007252625189721584
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L2_s123.json b/results/synth_ladder_v2_lo/synth_a0.25_L2_s123.json
new file mode 100644
index 0000000..bdb0570
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L2_s123.json
@@ -0,0 +1,1512 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.7654977563858032,
+        0.8444957286834717,
+        0.4950144814491272,
+        0.36671135663986204,
+        0.321284081697464,
+        0.27993531551361084,
+        0.27256134262084963,
+        0.24975784158706665,
+        0.23994892349243163,
+        0.24492980494499206,
+        0.22574045833349227,
+        0.20097337501049042,
+        0.1994509120464325,
+        0.20277229657173157,
+        0.18468337926864625,
+        0.18727314873933792,
+        0.1769370955467224,
+        0.1838186579465866,
+        0.17439295463562013,
+        0.17294140467643737,
+        0.1822731651544571,
+        0.17028081703186035,
+        0.1692028619647026,
+        0.15768814945220946,
+        0.14810290710926055,
+        0.14752176475524903,
+        0.16309453177452088,
+        0.15764646480083466,
+        0.14147279624938966,
+        0.14498449137210845,
+        0.1356404733657837,
+        0.14475175623893738,
+        0.13740543792247772,
+        0.13167994917631148,
+        0.12572967143058777,
+        0.12563280085921288,
+        0.11893130984306335,
+        0.11800628488063812,
+        0.11565658164024353,
+        0.11688636230826378,
+        0.11060135436058044,
+        0.11006813128590584,
+        0.1071192905664444,
+        0.10655531152486801,
+        0.10557044495344162,
+        0.10469848154783248,
+        0.10152105563879013,
+        0.10145853953361511,
+        0.09961113617420196,
+        0.09860005731582641,
+        0.10467973436117173,
+        0.09797345906496048,
+        0.09573235869407654,
+        0.09314765231609344,
+        0.09170019273757934,
+        0.09269226717948914,
+        0.09341713771820068,
+        0.09100220992565156,
+        0.08908436529636383,
+        0.08798767466545104,
+        0.08603315978050231,
+        0.0854144489645958,
+        0.08496862246394157,
+        0.08380987513065338,
+        0.08267026079893113,
+        0.08210583221912383,
+        0.08188264560699463,
+        0.08136292295455932,
+        0.08069994529485702,
+        0.08029244214296341,
+        0.07990814363956451,
+        0.07976104700565338,
+        0.07939706645011901,
+        0.07912448803782463,
+        0.07889298883974552,
+        0.07872593634724617,
+        0.0785790141582489,
+        0.07847202535867691,
+        0.0784075082063675,
+        0.07836773316860199
+      ],
+      "train_acc": [
+        0.4156,
+        0.7664,
+        0.8679,
+        0.9013,
+        0.8997,
+        0.9114,
+        0.9042,
+        0.9112,
+        0.9163,
+        0.9084,
+        0.9186,
+        0.9294,
+        0.9276,
+        0.9251,
+        0.9345,
+        0.9343,
+        0.9347,
+        0.9319,
+        0.9369,
+        0.9368,
+        0.9337,
+        0.9361,
+        0.9391,
+        0.9422,
+        0.9495,
+        0.9487,
+        0.9383,
+        0.9407,
+        0.952,
+        0.9466,
+        0.953,
+        0.9474,
+        0.9502,
+        0.955,
+        0.9573,
+        0.9575,
+        0.9618,
+        0.9616,
+        0.9634,
+        0.9615,
+        0.9654,
+        0.9661,
+        0.9677,
+        0.9684,
+        0.9667,
+        0.9687,
+        0.9705,
+        0.9684,
+        0.9714,
+        0.9719,
+        0.9662,
+        0.9719,
+        0.9735,
+        0.9758,
+        0.9764,
+        0.9766,
+        0.9741,
+        0.9774,
+        0.9768,
+        0.9778,
+        0.9801,
+        0.9801,
+        0.9817,
+        0.9811,
+        0.9818,
+        0.9825,
+        0.9823,
+        0.9825,
+        0.9838,
+        0.9833,
+        0.9839,
+        0.9844,
+        0.9845,
+        0.9845,
+        0.9849,
+        0.9848,
+        0.9852,
+        0.9853,
+        0.9853,
+        0.9853
+      ],
+      "test_acc": [
+        0.656,
+        0.838,
+        0.867,
+        0.8815,
+        0.886,
+        0.8975,
+        0.9005,
+        0.895,
+        0.901,
+        0.8945,
+        0.895,
+        0.9035,
+        0.9005,
+        0.901,
+        0.9045,
+        0.909,
+        0.904,
+        0.898,
+        0.906,
+        0.908,
+        0.9085,
+        0.912,
+        0.904,
+        0.9015,
+        0.904,
+        0.9075,
+        0.912,
+        0.9105,
+        0.9135,
+        0.911,
+        0.9175,
+        0.913,
+        0.913,
+        0.9165,
+        0.916,
+        0.9145,
+        0.912,
+        0.9135,
+        0.9165,
+        0.919,
+        0.9185,
+        0.9205,
+        0.916,
+        0.916,
+        0.9175,
+        0.9155,
+        0.9175,
+        0.9155,
+        0.9165,
+        0.9155,
+        0.913,
+        0.9145,
+        0.9165,
+        0.9165,
+        0.9185,
+        0.9195,
+        0.915,
+        0.92,
+        0.922,
+        0.9225,
+        0.919,
+        0.922,
+        0.919,
+        0.921,
+        0.923,
+        0.9195,
+        0.9205,
+        0.921,
+        0.92,
+        0.921,
+        0.921,
+        0.92,
+        0.9195,
+        0.921,
+        0.9205,
+        0.92,
+        0.92,
+        0.92,
+        0.92,
+        0.92
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8569881916046143,
+        0.8500438928604126
+      ],
+      "perturbation_rho": [
+        0.9999989867210388,
+        0.9999954700469971
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02136343903839588,
+          -0.007668375503271818
+        ],
+        "0.003": [
+          -0.05757742375135422,
+          -0.022186852991580963
+        ],
+        "0.01": [
+          -0.13159069418907166,
+          -0.06504300236701965
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.222045899963379,
+        1.5443243183135986,
+        0.9165551806926727,
+        0.6182797731399536,
+        0.4814643452644348,
+        0.4080216860771179,
+        0.3821046540737152,
+        0.3557525873661041,
+        0.3617426670074463,
+        0.3635426070213318,
+        0.3631010500907898,
+        0.3817070824146271,
+        0.3703360957622528,
+        0.4017043243922293,
+        0.36939922463893893,
+        0.3809434096813202,
+        0.37349798345565793,
+        0.4216185576438904,
+        0.37035776710510254,
+        0.4096152338027954,
+        0.44324955769777297,
+        0.37625437016487123,
+        0.41346786515712736,
+        0.38239140539169314,
+        0.43430486598014834,
+        0.4266927839279175,
+        0.47304191370010373,
+        0.42663185768127443,
+        0.3726616260290146,
+        0.39664573118686675,
+        0.4000628391265869,
+        0.3725332321166992,
+        0.4474667528867722,
+        0.3764329075098038,
+        0.39272863276004794,
+        0.3961232415050268,
+        0.35540812203884126,
+        0.3754589093208313,
+        0.3967381541252136,
+        0.37234801816940305,
+        0.38604524369239807,
+        0.38428880689144135,
+        0.3889479875087738,
+        0.39900728015899656,
+        0.3657263102054596,
+        0.3451460936665535,
+        0.3340610753059387,
+        0.3457312560558319,
+        0.3312659737110138,
+        0.3334344934463501,
+        0.34277497341632845,
+        0.3261671709060669,
+        0.33543690328598025,
+        0.32464828124046324,
+        0.327925772857666,
+        0.31421077461242675,
+        0.3448867746353149,
+        0.3114112159252167,
+        0.31121128454208374,
+        0.31479848520755765,
+        0.3050527681350708,
+        0.3033456075429916,
+        0.29738776047229765,
+        0.29894379968643187,
+        0.2957280710220337,
+        0.29328098392486573,
+        0.29249357726573944,
+        0.2907493370056152,
+        0.2953320168852806,
+        0.2873753551006317,
+        0.2861742950439453,
+        0.2886102059006691,
+        0.2845136415481567,
+        0.2840243721663952,
+        0.2817679080247879,
+        0.2821083644628525,
+        0.2808473236083984,
+        0.2805542977809906,
+        0.28007913836240766,
+        0.2798538848757744
+      ],
+      "train_acc": [
+        0.1881,
+        0.4863,
+        0.6985,
+        0.7856,
+        0.8266,
+        0.8435,
+        0.8497,
+        0.861,
+        0.8595,
+        0.8635,
+        0.8666,
+        0.8594,
+        0.8676,
+        0.8577,
+        0.8692,
+        0.8668,
+        0.8652,
+        0.8583,
+        0.8715,
+        0.8657,
+        0.8559,
+        0.8734,
+        0.8662,
+        0.8726,
+        0.8565,
+        0.8585,
+        0.8527,
+        0.8631,
+        0.874,
+        0.8676,
+        0.8678,
+        0.8728,
+        0.8577,
+        0.8711,
+        0.8713,
+        0.8663,
+        0.8801,
+        0.8751,
+        0.8667,
+        0.8762,
+        0.8731,
+        0.8725,
+        0.8721,
+        0.8695,
+        0.8727,
+        0.8817,
+        0.8837,
+        0.8817,
+        0.886,
+        0.8858,
+        0.8819,
+        0.8876,
+        0.8819,
+        0.8835,
+        0.8853,
+        0.8891,
+        0.8824,
+        0.8891,
+        0.8926,
+        0.8861,
+        0.8912,
+        0.8907,
+        0.8944,
+        0.8937,
+        0.8928,
+        0.8946,
+        0.8933,
+        0.895,
+        0.8922,
+        0.8964,
+        0.8952,
+        0.8949,
+        0.8961,
+        0.8957,
+        0.8982,
+        0.8974,
+        0.898,
+        0.8973,
+        0.8976,
+        0.8975
+      ],
+      "test_acc": [
+        0.3455,
+        0.586,
+        0.718,
+        0.775,
+        0.8005,
+        0.8085,
+        0.831,
+        0.832,
+        0.8335,
+        0.8355,
+        0.8275,
+        0.8195,
+        0.8265,
+        0.837,
+        0.8305,
+        0.8365,
+        0.8095,
+        0.8405,
+        0.8095,
+        0.8065,
+        0.8115,
+        0.826,
+        0.816,
+        0.8145,
+        0.822,
+        0.8205,
+        0.799,
+        0.837,
+        0.814,
+        0.8285,
+        0.8325,
+        0.826,
+        0.813,
+        0.824,
+        0.8335,
+        0.827,
+        0.8205,
+        0.8235,
+        0.817,
+        0.8355,
+        0.823,
+        0.802,
+        0.8055,
+        0.832,
+        0.8375,
+        0.85,
+        0.8365,
+        0.834,
+        0.8335,
+        0.8435,
+        0.8335,
+        0.8365,
+        0.838,
+        0.833,
+        0.832,
+        0.824,
+        0.833,
+        0.854,
+        0.8455,
+        0.8455,
+        0.852,
+        0.8435,
+        0.848,
+        0.848,
+        0.8525,
+        0.8485,
+        0.851,
+        0.8535,
+        0.853,
+        0.848,
+        0.852,
+        0.849,
+        0.8485,
+        0.8525,
+        0.8525,
+        0.8525,
+        0.8555,
+        0.852,
+        0.8525,
+        0.853
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.05345926433801651,
+        0.1220134049654007
+      ],
+      "perturbation_rho": [
+        0.09254007041454315,
+        0.03279075771570206
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0014900758396834135,
+          -0.00040765886660665274
+        ],
+        "0.003": [
+          -0.0044248285703361034,
+          -0.0012199780903756618
+        ],
+        "0.01": [
+          -0.0142319705337286,
+          -0.004036533646285534
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        2.035307823371887,
+        1.0818795654296876,
+        0.5848175754547119,
+        0.4178084654331207,
+        0.36943293256759646,
+        0.36182685775756834,
+        0.36377423672676085,
+        0.3638772452354431,
+        0.36289256069660186,
+        0.35803506598472595,
+        0.3521030779838562,
+        0.36004641103744506,
+        0.3508536817073822,
+        0.3523506750106811,
+        0.37145801367759707,
+        0.35224308915138247,
+        0.35803700803518296,
+        0.35305213971138,
+        0.3651015239715576,
+        0.3836041011810303,
+        0.3781185965538025,
+        0.38939061965942384,
+        0.42120680956840517,
+        0.40723042488098143,
+        0.4526292643547058,
+        0.40323816947937013,
+        0.415028613948822,
+        0.41594237394332884,
+        0.40914614896774293,
+        0.40614798660278323,
+        0.39321772956848144,
+        0.38597395792007444,
+        0.4012366283416748,
+        0.39515967016220094,
+        0.3989246150016785,
+        0.40142448501586914,
+        0.37222539920806885,
+        0.3748494933605194,
+        0.38571743087768556,
+        0.3823385854721069,
+        0.3849996451854706,
+        0.37309266843795774,
+        0.3707266288280487,
+        0.3709278034210205,
+        0.37044406490325926,
+        0.3628380756378174,
+        0.36986831691265104,
+        0.35957499681711197,
+        0.3573640037059784,
+        0.37129577651023865,
+        0.35399168338775633,
+        0.3636847696185112,
+        0.35051158096790314,
+        0.3494784439086914,
+        0.3490269979476929,
+        0.34427729971408844,
+        0.34917515044212344,
+        0.34596708917617797,
+        0.3457959949493408,
+        0.3382417812347412,
+        0.3398675190448761,
+        0.33830025720596313,
+        0.3366756670475006,
+        0.3361509337425232,
+        0.3335879071235657,
+        0.3334713472366333,
+        0.3317858941078186,
+        0.33048621253967286,
+        0.33019430565834046,
+        0.3285010213851929,
+        0.32787752251625063,
+        0.32666881173849105,
+        0.32629875988960266,
+        0.3255439553260803,
+        0.3254732527732849,
+        0.3248609799385071,
+        0.32443962535858156,
+        0.3241093095779419,
+        0.32383085441589354,
+        0.32369576120376586
+      ],
+      "train_acc": [
+        0.2759,
+        0.6504,
+        0.8027,
+        0.8556,
+        0.8617,
+        0.8633,
+        0.8603,
+        0.8608,
+        0.8597,
+        0.8664,
+        0.8637,
+        0.8641,
+        0.8664,
+        0.8655,
+        0.86,
+        0.8672,
+        0.869,
+        0.8672,
+        0.8576,
+        0.8559,
+        0.859,
+        0.8534,
+        0.8441,
+        0.8506,
+        0.8305,
+        0.8495,
+        0.8446,
+        0.8438,
+        0.8428,
+        0.8449,
+        0.8507,
+        0.8543,
+        0.8483,
+        0.8496,
+        0.8506,
+        0.8483,
+        0.862,
+        0.8558,
+        0.8543,
+        0.8589,
+        0.8602,
+        0.8607,
+        0.8587,
+        0.8633,
+        0.8606,
+        0.8659,
+        0.8625,
+        0.8659,
+        0.8671,
+        0.8616,
+        0.8693,
+        0.8661,
+        0.8696,
+        0.8722,
+        0.8714,
+        0.8728,
+        0.8713,
+        0.8736,
+        0.8725,
+        0.875,
+        0.8738,
+        0.8752,
+        0.8753,
+        0.874,
+        0.8781,
+        0.8763,
+        0.8786,
+        0.8772,
+        0.878,
+        0.8784,
+        0.879,
+        0.8797,
+        0.8798,
+        0.8799,
+        0.8798,
+        0.8801,
+        0.8797,
+        0.8801,
+        0.8813,
+        0.8813
+      ],
+      "test_acc": [
+        0.503,
+        0.72,
+        0.7965,
+        0.826,
+        0.8265,
+        0.8335,
+        0.8295,
+        0.8315,
+        0.8315,
+        0.8335,
+        0.823,
+        0.823,
+        0.831,
+        0.826,
+        0.8215,
+        0.8205,
+        0.828,
+        0.8215,
+        0.814,
+        0.8145,
+        0.817,
+        0.812,
+        0.806,
+        0.788,
+        0.8175,
+        0.8145,
+        0.808,
+        0.793,
+        0.8065,
+        0.7955,
+        0.807,
+        0.812,
+        0.816,
+        0.8215,
+        0.8125,
+        0.8175,
+        0.821,
+        0.803,
+        0.8285,
+        0.8265,
+        0.83,
+        0.8215,
+        0.824,
+        0.8185,
+        0.83,
+        0.834,
+        0.832,
+        0.837,
+        0.8375,
+        0.8295,
+        0.829,
+        0.82,
+        0.825,
+        0.831,
+        0.8365,
+        0.8315,
+        0.8395,
+        0.834,
+        0.83,
+        0.831,
+        0.841,
+        0.839,
+        0.831,
+        0.838,
+        0.8335,
+        0.835,
+        0.8365,
+        0.831,
+        0.8385,
+        0.832,
+        0.835,
+        0.8365,
+        0.8335,
+        0.8325,
+        0.8335,
+        0.836,
+        0.8345,
+        0.834,
+        0.834,
+        0.834
+      ],
+      "state_pred_error": [
+        0.7997600481987,
+        0.3437161437034607,
+        0.2014044310092926,
+        0.16714438018798827,
+        0.15179780702590942,
+        0.13224747791290284,
+        0.11098563377857208,
+        0.0916959712266922,
+        0.07569896295070648,
+        0.061903948831558225,
+        0.05011345111131668,
+        0.04207257339954376,
+        0.0351084869146347,
+        0.030359905037283898,
+        0.026254229775071143,
+        0.02318112598657608,
+        0.021127575582265853,
+        0.018682509154081345,
+        0.017222601471841334,
+        0.016082065165042878,
+        0.014975263381004333,
+        0.014202502882480622,
+        0.014144844499230385,
+        0.01311485079973936,
+        0.012837442517280579,
+        0.012465586432814597,
+        0.012172201824188232,
+        0.01132886090874672,
+        0.011098468725383281,
+        0.010547183714807033,
+        0.009977656623721123,
+        0.009493274948000908,
+        0.009209013964235782,
+        0.008924346220493316,
+        0.008761503490805626,
+        0.00834588114619255,
+        0.008196133199334144,
+        0.008180657398700714,
+        0.007771395539492369,
+        0.007566665153205395,
+        0.007358304584771395,
+        0.007139906688034534,
+        0.007039350777864456,
+        0.007165508459508419,
+        0.006619077945500612,
+        0.006377335331588983,
+        0.0062913012474775315,
+        0.006098052710294724,
+        0.006248931968957185,
+        0.005887588227540255,
+        0.005769434168934822,
+        0.005733849746733904,
+        0.005528700548410415,
+        0.005712412436306476,
+        0.005568497113138437,
+        0.005270802947878838,
+        0.005042337468266487,
+        0.0052765426017344,
+        0.004908596959710122,
+        0.005113466054946184,
+        0.004858688966929913,
+        0.004781623714789748,
+        0.004587523357570171,
+        0.004601859824359417,
+        0.004504906559363008,
+        0.0047202605225145815,
+        0.004451583327353001,
+        0.004443144879117608,
+        0.004247794686257839,
+        0.004191487204283476,
+        0.004164984770864248,
+        0.004182276912778616,
+        0.00406104885712266,
+        0.004042744146287441,
+        0.004139866654574871,
+        0.003951248052343726,
+        0.003766103806346655,
+        0.0038973809622228146,
+        0.004124714520573616,
+        0.003765122526139021
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9177796840667725,
+        0.47225815057754517
+      ],
+      "perturbation_rho": [
+        0.7912815809249878,
+        0.3786163330078125
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02343657612800598,
+          -0.0025146803818643093
+        ],
+        "0.003": [
+          -0.06697157770395279,
+          -0.0075065759010612965
+        ],
+        "0.01": [
+          -0.187799870967865,
+          -0.02459421567618847
+        ]
+      },
+      "state_pred_error_per_layer": [
+        654.3871459960938,
+        278.6759338378906
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2231978775024412,
+        1.5435144302368164,
+        0.9255192138671875,
+        0.6231668456077576,
+        0.47682934741973876,
+        0.41253710989952086,
+        0.38058802461624147,
+        0.3612384679555893,
+        0.3502673017501831,
+        0.3541757307052612,
+        0.36556007900238036,
+        0.3836657918453217,
+        0.3598676048755646,
+        0.3682255392074585,
+        0.3784599184989929,
+        0.4032455762863159,
+        0.3752034682035446,
+        0.395582155418396,
+        0.42088637284040453,
+        0.4353969056129456,
+        0.49382096910476686,
+        0.46568728313446045,
+        0.4780210087776184,
+        0.5099774327039719,
+        0.5591948669433594,
+        0.5902343495845794,
+        0.6529199718952179,
+        0.6656437032699585,
+        0.667899845123291,
+        0.7424959661483764,
+        0.796056184387207,
+        0.814354309463501,
+        0.8498922292709351,
+        0.9181127500534058,
+        0.8227109302520752,
+        0.8799352335929871,
+        0.9216915922164917,
+        0.9162841287612915,
+        0.961645627784729,
+        0.934480671787262,
+        0.9278618555068969,
+        0.9472960815429687,
+        0.977372176361084,
+        0.9279924439430237,
+        0.931221773815155,
+        0.9409424783706665,
+        0.9645380886077881,
+        0.9430541513442993,
+        0.9649716537475586,
+        0.9659242866516113,
+        0.9619326337814331,
+        0.9567905778884888,
+        0.9783849853515625,
+        1.0015579802513122,
+        1.00494115524292,
+        1.0035569537639617,
+        1.0050078544616698,
+        1.0123552949905394,
+        1.01352340259552,
+        1.039237533378601,
+        1.035588917160034,
+        1.032976812839508,
+        1.0407879976272583,
+        1.0397173221588134,
+        1.0423907831192016,
+        1.0491719779968263,
+        1.0476377964019776,
+        1.0432713088989258,
+        1.0447245557785034,
+        1.0415431062698364,
+        1.0402565887451172,
+        1.0366182415008545,
+        1.0374339856147765,
+        1.034851577758789,
+        1.034139908027649,
+        1.03353916721344,
+        1.0329146126270294,
+        1.0321089252471924,
+        1.031716856765747,
+        1.0315448204040527
+      ],
+      "train_acc": [
+        0.1876,
+        0.4894,
+        0.6908,
+        0.7843,
+        0.8259,
+        0.842,
+        0.8522,
+        0.8611,
+        0.865,
+        0.8667,
+        0.8621,
+        0.8616,
+        0.8682,
+        0.8684,
+        0.8649,
+        0.8589,
+        0.8678,
+        0.8687,
+        0.8575,
+        0.8564,
+        0.8445,
+        0.8433,
+        0.847,
+        0.8404,
+        0.8242,
+        0.8214,
+        0.8033,
+        0.7973,
+        0.7998,
+        0.7819,
+        0.7709,
+        0.759,
+        0.7496,
+        0.7381,
+        0.7503,
+        0.7337,
+        0.7231,
+        0.7248,
+        0.7162,
+        0.7119,
+        0.7086,
+        0.704,
+        0.6929,
+        0.6995,
+        0.6953,
+        0.689,
+        0.6838,
+        0.6914,
+        0.682,
+        0.6818,
+        0.6811,
+        0.678,
+        0.6733,
+        0.6705,
+        0.6659,
+        0.6704,
+        0.6677,
+        0.664,
+        0.6659,
+        0.6563,
+        0.6611,
+        0.6626,
+        0.659,
+        0.6568,
+        0.6604,
+        0.6565,
+        0.6579,
+        0.6618,
+        0.6593,
+        0.6605,
+        0.6601,
+        0.6607,
+        0.6624,
+        0.6624,
+        0.6629,
+        0.6634,
+        0.6626,
+        0.663,
+        0.6627,
+        0.6634
+      ],
+      "test_acc": [
+        0.336,
+        0.581,
+        0.72,
+        0.7835,
+        0.8075,
+        0.8185,
+        0.8225,
+        0.8195,
+        0.827,
+        0.8205,
+        0.824,
+        0.8235,
+        0.8285,
+        0.818,
+        0.8225,
+        0.831,
+        0.8015,
+        0.8365,
+        0.8205,
+        0.765,
+        0.8095,
+        0.8035,
+        0.7985,
+        0.774,
+        0.77,
+        0.7605,
+        0.738,
+        0.75,
+        0.739,
+        0.731,
+        0.7145,
+        0.7115,
+        0.6835,
+        0.703,
+        0.701,
+        0.6735,
+        0.6755,
+        0.656,
+        0.6585,
+        0.6815,
+        0.68,
+        0.6655,
+        0.6795,
+        0.6795,
+        0.675,
+        0.665,
+        0.665,
+        0.659,
+        0.6605,
+        0.657,
+        0.662,
+        0.652,
+        0.648,
+        0.648,
+        0.646,
+        0.6455,
+        0.6495,
+        0.6455,
+        0.646,
+        0.6435,
+        0.639,
+        0.6315,
+        0.6405,
+        0.635,
+        0.644,
+        0.6405,
+        0.637,
+        0.6265,
+        0.6335,
+        0.6385,
+        0.6355,
+        0.631,
+        0.637,
+        0.635,
+        0.6395,
+        0.6365,
+        0.639,
+        0.6365,
+        0.638,
+        0.638
+      ],
+      "value_loss": [
+        2.876306781387329,
+        0.7856723394393921,
+        0.5928473916530609,
+        0.5013651826143265,
+        0.44722279748916627,
+        0.4374195610523224,
+        0.4381609722137451,
+        0.46451272745132444,
+        0.5010983292698861,
+        0.49245802602767946,
+        0.5388860324859619,
+        0.6111842860221863,
+        0.5615375234603882,
+        0.5658212431192398,
+        0.6179779888391495,
+        0.6809112598419189,
+        0.6433888878822327,
+        0.6772890575408935,
+        0.7352884284079075,
+        0.8157524694442749,
+        0.9909413330078125,
+        0.9366963150024414,
+        0.9510981642961502,
+        1.048841558933258,
+        1.154732922744751,
+        1.2454240258216858,
+        1.4217876974105834,
+        1.3324861633300782,
+        1.383902477169037,
+        1.4895198330879211,
+        1.6056639788627625,
+        1.427614409351349,
+        1.3538882410049438,
+        1.411731699848175,
+        1.1238839833259582,
+        1.2100854367256164,
+        1.214574584853649,
+        1.0777985618591308,
+        1.1443535018444062,
+        1.0253696113348008,
+        0.919029998588562,
+        0.8878245719909668,
+        0.9744467445373535,
+        0.824526634979248,
+        0.8014205926895142,
+        0.7634805387496948,
+        0.7902832801818848,
+        0.7393046459197998,
+        0.7831286626815795,
+        0.758888035583496,
+        0.719997971534729,
+        0.7418651414871216,
+        0.7080020462989807,
+        0.8019536107063293,
+        0.7214265657424926,
+        0.7120814613819122,
+        0.717910733795166,
+        0.7196631093978881,
+        0.7238030241012573,
+        0.7440049339294433,
+        0.7167224275588989,
+        0.6929942185401916,
+        0.7202660966396331,
+        0.6883848846435547,
+        0.698680549621582,
+        0.7095868293762208,
+        0.6795802874088287,
+        0.663805854511261,
+        0.6624986004829406,
+        0.6704760707855225,
+        0.6755891981124877,
+        0.7603735716819763,
+        0.648806884264946,
+        0.6449895093441009,
+        0.6462680356025696,
+        0.6254746982574463,
+        0.6235096879005432,
+        0.6025638544082642,
+        0.6216146362304688,
+        0.6248516966819763
+      ],
+      "term_loss": [
+        1.639870400428772,
+        0.3507210045337677,
+        0.34477140822410585,
+        0.29710007433891295,
+        0.2601790674209595,
+        0.25600365054607394,
+        0.25877483711242677,
+        0.29236667512655257,
+        0.3331691867649555,
+        0.3240827446460724,
+        0.36899902091026304,
+        0.4347284555196762,
+        0.3967565870523453,
+        0.39815111773014067,
+        0.4507559413194656,
+        0.5020932229995727,
+        0.4743917005300522,
+        0.5037893265724183,
+        0.5480789810597897,
+        0.6277814621925354,
+        0.7829725056648255,
+        0.7233813446044922,
+        0.7467594781458378,
+        0.8260618205308914,
+        0.9186455319404602,
+        1.0031881261825562,
+        1.1540955222129823,
+        1.0660843635559083,
+        1.1143094442605972,
+        1.2018714171886444,
+        1.3037795733451842,
+        1.1133485041618347,
+        1.0332393661499024,
+        1.0753915726184844,
+        0.8136546610355377,
+        0.8798294746398926,
+        0.8744119406983256,
+        0.7455172416687011,
+        0.8011896505832672,
+        0.6859100102216006,
+        0.5815183532238006,
+        0.5462483320474625,
+        0.6176732580661773,
+        0.4817309150695801,
+        0.4554020172119141,
+        0.4135750238418579,
+        0.4313158232688904,
+        0.39167013053894045,
+        0.428555741071701,
+        0.40601828079223634,
+        0.3743584144592285,
+        0.3892281187534332,
+        0.3544705183029175,
+        0.43724887987971306,
+        0.35984939937591554,
+        0.35236385194063186,
+        0.3571020919799805,
+        0.35568072917461396,
+        0.361035050535202,
+        0.3737378871917725,
+        0.35216808892488477,
+        0.32893878989219666,
+        0.3490776247859001,
+        0.32203044962882993,
+        0.32965824136734007,
+        0.33938146572113037,
+        0.3120464255452156,
+        0.30106174416542053,
+        0.29664410429000854,
+        0.30635549602508544,
+        0.30906102600097657,
+        0.375988377571106,
+        0.29100386579036713,
+        0.28118928681612015,
+        0.2787789331912994,
+        0.267332150387764,
+        0.2657620764285326,
+        0.2520246841192246,
+        0.2673741018772125,
+        0.2734043194293976
+      ],
+      "bridge_loss": [
+        0.9365049929586589,
+        0.13423291933834552,
+        0.02359517429172993,
+        0.009435658095777035,
+        0.016151994919776917,
+        0.019326301124691962,
+        0.02228460746407509,
+        0.017419311372935772,
+        0.015196872821450233,
+        0.015288333666324615,
+        0.013569608584046364,
+        0.013740351551026106,
+        0.012244615394622087,
+        0.012688239745795726,
+        0.011124985119700432,
+        0.012841972821950912,
+        0.014346514343097807,
+        0.015282003252208232,
+        0.020628411626443268,
+        0.01985876966714859,
+        0.024889793342351915,
+        0.03505476154237985,
+        0.02604603983312845,
+        0.03549123661220074,
+        0.034647015199065205,
+        0.037708253931999204,
+        0.04363026385307312,
+        0.04016457169055939,
+        0.04331139268875122,
+        0.041140395292639735,
+        0.044560722640156744,
+        0.049140659207105634,
+        0.04577249918580055,
+        0.04996752251982689,
+        0.04400557230710983,
+        0.048151988497376445,
+        0.05200917733758688,
+        0.04542869421243668,
+        0.04608109139800072,
+        0.046201552886515854,
+        0.04489687628746033,
+        0.04607596616744995,
+        0.054255467438697816,
+        0.049672819927334785,
+        0.053708798533678055,
+        0.053039796304702756,
+        0.05734103150367737,
+        0.051897763884067534,
+        0.05335785975456238,
+        0.05264690642356873,
+        0.047083489751815796,
+        0.05342354041486978,
+        0.05028336017727852,
+        0.05724046026468277,
+        0.0501610916852951,
+        0.05189191411733627,
+        0.05292398271858692,
+        0.053859466511011124,
+        0.05355185590982437,
+        0.054500432527065275,
+        0.05102754718065262,
+        0.052611512261629106,
+        0.057694364416599274,
+        0.05261626641750336,
+        0.055332134974002835,
+        0.05660939726829529,
+        0.05285219025611877,
+        0.05093574574589729,
+        0.0517145704627037,
+        0.05241333737373352,
+        0.055536415910720824,
+        0.07385429392457009,
+        0.04720236387550831,
+        0.05397108833789825,
+        0.05832255332022905,
+        0.04941890643239021,
+        0.04918186986446381,
+        0.04253149769902229,
+        0.04644611543416977,
+        0.04374015842676163
+      ],
+      "tgrad_loss": [
+        0.2999313575744629,
+        0.30071841287612916,
+        0.2244808042049408,
+        0.19482945413589478,
+        0.17089173245429992,
+        0.16208961111307144,
+        0.15710153303146362,
+        0.15472674567103387,
+        0.15273226557970046,
+        0.15308694994449615,
+        0.15631739873886108,
+        0.1627154801607132,
+        0.15253631706237794,
+        0.15498188679218292,
+        0.15609705946445465,
+        0.16597607221603394,
+        0.154650675368309,
+        0.15821772830486297,
+        0.16658104096725584,
+        0.1681122395515442,
+        0.18307903990745544,
+        0.17826021099090575,
+        0.17829264632463454,
+        0.18728849435448647,
+        0.20144037680625915,
+        0.20452762956619264,
+        0.2240619119644165,
+        0.22623722536563873,
+        0.22628164014816285,
+        0.24650802659988402,
+        0.2573236642599106,
+        0.26512524480819705,
+        0.2748763925552368,
+        0.28637262206077574,
+        0.2662237548828125,
+        0.2821039693832397,
+        0.28815346791744234,
+        0.2868526280403137,
+        0.29708276128768923,
+        0.2932580437421799,
+        0.292614759683609,
+        0.2955002767562866,
+        0.3025180263757706,
+        0.2931228996038437,
+        0.29230977420806886,
+        0.2968657133102417,
+        0.30162642464637757,
+        0.2957367503643036,
+        0.30121506395339964,
+        0.3002228458404541,
+        0.2985560688495636,
+        0.29921348223686217,
+        0.3032481753349304,
+        0.3074642710447311,
+        0.3114160710811615,
+        0.3078256957054138,
+        0.30788465242385865,
+        0.31012291219234467,
+        0.30921611247062686,
+        0.3157666190624237,
+        0.31352679815292356,
+        0.31144391264915466,
+        0.31349411163330076,
+        0.3137381648540497,
+        0.31369017992019654,
+        0.3135959681987762,
+        0.3146816665649414,
+        0.3118083592414856,
+        0.31413992648124694,
+        0.3117072313308716,
+        0.3109917598247528,
+        0.3105308976173401,
+        0.3106006525039673,
+        0.30982913246154786,
+        0.30916655061244963,
+        0.3087236411571503,
+        0.3085657374978065,
+        0.3080076750278473,
+        0.3077944193840027,
+        0.3077072183132172
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.09752383828163147,
+        0.2814161777496338
+      ],
+      "perturbation_rho": [
+        0.2172888070344925,
+        0.46050792932510376
+      ],
+      "nudging": {
+        "0.001": [
+          -0.005947513971477747,
+          -0.0023629600182175636
+        ],
+        "0.003": [
+          -0.017743801698088646,
+          -0.007080004084855318
+        ],
+        "0.01": [
+          -0.05797416716814041,
+          -0.023506879806518555
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L2_s42.json b/results/synth_ladder_v2_lo/synth_a0.25_L2_s42.json
new file mode 100644
index 0000000..08b20a6
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L2_s42.json
@@ -0,0 +1,1512 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.7909032949447632,
+        0.8408651754379273,
+        0.4797002552509308,
+        0.3647427452087402,
+        0.3124784866809845,
+        0.2817441850662231,
+        0.2590787395477295,
+        0.25116723079681397,
+        0.2374646141052246,
+        0.22318382008075713,
+        0.2223593633413315,
+        0.1995730001926422,
+        0.2196668884038925,
+        0.19875684378147127,
+        0.1934546858549118,
+        0.18952004461288452,
+        0.18683569231033326,
+        0.19224771404266358,
+        0.18635251063108443,
+        0.16810201063156127,
+        0.17770678448677063,
+        0.17279608354568482,
+        0.16727651731967927,
+        0.1559371694803238,
+        0.15815642802715302,
+        0.14418157806396484,
+        0.14997697926163672,
+        0.1387534565925598,
+        0.15129592059105634,
+        0.13506835396289826,
+        0.1424376358985901,
+        0.1351928102493286,
+        0.1380953494757414,
+        0.12529992187023162,
+        0.1325531720519066,
+        0.1227368601322174,
+        0.13023556920289994,
+        0.12078996238708496,
+        0.12364544925689697,
+        0.11792606129646302,
+        0.1153166356086731,
+        0.11588856360912322,
+        0.11642754650115966,
+        0.11655678544044494,
+        0.10944631642103195,
+        0.10654066693782806,
+        0.10285172426700592,
+        0.10260429283976555,
+        0.099968874502182,
+        0.09773169926404952,
+        0.097343274974823,
+        0.09863903195858002,
+        0.0987546160697937,
+        0.0955238178730011,
+        0.09478670574426651,
+        0.09218684401512146,
+        0.09407348573207855,
+        0.09172552303671837,
+        0.08920091514587403,
+        0.08815436470508575,
+        0.08759597380161285,
+        0.0869701828956604,
+        0.08645854530334472,
+        0.08645270910263061,
+        0.08507799062728882,
+        0.08462890653610229,
+        0.0839632087945938,
+        0.08303676342964172,
+        0.08232744481563568,
+        0.08194958243370055,
+        0.08150955953598023,
+        0.08117919763922692,
+        0.0808682661652565,
+        0.08060784562826157,
+        0.08038016645908355,
+        0.08024281358420848,
+        0.0800727246761322,
+        0.07996719419956207,
+        0.07990662084817886,
+        0.07986213479042054
+      ],
+      "train_acc": [
+        0.4015,
+        0.7763,
+        0.872,
+        0.8957,
+        0.9046,
+        0.9098,
+        0.9139,
+        0.91,
+        0.9202,
+        0.92,
+        0.9182,
+        0.9316,
+        0.9176,
+        0.9279,
+        0.9296,
+        0.9311,
+        0.9308,
+        0.9279,
+        0.9304,
+        0.9406,
+        0.9342,
+        0.9348,
+        0.9381,
+        0.9455,
+        0.9419,
+        0.9511,
+        0.9453,
+        0.954,
+        0.9456,
+        0.9527,
+        0.948,
+        0.9541,
+        0.9518,
+        0.9601,
+        0.9544,
+        0.9613,
+        0.9538,
+        0.9586,
+        0.9584,
+        0.9612,
+        0.962,
+        0.9617,
+        0.9613,
+        0.9593,
+        0.9645,
+        0.9672,
+        0.971,
+        0.9708,
+        0.9735,
+        0.9739,
+        0.9725,
+        0.9731,
+        0.9719,
+        0.9745,
+        0.9751,
+        0.976,
+        0.9732,
+        0.9763,
+        0.9781,
+        0.9783,
+        0.9781,
+        0.9786,
+        0.9791,
+        0.9798,
+        0.9821,
+        0.9809,
+        0.9808,
+        0.9812,
+        0.9818,
+        0.9824,
+        0.982,
+        0.9824,
+        0.9828,
+        0.9828,
+        0.9832,
+        0.9836,
+        0.9837,
+        0.9836,
+        0.9838,
+        0.9838
+      ],
+      "test_acc": [
+        0.6525,
+        0.8175,
+        0.8655,
+        0.8835,
+        0.8785,
+        0.882,
+        0.893,
+        0.888,
+        0.8855,
+        0.8905,
+        0.893,
+        0.894,
+        0.894,
+        0.889,
+        0.897,
+        0.8985,
+        0.8865,
+        0.898,
+        0.8935,
+        0.897,
+        0.8925,
+        0.905,
+        0.8995,
+        0.9085,
+        0.902,
+        0.9065,
+        0.9045,
+        0.906,
+        0.902,
+        0.903,
+        0.9015,
+        0.9055,
+        0.9075,
+        0.9075,
+        0.912,
+        0.9065,
+        0.9085,
+        0.9065,
+        0.9015,
+        0.908,
+        0.9045,
+        0.9045,
+        0.906,
+        0.906,
+        0.904,
+        0.904,
+        0.911,
+        0.908,
+        0.9085,
+        0.9135,
+        0.909,
+        0.9075,
+        0.9115,
+        0.9135,
+        0.917,
+        0.914,
+        0.91,
+        0.9135,
+        0.9105,
+        0.91,
+        0.911,
+        0.908,
+        0.9065,
+        0.9075,
+        0.908,
+        0.909,
+        0.907,
+        0.907,
+        0.9085,
+        0.9095,
+        0.9085,
+        0.908,
+        0.9075,
+        0.9075,
+        0.9085,
+        0.9085,
+        0.908,
+        0.908,
+        0.908,
+        0.908
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9068200588226318,
+        0.8893121480941772
+      ],
+      "perturbation_rho": [
+        0.9999985098838806,
+        0.9999943971633911
+      ],
+      "nudging": {
+        "0.001": [
+          -0.023899933323264122,
+          -0.008479279465973377
+        ],
+        "0.003": [
+          -0.0650826171040535,
+          -0.024595053866505623
+        ],
+        "0.01": [
+          -0.15680165588855743,
+          -0.07294036448001862
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.272149989128113,
+        1.6072792436599732,
+        0.9563953531265259,
+        0.632236511516571,
+        0.47902783765792845,
+        0.4073201657772064,
+        0.3671415810585022,
+        0.35644190893173217,
+        0.35256571426391603,
+        0.3582359858751297,
+        0.3660087926208973,
+        0.36652003979682923,
+        0.37060247931480406,
+        0.3795734006881714,
+        0.38890625929832456,
+        0.3900839144229889,
+        0.4118562028884888,
+        0.4039736029624939,
+        0.37663860700130464,
+        0.37836415185928346,
+        0.420570277929306,
+        0.4127836347579956,
+        0.41665606060028076,
+        0.3981014615058899,
+        0.400833323764801,
+        0.41302710666656495,
+        0.41561282229423524,
+        0.3989115385055542,
+        0.43917759885042906,
+        0.39013743410110474,
+        0.4253689344406128,
+        0.40447203521728514,
+        0.40794838209152223,
+        0.4303056351661682,
+        0.3982668053627014,
+        0.3899207235336304,
+        0.42121000814437864,
+        0.4009185729980469,
+        0.41895741519927976,
+        0.41355561633110044,
+        0.38559334030151365,
+        0.39681776518821715,
+        0.3590934567213058,
+        0.37791539306640626,
+        0.3702590451717377,
+        0.37318263463974,
+        0.3705978121757507,
+        0.3725005265951157,
+        0.34017645268440244,
+        0.35172376317977905,
+        0.35478726396560667,
+        0.3520003671169281,
+        0.3633641314744949,
+        0.33544783420562746,
+        0.3414689769744873,
+        0.3352735348701477,
+        0.344571617937088,
+        0.32714939917325975,
+        0.3172183589220047,
+        0.3279861245632172,
+        0.32109520440101624,
+        0.316487836933136,
+        0.31405309810638427,
+        0.3157914097547531,
+        0.30937249819040297,
+        0.31022134857177736,
+        0.31250496447086334,
+        0.30788920271396636,
+        0.3062834129333496,
+        0.3069887036204338,
+        0.3004336483001709,
+        0.3017194701194763,
+        0.29909859516620635,
+        0.29890388836860654,
+        0.2970484607696533,
+        0.29831262575387957,
+        0.29611629629135133,
+        0.2954514974594116,
+        0.2951315716266632,
+        0.294859547996521
+      ],
+      "train_acc": [
+        0.1683,
+        0.4682,
+        0.6752,
+        0.7755,
+        0.8224,
+        0.8451,
+        0.8605,
+        0.8657,
+        0.8635,
+        0.8677,
+        0.8698,
+        0.8682,
+        0.8697,
+        0.8687,
+        0.8672,
+        0.87,
+        0.865,
+        0.8635,
+        0.8739,
+        0.8745,
+        0.8605,
+        0.8632,
+        0.8674,
+        0.8705,
+        0.867,
+        0.8662,
+        0.8655,
+        0.8703,
+        0.8605,
+        0.8701,
+        0.8616,
+        0.8678,
+        0.8676,
+        0.8661,
+        0.8688,
+        0.8706,
+        0.8628,
+        0.873,
+        0.8626,
+        0.8685,
+        0.8731,
+        0.8714,
+        0.8803,
+        0.8761,
+        0.8799,
+        0.8822,
+        0.8754,
+        0.8773,
+        0.8849,
+        0.883,
+        0.8826,
+        0.8826,
+        0.8778,
+        0.8878,
+        0.8855,
+        0.8878,
+        0.882,
+        0.885,
+        0.8921,
+        0.8867,
+        0.8886,
+        0.8925,
+        0.8926,
+        0.8922,
+        0.8964,
+        0.8934,
+        0.8924,
+        0.8942,
+        0.8954,
+        0.8958,
+        0.898,
+        0.8958,
+        0.8981,
+        0.898,
+        0.8982,
+        0.8972,
+        0.8986,
+        0.8991,
+        0.8995,
+        0.8986
+      ],
+      "test_acc": [
+        0.3005,
+        0.571,
+        0.71,
+        0.769,
+        0.794,
+        0.807,
+        0.82,
+        0.8205,
+        0.8235,
+        0.8205,
+        0.8175,
+        0.822,
+        0.822,
+        0.8075,
+        0.8225,
+        0.813,
+        0.811,
+        0.82,
+        0.831,
+        0.821,
+        0.817,
+        0.817,
+        0.815,
+        0.7975,
+        0.8065,
+        0.8205,
+        0.826,
+        0.7885,
+        0.8195,
+        0.792,
+        0.8155,
+        0.8325,
+        0.809,
+        0.826,
+        0.8235,
+        0.808,
+        0.8195,
+        0.8115,
+        0.809,
+        0.819,
+        0.805,
+        0.833,
+        0.8255,
+        0.824,
+        0.8305,
+        0.8195,
+        0.806,
+        0.8375,
+        0.8325,
+        0.8255,
+        0.83,
+        0.8185,
+        0.836,
+        0.832,
+        0.8455,
+        0.8335,
+        0.8425,
+        0.846,
+        0.841,
+        0.839,
+        0.8405,
+        0.843,
+        0.8425,
+        0.8405,
+        0.8485,
+        0.8445,
+        0.8455,
+        0.848,
+        0.85,
+        0.849,
+        0.8445,
+        0.8495,
+        0.8475,
+        0.843,
+        0.8465,
+        0.8485,
+        0.846,
+        0.8475,
+        0.848,
+        0.847
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.008382977917790413,
+        0.06159647926688194
+      ],
+      "perturbation_rho": [
+        -0.022914212197065353,
+        0.018335968255996704
+      ],
+      "nudging": {
+        "0.001": [
+          0.0001649217592785135,
+          -0.00021235107851680368
+        ],
+        "0.003": [
+          0.0006042401073500514,
+          -0.0006366041488945484
+        ],
+        "0.01": [
+          0.0033093439415097237,
+          -0.002113340189680457
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        2.057672385406494,
+        1.1166771314620971,
+        0.6086244252204895,
+        0.4245740672111511,
+        0.36483576316833494,
+        0.35679988889694214,
+        0.3548254811286926,
+        0.34793691511154173,
+        0.3464306734323502,
+        0.3435576392173767,
+        0.34013770332932475,
+        0.33322665920257566,
+        0.33403541398048403,
+        0.3319604155063629,
+        0.3415149167060852,
+        0.3399295929431915,
+        0.3496535359382629,
+        0.37121437792778017,
+        0.362134037733078,
+        0.38054348917007447,
+        0.37667123994827273,
+        0.36827400608062744,
+        0.37283519170284274,
+        0.3736583568572998,
+        0.39922317066192625,
+        0.38717319040298465,
+        0.37632566776275633,
+        0.39565731761455536,
+        0.3784814638614655,
+        0.3727163250207901,
+        0.37778283381462097,
+        0.36831437734365463,
+        0.36310676040649414,
+        0.4009634237289429,
+        0.3620505106925964,
+        0.3674455921173096,
+        0.3772189566731453,
+        0.3530207999229431,
+        0.3573484922885895,
+        0.3630984719753265,
+        0.35662814855575564,
+        0.37530835361480713,
+        0.351890708065033,
+        0.36676664543151855,
+        0.3481761688232422,
+        0.35212536692619323,
+        0.34319338274002076,
+        0.3521613523960114,
+        0.337118542098999,
+        0.3296779903411865,
+        0.33185150694847104,
+        0.3305467273712158,
+        0.3442539291143417,
+        0.33049997148513793,
+        0.32896905941963195,
+        0.327506383895874,
+        0.3324374245882034,
+        0.3221533220291138,
+        0.3242107194542885,
+        0.32271010704040526,
+        0.318077142906189,
+        0.3179136665344238,
+        0.3174248493671417,
+        0.3131567057132721,
+        0.31502656025886533,
+        0.31301859073638916,
+        0.312909477519989,
+        0.3118305783390999,
+        0.31005851497650144,
+        0.30886491203308103,
+        0.3087408046722412,
+        0.30726790990829467,
+        0.3069364815831184,
+        0.3057547236442566,
+        0.3054956469535828,
+        0.30528006699085236,
+        0.30487773990631106,
+        0.30455025148391723,
+        0.304351772236824,
+        0.30421765327453615
+      ],
+      "train_acc": [
+        0.2627,
+        0.6355,
+        0.7918,
+        0.8496,
+        0.8661,
+        0.8649,
+        0.8652,
+        0.8693,
+        0.8681,
+        0.8695,
+        0.8729,
+        0.8751,
+        0.8734,
+        0.8741,
+        0.8698,
+        0.8682,
+        0.8684,
+        0.8594,
+        0.862,
+        0.8585,
+        0.8587,
+        0.8606,
+        0.8568,
+        0.8597,
+        0.8494,
+        0.8553,
+        0.8551,
+        0.8509,
+        0.8614,
+        0.8609,
+        0.861,
+        0.8661,
+        0.8636,
+        0.8551,
+        0.863,
+        0.8613,
+        0.859,
+        0.8686,
+        0.8678,
+        0.8627,
+        0.8657,
+        0.8607,
+        0.867,
+        0.8651,
+        0.8714,
+        0.871,
+        0.8732,
+        0.8694,
+        0.8748,
+        0.8771,
+        0.878,
+        0.8747,
+        0.8735,
+        0.8772,
+        0.8792,
+        0.878,
+        0.8762,
+        0.8818,
+        0.8768,
+        0.8803,
+        0.879,
+        0.8811,
+        0.8814,
+        0.883,
+        0.8825,
+        0.8844,
+        0.8823,
+        0.8829,
+        0.8866,
+        0.8862,
+        0.8846,
+        0.8855,
+        0.885,
+        0.8869,
+        0.8859,
+        0.8861,
+        0.8857,
+        0.886,
+        0.8862,
+        0.8862
+      ],
+      "test_acc": [
+        0.482,
+        0.709,
+        0.787,
+        0.813,
+        0.8285,
+        0.8275,
+        0.8345,
+        0.826,
+        0.826,
+        0.8305,
+        0.8215,
+        0.819,
+        0.8185,
+        0.817,
+        0.819,
+        0.812,
+        0.817,
+        0.8125,
+        0.8045,
+        0.7905,
+        0.7995,
+        0.8055,
+        0.801,
+        0.8025,
+        0.804,
+        0.801,
+        0.792,
+        0.7925,
+        0.807,
+        0.798,
+        0.7985,
+        0.799,
+        0.7915,
+        0.8155,
+        0.8095,
+        0.804,
+        0.811,
+        0.814,
+        0.803,
+        0.8115,
+        0.81,
+        0.813,
+        0.819,
+        0.813,
+        0.817,
+        0.8165,
+        0.8175,
+        0.8245,
+        0.82,
+        0.814,
+        0.8225,
+        0.816,
+        0.8245,
+        0.817,
+        0.8225,
+        0.82,
+        0.8225,
+        0.826,
+        0.823,
+        0.823,
+        0.8275,
+        0.8235,
+        0.8225,
+        0.826,
+        0.8255,
+        0.827,
+        0.8245,
+        0.825,
+        0.8255,
+        0.8235,
+        0.8245,
+        0.826,
+        0.8225,
+        0.8265,
+        0.8245,
+        0.825,
+        0.8255,
+        0.827,
+        0.827,
+        0.827
+      ],
+      "state_pred_error": [
+        0.7967377858638763,
+        0.34598296966552733,
+        0.2030195487499237,
+        0.16683620121479034,
+        0.15052817759513856,
+        0.13117947192192078,
+        0.10972135738134384,
+        0.0900312513589859,
+        0.07317366843223572,
+        0.06010319168567657,
+        0.04874778895378113,
+        0.0407476614356041,
+        0.03495406020283699,
+        0.02987285739183426,
+        0.026561988437175752,
+        0.023144602596759795,
+        0.021253752559423446,
+        0.019422493594884873,
+        0.017936924171447755,
+        0.016594687747955323,
+        0.015548654867708683,
+        0.014461067456007004,
+        0.013745320722460748,
+        0.012979924492537976,
+        0.01257009451687336,
+        0.012221769727766514,
+        0.011650261569023133,
+        0.011007585345208645,
+        0.010606600934267045,
+        0.01016893789768219,
+        0.00975934579372406,
+        0.009299210277199745,
+        0.009092474126815795,
+        0.008728945380449295,
+        0.008686305114626884,
+        0.008494052711874247,
+        0.007941164903342724,
+        0.007641752201318741,
+        0.007414149653911591,
+        0.007252850785851478,
+        0.007086898298561573,
+        0.006903395959734917,
+        0.0067314132377505305,
+        0.006647216567397117,
+        0.006545945912599564,
+        0.006497067116945982,
+        0.006256709571182728,
+        0.006150986460596323,
+        0.005971997079998255,
+        0.005811705444008112,
+        0.005608313149213791,
+        0.005580492584407329,
+        0.005637438614666462,
+        0.005647444573789835,
+        0.005466383482515812,
+        0.005266562070697546,
+        0.005138493876159191,
+        0.00498729590177536,
+        0.004910858514904976,
+        0.004862993755191564,
+        0.004731716811656952,
+        0.0047377496108412746,
+        0.0047596204489469525,
+        0.004541794133931398,
+        0.00446272025257349,
+        0.004423295229673386,
+        0.00430677450299263,
+        0.0043451601408422,
+        0.004428337071090937,
+        0.004295985059812665,
+        0.0042147732827812435,
+        0.0040082332260906696,
+        0.0041201773762702945,
+        0.003969736605882645,
+        0.00395717710107565,
+        0.004493858044967055,
+        0.003766924513503909,
+        0.0037810308314859867,
+        0.0038307637006044387,
+        0.0036542431749403475
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9188902378082275,
+        0.4362110495567322
+      ],
+      "perturbation_rho": [
+        0.8401009440422058,
+        0.41428011655807495
+      ],
+      "nudging": {
+        "0.001": [
+          -0.027256522327661514,
+          -0.0028760721907019615
+        ],
+        "0.003": [
+          -0.07801611721515656,
+          -0.008582176640629768
+        ],
+        "0.01": [
+          -0.21947401762008667,
+          -0.02806854248046875
+        ]
+      },
+      "state_pred_error_per_layer": [
+        753.1610107421875,
+        333.87890625
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2717817337036132,
+        1.6044951431274415,
+        0.9575855054855347,
+        0.6274385880470276,
+        0.479679812002182,
+        0.4025820679664612,
+        0.3722260438919067,
+        0.35356286239624024,
+        0.35820354251861575,
+        0.37495428252220153,
+        0.3565654326915741,
+        0.3734219524860382,
+        0.3754354688644409,
+        0.39081022024154666,
+        0.37834826040267944,
+        0.4085339098930359,
+        0.3934634296178818,
+        0.40792312593460084,
+        0.41530650129318236,
+        0.45324366564750673,
+        0.4508738428592682,
+        0.5132140514850616,
+        0.5059539035320282,
+        0.5738642817497254,
+        0.5628011140346527,
+        0.5786454545974732,
+        0.6376582353115082,
+        0.6003107436180115,
+        0.6011718498229981,
+        0.6524772605895997,
+        0.6472935548782348,
+        0.6307102481842041,
+        0.6182636840820313,
+        0.63121531457901,
+        0.6926726831436157,
+        0.6685154367446899,
+        0.7257110968589783,
+        0.6795891889095307,
+        0.6769815434455871,
+        0.7017775566101074,
+        0.7776780778884888,
+        0.7102687572002411,
+        0.7532470722198487,
+        0.7802075752258301,
+        0.7946839473724365,
+        0.7761624695301056,
+        0.8113742619514466,
+        0.8059718873977662,
+        0.8183923157691956,
+        0.8154451040267945,
+        0.8366338520050048,
+        0.842187615776062,
+        0.8577603224754333,
+        0.8479723624229432,
+        0.8778535093307495,
+        0.876348822593689,
+        0.8831672384738922,
+        0.8729063333511352,
+        0.8774579629898072,
+        0.9124985290527343,
+        0.8993189775466919,
+        0.9178578794002533,
+        0.9149423480987549,
+        0.9265102993011475,
+        0.9319318475723266,
+        0.937051300239563,
+        0.9444302869796752,
+        0.9413692620277405,
+        0.9406136125564575,
+        0.9456098251342774,
+        0.9459423446655273,
+        0.9455011163711547,
+        0.9455199542999267,
+        0.9456782765388488,
+        0.9462723201751709,
+        0.9461660702705383,
+        0.9455078218698502,
+        0.9445678804397583,
+        0.9438195475578308,
+        0.943692198753357
+      ],
+      "train_acc": [
+        0.1685,
+        0.4663,
+        0.6767,
+        0.7776,
+        0.8201,
+        0.8482,
+        0.8584,
+        0.864,
+        0.8674,
+        0.8645,
+        0.8725,
+        0.8674,
+        0.8708,
+        0.8656,
+        0.872,
+        0.866,
+        0.8661,
+        0.8626,
+        0.8645,
+        0.8503,
+        0.8526,
+        0.8318,
+        0.8337,
+        0.8206,
+        0.818,
+        0.8111,
+        0.7946,
+        0.8,
+        0.7977,
+        0.7791,
+        0.7799,
+        0.782,
+        0.7861,
+        0.7743,
+        0.7594,
+        0.7633,
+        0.746,
+        0.7597,
+        0.7585,
+        0.7534,
+        0.7343,
+        0.7503,
+        0.7375,
+        0.734,
+        0.7335,
+        0.7346,
+        0.7281,
+        0.7262,
+        0.7197,
+        0.7231,
+        0.7196,
+        0.7156,
+        0.7134,
+        0.7144,
+        0.7037,
+        0.7092,
+        0.7075,
+        0.7085,
+        0.7071,
+        0.6968,
+        0.6984,
+        0.697,
+        0.7003,
+        0.6966,
+        0.6967,
+        0.6967,
+        0.6951,
+        0.6947,
+        0.6952,
+        0.6924,
+        0.6928,
+        0.693,
+        0.6911,
+        0.6925,
+        0.6939,
+        0.6929,
+        0.6941,
+        0.6926,
+        0.6936,
+        0.6938
+      ],
+      "test_acc": [
+        0.3075,
+        0.577,
+        0.7165,
+        0.765,
+        0.805,
+        0.806,
+        0.825,
+        0.822,
+        0.816,
+        0.816,
+        0.812,
+        0.8185,
+        0.819,
+        0.8245,
+        0.822,
+        0.8215,
+        0.802,
+        0.8235,
+        0.8035,
+        0.801,
+        0.773,
+        0.767,
+        0.7385,
+        0.763,
+        0.775,
+        0.731,
+        0.745,
+        0.738,
+        0.7035,
+        0.708,
+        0.7235,
+        0.6945,
+        0.7005,
+        0.694,
+        0.699,
+        0.7045,
+        0.7055,
+        0.704,
+        0.6985,
+        0.6615,
+        0.7085,
+        0.695,
+        0.6765,
+        0.6655,
+        0.6895,
+        0.6725,
+        0.6775,
+        0.6455,
+        0.671,
+        0.667,
+        0.664,
+        0.6685,
+        0.6715,
+        0.6655,
+        0.662,
+        0.657,
+        0.657,
+        0.6665,
+        0.6665,
+        0.6635,
+        0.6485,
+        0.663,
+        0.6535,
+        0.6595,
+        0.6515,
+        0.65,
+        0.6535,
+        0.6525,
+        0.647,
+        0.6465,
+        0.6475,
+        0.6505,
+        0.648,
+        0.6445,
+        0.648,
+        0.6455,
+        0.645,
+        0.6455,
+        0.645,
+        0.6455
+      ],
+      "value_loss": [
+        2.9139820795059204,
+        0.7781319219589233,
+        0.6261702270507813,
+        0.5631922412395477,
+        0.5089643202781677,
+        0.47773351917266843,
+        0.49251684589385986,
+        0.5094742440223694,
+        0.5250778325080872,
+        0.5757163972377777,
+        0.5253688870429992,
+        0.5867766951560974,
+        0.5887034587860107,
+        0.6342814973831177,
+        0.6224288850784302,
+        0.7040738446712493,
+        0.6622943760871888,
+        0.6909106607675553,
+        0.6861579052448272,
+        0.8070016531944275,
+        0.7657489172935485,
+        0.8981747324943542,
+        0.8311526319503785,
+        1.0680026486992835,
+        0.9285434822559356,
+        0.8835838872909546,
+        0.9766024167537689,
+        0.8232256447792053,
+        0.7960768020629883,
+        0.7652815974235535,
+        0.7177574991226197,
+        0.6208152499198913,
+        0.5670896316051484,
+        0.521339186668396,
+        0.6030832626342774,
+        0.5279540919303894,
+        0.6378763611793518,
+        0.4802740800619125,
+        0.4685490375518799,
+        0.46527220191955565,
+        0.5925926671981812,
+        0.4850484214305878,
+        0.5189880228042603,
+        0.5404599063873291,
+        0.5865764006614685,
+        0.5419052541732788,
+        0.5603141060113906,
+        0.559055899143219,
+        0.6549916872501373,
+        0.5873499877929688,
+        0.5730865565299987,
+        0.5765046960830689,
+        0.6072168838500976,
+        0.6075364608764648,
+        0.6144091351985932,
+        0.6132542675971985,
+        0.6039235576629639,
+        0.602211035656929,
+        0.5848144401550293,
+        0.6547185651779175,
+        0.6224689907073975,
+        0.6558543173074722,
+        0.6365399208068848,
+        0.6299452920913696,
+        0.6250463237762451,
+        0.6158743118286133,
+        0.6338640846252441,
+        0.6420701734542846,
+        0.6022836451530457,
+        0.6110358497619629,
+        0.6228030502319336,
+        0.6002978692770005,
+        0.6006025218963623,
+        0.6115713768005371,
+        0.6018096000671387,
+        0.6287955265522003,
+        0.5901965017795563,
+        0.5782727504730225,
+        0.5828642177581788,
+        0.5630231554031372
+      ],
+      "term_loss": [
+        1.675116873073578,
+        0.34430024371147155,
+        0.3699357802391052,
+        0.3608538656949997,
+        0.32141098375320437,
+        0.296013809967041,
+        0.3145594831466675,
+        0.3366319574356079,
+        0.35779941773414614,
+        0.41367546219825746,
+        0.3742054052591324,
+        0.4305104339599609,
+        0.4350124341964722,
+        0.47471349573135374,
+        0.4695607521057129,
+        0.5416271431207657,
+        0.50037581397295,
+        0.5279187945127487,
+        0.5226932208895684,
+        0.6252485764980316,
+        0.5859362184286118,
+        0.6939002041339875,
+        0.634807921075821,
+        0.8540068101286888,
+        0.7134227627754212,
+        0.6600253582000732,
+        0.7331792865395546,
+        0.5853852001190185,
+        0.5587812387466431,
+        0.5075105863571167,
+        0.464410977602005,
+        0.37542237077355384,
+        0.3169003723859787,
+        0.2732926230430603,
+        0.3423420313835144,
+        0.2687295290231705,
+        0.35581202269792556,
+        0.22913563103079795,
+        0.21938599632382394,
+        0.2144745792388916,
+        0.31799187030792236,
+        0.2320458871483803,
+        0.2544168309211731,
+        0.2703706371307373,
+        0.3117321794748306,
+        0.2738133100509644,
+        0.27934123712182046,
+        0.2817279294967651,
+        0.3692713690519333,
+        0.30682048025131226,
+        0.2853371166229248,
+        0.28265748102664945,
+        0.30581441168785095,
+        0.30762661685943604,
+        0.30526128548383713,
+        0.305000597679615,
+        0.29075743298530576,
+        0.29170473134592173,
+        0.27489340591430667,
+        0.32806511583328246,
+        0.3060114824295044,
+        0.3312658293545246,
+        0.31389011993408206,
+        0.3109654490470886,
+        0.303177494096756,
+        0.29685306973457337,
+        0.311812850189209,
+        0.31457807751893996,
+        0.2882286059886217,
+        0.2872561911582947,
+        0.3006808135509491,
+        0.2861353112459183,
+        0.2760439012527466,
+        0.29094672749638556,
+        0.2810854609966278,
+        0.3063315445184708,
+        0.2749019814029336,
+        0.2580472655415535,
+        0.2624768678069115,
+        0.2533654543399811
+      ],
+      "bridge_loss": [
+        0.9121190248202939,
+        0.12368383026123046,
+        0.02325579553693533,
+        0.00638287930637598,
+        0.015633951807022095,
+        0.0267038604259491,
+        0.029089016681909562,
+        0.03015945321023464,
+        0.022946262511610985,
+        0.01605847358852625,
+        0.011836738139390946,
+        0.013218694264441729,
+        0.01344587414264679,
+        0.01692773981690407,
+        0.015606502836942673,
+        0.017554944163560866,
+        0.02013770264238119,
+        0.01981841846704483,
+        0.018635487586259842,
+        0.026470916414260866,
+        0.026284595650434495,
+        0.029653245022892953,
+        0.02730709999203682,
+        0.02978192163705826,
+        0.031069664573669435,
+        0.03410405703783035,
+        0.038268526667356494,
+        0.040036833453178405,
+        0.03885038551688194,
+        0.04320903084874153,
+        0.041191232109069824,
+        0.036969611018896106,
+        0.043973470589518546,
+        0.03558493182659149,
+        0.033664032626152036,
+        0.036646516934037206,
+        0.044948402404785155,
+        0.026731023278832436,
+        0.024752013075351714,
+        0.02128150890469551,
+        0.02616920839548111,
+        0.021055375733971596,
+        0.02227571759223938,
+        0.022238678365945817,
+        0.02414751509428024,
+        0.021202504792809485,
+        0.025903358660638334,
+        0.02438402145802975,
+        0.029620986983180046,
+        0.026105598723888398,
+        0.027550537937879562,
+        0.03267939478158951,
+        0.03767158226370811,
+        0.038392514300346375,
+        0.04036871939897537,
+        0.04241352363824844,
+        0.04498921741694212,
+        0.04509584439694882,
+        0.042803814631700514,
+        0.05169626851081848,
+        0.0450944231569767,
+        0.04986252784132957,
+        0.04847792634963989,
+        0.04344110252559185,
+        0.04525724016427994,
+        0.04157515670657158,
+        0.042778206980228425,
+        0.04924657067060471,
+        0.03752178891897202,
+        0.04514836919307709,
+        0.04305028664469719,
+        0.035792450475692746,
+        0.04672777749300003,
+        0.042780098879337314,
+        0.0434021101474762,
+        0.044323261296749114,
+        0.03760044357031584,
+        0.04323315477967262,
+        0.04370184513926506,
+        0.03314736911058426
+      ],
+      "tgrad_loss": [
+        0.3267462004184723,
+        0.31014784474372864,
+        0.23297864780426025,
+        0.19595549144744873,
+        0.1719193906068802,
+        0.15501584944725036,
+        0.14886834893226625,
+        0.14268282673358917,
+        0.14433215198516847,
+        0.14598246383666993,
+        0.1393267445087433,
+        0.14304756488204,
+        0.140245152425766,
+        0.14264026589393616,
+        0.13726163320541382,
+        0.1448917584180832,
+        0.141780867344141,
+        0.14317344819307326,
+        0.14482919363975524,
+        0.15528216607570647,
+        0.15352810034751893,
+        0.17462128348350525,
+        0.16903761179447174,
+        0.18421390730142592,
+        0.184051059871912,
+        0.1894544795513153,
+        0.20515460292696952,
+        0.19780361485481263,
+        0.19844518136978148,
+        0.21456197862625123,
+        0.21215528469085693,
+        0.20842326607704162,
+        0.20621578772068025,
+        0.2124616316318512,
+        0.22707719662189485,
+        0.22257804441452025,
+        0.23711593326330185,
+        0.22440742473006248,
+        0.22441103448867797,
+        0.2295161123752594,
+        0.24843158135414123,
+        0.23194715747833253,
+        0.24229546999931337,
+        0.24785059971809387,
+        0.25069670701026914,
+        0.24688943903446198,
+        0.25506951308250425,
+        0.25294395008087156,
+        0.2560993363618851,
+        0.2544239068031311,
+        0.26019890108108523,
+        0.26116782383918763,
+        0.26373088693618774,
+        0.2615173279285431,
+        0.2687791325092316,
+        0.2658401421546936,
+        0.26817690315246584,
+        0.26541045472621916,
+        0.26711721820831297,
+        0.2749571761608124,
+        0.2713630847454071,
+        0.2747259566783905,
+        0.2741718715667725,
+        0.27553872985839845,
+        0.2766115864753723,
+        0.2774460829734802,
+        0.27927302808761595,
+        0.2782455343008041,
+        0.27653324790000916,
+        0.27863129014968874,
+        0.2790719511032104,
+        0.27837010283470154,
+        0.2778308403968811,
+        0.27784455041885375,
+        0.27732203030586244,
+        0.27814072003364565,
+        0.27769407304525373,
+        0.2769923341035843,
+        0.27668550889492033,
+        0.27651033034324646
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.07500731945037842,
+        0.23077097535133362
+      ],
+      "perturbation_rho": [
+        0.12894567847251892,
+        0.37924277782440186
+      ],
+      "nudging": {
+        "0.001": [
+          -0.005560865625739098,
+          -0.0021081208251416683
+        ],
+        "0.003": [
+          -0.01659420132637024,
+          -0.006318465806543827
+        ],
+        "0.01": [
+          -0.05425257235765457,
+          -0.020995579659938812
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L2_s456.json b/results/synth_ladder_v2_lo/synth_a0.25_L2_s456.json
new file mode 100644
index 0000000..57e685b
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L2_s456.json
@@ -0,0 +1,1512 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.8000983072280883,
+        0.8553262281417847,
+        0.4930526713371277,
+        0.3784203895568848,
+        0.3197663818836212,
+        0.29053169984817506,
+        0.26875064196586607,
+        0.25987493658065797,
+        0.23892381181716918,
+        0.22869952754974365,
+        0.22458118422031403,
+        0.21209806804656983,
+        0.20757287468910218,
+        0.19907629506587982,
+        0.20321457154750824,
+        0.18708656415939331,
+        0.17637303404808044,
+        0.1847076560974121,
+        0.17682335205078126,
+        0.187822900390625,
+        0.18293290028572082,
+        0.18654212374687196,
+        0.17292806282043457,
+        0.18349194377660752,
+        0.1571652352333069,
+        0.16827380738258363,
+        0.15997591190338134,
+        0.1580581651687622,
+        0.14601466226577758,
+        0.14226590123176575,
+        0.14564169149398803,
+        0.15921205137968064,
+        0.13405996446609497,
+        0.13091181358098983,
+        0.12752190665006638,
+        0.12275864148139953,
+        0.1250006089925766,
+        0.11982801494598389,
+        0.12906549286842345,
+        0.12449447993934154,
+        0.11429075312614441,
+        0.1164977291584015,
+        0.11286599822044373,
+        0.10972460707426071,
+        0.10615357451438903,
+        0.10912412519454956,
+        0.1058990234375,
+        0.10500219140052795,
+        0.10486637511253356,
+        0.10353950891494751,
+        0.09869744987487793,
+        0.09981467643976212,
+        0.09713814241886139,
+        0.09420502263009548,
+        0.09280058851242065,
+        0.0938924689769745,
+        0.0941491194486618,
+        0.09126792776584625,
+        0.08973681110143661,
+        0.08885353000164031,
+        0.08794978060722351,
+        0.08694391140937806,
+        0.08604433858394622,
+        0.0855510621547699,
+        0.08556988172531128,
+        0.08505082764625549,
+        0.08439020845592021,
+        0.08360161371231078,
+        0.08313429535627365,
+        0.08274500939846038,
+        0.08240846571028232,
+        0.08203878502845764,
+        0.08169064269661903,
+        0.08140706999301911,
+        0.0811797592163086,
+        0.08097635807991029,
+        0.08089512157440186,
+        0.08077903534770012,
+        0.08070964171886444,
+        0.08066833609938621
+      ],
+      "train_acc": [
+        0.3997,
+        0.7677,
+        0.8688,
+        0.8872,
+        0.8985,
+        0.9015,
+        0.9094,
+        0.9081,
+        0.9159,
+        0.9185,
+        0.9183,
+        0.9231,
+        0.9244,
+        0.9284,
+        0.9244,
+        0.9341,
+        0.9376,
+        0.932,
+        0.9358,
+        0.9307,
+        0.9297,
+        0.9255,
+        0.9352,
+        0.9308,
+        0.9436,
+        0.9367,
+        0.9393,
+        0.9413,
+        0.9498,
+        0.9492,
+        0.9497,
+        0.9404,
+        0.9532,
+        0.9557,
+        0.9587,
+        0.962,
+        0.9591,
+        0.9608,
+        0.9572,
+        0.9563,
+        0.9638,
+        0.9611,
+        0.9661,
+        0.9671,
+        0.9679,
+        0.9665,
+        0.9689,
+        0.9706,
+        0.9675,
+        0.9704,
+        0.9741,
+        0.9719,
+        0.9733,
+        0.9754,
+        0.9772,
+        0.9747,
+        0.9759,
+        0.9778,
+        0.9787,
+        0.9779,
+        0.9799,
+        0.9802,
+        0.981,
+        0.9812,
+        0.9805,
+        0.9816,
+        0.9819,
+        0.9817,
+        0.9821,
+        0.9823,
+        0.9822,
+        0.9832,
+        0.9832,
+        0.9834,
+        0.9835,
+        0.9838,
+        0.9832,
+        0.9833,
+        0.9833,
+        0.9833
+      ],
+      "test_acc": [
+        0.658,
+        0.831,
+        0.867,
+        0.8755,
+        0.878,
+        0.875,
+        0.885,
+        0.886,
+        0.8885,
+        0.8915,
+        0.8895,
+        0.886,
+        0.8885,
+        0.8965,
+        0.8935,
+        0.887,
+        0.9,
+        0.898,
+        0.902,
+        0.8875,
+        0.8975,
+        0.894,
+        0.8955,
+        0.894,
+        0.904,
+        0.9,
+        0.8975,
+        0.896,
+        0.9055,
+        0.903,
+        0.8995,
+        0.9035,
+        0.9055,
+        0.8975,
+        0.905,
+        0.9045,
+        0.903,
+        0.908,
+        0.9045,
+        0.9115,
+        0.9075,
+        0.906,
+        0.91,
+        0.912,
+        0.9145,
+        0.909,
+        0.9145,
+        0.915,
+        0.914,
+        0.9095,
+        0.913,
+        0.909,
+        0.912,
+        0.915,
+        0.9135,
+        0.912,
+        0.9125,
+        0.915,
+        0.9125,
+        0.916,
+        0.9135,
+        0.912,
+        0.9135,
+        0.9145,
+        0.914,
+        0.913,
+        0.914,
+        0.9135,
+        0.9125,
+        0.9125,
+        0.912,
+        0.912,
+        0.9135,
+        0.913,
+        0.913,
+        0.9135,
+        0.914,
+        0.914,
+        0.914,
+        0.914
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8855119943618774,
+        0.8700143098831177
+      ],
+      "perturbation_rho": [
+        0.9999988079071045,
+        0.9999958276748657
+      ],
+      "nudging": {
+        "0.001": [
+          -0.025924552232027054,
+          -0.009314566850662231
+        ],
+        "0.003": [
+          -0.06999024748802185,
+          -0.026958726346492767
+        ],
+        "0.01": [
+          -0.16111940145492554,
+          -0.07906024903059006
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.283660962677002,
+        1.585267567062378,
+        0.9385803462982177,
+        0.6367190747261048,
+        0.49448280506134035,
+        0.4259012367725372,
+        0.39124873666763305,
+        0.38015281138420104,
+        0.37522998003959657,
+        0.3701688726902008,
+        0.37803883278369904,
+        0.39746112833023073,
+        0.3802763431549072,
+        0.3912481979370117,
+        0.4047987679004669,
+        0.4151992503881454,
+        0.4170101192951202,
+        0.42453424332141876,
+        0.4173937663078308,
+        0.43686163773536685,
+        0.42365531826019287,
+        0.42363426294326784,
+        0.4208437828063965,
+        0.4529822621464729,
+        0.4070855083465576,
+        0.4689378917694092,
+        0.4634589358329773,
+        0.4367367925167084,
+        0.4250321800231934,
+        0.4287016040802002,
+        0.4584434572219849,
+        0.44194866588115694,
+        0.4174223184347153,
+        0.44547443580627444,
+        0.46664287486076356,
+        0.4065489921808243,
+        0.4331810564517975,
+        0.42899156646728515,
+        0.5209377204418182,
+        0.4371390515804291,
+        0.4179263119697571,
+        0.40993842480182646,
+        0.4559203372001648,
+        0.40942260138988495,
+        0.3948855718612671,
+        0.4338044833183289,
+        0.4061251772403717,
+        0.4279718475818634,
+        0.4087572427749634,
+        0.4140715950973332,
+        0.38019427223205565,
+        0.4078751751422882,
+        0.383210799074173,
+        0.38765000307559966,
+        0.37216824359893796,
+        0.41562538146972655,
+        0.382677834546566,
+        0.3672296663284302,
+        0.3730851769924164,
+        0.3590498920440674,
+        0.36640932368040086,
+        0.35998264112472533,
+        0.36020482025146483,
+        0.35171630606651305,
+        0.35406614532470704,
+        0.35089321160316467,
+        0.3469816573232412,
+        0.34033540658950806,
+        0.3445661533117294,
+        0.34326147508621213,
+        0.3389697380542755,
+        0.3388423357963562,
+        0.33665650494098665,
+        0.33594908571243287,
+        0.33628645095825194,
+        0.3349286338806152,
+        0.3339044927597046,
+        0.3329299204826355,
+        0.33245518345832825,
+        0.3322625407218933
+      ],
+      "train_acc": [
+        0.1556,
+        0.4765,
+        0.6797,
+        0.7739,
+        0.8177,
+        0.8382,
+        0.8504,
+        0.8549,
+        0.8578,
+        0.8611,
+        0.8564,
+        0.8512,
+        0.863,
+        0.8611,
+        0.8578,
+        0.8551,
+        0.8564,
+        0.8549,
+        0.8564,
+        0.8552,
+        0.8586,
+        0.8599,
+        0.8615,
+        0.8542,
+        0.861,
+        0.8548,
+        0.8554,
+        0.8602,
+        0.8653,
+        0.8605,
+        0.8558,
+        0.8606,
+        0.865,
+        0.8578,
+        0.8578,
+        0.8691,
+        0.8625,
+        0.8631,
+        0.8471,
+        0.8608,
+        0.8684,
+        0.8681,
+        0.8555,
+        0.871,
+        0.8725,
+        0.8647,
+        0.8679,
+        0.8651,
+        0.8667,
+        0.8681,
+        0.8756,
+        0.867,
+        0.8762,
+        0.8754,
+        0.8796,
+        0.8686,
+        0.8744,
+        0.8788,
+        0.878,
+        0.8809,
+        0.8807,
+        0.8805,
+        0.8801,
+        0.8841,
+        0.8834,
+        0.8841,
+        0.8849,
+        0.8869,
+        0.886,
+        0.8853,
+        0.8881,
+        0.8862,
+        0.8874,
+        0.8873,
+        0.8878,
+        0.8885,
+        0.8897,
+        0.8895,
+        0.8893,
+        0.8889
+      ],
+      "test_acc": [
+        0.3075,
+        0.5895,
+        0.7175,
+        0.763,
+        0.794,
+        0.803,
+        0.8195,
+        0.8175,
+        0.814,
+        0.8145,
+        0.8165,
+        0.8235,
+        0.8225,
+        0.8215,
+        0.815,
+        0.8135,
+        0.8255,
+        0.817,
+        0.817,
+        0.8195,
+        0.8075,
+        0.8145,
+        0.817,
+        0.824,
+        0.7985,
+        0.8095,
+        0.8085,
+        0.819,
+        0.8165,
+        0.814,
+        0.826,
+        0.821,
+        0.828,
+        0.8205,
+        0.829,
+        0.8335,
+        0.82,
+        0.824,
+        0.8205,
+        0.8235,
+        0.8255,
+        0.8195,
+        0.832,
+        0.8435,
+        0.8155,
+        0.8275,
+        0.827,
+        0.8165,
+        0.8215,
+        0.833,
+        0.83,
+        0.8285,
+        0.8345,
+        0.827,
+        0.8315,
+        0.836,
+        0.8335,
+        0.8405,
+        0.8355,
+        0.836,
+        0.8375,
+        0.838,
+        0.8395,
+        0.836,
+        0.841,
+        0.8405,
+        0.838,
+        0.836,
+        0.8385,
+        0.8395,
+        0.8355,
+        0.839,
+        0.841,
+        0.838,
+        0.841,
+        0.8415,
+        0.8415,
+        0.842,
+        0.842,
+        0.842
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.015632983297109604,
+        0.08371198177337646
+      ],
+      "perturbation_rho": [
+        -0.06864285469055176,
+        0.1325663924217224
+      ],
+      "nudging": {
+        "0.001": [
+          -0.000759319169446826,
+          -0.0003429622738622129
+        ],
+        "0.003": [
+          -0.002224094932898879,
+          -0.0010281240101903677
+        ],
+        "0.01": [
+          -0.006782663054764271,
+          -0.003414375241845846
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        2.0607079202651977,
+        1.1337099237442017,
+        0.647877628993988,
+        0.4504327066421509,
+        0.3940727692604065,
+        0.3723359739303589,
+        0.3689178777933121,
+        0.3625231744766235,
+        0.35998505368232725,
+        0.35867741174697876,
+        0.3579361547470093,
+        0.35106793417930604,
+        0.34446446766853334,
+        0.3474297195911408,
+        0.3416134696006775,
+        0.345831178188324,
+        0.3566520956993103,
+        0.36237930603027346,
+        0.3771623134613037,
+        0.3816791586399078,
+        0.39025780296325685,
+        0.3933836591720581,
+        0.4161139528751373,
+        0.4057706892967224,
+        0.3918828906059265,
+        0.3976308813095093,
+        0.3874743386268616,
+        0.38788036189079284,
+        0.3851133870601654,
+        0.3756926311016083,
+        0.3775329941749573,
+        0.3970633387565613,
+        0.4137820346355438,
+        0.3905292279243469,
+        0.40476176710128786,
+        0.41149664545059206,
+        0.4037230536460876,
+        0.44066204071044923,
+        0.41780310134887694,
+        0.4295464913368225,
+        0.42649631886482237,
+        0.4284087491989136,
+        0.4360576012611389,
+        0.44457482340335847,
+        0.4401917548656464,
+        0.43505805568695066,
+        0.44327515368461606,
+        0.4325465172767639,
+        0.43232013721466067,
+        0.4275367980480194,
+        0.427516703081131,
+        0.4204970709323883,
+        0.41822126712799074,
+        0.4155596286773682,
+        0.4231887112617493,
+        0.4155136170387268,
+        0.40704256649017334,
+        0.40344800395965574,
+        0.40768413548469545,
+        0.4017280409812927,
+        0.3982292408466339,
+        0.39725692327022555,
+        0.39136295738220217,
+        0.3908126180648804,
+        0.39189315357208254,
+        0.3870381077766418,
+        0.3879516251564026,
+        0.3833280053138733,
+        0.38215707620978356,
+        0.3819090251922607,
+        0.37943741810321807,
+        0.3780518521785736,
+        0.3775427331447601,
+        0.37716020322442056,
+        0.3760606771469116,
+        0.37568101379871366,
+        0.37528624348640444,
+        0.3750066729545593,
+        0.37472169427871704,
+        0.37465501019954683
+      ],
+      "train_acc": [
+        0.2642,
+        0.6184,
+        0.7763,
+        0.8422,
+        0.8529,
+        0.8584,
+        0.8561,
+        0.8627,
+        0.8625,
+        0.8624,
+        0.866,
+        0.8646,
+        0.8708,
+        0.8681,
+        0.8686,
+        0.8658,
+        0.8625,
+        0.861,
+        0.8542,
+        0.8492,
+        0.8519,
+        0.849,
+        0.8451,
+        0.849,
+        0.8487,
+        0.8491,
+        0.8527,
+        0.853,
+        0.8523,
+        0.8552,
+        0.8557,
+        0.8487,
+        0.8438,
+        0.854,
+        0.8489,
+        0.849,
+        0.8503,
+        0.8455,
+        0.8514,
+        0.8453,
+        0.8493,
+        0.8484,
+        0.8465,
+        0.8434,
+        0.8478,
+        0.8538,
+        0.8475,
+        0.8494,
+        0.8548,
+        0.8534,
+        0.8525,
+        0.8562,
+        0.8564,
+        0.8563,
+        0.8544,
+        0.8563,
+        0.8584,
+        0.8601,
+        0.8585,
+        0.8604,
+        0.8637,
+        0.8612,
+        0.8637,
+        0.8637,
+        0.8626,
+        0.8657,
+        0.8646,
+        0.8662,
+        0.8666,
+        0.8676,
+        0.8676,
+        0.868,
+        0.8692,
+        0.8698,
+        0.8692,
+        0.8703,
+        0.8696,
+        0.8702,
+        0.8703,
+        0.87
+      ],
+      "test_acc": [
+        0.514,
+        0.7025,
+        0.788,
+        0.8215,
+        0.826,
+        0.8235,
+        0.8205,
+        0.824,
+        0.824,
+        0.8265,
+        0.8285,
+        0.8265,
+        0.8315,
+        0.832,
+        0.8335,
+        0.8255,
+        0.8315,
+        0.822,
+        0.808,
+        0.8155,
+        0.8105,
+        0.818,
+        0.818,
+        0.813,
+        0.808,
+        0.8085,
+        0.813,
+        0.811,
+        0.811,
+        0.81,
+        0.8165,
+        0.794,
+        0.803,
+        0.8115,
+        0.7995,
+        0.82,
+        0.81,
+        0.8005,
+        0.798,
+        0.806,
+        0.806,
+        0.815,
+        0.809,
+        0.806,
+        0.807,
+        0.8095,
+        0.813,
+        0.809,
+        0.804,
+        0.811,
+        0.8095,
+        0.804,
+        0.8075,
+        0.8085,
+        0.8125,
+        0.8055,
+        0.8125,
+        0.8085,
+        0.812,
+        0.8135,
+        0.809,
+        0.815,
+        0.8085,
+        0.8145,
+        0.814,
+        0.8155,
+        0.816,
+        0.8175,
+        0.814,
+        0.8135,
+        0.817,
+        0.8155,
+        0.8155,
+        0.8155,
+        0.817,
+        0.8175,
+        0.8175,
+        0.8175,
+        0.817,
+        0.817
+      ],
+      "state_pred_error": [
+        0.7975846492767334,
+        0.34740002810955045,
+        0.20626533489227294,
+        0.1688566227912903,
+        0.14969556045532226,
+        0.12686697702407837,
+        0.10258943965435029,
+        0.08248359158039092,
+        0.06579203307628631,
+        0.05322268953919411,
+        0.043497616136074065,
+        0.03624378236830234,
+        0.03155959424376488,
+        0.027837770199775697,
+        0.025018838441371916,
+        0.02305573586821556,
+        0.021030399315059185,
+        0.01895637398958206,
+        0.01772472830414772,
+        0.01661195346415043,
+        0.01626126909852028,
+        0.014910457614064216,
+        0.014206837660074235,
+        0.013685992537438869,
+        0.012581391307711602,
+        0.011982576858997345,
+        0.011717106333374977,
+        0.010968378871679306,
+        0.010795737752318383,
+        0.010089151945710181,
+        0.009628403913974761,
+        0.009443067149817944,
+        0.00910616643279791,
+        0.008941967545449734,
+        0.00865904248803854,
+        0.008406908518075943,
+        0.008553840538859367,
+        0.00796011516302824,
+        0.007852698883414269,
+        0.007530789855122566,
+        0.007451776137948036,
+        0.007600892862677574,
+        0.007261194361746311,
+        0.0070939825333654885,
+        0.006930866247415543,
+        0.0068556764483451845,
+        0.0068909044548869135,
+        0.006718636322021484,
+        0.006451771011948586,
+        0.0070287389852106575,
+        0.006461447269469499,
+        0.006300677789747715,
+        0.006042939915508032,
+        0.005973925769329071,
+        0.005834758894145488,
+        0.005728140544891357,
+        0.005655132710933685,
+        0.005581422328203916,
+        0.005619841815531254,
+        0.005785556498169899,
+        0.005324072232097387,
+        0.005209432889521122,
+        0.005334047742933035,
+        0.0049825638897717,
+        0.004983069800212979,
+        0.005002294857800007,
+        0.004794969267398119,
+        0.005065754823386669,
+        0.004756338292360306,
+        0.004534189984947443,
+        0.004653947391360998,
+        0.004516961539536715,
+        0.004383903432264924,
+        0.004468173056840896,
+        0.004392227964103222,
+        0.004369974558800459,
+        0.00410505149140954,
+        0.00409513374119997,
+        0.004069356556236744,
+        0.004237433210760355
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9367842674255371,
+        0.5052818059921265
+      ],
+      "perturbation_rho": [
+        0.846778392791748,
+        0.5373459458351135
+      ],
+      "nudging": {
+        "0.001": [
+          -0.028559191152453423,
+          -0.0038118986412882805
+        ],
+        "0.003": [
+          -0.08209788799285889,
+          -0.011376685462892056
+        ],
+        "0.01": [
+          -0.23458413779735565,
+          -0.037239424884319305
+        ]
+      },
+      "state_pred_error_per_layer": [
+        626.5816650390625,
+        277.74237060546875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2841781162261965,
+        1.5920361112594605,
+        0.9420625007629394,
+        0.6396594805717468,
+        0.49837059326171873,
+        0.4280559380531311,
+        0.3917586740493774,
+        0.3806812261581421,
+        0.37738553323745727,
+        0.3776072946548462,
+        0.39090942087173464,
+        0.3836580893516541,
+        0.39848621730804445,
+        0.39414596700668336,
+        0.4033576976776123,
+        0.3954726212978363,
+        0.4113054138183594,
+        0.43227349529266357,
+        0.4576970805168152,
+        0.4727818874359131,
+        0.4911901863098145,
+        0.5089909892082214,
+        0.5091109822273254,
+        0.5419316413879395,
+        0.5682882654190063,
+        0.5794619635105133,
+        0.5945024296760559,
+        0.575393883895874,
+        0.6467625747680664,
+        0.6348539002418518,
+        0.6088227634429931,
+        0.6139724615097046,
+        0.6312180225372315,
+        0.6856759313583374,
+        0.7260684799194336,
+        0.6503768898010254,
+        0.660949840927124,
+        0.6826682937622071,
+        0.6994050893783569,
+        0.6910303967475891,
+        0.7174594877243042,
+        0.7371259686946869,
+        0.7537702695846558,
+        0.7966553500175476,
+        0.7427541831970215,
+        0.7614833879470825,
+        0.756250295829773,
+        0.7880895990371705,
+        0.7913369228363037,
+        0.7729651657104493,
+        0.7882836460113526,
+        0.8180274720668793,
+        0.7788889380455017,
+        0.7948621809005737,
+        0.7926133176803589,
+        0.8024183307647705,
+        0.8282989875793457,
+        0.8377448230743408,
+        0.8504006636619568,
+        0.8477847335815429,
+        0.8469767751693725,
+        0.8446590083122253,
+        0.8462727046012879,
+        0.8549996006011963,
+        0.8553122864723206,
+        0.8556031386375427,
+        0.854762883234024,
+        0.8593242017745971,
+        0.8556238237857818,
+        0.8551858370780945,
+        0.8575570917129517,
+        0.8572792016983032,
+        0.8553469423294068,
+        0.8568584102630615,
+        0.856532636642456,
+        0.8546321733474731,
+        0.8542901330947876,
+        0.8537617067337037,
+        0.8532746227264404,
+        0.8529878778457641
+      ],
+      "train_acc": [
+        0.1573,
+        0.4756,
+        0.6808,
+        0.7749,
+        0.8136,
+        0.836,
+        0.85,
+        0.8511,
+        0.8553,
+        0.8572,
+        0.8527,
+        0.8593,
+        0.8568,
+        0.8573,
+        0.8619,
+        0.8616,
+        0.8571,
+        0.8516,
+        0.8481,
+        0.845,
+        0.8362,
+        0.8339,
+        0.8298,
+        0.8249,
+        0.8137,
+        0.8071,
+        0.7982,
+        0.8014,
+        0.7849,
+        0.7847,
+        0.7893,
+        0.7842,
+        0.7828,
+        0.7569,
+        0.7527,
+        0.7649,
+        0.7617,
+        0.7532,
+        0.7476,
+        0.7466,
+        0.737,
+        0.7329,
+        0.7298,
+        0.7183,
+        0.7324,
+        0.7276,
+        0.7238,
+        0.7159,
+        0.7157,
+        0.7208,
+        0.7177,
+        0.7101,
+        0.7191,
+        0.7112,
+        0.7126,
+        0.712,
+        0.708,
+        0.703,
+        0.7009,
+        0.6985,
+        0.7014,
+        0.6962,
+        0.7016,
+        0.6946,
+        0.6952,
+        0.6951,
+        0.6993,
+        0.6922,
+        0.6964,
+        0.6993,
+        0.6947,
+        0.6965,
+        0.6976,
+        0.6974,
+        0.6963,
+        0.6979,
+        0.6976,
+        0.6964,
+        0.6969,
+        0.6966
+      ],
+      "test_acc": [
+        0.3095,
+        0.579,
+        0.7105,
+        0.771,
+        0.793,
+        0.81,
+        0.813,
+        0.8145,
+        0.811,
+        0.8295,
+        0.819,
+        0.811,
+        0.812,
+        0.8205,
+        0.8205,
+        0.811,
+        0.816,
+        0.818,
+        0.8055,
+        0.8055,
+        0.807,
+        0.794,
+        0.7805,
+        0.7755,
+        0.7695,
+        0.773,
+        0.763,
+        0.741,
+        0.7355,
+        0.727,
+        0.731,
+        0.7175,
+        0.6985,
+        0.7145,
+        0.7185,
+        0.716,
+        0.717,
+        0.7085,
+        0.699,
+        0.695,
+        0.697,
+        0.687,
+        0.701,
+        0.692,
+        0.6795,
+        0.683,
+        0.672,
+        0.6625,
+        0.691,
+        0.682,
+        0.6745,
+        0.6805,
+        0.67,
+        0.6715,
+        0.6805,
+        0.6615,
+        0.668,
+        0.655,
+        0.6685,
+        0.6685,
+        0.6745,
+        0.665,
+        0.666,
+        0.671,
+        0.6685,
+        0.668,
+        0.6685,
+        0.6655,
+        0.6655,
+        0.666,
+        0.6695,
+        0.6655,
+        0.6675,
+        0.669,
+        0.667,
+        0.667,
+        0.668,
+        0.6685,
+        0.6685,
+        0.6685
+      ],
+      "value_loss": [
+        3.183600161743164,
+        0.7750385164260865,
+        0.6228227703094482,
+        0.5807541069030762,
+        0.5056938434600831,
+        0.48559383153915403,
+        0.48110757327079773,
+        0.49592300415039064,
+        0.5289546810626984,
+        0.5474359282016754,
+        0.5586690468311309,
+        0.5815468026161194,
+        0.5854624471187592,
+        0.6134045516014099,
+        0.6397341026306153,
+        0.5935072565078735,
+        0.6474540725708008,
+        0.7058132423877717,
+        0.7731063194274902,
+        0.7794260215759278,
+        0.759508763885498,
+        0.8077074721336365,
+        0.7146338634490966,
+        0.8551284119606019,
+        0.8034313897132873,
+        0.7595964660644531,
+        0.7274619615554809,
+        0.6701016593933106,
+        0.7542770774841309,
+        0.6366281832695008,
+        0.5932489609718323,
+        0.5439536237716674,
+        0.5317693880081177,
+        0.5851134353637696,
+        0.6304749866485596,
+        0.48910887274742126,
+        0.48204327812194825,
+        0.4742885886192322,
+        0.5095871998548508,
+        0.4672426800251007,
+        0.4669731388092041,
+        0.5084928925275802,
+        0.4811704207420349,
+        0.5370424214363099,
+        0.4818318892478943,
+        0.46692917881011964,
+        0.4602645688056946,
+        0.5055856050491333,
+        0.47017913327217103,
+        0.44230168209075926,
+        0.4720217893600464,
+        0.48523768539428713,
+        0.4182536519050598,
+        0.45286598148345947,
+        0.4380767108917236,
+        0.44022146463394163,
+        0.4837879237651825,
+        0.4790394123077393,
+        0.49754595942497254,
+        0.4781929668426514,
+        0.47548961482048036,
+        0.49705342779159545,
+        0.46111058979034425,
+        0.47314323959350585,
+        0.471123362159729,
+        0.4637605622768402,
+        0.45161292238235473,
+        0.4605647190570831,
+        0.44299064745903016,
+        0.43606283235549925,
+        0.4616440633773804,
+        0.4356783237457275,
+        0.4435445850849152,
+        0.4211894090652466,
+        0.4348035490036011,
+        0.43359944195747374,
+        0.44066416525840757,
+        0.41140582780838014,
+        0.4257257164001465,
+        0.4186974630832672
+      ],
+      "term_loss": [
+        1.8026321507453917,
+        0.3518428315162659,
+        0.37675947713851926,
+        0.38276648654937745,
+        0.32057882099151613,
+        0.3065270788550377,
+        0.30243567395210263,
+        0.32378246574401853,
+        0.3653831358909607,
+        0.38932991545200346,
+        0.39687480373382567,
+        0.42393954174518583,
+        0.4242467020750046,
+        0.4532722057342529,
+        0.4773832442760467,
+        0.4362155035972595,
+        0.486022850227356,
+        0.5338006882667542,
+        0.5966757208347321,
+        0.5939437051773071,
+        0.5678820415496826,
+        0.6060017887592316,
+        0.5143427636623382,
+        0.6467780996322632,
+        0.5846465341091156,
+        0.5283182467222214,
+        0.4983976370334625,
+        0.44641116333007813,
+        0.5112490447998047,
+        0.3977337556183338,
+        0.3648644490003586,
+        0.31504709310531614,
+        0.30084985260963437,
+        0.3288579341888428,
+        0.3635549578666687,
+        0.24613730195462705,
+        0.23489424538612366,
+        0.22370255022048952,
+        0.25498708676695825,
+        0.20941324164271355,
+        0.20957557492256165,
+        0.23416928594112396,
+        0.21175098605155945,
+        0.2531614188194275,
+        0.20988761026859284,
+        0.18880151594877242,
+        0.18631615471839905,
+        0.21227661232948303,
+        0.18683922771811484,
+        0.16496461772918702,
+        0.1820032048225403,
+        0.19443978843688964,
+        0.1429014762878418,
+        0.16745004987716675,
+        0.1578450297355652,
+        0.1553781552016735,
+        0.18760945184230804,
+        0.1851514247894287,
+        0.20025430124998092,
+        0.1819072727203369,
+        0.17955903453826905,
+        0.19871407819390297,
+        0.16792754082679748,
+        0.17481803393363954,
+        0.17089381370544435,
+        0.1689176040560007,
+        0.15707939043045044,
+        0.16704212747812272,
+        0.1522603622496128,
+        0.14507856206297876,
+        0.1677186560511589,
+        0.14509016184806825,
+        0.1506106904104352,
+        0.13293324483036995,
+        0.14293194253444672,
+        0.1427909223496914,
+        0.14778699822425842,
+        0.12496376402378083,
+        0.13453806335926055,
+        0.13192469900846482
+      ],
+      "bridge_loss": [
+        1.086148412281787,
+        0.1292816480755806,
+        0.02697447990477085,
+        0.008380569902062415,
+        0.014730357018113135,
+        0.02233964946269989,
+        0.027988237404823302,
+        0.023968446946144105,
+        0.01585049637556076,
+        0.011189098839461804,
+        0.010882902494072914,
+        0.010902717466652393,
+        0.01232607362344861,
+        0.013465753997862338,
+        0.015195865526795388,
+        0.014546262636780738,
+        0.014874154400080443,
+        0.01984240630865097,
+        0.019618313241004944,
+        0.024393686729669573,
+        0.024060676431655884,
+        0.029791050812602044,
+        0.02654157394170761,
+        0.028435604375600814,
+        0.03134429958462715,
+        0.038252703151106834,
+        0.031379878085851666,
+        0.02969111566543579,
+        0.03346356704235077,
+        0.029296788448095322,
+        0.02688776364326477,
+        0.024821505990624427,
+        0.02414622390270233,
+        0.029408053064346313,
+        0.03269558168053627,
+        0.02531407674998045,
+        0.026356512427330017,
+        0.023581733375787735,
+        0.024556355768442156,
+        0.027951345092058183,
+        0.022370386198163034,
+        0.03287668476700783,
+        0.025288420939445496,
+        0.031219502943754196,
+        0.02888429069519043,
+        0.030735591688752173,
+        0.02735620730817318,
+        0.03810946992039681,
+        0.028575557655096055,
+        0.02718697527050972,
+        0.03519773906469345,
+        0.028369852031767367,
+        0.024919191813468935,
+        0.02968004021644592,
+        0.02626986500620842,
+        0.02845469582825899,
+        0.03466393163204193,
+        0.03076643509864807,
+        0.030355132931470873,
+        0.030078389501571656,
+        0.029866657304763795,
+        0.03281264351382852,
+        0.028423517215251923,
+        0.030412553095817568,
+        0.03361335833966732,
+        0.02742235606312752,
+        0.028246861313283442,
+        0.026277213674783705,
+        0.024521710814535618,
+        0.026038313943147658,
+        0.027685920548439026,
+        0.024189958955347538,
+        0.028101330828666688,
+        0.023092676632106304,
+        0.026744831919670104,
+        0.026103598928451537,
+        0.027902939324080944,
+        0.021766479524970055,
+        0.027076039123535157,
+        0.02328252377510071
+      ],
+      "tgrad_loss": [
+        0.294819629573822,
+        0.2939140326499939,
+        0.219088809299469,
+        0.18960705118179322,
+        0.17038466613292694,
+        0.15672710111141205,
+        0.15068366177082063,
+        0.14817209043502808,
+        0.1477210487008095,
+        0.1469169137120247,
+        0.15091134042739868,
+        0.14670454227924348,
+        0.14888966951966287,
+        0.14666659691333772,
+        0.14715499559640885,
+        0.14274549129009248,
+        0.1465570687055588,
+        0.1521701454281807,
+        0.15681228353977203,
+        0.16108862676620483,
+        0.16756604113578796,
+        0.17191463656425476,
+        0.17374952573776245,
+        0.17991471261978148,
+        0.1874405568599701,
+        0.19302551550865174,
+        0.19768444393873214,
+        0.193999383020401,
+        0.20956446123123168,
+        0.20959763660430908,
+        0.20149674859046937,
+        0.2040850329399109,
+        0.20677331829071044,
+        0.2268474468231201,
+        0.2342244486808777,
+        0.21765749232769013,
+        0.22079251861572266,
+        0.22700430588722229,
+        0.2300437501192093,
+        0.229878093290329,
+        0.23502717609405518,
+        0.2414469205379486,
+        0.24413101263046263,
+        0.25266150131225584,
+        0.24305998911857604,
+        0.24739206635951996,
+        0.24659220705032348,
+        0.2551995223045349,
+        0.2547643501758575,
+        0.25015008878707884,
+        0.25482084245681763,
+        0.26242804205417636,
+        0.25043298604488373,
+        0.2557358948945999,
+        0.25396181850433347,
+        0.25638861246109007,
+        0.2615145419597626,
+        0.2631215545654297,
+        0.26693652296066284,
+        0.2662073058128357,
+        0.26606392068862916,
+        0.26552670979499815,
+        0.26475953006744385,
+        0.26791265106201173,
+        0.26661619596481323,
+        0.2674205995321274,
+        0.2662866680383682,
+        0.2672453787326813,
+        0.2662085753917694,
+        0.2649459549665451,
+        0.2662394880533218,
+        0.2663982018470764,
+        0.2648325638771057,
+        0.26516348662376404,
+        0.2651267763614655,
+        0.26470492310523985,
+        0.2649742301940918,
+        0.26467558369636535,
+        0.26411161279678347,
+        0.2634902417182922
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.13380715250968933,
+        0.28871580958366394
+      ],
+      "perturbation_rho": [
+        0.2647465467453003,
+        0.4448530077934265
+      ],
+      "nudging": {
+        "0.001": [
+          -0.007434769067913294,
+          -0.0024258592166006565
+        ],
+        "0.003": [
+          -0.022199923172593117,
+          -0.007270205765962601
+        ],
+        "0.01": [
+          -0.07276535779237747,
+          -0.024136800318956375
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L4_s123.json b/results/synth_ladder_v2_lo/synth_a0.25_L4_s123.json
new file mode 100644
index 0000000..76c8d7a
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L4_s123.json
@@ -0,0 +1,1554 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.4145605772018432,
+        0.4837885675907135,
+        0.3509865976333618,
+        0.3320046304702759,
+        0.3153838852882385,
+        0.26510489492416384,
+        0.29119865114092824,
+        0.23000359807014464,
+        0.25192048209905626,
+        0.22606405482292175,
+        0.22339799184799194,
+        0.24050125465393066,
+        0.21707800154685974,
+        0.24954306988716127,
+        0.23637027411460876,
+        0.21085137324333192,
+        0.19512076714038848,
+        0.17245010232925415,
+        0.1894634276986122,
+        0.1650419453382492,
+        0.1778180214881897,
+        0.21894844360351562,
+        0.19933833799362183,
+        0.1771628651380539,
+        0.1553717818260193,
+        0.1399657424926758,
+        0.14071936559677123,
+        0.1601772675037384,
+        0.13696529176235198,
+        0.14105643473863602,
+        0.13802141556739808,
+        0.16569645638465882,
+        0.12720199494361878,
+        0.14186724331378936,
+        0.11719292199611664,
+        0.11274782953262329,
+        0.12050781357288361,
+        0.10908292927742004,
+        0.10698790650367737,
+        0.10439169973134994,
+        0.09679698523283005,
+        0.10081665986776352,
+        0.09919646325707436,
+        0.09050822926163674,
+        0.08451937192380428,
+        0.08149686356782913,
+        0.08619351840019226,
+        0.08559241333007812,
+        0.08397664375305176,
+        0.08652843645811081,
+        0.08116253237724304,
+        0.08460511593818665,
+        0.07957250861525536,
+        0.07245188212394714,
+        0.07476602460145951,
+        0.07214559998512268,
+        0.06864421527385711,
+        0.06543551899790764,
+        0.06294125034213066,
+        0.06161921464204788,
+        0.06044542417526245,
+        0.05924299967288971,
+        0.05897243957519531,
+        0.05819726123511791,
+        0.05668298012018204,
+        0.057375379399955274,
+        0.055825320994853975,
+        0.05605454614162445,
+        0.05520648413896561,
+        0.05462213642001152,
+        0.05396175765991211,
+        0.05345057912766933,
+        0.05290921161174774,
+        0.05259452617168427,
+        0.052336494362354276,
+        0.05208745345771313,
+        0.051927010026574134,
+        0.05178932168483734,
+        0.05169431391954422,
+        0.05163790632486343
+      ],
+      "train_acc": [
+        0.5311,
+        0.8383,
+        0.8684,
+        0.8673,
+        0.8741,
+        0.8952,
+        0.885,
+        0.9126,
+        0.9,
+        0.9109,
+        0.9124,
+        0.903,
+        0.9143,
+        0.8996,
+        0.9057,
+        0.9155,
+        0.9265,
+        0.9344,
+        0.9234,
+        0.9368,
+        0.9274,
+        0.9132,
+        0.9217,
+        0.9312,
+        0.9425,
+        0.9491,
+        0.9462,
+        0.9374,
+        0.9484,
+        0.9474,
+        0.9492,
+        0.9317,
+        0.9533,
+        0.9466,
+        0.9565,
+        0.96,
+        0.9521,
+        0.962,
+        0.9643,
+        0.9634,
+        0.9697,
+        0.9658,
+        0.967,
+        0.9707,
+        0.9744,
+        0.976,
+        0.973,
+        0.9729,
+        0.9738,
+        0.9721,
+        0.974,
+        0.9728,
+        0.9765,
+        0.9806,
+        0.9788,
+        0.9807,
+        0.9819,
+        0.985,
+        0.9862,
+        0.9879,
+        0.9879,
+        0.9884,
+        0.9892,
+        0.9888,
+        0.9906,
+        0.9886,
+        0.9909,
+        0.9905,
+        0.9906,
+        0.9918,
+        0.9922,
+        0.9921,
+        0.9931,
+        0.9933,
+        0.9934,
+        0.994,
+        0.9938,
+        0.9942,
+        0.9942,
+        0.9942
+      ],
+      "test_acc": [
+        0.7885,
+        0.864,
+        0.864,
+        0.8825,
+        0.878,
+        0.8865,
+        0.881,
+        0.888,
+        0.881,
+        0.8775,
+        0.898,
+        0.894,
+        0.891,
+        0.885,
+        0.8865,
+        0.9005,
+        0.8945,
+        0.91,
+        0.8925,
+        0.9065,
+        0.901,
+        0.897,
+        0.895,
+        0.9,
+        0.9015,
+        0.9055,
+        0.91,
+        0.903,
+        0.908,
+        0.912,
+        0.9095,
+        0.902,
+        0.9105,
+        0.9025,
+        0.9115,
+        0.909,
+        0.9045,
+        0.913,
+        0.9035,
+        0.918,
+        0.912,
+        0.9045,
+        0.912,
+        0.9185,
+        0.9135,
+        0.9085,
+        0.914,
+        0.9175,
+        0.913,
+        0.915,
+        0.916,
+        0.9135,
+        0.916,
+        0.9145,
+        0.919,
+        0.918,
+        0.9195,
+        0.917,
+        0.919,
+        0.9155,
+        0.917,
+        0.9165,
+        0.917,
+        0.9195,
+        0.918,
+        0.9185,
+        0.917,
+        0.9175,
+        0.9155,
+        0.9165,
+        0.9175,
+        0.918,
+        0.918,
+        0.9175,
+        0.917,
+        0.9165,
+        0.917,
+        0.917,
+        0.917,
+        0.917
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8279672861099243,
+        0.8114954233169556,
+        0.7863935232162476,
+        0.7482712268829346
+      ],
+      "perturbation_rho": [
+        0.9999987483024597,
+        0.9999956488609314,
+        0.999983012676239,
+        0.9999275207519531
+      ],
+      "nudging": {
+        "0.001": [
+          -0.024539310485124588,
+          -0.011202658526599407,
+          -0.004987813998013735,
+          -0.0025163067039102316
+        ],
+        "0.003": [
+          -0.06480148434638977,
+          -0.031804408878088,
+          -0.014610698446631432,
+          -0.00745969545096159
+        ],
+        "0.01": [
+          -0.14138484001159668,
+          -0.08725307881832123,
+          -0.04476301744580269,
+          -0.023845836520195007
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.2260922397613525,
+        1.3989790941238402,
+        0.8063462790489196,
+        0.5810352697372436,
+        0.4776177051544189,
+        0.4156474907875061,
+        0.40407221131324766,
+        0.3906784576416016,
+        0.4220227051138878,
+        0.408127818775177,
+        0.48602376890182497,
+        0.4391589762687683,
+        0.4726590826034546,
+        0.45469081001281736,
+        0.46395344314575193,
+        0.641008736038208,
+        0.4606993099212646,
+        0.48619530363082886,
+        0.6209182878494263,
+        0.579438009929657,
+        0.5570708718299866,
+        0.6080478384017944,
+        0.5757816455364227,
+        0.5000022046089172,
+        0.554708060836792,
+        0.6522365891456604,
+        0.5476735515594482,
+        0.7547416234016419,
+        0.5390356698989868,
+        0.5642839532852173,
+        0.5649113851547242,
+        0.6092495996952056,
+        0.5237593853950501,
+        0.7170518593788147,
+        0.7146096199989319,
+        0.4854401762008667,
+        0.5638167533874512,
+        0.4516558566093445,
+        0.7109629370689392,
+        0.5448078726768494,
+        0.6100124780654907,
+        0.647748377609253,
+        0.5807090089797974,
+        0.5962627920150757,
+        0.4787724911212921,
+        0.44061123929023743,
+        0.45318230543136595,
+        0.4324454571247101,
+        0.48582389402389525,
+        0.48784693965911863,
+        0.4654889596939087,
+        0.4910616933822632,
+        0.44223530769348146,
+        0.4255864576339722,
+        0.43338484077453615,
+        0.40529030129909516,
+        0.3956596384048462,
+        0.41429238247871397,
+        0.4396337124347687,
+        0.396600995016098,
+        0.37550678915977476,
+        0.36028911843299866,
+        0.37281743416786195,
+        0.36315483593940734,
+        0.36328665294647217,
+        0.3824797859072685,
+        0.35487752180099486,
+        0.35909159870147705,
+        0.3572547873020172,
+        0.336571563911438,
+        0.34290257511138916,
+        0.3480034410953522,
+        0.3370935582637787,
+        0.33314969940185546,
+        0.33331610808372497,
+        0.3301537363290787,
+        0.3311965983390808,
+        0.3278242862701416,
+        0.32672062397003176,
+        0.32609617538452146
+      ],
+      "train_acc": [
+        0.1885,
+        0.5103,
+        0.7062,
+        0.7826,
+        0.8192,
+        0.8434,
+        0.8457,
+        0.8501,
+        0.8376,
+        0.8434,
+        0.8194,
+        0.8365,
+        0.8233,
+        0.8306,
+        0.8244,
+        0.7857,
+        0.8258,
+        0.8158,
+        0.7827,
+        0.7945,
+        0.8047,
+        0.7925,
+        0.7908,
+        0.8134,
+        0.797,
+        0.7749,
+        0.7952,
+        0.7653,
+        0.8022,
+        0.7932,
+        0.7963,
+        0.7798,
+        0.8089,
+        0.7659,
+        0.7638,
+        0.8216,
+        0.7988,
+        0.8301,
+        0.7648,
+        0.7997,
+        0.787,
+        0.7806,
+        0.7963,
+        0.7918,
+        0.8211,
+        0.8302,
+        0.8283,
+        0.8372,
+        0.8209,
+        0.8197,
+        0.8281,
+        0.823,
+        0.8352,
+        0.8373,
+        0.8393,
+        0.8439,
+        0.8478,
+        0.8453,
+        0.837,
+        0.8479,
+        0.8551,
+        0.86,
+        0.8595,
+        0.8613,
+        0.8576,
+        0.8564,
+        0.8631,
+        0.8603,
+        0.8618,
+        0.8703,
+        0.8667,
+        0.8674,
+        0.8688,
+        0.8719,
+        0.8714,
+        0.8698,
+        0.8719,
+        0.8732,
+        0.874,
+        0.8739
+      ],
+      "test_acc": [
+        0.3485,
+        0.642,
+        0.7375,
+        0.7915,
+        0.802,
+        0.7915,
+        0.807,
+        0.812,
+        0.804,
+        0.767,
+        0.8025,
+        0.79,
+        0.7975,
+        0.7715,
+        0.7125,
+        0.757,
+        0.7585,
+        0.665,
+        0.6875,
+        0.6805,
+        0.7355,
+        0.6705,
+        0.7525,
+        0.742,
+        0.6565,
+        0.727,
+        0.606,
+        0.6405,
+        0.7245,
+        0.7345,
+        0.715,
+        0.745,
+        0.6045,
+        0.578,
+        0.712,
+        0.7905,
+        0.733,
+        0.7005,
+        0.754,
+        0.681,
+        0.7345,
+        0.6195,
+        0.6645,
+        0.7995,
+        0.754,
+        0.72,
+        0.739,
+        0.7355,
+        0.7415,
+        0.752,
+        0.716,
+        0.742,
+        0.784,
+        0.688,
+        0.7865,
+        0.8035,
+        0.7615,
+        0.808,
+        0.796,
+        0.8005,
+        0.8245,
+        0.814,
+        0.823,
+        0.801,
+        0.806,
+        0.8105,
+        0.806,
+        0.806,
+        0.8265,
+        0.8235,
+        0.8115,
+        0.82,
+        0.8275,
+        0.823,
+        0.826,
+        0.8175,
+        0.8225,
+        0.8235,
+        0.8245,
+        0.824
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.030194921419024467,
+        0.3003618121147156,
+        0.18209302425384521,
+        0.12414582818746567
+      ],
+      "perturbation_rho": [
+        -0.038011275231838226,
+        0.29912513494491577,
+        0.1735759675502777,
+        0.14118143916130066
+      ],
+      "nudging": {
+        "0.001": [
+          0.0004484695091377944,
+          -0.0008491222397424281,
+          -0.0005047788145020604,
+          -0.0003660085494630039
+        ],
+        "0.003": [
+          0.001385596813634038,
+          -0.0025426694191992283,
+          -0.0015110077802091837,
+          -0.0010910483542829752
+        ],
+        "0.01": [
+          0.005076530389487743,
+          -0.00841662660241127,
+          -0.005011391825973988,
+          -0.0036195346619933844
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.8123929222106934,
+        0.7969598731994629,
+        0.4681823432445526,
+        0.4493808107376099,
+        0.4859991237640381,
+        0.5615512335777283,
+        0.6788585278511048,
+        0.769824936580658,
+        0.7635405010223388,
+        0.7253447900772094,
+        0.7080011105537415,
+        0.7129657225131989,
+        0.7468086644172669,
+        0.7786125428199768,
+        0.7598382493972778,
+        0.7637535655975342,
+        0.784446928024292,
+        0.791630249786377,
+        0.8042271808624267,
+        0.8116328013420105,
+        0.7919122304916382,
+        0.8624911094665527,
+        0.8134118410110474,
+        0.8004576719284058,
+        0.826051163482666,
+        0.7835210838317871,
+        0.8537725872993469,
+        0.8074887325286865,
+        0.7989932650566101,
+        0.7464404977798462,
+        0.7878874625682831,
+        0.7705603090286255,
+        0.8202200212478638,
+        0.7995859888076782,
+        0.8566022305488586,
+        0.8265386112213134,
+        0.8467596694946289,
+        0.8278987077713013,
+        0.839235195350647,
+        0.8700848264694214,
+        0.8941480784416199,
+        0.8706226264953614,
+        0.8077309101104736,
+        0.8231417049407959,
+        0.8741218314170838,
+        0.8338860015869141,
+        0.7885824256896973,
+        0.7956271339416504,
+        0.7766273180007934,
+        0.7837719497680664,
+        0.7901550762176514,
+        0.7942577618598938,
+        0.7556007875442505,
+        0.7318876386642456,
+        0.7315496717453003,
+        0.7372453187942505,
+        0.7162431858062744,
+        0.7204227170467377,
+        0.7074315301895142,
+        0.7244995565414428,
+        0.7033161953926086,
+        0.6938653470993043,
+        0.7081535718917846,
+        0.6887570705413818,
+        0.6773336295127869,
+        0.6713978358268737,
+        0.6677473924636841,
+        0.6675515371322632,
+        0.6589781717300415,
+        0.6592945998191834,
+        0.6567529281616211,
+        0.6525886249542237,
+        0.6496815184593201,
+        0.6495527265548706,
+        0.6473081888198853,
+        0.6461846683502197,
+        0.6442305462837219,
+        0.6443143812179566,
+        0.6430024762630463,
+        0.642762578868866
+      ],
+      "train_acc": [
+        0.3465,
+        0.7012,
+        0.8236,
+        0.8291,
+        0.8176,
+        0.8032,
+        0.7708,
+        0.7513,
+        0.7483,
+        0.7484,
+        0.7417,
+        0.74,
+        0.7308,
+        0.7243,
+        0.7347,
+        0.7333,
+        0.7311,
+        0.7299,
+        0.7266,
+        0.7204,
+        0.732,
+        0.7169,
+        0.7258,
+        0.7261,
+        0.7164,
+        0.7349,
+        0.7103,
+        0.7278,
+        0.7384,
+        0.7499,
+        0.7403,
+        0.7424,
+        0.736,
+        0.7367,
+        0.7227,
+        0.7313,
+        0.7293,
+        0.7359,
+        0.7336,
+        0.7305,
+        0.7218,
+        0.7235,
+        0.7413,
+        0.7317,
+        0.7181,
+        0.726,
+        0.7331,
+        0.7324,
+        0.7392,
+        0.7341,
+        0.7313,
+        0.7293,
+        0.7439,
+        0.7451,
+        0.7482,
+        0.7447,
+        0.7498,
+        0.7466,
+        0.754,
+        0.7472,
+        0.7547,
+        0.7577,
+        0.7519,
+        0.7566,
+        0.7652,
+        0.7641,
+        0.7657,
+        0.7642,
+        0.767,
+        0.7672,
+        0.7684,
+        0.7686,
+        0.7703,
+        0.7693,
+        0.77,
+        0.7684,
+        0.7718,
+        0.771,
+        0.7711,
+        0.7713
+      ],
+      "test_acc": [
+        0.593,
+        0.771,
+        0.813,
+        0.8005,
+        0.7815,
+        0.753,
+        0.7255,
+        0.708,
+        0.739,
+        0.7295,
+        0.7435,
+        0.7325,
+        0.715,
+        0.698,
+        0.7005,
+        0.6945,
+        0.702,
+        0.6985,
+        0.6985,
+        0.711,
+        0.694,
+        0.695,
+        0.715,
+        0.6785,
+        0.6955,
+        0.646,
+        0.709,
+        0.699,
+        0.687,
+        0.711,
+        0.7145,
+        0.692,
+        0.6905,
+        0.6385,
+        0.676,
+        0.6885,
+        0.685,
+        0.694,
+        0.693,
+        0.663,
+        0.642,
+        0.6935,
+        0.6885,
+        0.673,
+        0.686,
+        0.6815,
+        0.693,
+        0.704,
+        0.686,
+        0.6805,
+        0.6965,
+        0.7025,
+        0.7115,
+        0.71,
+        0.706,
+        0.705,
+        0.7055,
+        0.7155,
+        0.709,
+        0.714,
+        0.7215,
+        0.72,
+        0.7195,
+        0.7185,
+        0.73,
+        0.725,
+        0.727,
+        0.723,
+        0.725,
+        0.7305,
+        0.7285,
+        0.7285,
+        0.728,
+        0.734,
+        0.733,
+        0.733,
+        0.734,
+        0.7325,
+        0.733,
+        0.733
+      ],
+      "state_pred_error": [
+        0.7424910880565644,
+        0.24538831996917726,
+        0.1696438634634018,
+        0.1582905143260956,
+        0.1631220199584961,
+        0.1723755702495575,
+        0.1831033411026001,
+        0.18637536973953248,
+        0.1819893986463547,
+        0.16733712508678436,
+        0.15095561995506288,
+        0.132748974442482,
+        0.11434644386768342,
+        0.09421088438034057,
+        0.08756505841016769,
+        0.08341595257520676,
+        0.0805468656539917,
+        0.07775743334293365,
+        0.07735535364151001,
+        0.07478679238557816,
+        0.06856273975372315,
+        0.06119619631767273,
+        0.05259707286357879,
+        0.04269158652424812,
+        0.03410064045786858,
+        0.027179633522033692,
+        0.023885729551315307,
+        0.021235701763629912,
+        0.02094485488831997,
+        0.02022430610358715,
+        0.01988106532692909,
+        0.01952715065330267,
+        0.019609414368867876,
+        0.020033554589748384,
+        0.020146991772949697,
+        0.01961232684701681,
+        0.01936790647506714,
+        0.019153894048929216,
+        0.01937529597133398,
+        0.018842387399077416,
+        0.018071847139298915,
+        0.017307695150375366,
+        0.016579271717369556,
+        0.01552603451013565,
+        0.015096754413843155,
+        0.013859699180722237,
+        0.012979740312695503,
+        0.012281061121821403,
+        0.011574527004361153,
+        0.010909687869250775,
+        0.010257076373696328,
+        0.009821538998931647,
+        0.009271138358861208,
+        0.008785224071145058,
+        0.008230697739124299,
+        0.007849063183367252,
+        0.0074681182123720645,
+        0.007055782772600651,
+        0.0067631045818328855,
+        0.006486539483070373,
+        0.006212053466588259,
+        0.005942052242159843,
+        0.005858693596720695,
+        0.005584450083971023,
+        0.005323304799944162,
+        0.005180257834494114,
+        0.0050939571440219876,
+        0.004897539104521275,
+        0.004757686843723059,
+        0.004607934882491827,
+        0.004440061054006219,
+        0.004348039439320564,
+        0.004419275801628828,
+        0.0041590200409293175,
+        0.004140176199376583,
+        0.00423978632427752,
+        0.003907272329181433,
+        0.003829565724730492,
+        0.003753288455680013,
+        0.003695953545719385
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.821143627166748,
+        0.36722686886787415,
+        0.20176959037780762,
+        0.1750764548778534
+      ],
+      "perturbation_rho": [
+        0.6905952095985413,
+        0.36183467507362366,
+        0.19890159368515015,
+        0.15810276567935944
+      ],
+      "nudging": {
+        "0.001": [
+          -0.021994680166244507,
+          -0.0013722439762204885,
+          -0.0006841139402240515,
+          -0.0005768820992670953
+        ],
+        "0.003": [
+          -0.06444752216339111,
+          -0.00411063339561224,
+          -0.0020494144409894943,
+          -0.0017298792954534292
+        ],
+        "0.01": [
+          -0.1973220407962799,
+          -0.013631552457809448,
+          -0.0068134344182908535,
+          -0.0057535795494914055
+        ]
+      },
+      "state_pred_error_per_layer": [
+        3017.568359375,
+        2069.30517578125,
+        2103.28662109375,
+        1370.3270263671875
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2304506519317626,
+        1.3942056268692016,
+        0.8183312824249268,
+        0.5797962010383606,
+        0.4764002899169922,
+        0.4094866346359253,
+        0.4068061854362488,
+        0.38665450406074525,
+        0.3990870332241058,
+        0.4220907788276672,
+        0.496053104019165,
+        0.4371034680366516,
+        0.45066176986694334,
+        0.5061244255065918,
+        0.4739286370754242,
+        0.4944791939735413,
+        0.5044361748695374,
+        0.6503571970939637,
+        0.47436288118362424,
+        0.5432016505241394,
+        0.5854156719207764,
+        0.47859073028564453,
+        0.566104229259491,
+        0.6238331944465637,
+        0.6042083335876465,
+        0.7139152729034424,
+        0.6597491868972778,
+        0.6986511729240418,
+        0.6769212335586547,
+        0.7593953706741333,
+        0.7314193179130554,
+        0.7335153755187989,
+        0.7572157611846924,
+        0.7321065183639527,
+        0.7649673822879791,
+        0.6976259819984436,
+        0.7286087586402893,
+        0.7189216842651367,
+        0.7617496681213379,
+        0.7480665018081665,
+        0.7844495740890502,
+        0.8273416324615479,
+        0.843971639251709,
+        0.8851293493270874,
+        0.8638077151298523,
+        0.8672280294895172,
+        0.8649810727119446,
+        0.8554271353721619,
+        0.8371897335052491,
+        0.8481480210304261,
+        0.8235589872360229,
+        0.8250558439731598,
+        0.821573218536377,
+        0.8396482845306397,
+        0.8538236341476441,
+        0.8500017461776733,
+        0.8449060009002686,
+        0.8542348052978516,
+        0.85397573928833,
+        0.8410406700134277,
+        0.8542406044006348,
+        0.8490435265541076,
+        0.8294786353111268,
+        0.8252912633419037,
+        0.8250881828308105,
+        0.8167968341827393,
+        0.8243150682449341,
+        0.810345893573761,
+        0.8054994924545288,
+        0.8062832556724548,
+        0.803090742111206,
+        0.7987750416755677,
+        0.8018800824165344,
+        0.7949400223731995,
+        0.7933959410667419,
+        0.7913647750854492,
+        0.7914622924804687,
+        0.7898741424560547,
+        0.7892889207839966,
+        0.7888304642677307
+      ],
+      "train_acc": [
+        0.192,
+        0.518,
+        0.7025,
+        0.7851,
+        0.8191,
+        0.8447,
+        0.8429,
+        0.8512,
+        0.8493,
+        0.8355,
+        0.8181,
+        0.8327,
+        0.8287,
+        0.8171,
+        0.8261,
+        0.8175,
+        0.8159,
+        0.7771,
+        0.8218,
+        0.803,
+        0.7916,
+        0.8252,
+        0.8046,
+        0.7807,
+        0.7822,
+        0.7604,
+        0.7775,
+        0.7722,
+        0.7831,
+        0.7659,
+        0.7596,
+        0.756,
+        0.7421,
+        0.7452,
+        0.7408,
+        0.7511,
+        0.7441,
+        0.744,
+        0.7328,
+        0.7355,
+        0.7311,
+        0.7234,
+        0.7211,
+        0.711,
+        0.7102,
+        0.7178,
+        0.7071,
+        0.7128,
+        0.7173,
+        0.7083,
+        0.7174,
+        0.7133,
+        0.7121,
+        0.7048,
+        0.7029,
+        0.7051,
+        0.7006,
+        0.7005,
+        0.6974,
+        0.7041,
+        0.696,
+        0.6999,
+        0.7074,
+        0.7052,
+        0.7056,
+        0.7099,
+        0.7086,
+        0.7113,
+        0.7112,
+        0.7122,
+        0.7124,
+        0.7142,
+        0.7134,
+        0.7167,
+        0.7134,
+        0.7162,
+        0.7182,
+        0.7158,
+        0.7159,
+        0.7162
+      ],
+      "test_acc": [
+        0.3505,
+        0.6215,
+        0.7385,
+        0.776,
+        0.8105,
+        0.819,
+        0.809,
+        0.811,
+        0.8155,
+        0.749,
+        0.796,
+        0.8045,
+        0.752,
+        0.729,
+        0.786,
+        0.7715,
+        0.6865,
+        0.72,
+        0.7255,
+        0.669,
+        0.778,
+        0.687,
+        0.7285,
+        0.7615,
+        0.734,
+        0.7575,
+        0.71,
+        0.777,
+        0.735,
+        0.744,
+        0.742,
+        0.701,
+        0.7025,
+        0.6955,
+        0.7175,
+        0.735,
+        0.693,
+        0.7025,
+        0.7245,
+        0.6985,
+        0.698,
+        0.716,
+        0.668,
+        0.6525,
+        0.695,
+        0.6575,
+        0.702,
+        0.7145,
+        0.7045,
+        0.705,
+        0.6925,
+        0.7065,
+        0.7,
+        0.6855,
+        0.7,
+        0.6935,
+        0.696,
+        0.6985,
+        0.685,
+        0.7045,
+        0.6975,
+        0.701,
+        0.6955,
+        0.7,
+        0.699,
+        0.699,
+        0.712,
+        0.7065,
+        0.7075,
+        0.7055,
+        0.71,
+        0.709,
+        0.705,
+        0.7095,
+        0.7125,
+        0.7095,
+        0.7105,
+        0.711,
+        0.71,
+        0.7085
+      ],
+      "value_loss": [
+        2.875565072822571,
+        0.8934291703224182,
+        0.7643266316890717,
+        0.6411794909477234,
+        0.5538642876625061,
+        0.5101048704147338,
+        0.5553470899581909,
+        0.4691417839050293,
+        0.4629878062009811,
+        0.555866827583313,
+        0.7427106724739074,
+        0.5367072154998779,
+        0.6318443626403809,
+        0.720150242805481,
+        0.6702281295776367,
+        0.6685273101329804,
+        0.7366531593322754,
+        1.1599597629070282,
+        0.6955488331794739,
+        0.8128993940353394,
+        0.9401766692161561,
+        0.7360081169128418,
+        0.9247368459701538,
+        0.9366291213035584,
+        0.850796000289917,
+        1.201850381565094,
+        1.087157346343994,
+        1.1369871886253358,
+        1.0918189323425294,
+        1.2658386784076692,
+        0.9737425192832947,
+        0.9713388110160828,
+        0.8103028650283813,
+        0.7689808444976807,
+        0.7541267780303955,
+        0.6178562547683716,
+        0.6552725201368332,
+        0.651333825969696,
+        0.6328555109381676,
+        0.6119258517742157,
+        0.6578858529090882,
+        0.7603759881734848,
+        0.7731849906921386,
+        0.8381655234336853,
+        0.7553952046990394,
+        0.7562767848968506,
+        0.7243463092803956,
+        0.6914454604864121,
+        0.7287011550903321,
+        0.7079713569641113,
+        0.5950203428268432,
+        0.61903060131073,
+        0.6206758731842041,
+        0.6741137755393982,
+        0.638280230140686,
+        0.5789763841867447,
+        0.5631655465126038,
+        0.6306552550315857,
+        0.5531370044708251,
+        0.5336048315048217,
+        0.6597217742919922,
+        0.5602773515224457,
+        0.550052008497715,
+        0.5294891984701157,
+        0.50927531375885,
+        0.5022766840934754,
+        0.5141903561592102,
+        0.4788236827850342,
+        0.46827283239364625,
+        0.44508712520599364,
+        0.4594296352863312,
+        0.4582284578323364,
+        0.47078573088645936,
+        0.4428159856557846,
+        0.45073776305913926,
+        0.440414612865448,
+        0.438992391872406,
+        0.44469812307357787,
+        0.4330620062351227,
+        0.44552071504592894
+      ],
+      "term_loss": [
+        1.6042461963653565,
+        0.5282565028190612,
+        0.5590828673362732,
+        0.47629781847000124,
+        0.3978954189300537,
+        0.3636821876525879,
+        0.4072596705198288,
+        0.3282800791442394,
+        0.32510876396894456,
+        0.4085556797027588,
+        0.5720677609920501,
+        0.38465584144592285,
+        0.47195274906158446,
+        0.5482156983375549,
+        0.5044927421092987,
+        0.49531292711496355,
+        0.5535180912971497,
+        0.928170532798767,
+        0.5174768854379654,
+        0.6144302132129669,
+        0.7212574210643768,
+        0.556490356349945,
+        0.7165425998687744,
+        0.7060825702667236,
+        0.6239088512420654,
+        0.9418239488124848,
+        0.8416530807495117,
+        0.8893139802455902,
+        0.851651100063324,
+        1.0026947542667388,
+        0.7173096209526062,
+        0.7091760641098023,
+        0.5505894849777222,
+        0.5145378706932068,
+        0.4895065601348877,
+        0.36691248669624327,
+        0.3942630385398865,
+        0.3903921950340271,
+        0.35521844633817673,
+        0.33440421884059907,
+        0.36932155704498293,
+        0.45691595553159714,
+        0.4697963525772095,
+        0.522415696144104,
+        0.4547668980836868,
+        0.4589268930077553,
+        0.42205919748544696,
+        0.3977071187138557,
+        0.42937303175926206,
+        0.41034482958316804,
+        0.3034935749053955,
+        0.3259772541999817,
+        0.3256353075265884,
+        0.3720514593601227,
+        0.3364347091197967,
+        0.2779531095802784,
+        0.2669277866601944,
+        0.33009841556549074,
+        0.2530543705701828,
+        0.24142619206905366,
+        0.35455005407333373,
+        0.26008426011800767,
+        0.25793272792994976,
+        0.23912566680461167,
+        0.2228550751209259,
+        0.21906529731750488,
+        0.2285044935464859,
+        0.19956185779571534,
+        0.1911724850535393,
+        0.16786679723262787,
+        0.18276870269179343,
+        0.18051835017204285,
+        0.19217048416137694,
+        0.16508175657987595,
+        0.17382024183571337,
+        0.16160465959310533,
+        0.16125739208459855,
+        0.1634468115568161,
+        0.15457683594822882,
+        0.1639193995475769
+      ],
+      "bridge_loss": [
+        0.9688761974389432,
+        0.09757226877212524,
+        0.012632294435054064,
+        0.006896629202365875,
+        0.016848481428623198,
+        0.02207008745521307,
+        0.022640679097175598,
+        0.017478782982379197,
+        0.010638495054841041,
+        0.0098322123169899,
+        0.011913983760774136,
+        0.00792585155069828,
+        0.009292545095086098,
+        0.009518902608752251,
+        0.008932905950024723,
+        0.009623992730677128,
+        0.010149495212733745,
+        0.01872984848022461,
+        0.014103599740564823,
+        0.012476106625795364,
+        0.021234536376595496,
+        0.015649695736169814,
+        0.018796107818186282,
+        0.017918908199667932,
+        0.01956285170018673,
+        0.02622278172969818,
+        0.026339271712303162,
+        0.020386182287335394,
+        0.023761410945653916,
+        0.027614238518476487,
+        0.02414468483030796,
+        0.023320833349227906,
+        0.012906089831888675,
+        0.01244986510872841,
+        0.014011499826610088,
+        0.014019607320427894,
+        0.016671525955200196,
+        0.020415333633124828,
+        0.022233861681073903,
+        0.02509751079156995,
+        0.02855886407494545,
+        0.03512386602535844,
+        0.03239926918745041,
+        0.03483687193393707,
+        0.02414971941784024,
+        0.021885205315425992,
+        0.023786303965747355,
+        0.01902258104905486,
+        0.027144915854930878,
+        0.021862186920642852,
+        0.019822580271959305,
+        0.02127928227558732,
+        0.023540232962369918,
+        0.024526968252658845,
+        0.021736864572763442,
+        0.022946330963075162,
+        0.017184075573086738,
+        0.02062335392832756,
+        0.018120812475681303,
+        0.015307850694656372,
+        0.023829158449172973,
+        0.018856425175070763,
+        0.018164710475504397,
+        0.01771858846768737,
+        0.01473103111088276,
+        0.013859573656320573,
+        0.014396251887083053,
+        0.012541232538223267,
+        0.011693280148506164,
+        0.011579178339242935,
+        0.012598556798696517,
+        0.014540255971252919,
+        0.01518781537413597,
+        0.01615833755284548,
+        0.015597678692266345,
+        0.018065750354528426,
+        0.017838929241895677,
+        0.02107308625280857,
+        0.01863815703690052,
+        0.022096455523371698
+      ],
+      "tgrad_loss": [
+        0.3024426766872406,
+        0.26760040110349653,
+        0.19261146736145018,
+        0.15798504416942596,
+        0.13912039029598236,
+        0.12435259215831757,
+        0.12544673397541045,
+        0.1233829214334488,
+        0.12724055438041687,
+        0.1374789370059967,
+        0.15872892727851867,
+        0.14412552337646484,
+        0.15059907083511354,
+        0.16241564388275145,
+        0.15680248302221297,
+        0.16359038968086242,
+        0.17298557314872742,
+        0.21305938571691513,
+        0.16396834471225738,
+        0.1859930724620819,
+        0.1976847105026245,
+        0.1638680607318878,
+        0.1893981406211853,
+        0.2126276472568512,
+        0.20732428936958314,
+        0.23380364923477173,
+        0.21916499223709107,
+        0.22728701264858245,
+        0.2164064181804657,
+        0.2355296877384186,
+        0.23228821861743926,
+        0.23884190742969513,
+        0.24680728578567504,
+        0.24199310512542724,
+        0.2506087215423584,
+        0.2369241587638855,
+        0.24433795733451844,
+        0.2405263027191162,
+        0.2554032007455826,
+        0.25242412157058713,
+        0.2600054337501526,
+        0.26833617506027224,
+        0.2709893661499023,
+        0.2809129590988159,
+        0.27647859499454497,
+        0.275464682662487,
+        0.27850080614089967,
+        0.27471575455665587,
+        0.2721832049369812,
+        0.27576433696746827,
+        0.2717041887283325,
+        0.2717740647315979,
+        0.27150033550262453,
+        0.2775353482723236,
+        0.2801086558818817,
+        0.27807693454027177,
+        0.2790536849021912,
+        0.27993348541259766,
+        0.2819618251562119,
+        0.2768707938671112,
+        0.2813425661563873,
+        0.2813366662502289,
+        0.2739545676112175,
+        0.2726449445486069,
+        0.2716892107963562,
+        0.26935181140899656,
+        0.2712896113157272,
+        0.2667205859661102,
+        0.2654070652484894,
+        0.26564114809036254,
+        0.2640623729944229,
+        0.26316985001564025,
+        0.26342742853164675,
+        0.26157588943243026,
+        0.26131984198093416,
+        0.26074419956207273,
+        0.2598960707902908,
+        0.26017822399139406,
+        0.25984701359272006,
+        0.2595048580646515
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.021101564168930054,
+        0.1092284768819809,
+        0.14931762218475342,
+        0.16334021091461182
+      ],
+      "perturbation_rho": [
+        0.026919251307845116,
+        0.23688018321990967,
+        0.28421375155448914,
+        0.2676014304161072
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0008864067494869232,
+          -0.0009627565741539001,
+          -0.0012677897466346622,
+          -0.001255445065908134
+        ],
+        "0.003": [
+          -0.0026319557800889015,
+          -0.0028857083525508642,
+          -0.003800811246037483,
+          -0.0037655923515558243
+        ],
+        "0.01": [
+          -0.008425744250416756,
+          -0.009595570154488087,
+          -0.012630455195903778,
+          -0.012512242421507835
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L4_s42.json b/results/synth_ladder_v2_lo/synth_a0.25_L4_s42.json
new file mode 100644
index 0000000..ec28849
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L4_s42.json
@@ -0,0 +1,1554 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.453296373653412,
+        0.4953095598220825,
+        0.34828554306030274,
+        0.34110426716804504,
+        0.27771372408866885,
+        0.2927352352142334,
+        0.2706843049049377,
+        0.3097882106781006,
+        0.26225770044326785,
+        0.25132905864715577,
+        0.25332398891448976,
+        0.2514034366607666,
+        0.21332003959417342,
+        0.1936976969242096,
+        0.2505925059080124,
+        0.20892606778144837,
+        0.2087661534309387,
+        0.20852603862285615,
+        0.18916085431575774,
+        0.1735510662317276,
+        0.17585254753828047,
+        0.1600837320804596,
+        0.184162171459198,
+        0.1619161043167114,
+        0.18675716395378114,
+        0.15804585781097413,
+        0.16049944838285446,
+        0.14615878117084502,
+        0.13879444608688354,
+        0.15593961148262023,
+        0.1475718964099884,
+        0.1584999119758606,
+        0.16021934352219105,
+        0.11994385460615158,
+        0.11137195901870728,
+        0.1309328990459442,
+        0.11823977715969086,
+        0.12014036464691162,
+        0.11413699101507664,
+        0.09933694800138473,
+        0.10369804172515869,
+        0.1288715265393257,
+        0.10965070486068726,
+        0.10025272550582885,
+        0.09632523136138917,
+        0.09258691647052765,
+        0.09523829494118691,
+        0.0850349404335022,
+        0.09242999118566513,
+        0.08526616468429565,
+        0.0841564024925232,
+        0.08719563089609146,
+        0.07787569234371185,
+        0.07688848695755005,
+        0.07261240689754486,
+        0.07009156805276871,
+        0.06769767506122588,
+        0.06889801435470581,
+        0.06692594285011291,
+        0.06540395164489746,
+        0.06442964359521866,
+        0.06337919898033142,
+        0.06439190024137496,
+        0.061882001066207885,
+        0.0627123805642128,
+        0.06019558189511299,
+        0.05877050402164459,
+        0.05892564465999603,
+        0.05775531235933304,
+        0.057336541628837584,
+        0.05673237580060959,
+        0.056307577848434445,
+        0.05571542314887047,
+        0.055296688014268874,
+        0.055058483922481534,
+        0.05481614050865173,
+        0.054657079005241395,
+        0.054507050532102586,
+        0.054425559097528456,
+        0.05437098300457001
+      ],
+      "train_acc": [
+        0.521,
+        0.8342,
+        0.8734,
+        0.8655,
+        0.8922,
+        0.884,
+        0.8912,
+        0.8784,
+        0.8991,
+        0.8983,
+        0.9004,
+        0.8998,
+        0.9154,
+        0.9258,
+        0.9031,
+        0.9158,
+        0.9142,
+        0.9177,
+        0.9273,
+        0.9349,
+        0.932,
+        0.9401,
+        0.9262,
+        0.9358,
+        0.9253,
+        0.9406,
+        0.9371,
+        0.9434,
+        0.9492,
+        0.9411,
+        0.943,
+        0.9396,
+        0.9373,
+        0.9596,
+        0.9637,
+        0.9514,
+        0.9583,
+        0.9562,
+        0.959,
+        0.967,
+        0.9641,
+        0.9512,
+        0.961,
+        0.9657,
+        0.9694,
+        0.9709,
+        0.9696,
+        0.9747,
+        0.9695,
+        0.974,
+        0.9761,
+        0.9749,
+        0.9795,
+        0.9789,
+        0.9826,
+        0.9832,
+        0.986,
+        0.9848,
+        0.9866,
+        0.9868,
+        0.9877,
+        0.9874,
+        0.9867,
+        0.9887,
+        0.9889,
+        0.9905,
+        0.991,
+        0.9897,
+        0.9917,
+        0.992,
+        0.9922,
+        0.9927,
+        0.9928,
+        0.9936,
+        0.9933,
+        0.9932,
+        0.9936,
+        0.9937,
+        0.9935,
+        0.9936
+      ],
+      "test_acc": [
+        0.783,
+        0.8685,
+        0.8705,
+        0.8805,
+        0.8855,
+        0.8775,
+        0.8805,
+        0.8805,
+        0.883,
+        0.8825,
+        0.883,
+        0.8885,
+        0.8955,
+        0.8915,
+        0.8905,
+        0.893,
+        0.895,
+        0.9,
+        0.8935,
+        0.902,
+        0.9075,
+        0.903,
+        0.9015,
+        0.903,
+        0.896,
+        0.899,
+        0.904,
+        0.905,
+        0.905,
+        0.903,
+        0.9065,
+        0.908,
+        0.9055,
+        0.914,
+        0.907,
+        0.909,
+        0.9125,
+        0.9045,
+        0.907,
+        0.9065,
+        0.9105,
+        0.9005,
+        0.914,
+        0.909,
+        0.915,
+        0.908,
+        0.9105,
+        0.9155,
+        0.9055,
+        0.9145,
+        0.909,
+        0.91,
+        0.9105,
+        0.911,
+        0.9155,
+        0.9125,
+        0.9165,
+        0.913,
+        0.9105,
+        0.913,
+        0.911,
+        0.91,
+        0.912,
+        0.9125,
+        0.9155,
+        0.9145,
+        0.9135,
+        0.9125,
+        0.9115,
+        0.9115,
+        0.912,
+        0.9115,
+        0.9115,
+        0.9115,
+        0.911,
+        0.9115,
+        0.911,
+        0.911,
+        0.911,
+        0.911
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.868922770023346,
+        0.8429951667785645,
+        0.8289605379104614,
+        0.8231275081634521
+      ],
+      "perturbation_rho": [
+        0.999998927116394,
+        0.9999972581863403,
+        0.9999882578849792,
+        0.9999451637268066
+      ],
+      "nudging": {
+        "0.001": [
+          -0.029291702434420586,
+          -0.013265937566757202,
+          -0.0059385779313743114,
+          -0.0030764099210500717
+        ],
+        "0.003": [
+          -0.0787585899233818,
+          -0.03797435015439987,
+          -0.017459016293287277,
+          -0.009135493077337742
+        ],
+        "0.01": [
+          -0.17674864828586578,
+          -0.10683682560920715,
+          -0.05415143817663193,
+          -0.029372699558734894
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.2496918357849123,
+        1.3387847526550294,
+        0.7445953012466431,
+        0.5398363877296448,
+        0.44195732192993165,
+        0.406708620595932,
+        0.3705522078037262,
+        0.37765975799560547,
+        0.3639752985954285,
+        0.3892137159347534,
+        0.3852337788581848,
+        0.4254111849784851,
+        0.38780576059818267,
+        0.41569334573745725,
+        0.4350270037651062,
+        0.43129599609375,
+        0.44781311664581297,
+        0.47839186553955076,
+        0.48407614097595214,
+        0.45144308986663817,
+        0.5073113049447536,
+        0.48227315073013305,
+        0.5290714904785156,
+        0.45285613021850585,
+        0.4874774526119232,
+        0.46561420321464536,
+        0.43761558775901793,
+        0.45178383803367617,
+        0.43797643756866456,
+        0.5157751927137375,
+        0.4519074549674988,
+        0.5198216260910035,
+        0.47095790967941287,
+        0.45483838151693345,
+        0.44220186512470244,
+        0.49421512649059296,
+        0.5017378551483155,
+        0.4660479995489121,
+        0.41283108919858935,
+        0.4158671610355377,
+        0.42750406036376953,
+        0.5042367227554321,
+        0.47434177494049073,
+        0.5477551186561584,
+        0.43455731093883515,
+        0.4315849390029907,
+        0.4076690737605095,
+        0.392881183385849,
+        0.3990067440032959,
+        0.3904748822212219,
+        0.37085895271301267,
+        0.40754292578697204,
+        0.39559432973861697,
+        0.3863873209953308,
+        0.37049336433410646,
+        0.36953919867277146,
+        0.36928157291412356,
+        0.40962127685546873,
+        0.3643629170656204,
+        0.3515832754135132,
+        0.3692568906784058,
+        0.3748962776184082,
+        0.3622305648565292,
+        0.34127199211120607,
+        0.3452877820730209,
+        0.3349293503880501,
+        0.33011303119659424,
+        0.3349422814369202,
+        0.3320218985080719,
+        0.3275007127761841,
+        0.3277460176587105,
+        0.32419858107566835,
+        0.3230124948501587,
+        0.32022189517021177,
+        0.3179460354447365,
+        0.31657396450042724,
+        0.3161927330970764,
+        0.3148143844127655,
+        0.31444183547496796,
+        0.3140971690177917
+      ],
+      "train_acc": [
+        0.1757,
+        0.5378,
+        0.7229,
+        0.7943,
+        0.8272,
+        0.8416,
+        0.8544,
+        0.8553,
+        0.8624,
+        0.859,
+        0.8615,
+        0.8498,
+        0.8606,
+        0.8573,
+        0.8553,
+        0.8551,
+        0.8531,
+        0.8525,
+        0.8513,
+        0.8535,
+        0.8483,
+        0.8558,
+        0.8419,
+        0.8546,
+        0.852,
+        0.8583,
+        0.8637,
+        0.8581,
+        0.8621,
+        0.848,
+        0.8602,
+        0.8478,
+        0.8558,
+        0.859,
+        0.8595,
+        0.8528,
+        0.8544,
+        0.8592,
+        0.8692,
+        0.8682,
+        0.8691,
+        0.8536,
+        0.8621,
+        0.8432,
+        0.8668,
+        0.8678,
+        0.8758,
+        0.8798,
+        0.877,
+        0.8799,
+        0.8825,
+        0.8738,
+        0.8764,
+        0.8796,
+        0.8844,
+        0.8804,
+        0.8812,
+        0.8732,
+        0.8853,
+        0.888,
+        0.8859,
+        0.8828,
+        0.8854,
+        0.8884,
+        0.8882,
+        0.8911,
+        0.89,
+        0.8878,
+        0.8907,
+        0.8914,
+        0.893,
+        0.8949,
+        0.8946,
+        0.8942,
+        0.8967,
+        0.8948,
+        0.8971,
+        0.8967,
+        0.8965,
+        0.8966
+      ],
+      "test_acc": [
+        0.3575,
+        0.648,
+        0.7465,
+        0.787,
+        0.8045,
+        0.817,
+        0.82,
+        0.822,
+        0.8115,
+        0.8225,
+        0.786,
+        0.821,
+        0.81,
+        0.7845,
+        0.8205,
+        0.826,
+        0.8265,
+        0.7955,
+        0.8305,
+        0.802,
+        0.809,
+        0.784,
+        0.8185,
+        0.805,
+        0.824,
+        0.822,
+        0.802,
+        0.808,
+        0.8,
+        0.8025,
+        0.7915,
+        0.803,
+        0.81,
+        0.8055,
+        0.7815,
+        0.8075,
+        0.8135,
+        0.813,
+        0.8385,
+        0.814,
+        0.792,
+        0.81,
+        0.811,
+        0.8125,
+        0.8125,
+        0.8265,
+        0.833,
+        0.8445,
+        0.8385,
+        0.8405,
+        0.838,
+        0.84,
+        0.8335,
+        0.847,
+        0.841,
+        0.8385,
+        0.8335,
+        0.848,
+        0.843,
+        0.8465,
+        0.8445,
+        0.8415,
+        0.8445,
+        0.8455,
+        0.8475,
+        0.8515,
+        0.85,
+        0.8505,
+        0.8505,
+        0.852,
+        0.8505,
+        0.851,
+        0.8495,
+        0.8515,
+        0.8495,
+        0.8515,
+        0.8505,
+        0.8515,
+        0.851,
+        0.8515
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.006489354185760021,
+        0.12851163744926453,
+        0.11991241574287415,
+        0.11389133334159851
+      ],
+      "perturbation_rho": [
+        0.029786743223667145,
+        0.18639126420021057,
+        0.11502038687467575,
+        0.06601984798908234
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0010971444426104426,
+          -0.0006575186271220446,
+          -0.0003536626463755965,
+          -0.00032158708199858665
+        ],
+        "0.003": [
+          -0.003264155238866806,
+          -0.0019673758652061224,
+          -0.0010591265745460987,
+          -0.0009630966233089566
+        ],
+        "0.01": [
+          -0.01056693121790886,
+          -0.006519604474306107,
+          -0.003515135496854782,
+          -0.003202090272679925
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.8671920738220216,
+        0.8245958818435669,
+        0.47314112768173217,
+        0.45674627771377563,
+        0.4969047926664352,
+        0.6115808282852173,
+        0.7014055969238281,
+        0.7080811479568482,
+        0.7012172104358673,
+        0.6735383527755737,
+        0.649971604347229,
+        0.6521630270957947,
+        0.6687821681022644,
+        0.6728867406845093,
+        0.7074090370178223,
+        0.698468556690216,
+        0.7291404920578003,
+        0.7727017598628998,
+        0.7500046424865723,
+        0.8085200922012329,
+        0.779546489238739,
+        0.801387744808197,
+        0.7530522830963134,
+        0.8084568103790283,
+        0.8122323418617249,
+        0.7676459170341492,
+        0.7385737422943115,
+        0.7743796340942383,
+        0.791342021369934,
+        0.7538952941894531,
+        0.7233746746063232,
+        0.7027450902938843,
+        0.6739716813087463,
+        0.6575725811958313,
+        0.657341569519043,
+        0.6534057109832764,
+        0.6632411510944366,
+        0.6651172963142395,
+        0.6753239694595337,
+        0.6706813243865967,
+        0.6627065504074097,
+        0.6668087734222412,
+        0.6758873833417892,
+        0.6484876903533936,
+        0.6945558298110962,
+        0.6871001857757568,
+        0.6978039226531982,
+        0.7010440427780151,
+        0.7184338994979859,
+        0.7164405530929565,
+        0.6952354438781738,
+        0.7032188013076782,
+        0.7004193035125732,
+        0.6734662980079651,
+        0.6810175803661347,
+        0.677333201789856,
+        0.6784080492973328,
+        0.6712752502441406,
+        0.6656309762001038,
+        0.6615614066123963,
+        0.660873606300354,
+        0.6580983083724976,
+        0.6578487804412841,
+        0.6565888023853302,
+        0.6494241165161133,
+        0.6526647891044617,
+        0.6507426448822021,
+        0.6518581859588624,
+        0.653467121887207,
+        0.6535044790267944,
+        0.6530143226623535,
+        0.6528809313774109,
+        0.6519273241043091,
+        0.6527892800331115,
+        0.6520682262420654,
+        0.6511607341766358,
+        0.6508296747207641,
+        0.650347448348999,
+        0.6499623192787171,
+        0.6497791537284852
+      ],
+      "train_acc": [
+        0.3296,
+        0.6941,
+        0.8187,
+        0.8252,
+        0.8134,
+        0.7893,
+        0.7615,
+        0.7534,
+        0.7544,
+        0.7589,
+        0.7658,
+        0.7632,
+        0.7625,
+        0.7609,
+        0.7468,
+        0.7618,
+        0.7486,
+        0.738,
+        0.7459,
+        0.73,
+        0.7423,
+        0.7321,
+        0.7396,
+        0.72,
+        0.7227,
+        0.7321,
+        0.7446,
+        0.7334,
+        0.7344,
+        0.7427,
+        0.7491,
+        0.7572,
+        0.7686,
+        0.7738,
+        0.7677,
+        0.7726,
+        0.7698,
+        0.7665,
+        0.7646,
+        0.76,
+        0.7638,
+        0.7633,
+        0.7614,
+        0.7672,
+        0.755,
+        0.7548,
+        0.7577,
+        0.759,
+        0.7567,
+        0.754,
+        0.7634,
+        0.7608,
+        0.761,
+        0.7743,
+        0.7697,
+        0.7705,
+        0.772,
+        0.7749,
+        0.7764,
+        0.7771,
+        0.7775,
+        0.7809,
+        0.7773,
+        0.7794,
+        0.7836,
+        0.7779,
+        0.7812,
+        0.7804,
+        0.7813,
+        0.781,
+        0.78,
+        0.7802,
+        0.7855,
+        0.7835,
+        0.7826,
+        0.7841,
+        0.783,
+        0.7847,
+        0.7848,
+        0.7848
+      ],
+      "test_acc": [
+        0.5685,
+        0.758,
+        0.8165,
+        0.805,
+        0.777,
+        0.7565,
+        0.74,
+        0.7235,
+        0.723,
+        0.7415,
+        0.7465,
+        0.7215,
+        0.719,
+        0.711,
+        0.711,
+        0.7105,
+        0.6965,
+        0.713,
+        0.6995,
+        0.7195,
+        0.6795,
+        0.708,
+        0.679,
+        0.66,
+        0.664,
+        0.711,
+        0.7055,
+        0.679,
+        0.704,
+        0.7085,
+        0.704,
+        0.713,
+        0.715,
+        0.7205,
+        0.7155,
+        0.7205,
+        0.7165,
+        0.702,
+        0.719,
+        0.717,
+        0.7165,
+        0.7065,
+        0.7285,
+        0.7165,
+        0.7145,
+        0.7105,
+        0.7125,
+        0.705,
+        0.7095,
+        0.7115,
+        0.7205,
+        0.714,
+        0.721,
+        0.724,
+        0.726,
+        0.7275,
+        0.7335,
+        0.732,
+        0.734,
+        0.727,
+        0.7265,
+        0.7305,
+        0.7375,
+        0.732,
+        0.7325,
+        0.7375,
+        0.7365,
+        0.7325,
+        0.736,
+        0.7335,
+        0.74,
+        0.7395,
+        0.7355,
+        0.735,
+        0.738,
+        0.7345,
+        0.7375,
+        0.737,
+        0.7385,
+        0.738
+      ],
+      "state_pred_error": [
+        0.7487808745384217,
+        0.24732994434833527,
+        0.17313961231708527,
+        0.16168231008052825,
+        0.17035679717063903,
+        0.18103363909721373,
+        0.18245853021144867,
+        0.17743719387054444,
+        0.17188244462013244,
+        0.16246572191715242,
+        0.15361685829162597,
+        0.14225484938621522,
+        0.1289559740781784,
+        0.11635132092237473,
+        0.10436125522851944,
+        0.09599733033180237,
+        0.08721809136271477,
+        0.08110790919065475,
+        0.0771063295006752,
+        0.07525849696397781,
+        0.07354050797224045,
+        0.0688812373816967,
+        0.06121735058426857,
+        0.04916935938000679,
+        0.03849249759912491,
+        0.032670543703436854,
+        0.03231753547489643,
+        0.03378260580301285,
+        0.034706774830818174,
+        0.03332062679231167,
+        0.031204309898614883,
+        0.028909587877988814,
+        0.02718178628385067,
+        0.025115732821822168,
+        0.022915556079149246,
+        0.020764808982610704,
+        0.018696666319668293,
+        0.017864737275242806,
+        0.01723333814740181,
+        0.016962407499551774,
+        0.017021035474538804,
+        0.01716751972436905,
+        0.017350809542834758,
+        0.017860741698741914,
+        0.018610822199285032,
+        0.019769935327768325,
+        0.02077203135192394,
+        0.022067637622356414,
+        0.022644061627984047,
+        0.023021951377391815,
+        0.024246234822273255,
+        0.02352409240603447,
+        0.023992977035045625,
+        0.023878568160533905,
+        0.02291360137462616,
+        0.022536616253852844,
+        0.022139397828280925,
+        0.021314597645401955,
+        0.02067878492474556,
+        0.02007001314163208,
+        0.019347347635030748,
+        0.019004285940527915,
+        0.01821923423111439,
+        0.01792956632822752,
+        0.01759405211508274,
+        0.017176553043723106,
+        0.016862381353974342,
+        0.016874016273021698,
+        0.016504883515834807,
+        0.016086394381523133,
+        0.015596509897708893,
+        0.015838253927230834,
+        0.014799859385192394,
+        0.014545651116967201,
+        0.014143282814323902,
+        0.01395568735897541,
+        0.013814397670328616,
+        0.013369649396836757,
+        0.013002270936965942,
+        0.012713338199257851
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8448630571365356,
+        0.4407959580421448,
+        0.15707260370254517,
+        0.14386749267578125
+      ],
+      "perturbation_rho": [
+        0.7033247947692871,
+        0.34020179510116577,
+        0.13395404815673828,
+        0.1692604124546051
+      ],
+      "nudging": {
+        "0.001": [
+          -0.024531232193112373,
+          -0.001812139991670847,
+          -0.0004901132197119296,
+          -0.0004392624250613153
+        ],
+        "0.003": [
+          -0.07187046855688095,
+          -0.005427503027021885,
+          -0.0014687320217490196,
+          -0.001316926209256053
+        ],
+        "0.01": [
+          -0.2203540802001953,
+          -0.01797248050570488,
+          -0.004883656278252602,
+          -0.004377881996333599
+        ]
+      },
+      "state_pred_error_per_layer": [
+        3192.55322265625,
+        2613.6337890625,
+        1881.11669921875,
+        2102.51953125
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2491588119506836,
+        1.3391401213645935,
+        0.7448139661788941,
+        0.529046625328064,
+        0.4409893859386444,
+        0.39295122833251955,
+        0.3917396518230438,
+        0.3638893904685974,
+        0.3780584011077881,
+        0.4088036222457886,
+        0.3839244392633438,
+        0.3965308126449585,
+        0.4332325538396835,
+        0.388488942027092,
+        0.3860952439308166,
+        0.4289595764160156,
+        0.558712983417511,
+        0.4192588807106018,
+        0.5468189309835434,
+        0.4735720682144165,
+        0.5481147343516349,
+        0.5364306289672851,
+        0.6400549737930298,
+        0.6401411312103271,
+        0.6521704914093017,
+        0.6980661613464355,
+        0.7174948001861572,
+        0.7452107217788696,
+        0.7168677276611328,
+        0.6955249413490295,
+        0.6813755706787109,
+        0.8467616846561432,
+        0.7442628755569458,
+        0.7809717464447021,
+        0.835019677734375,
+        0.9415380798339844,
+        0.8470349615097046,
+        0.9357274827957154,
+        0.956027186203003,
+        0.978194040107727,
+        0.9993384301662445,
+        1.0430794897079467,
+        1.1107125093460084,
+        1.0457960997581481,
+        1.0835725379943848,
+        1.0907151245117188,
+        1.0002957998275757,
+        1.007777456665039,
+        0.9944101539611816,
+        1.0391859111785888,
+        0.9873703357696533,
+        0.9624767935752868,
+        0.9792510041236877,
+        0.9836898254394532,
+        0.9538689140319824,
+        0.9946584331512451,
+        0.9380921537399292,
+        0.956259532213211,
+        0.9596250736236572,
+        0.94606699924469,
+        0.9452685148239136,
+        0.923868314743042,
+        0.9321948112487793,
+        0.9432626096725464,
+        0.9381357315063477,
+        0.9209384853363037,
+        0.9391128986358642,
+        0.9220459381103515,
+        0.9200671195983887,
+        0.9224453427314758,
+        0.9143399673461914,
+        0.9111755439758301,
+        0.9145837394714356,
+        0.9098482831001282,
+        0.9112333339691162,
+        0.9066373474121093,
+        0.9067055240631103,
+        0.9056244029521943,
+        0.9049024011611938,
+        0.9045989236831665
+      ],
+      "train_acc": [
+        0.1799,
+        0.5387,
+        0.723,
+        0.7962,
+        0.8291,
+        0.8477,
+        0.8498,
+        0.858,
+        0.858,
+        0.8495,
+        0.8613,
+        0.8581,
+        0.8493,
+        0.8637,
+        0.8632,
+        0.8572,
+        0.8381,
+        0.8665,
+        0.8471,
+        0.8543,
+        0.8367,
+        0.8369,
+        0.8172,
+        0.818,
+        0.8175,
+        0.8022,
+        0.7871,
+        0.78,
+        0.7818,
+        0.7836,
+        0.7796,
+        0.744,
+        0.7563,
+        0.7468,
+        0.7334,
+        0.7137,
+        0.7236,
+        0.7024,
+        0.6963,
+        0.6912,
+        0.6787,
+        0.6719,
+        0.6558,
+        0.6645,
+        0.6544,
+        0.654,
+        0.6685,
+        0.6631,
+        0.6676,
+        0.6645,
+        0.6706,
+        0.6704,
+        0.6689,
+        0.6688,
+        0.6777,
+        0.6677,
+        0.6782,
+        0.6754,
+        0.6743,
+        0.68,
+        0.6768,
+        0.6807,
+        0.68,
+        0.6778,
+        0.6792,
+        0.6783,
+        0.6767,
+        0.6821,
+        0.6798,
+        0.6832,
+        0.6829,
+        0.6852,
+        0.6792,
+        0.6853,
+        0.6818,
+        0.6858,
+        0.6824,
+        0.6836,
+        0.6832,
+        0.6832
+      ],
+      "test_acc": [
+        0.3585,
+        0.657,
+        0.742,
+        0.783,
+        0.8185,
+        0.8245,
+        0.8105,
+        0.817,
+        0.812,
+        0.824,
+        0.812,
+        0.8105,
+        0.8235,
+        0.8105,
+        0.799,
+        0.819,
+        0.813,
+        0.819,
+        0.821,
+        0.788,
+        0.812,
+        0.767,
+        0.7685,
+        0.7705,
+        0.7635,
+        0.756,
+        0.7595,
+        0.738,
+        0.7195,
+        0.7505,
+        0.6595,
+        0.699,
+        0.6885,
+        0.6555,
+        0.6185,
+        0.6805,
+        0.685,
+        0.6495,
+        0.653,
+        0.661,
+        0.627,
+        0.5955,
+        0.6305,
+        0.6025,
+        0.57,
+        0.646,
+        0.6375,
+        0.6485,
+        0.6105,
+        0.65,
+        0.642,
+        0.651,
+        0.64,
+        0.646,
+        0.6565,
+        0.6655,
+        0.6555,
+        0.6525,
+        0.6325,
+        0.655,
+        0.6445,
+        0.6625,
+        0.652,
+        0.66,
+        0.665,
+        0.6605,
+        0.6505,
+        0.6465,
+        0.6585,
+        0.6555,
+        0.6575,
+        0.663,
+        0.6575,
+        0.6575,
+        0.662,
+        0.6565,
+        0.6605,
+        0.661,
+        0.662,
+        0.662
+      ],
+      "value_loss": [
+        2.8136747930526735,
+        0.8132589956283569,
+        0.7441051291465759,
+        0.5935244509220123,
+        0.5305544801712037,
+        0.4809351634979248,
+        0.5323177522659301,
+        0.4937599531173706,
+        0.5660051969528198,
+        0.6462191902160644,
+        0.5763734079837799,
+        0.6280713613510132,
+        0.7948557285785675,
+        0.6167353689074516,
+        0.6312321287155152,
+        0.7788636138916015,
+        1.24904136428833,
+        0.8144484006881714,
+        1.2646914062023162,
+        0.9913992839813233,
+        1.2167877242982388,
+        1.1537877170562745,
+        1.4896245155334473,
+        1.4209841236591338,
+        1.4288050296783448,
+        1.5737432616233826,
+        1.472049324798584,
+        1.3558264159202575,
+        1.2634898232460021,
+        1.0622564476013183,
+        0.9087878711700439,
+        1.2522220923423768,
+        0.8374090339660645,
+        0.8644590536117553,
+        0.9108287329673768,
+        1.0323113090515137,
+        0.7954086130142212,
+        0.9589143196105957,
+        0.9973226028442382,
+        0.8696648183345794,
+        0.9279479406356812,
+        0.9467850358963013,
+        0.9611213340044021,
+        0.8860973155975341,
+        0.9274569381713867,
+        0.8928450954437256,
+        0.7761943910598755,
+        0.7452224809646606,
+        0.7111061507225037,
+        0.9079251007080078,
+        0.7042157987594605,
+        0.6186297750473022,
+        0.6579183887004852,
+        0.650217645072937,
+        0.6726008516311646,
+        0.7288588707923889,
+        0.5969251877784729,
+        0.6327752158164978,
+        0.6609377601623535,
+        0.6041857168197632,
+        0.5917840515613556,
+        0.5548734745502472,
+        0.5744958362579345,
+        0.5927253926277161,
+        0.567703023815155,
+        0.5330746456623078,
+        0.5393640619277954,
+        0.536778436088562,
+        0.5437427759170532,
+        0.5154631103515624,
+        0.5084992980957032,
+        0.5075871801376343,
+        0.4997114695072174,
+        0.4929317692756653,
+        0.4871681167125702,
+        0.5004887029647828,
+        0.4816018688201904,
+        0.4893035494327545,
+        0.4769497550010681,
+        0.5039997359514237
+      ],
+      "term_loss": [
+        1.632562749004364,
+        0.48681144256591796,
+        0.5579757928848267,
+        0.4446354372739792,
+        0.38954342555999755,
+        0.33837572212219236,
+        0.3827962197303772,
+        0.3628402814865112,
+        0.43823430774211886,
+        0.5091175779342652,
+        0.44919354333877565,
+        0.49555663242340087,
+        0.6545826898813247,
+        0.484098217099905,
+        0.503711657333374,
+        0.6411246375083923,
+        1.0730022660255432,
+        0.6760020233631134,
+        1.0891792623758316,
+        0.8359037994384766,
+        1.0395685426205397,
+        0.9751200185298919,
+        1.2764028619766234,
+        1.2068148810386659,
+        1.2142266105651855,
+        1.3360229535579682,
+        1.2316911418914795,
+        1.10275178129673,
+        1.0232205655097961,
+        0.8254292141914368,
+        0.6746950702667236,
+        0.9630538293838501,
+        0.5811431129455567,
+        0.605120336163044,
+        0.6237313741922379,
+        0.7302495213985443,
+        0.5120967150211334,
+        0.6533307945251465,
+        0.6705779426574707,
+        0.5572913918495178,
+        0.601477882862091,
+        0.619995453453064,
+        0.6235214290976524,
+        0.5553061120986938,
+        0.5913957936286927,
+        0.5468049569010734,
+        0.4478747470855713,
+        0.41719899480342865,
+        0.39799570727348327,
+        0.5387198917388916,
+        0.389376504611969,
+        0.3186599224090576,
+        0.349000741147995,
+        0.344887624168396,
+        0.36766607322692874,
+        0.40503488359451295,
+        0.2990953638792038,
+        0.3293440096095204,
+        0.3466704918861389,
+        0.30466876001358034,
+        0.2939660704612732,
+        0.2598868667215109,
+        0.277480362701416,
+        0.2899700213432312,
+        0.26971954430937767,
+        0.23886673400998115,
+        0.24062761631011964,
+        0.2402403997540474,
+        0.24415884652137756,
+        0.2247240812778473,
+        0.21601913204193116,
+        0.21670277047157288,
+        0.20699720672369004,
+        0.20146363933086395,
+        0.19528962482213974,
+        0.20751085200309755,
+        0.1899980792403221,
+        0.19427047532498837,
+        0.1858817045211792,
+        0.20441836426854135
+      ],
+      "bridge_loss": [
+        0.8866691899295722,
+        0.08224999148249626,
+        0.010757447761297226,
+        0.0061791808307170865,
+        0.013211339366436004,
+        0.02400260500907898,
+        0.029208013555407523,
+        0.016411626595258712,
+        0.01054288158416748,
+        0.009739568059891462,
+        0.00857815499957651,
+        0.010147648680210114,
+        0.012416441324353218,
+        0.013030582279339432,
+        0.011700151482224464,
+        0.012999499094486236,
+        0.027916341756284237,
+        0.016938312309980393,
+        0.025221791119873525,
+        0.020558533179759978,
+        0.024548026264831425,
+        0.02883436657488346,
+        0.041062966972589494,
+        0.04241552077531815,
+        0.0413472350358963,
+        0.053113183903694156,
+        0.049302950567007064,
+        0.05605897057652474,
+        0.04239914432168007,
+        0.04438741339594126,
+        0.040503136277198794,
+        0.05868587039113045,
+        0.044476384896039965,
+        0.03979057075381279,
+        0.04996331431865692,
+        0.04867027699947357,
+        0.04424825751781464,
+        0.048844764399528506,
+        0.06250892872810364,
+        0.043231787598133085,
+        0.05235229188203812,
+        0.044943358480930326,
+        0.04317686275988817,
+        0.04893158612549305,
+        0.04527283647060394,
+        0.052477565068006514,
+        0.04906891460418701,
+        0.04816573285460472,
+        0.03766437851190567,
+        0.08414143166542053,
+        0.03915382572412491,
+        0.028718653923273087,
+        0.0357290733397007,
+        0.030860403615236284,
+        0.034851776957511904,
+        0.04384376324117184,
+        0.031289697197079656,
+        0.03198159513771534,
+        0.04347437092065811,
+        0.031240173679590224,
+        0.029294288346171378,
+        0.030716246968507766,
+        0.030886165726184845,
+        0.034454310005903245,
+        0.029435836976766588,
+        0.030154093551635744,
+        0.031540098917484286,
+        0.032152002370357514,
+        0.03537253759801388,
+        0.026627822160720824,
+        0.029674778524041177,
+        0.02880360425710678,
+        0.030208065378665924,
+        0.029887308536469936,
+        0.02994157576560974,
+        0.03245688362717628,
+        0.030067061227560043,
+        0.03423906381428242,
+        0.030539594569802285,
+        0.03893857387006283
+      ],
+      "tgrad_loss": [
+        0.2944428525924683,
+        0.2441975613117218,
+        0.17537188875675203,
+        0.14270983247756958,
+        0.12779971356391906,
+        0.11855683698654175,
+        0.12031352219581604,
+        0.1145080406665802,
+        0.11722800314426422,
+        0.12736204500198364,
+        0.11860171184539794,
+        0.12236708498001099,
+        0.12785659310817718,
+        0.1196065666794777,
+        0.11582032089233399,
+        0.12473947501182556,
+        0.14812274632453917,
+        0.12150806620121002,
+        0.15029035185575484,
+        0.13493695669174194,
+        0.152671147570014,
+        0.1498333449602127,
+        0.1721586901664734,
+        0.17175372595787047,
+        0.17323119621276856,
+        0.18460711754560472,
+        0.19105523586273193,
+        0.19701567590236663,
+        0.1978701251029968,
+        0.19243981567621232,
+        0.19358965730667113,
+        0.23048239738941192,
+        0.21178954000473021,
+        0.21954814462661743,
+        0.2371340503692627,
+        0.25339151220321654,
+        0.23906364424228668,
+        0.2567387635707855,
+        0.2642357376098633,
+        0.26914163494110105,
+        0.2741177690029144,
+        0.2818462213039398,
+        0.2944230457663536,
+        0.2818596136331558,
+        0.2907883113384247,
+        0.2935625722646713,
+        0.2792507260799408,
+        0.2798577557086945,
+        0.2754460638999939,
+        0.28506377139091493,
+        0.2756854686737061,
+        0.27125119709968565,
+        0.2731885812759399,
+        0.2744696222305298,
+        0.2700830017566681,
+        0.2799802258014679,
+        0.2665401251077652,
+        0.2714496097326279,
+        0.2707928934574127,
+        0.26827678565979,
+        0.2685236934185028,
+        0.26427035608291627,
+        0.26612931003570556,
+        0.26830106143951415,
+        0.26854763979911805,
+        0.26405381517410276,
+        0.267196342420578,
+        0.2643860376358032,
+        0.26421138830184937,
+        0.2641112084388733,
+        0.2628053893566132,
+        0.26208080410957335,
+        0.2625061942100525,
+        0.2615808199882507,
+        0.26193691883087156,
+        0.26052096433639527,
+        0.26153672609329226,
+        0.2607940129995346,
+        0.26052846012115477,
+        0.26064279942512514
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.07093458622694016,
+        0.19623729586601257,
+        0.18378585577011108,
+        0.18649986386299133
+      ],
+      "perturbation_rho": [
+        0.14815130829811096,
+        0.336488276720047,
+        0.35506749153137207,
+        0.3242703676223755
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0034058368764817715,
+          -0.0015302924439311028,
+          -0.0013900859048590064,
+          -0.0013669544132426381
+        ],
+        "0.003": [
+          -0.010171962901949883,
+          -0.004587909206748009,
+          -0.0041659073904156685,
+          -0.004097048658877611
+        ],
+        "0.01": [
+          -0.033366985619068146,
+          -0.015239425003528595,
+          -0.013842864893376827,
+          -0.01361463125795126
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L4_s456.json b/results/synth_ladder_v2_lo/synth_a0.25_L4_s456.json
new file mode 100644
index 0000000..a99f2a9
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L4_s456.json
@@ -0,0 +1,1554 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.4280009566307068,
+        0.4816410400390625,
+        0.35641251850128175,
+        0.31376885857582093,
+        0.2785879302024841,
+        0.2906965353012085,
+        0.24813844954967498,
+        0.2529641579627991,
+        0.29037830834388734,
+        0.24602493743896484,
+        0.271309370470047,
+        0.24193280544281007,
+        0.21174109992980958,
+        0.2022141403198242,
+        0.19511151465177537,
+        0.1747492593228817,
+        0.16679265608787536,
+        0.18226073577404023,
+        0.178118130004406,
+        0.1698817639350891,
+        0.21180371685028077,
+        0.22151261649131776,
+        0.1692685513496399,
+        0.15942963395118714,
+        0.15639958801865578,
+        0.13424310631752015,
+        0.13393100074529649,
+        0.1342959972321987,
+        0.1233813103556633,
+        0.1372558897972107,
+        0.15687738795280456,
+        0.15556601939201356,
+        0.1386237049102783,
+        0.12747760764360427,
+        0.13082287336587906,
+        0.12003014180660247,
+        0.1110824688911438,
+        0.11324274975061417,
+        0.09755915361642838,
+        0.09881812291145324,
+        0.0983709388077259,
+        0.08716794240474701,
+        0.09951607349514961,
+        0.08897512910366058,
+        0.09945852316617966,
+        0.08210971295237542,
+        0.08215147442817688,
+        0.09767722171843052,
+        0.07982404861450196,
+        0.08341489782333374,
+        0.08445568187236786,
+        0.07201690224409103,
+        0.06894114913269878,
+        0.06607745648026467,
+        0.06452926009893417,
+        0.06370570333003998,
+        0.07323879662156105,
+        0.06315056117884815,
+        0.06021904794573784,
+        0.05857481062412262,
+        0.06132639021873474,
+        0.05991591087579727,
+        0.05866761998534203,
+        0.0561151444196701,
+        0.05675396573543549,
+        0.05583441897928715,
+        0.054332348388433455,
+        0.05344627385139465,
+        0.053293361806869506,
+        0.05263606111109257,
+        0.05185437820851803,
+        0.05141058519482613,
+        0.05099834645986557,
+        0.0506766751408577,
+        0.05050799320936203,
+        0.050287041491270064,
+        0.05010691736936569,
+        0.04997352842092514,
+        0.04987951598167419,
+        0.04983126169741154
+      ],
+      "train_acc": [
+        0.5303,
+        0.8408,
+        0.8692,
+        0.8797,
+        0.8918,
+        0.8847,
+        0.8988,
+        0.9028,
+        0.8848,
+        0.9035,
+        0.8886,
+        0.9076,
+        0.9163,
+        0.919,
+        0.9247,
+        0.9325,
+        0.936,
+        0.9268,
+        0.9308,
+        0.9337,
+        0.9165,
+        0.912,
+        0.9336,
+        0.9374,
+        0.9396,
+        0.9515,
+        0.9505,
+        0.9497,
+        0.9545,
+        0.9492,
+        0.9388,
+        0.9385,
+        0.9487,
+        0.953,
+        0.9536,
+        0.9576,
+        0.9612,
+        0.9591,
+        0.9682,
+        0.9654,
+        0.9665,
+        0.973,
+        0.9655,
+        0.9697,
+        0.9675,
+        0.9764,
+        0.9749,
+        0.9655,
+        0.9764,
+        0.9743,
+        0.9743,
+        0.9809,
+        0.9821,
+        0.9841,
+        0.9845,
+        0.9855,
+        0.98,
+        0.9854,
+        0.9889,
+        0.989,
+        0.9869,
+        0.9883,
+        0.9879,
+        0.9902,
+        0.9898,
+        0.9906,
+        0.9911,
+        0.9918,
+        0.9917,
+        0.9921,
+        0.9925,
+        0.9929,
+        0.9934,
+        0.9941,
+        0.994,
+        0.9942,
+        0.9945,
+        0.9944,
+        0.9942,
+        0.9942
+      ],
+      "test_acc": [
+        0.7945,
+        0.8695,
+        0.8905,
+        0.8835,
+        0.8885,
+        0.892,
+        0.88,
+        0.883,
+        0.881,
+        0.9005,
+        0.89,
+        0.8905,
+        0.897,
+        0.9045,
+        0.9025,
+        0.8995,
+        0.9025,
+        0.9005,
+        0.908,
+        0.9035,
+        0.894,
+        0.8945,
+        0.903,
+        0.911,
+        0.9075,
+        0.911,
+        0.9145,
+        0.91,
+        0.911,
+        0.9065,
+        0.9035,
+        0.904,
+        0.915,
+        0.9095,
+        0.911,
+        0.9095,
+        0.9115,
+        0.9095,
+        0.9175,
+        0.9175,
+        0.917,
+        0.9115,
+        0.914,
+        0.913,
+        0.907,
+        0.9165,
+        0.918,
+        0.9145,
+        0.9145,
+        0.9175,
+        0.915,
+        0.913,
+        0.9145,
+        0.9215,
+        0.916,
+        0.9195,
+        0.9215,
+        0.9215,
+        0.9185,
+        0.919,
+        0.921,
+        0.919,
+        0.9205,
+        0.9185,
+        0.9195,
+        0.918,
+        0.9195,
+        0.918,
+        0.9205,
+        0.9195,
+        0.9195,
+        0.9185,
+        0.92,
+        0.918,
+        0.919,
+        0.92,
+        0.9195,
+        0.919,
+        0.9185,
+        0.9185
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8029586672782898,
+        0.7900986075401306,
+        0.7753629684448242,
+        0.7581839561462402
+      ],
+      "perturbation_rho": [
+        0.999998927116394,
+        0.9999964237213135,
+        0.999983549118042,
+        0.9999468326568604
+      ],
+      "nudging": {
+        "0.001": [
+          -0.026280783116817474,
+          -0.012318434193730354,
+          -0.005662030540406704,
+          -0.002971941838040948
+        ],
+        "0.003": [
+          -0.07031507790088654,
+          -0.035108231008052826,
+          -0.016601495444774628,
+          -0.008812842890620232
+        ],
+        "0.01": [
+          -0.15638579428195953,
+          -0.09745092689990997,
+          -0.05102477967739105,
+          -0.028195563703775406
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.232069776535034,
+        1.370755326461792,
+        0.774408396434784,
+        0.5504122185230255,
+        0.4551778681755066,
+        0.39543955364227296,
+        0.3673446969985962,
+        0.37010820665359495,
+        0.40584990463256837,
+        0.36630872459411623,
+        0.3967540986061096,
+        0.3843751923561096,
+        0.4476522427558899,
+        0.42575200576782224,
+        0.42364864072799685,
+        0.38030472977161406,
+        0.4079951852798462,
+        0.46959167435765264,
+        0.4198760874271393,
+        0.468362246465683,
+        0.45476327400207517,
+        0.5178915981292724,
+        0.6004542631149292,
+        0.5163716057777404,
+        0.4734943875789642,
+        0.5516410438537598,
+        0.49744338874816896,
+        0.46432403774261477,
+        0.4892093751907349,
+        0.6200435506820678,
+        0.5751196828842163,
+        0.5928933774709702,
+        0.4814444019317627,
+        0.5967060979366302,
+        0.5415381860733032,
+        0.4497476665496826,
+        0.48320111837387086,
+        0.5223149719312787,
+        0.4452429738998413,
+        0.5263340139627457,
+        0.4467347893744707,
+        0.4445894860267639,
+        0.5922297267913819,
+        0.4209597279548645,
+        0.4198515675544739,
+        0.4481225758552551,
+        0.45345114040374757,
+        0.4496061055518687,
+        0.3991525866508484,
+        0.4271981393814087,
+        0.40415777770280836,
+        0.4262519637107849,
+        0.4017188970685005,
+        0.38243411012291906,
+        0.38553619861602784,
+        0.38307219924926755,
+        0.43748312458992006,
+        0.3661682406932116,
+        0.3464682363986969,
+        0.3526681913375854,
+        0.377327184009552,
+        0.3567724729537964,
+        0.37950509120225906,
+        0.3511497905731201,
+        0.36539844236373903,
+        0.3426241901397705,
+        0.3417411681175232,
+        0.33409423093795776,
+        0.3281999719619751,
+        0.33597293905615805,
+        0.32314492433071135,
+        0.32010074100494385,
+        0.3219986635684967,
+        0.3155823324203491,
+        0.3164848567008972,
+        0.3139919088840485,
+        0.3123295421615243,
+        0.3108947002887726,
+        0.31007582869529726,
+        0.30983073345422746
+      ],
+      "train_acc": [
+        0.1919,
+        0.5317,
+        0.7118,
+        0.7954,
+        0.8288,
+        0.8488,
+        0.8578,
+        0.8594,
+        0.8496,
+        0.8626,
+        0.855,
+        0.8624,
+        0.8463,
+        0.8538,
+        0.8558,
+        0.8662,
+        0.8636,
+        0.8532,
+        0.8616,
+        0.8542,
+        0.8592,
+        0.8472,
+        0.843,
+        0.8527,
+        0.8547,
+        0.8479,
+        0.8562,
+        0.8623,
+        0.8586,
+        0.8466,
+        0.8494,
+        0.8489,
+        0.8668,
+        0.8461,
+        0.8611,
+        0.8737,
+        0.867,
+        0.8596,
+        0.8767,
+        0.8588,
+        0.8748,
+        0.8759,
+        0.8555,
+        0.8829,
+        0.885,
+        0.8748,
+        0.8786,
+        0.8778,
+        0.8897,
+        0.8793,
+        0.8851,
+        0.8811,
+        0.885,
+        0.8887,
+        0.8917,
+        0.8912,
+        0.885,
+        0.8906,
+        0.8976,
+        0.8989,
+        0.8919,
+        0.8952,
+        0.8896,
+        0.8976,
+        0.8936,
+        0.8974,
+        0.8994,
+        0.8992,
+        0.9029,
+        0.9,
+        0.9028,
+        0.9031,
+        0.9044,
+        0.9036,
+        0.906,
+        0.905,
+        0.9046,
+        0.906,
+        0.9061,
+        0.906
+      ],
+      "test_acc": [
+        0.3785,
+        0.6325,
+        0.739,
+        0.789,
+        0.801,
+        0.8095,
+        0.826,
+        0.813,
+        0.8085,
+        0.814,
+        0.794,
+        0.7895,
+        0.7865,
+        0.7875,
+        0.815,
+        0.825,
+        0.83,
+        0.802,
+        0.7995,
+        0.81,
+        0.7955,
+        0.799,
+        0.7875,
+        0.8035,
+        0.7935,
+        0.7985,
+        0.8035,
+        0.811,
+        0.796,
+        0.8155,
+        0.805,
+        0.796,
+        0.7855,
+        0.804,
+        0.8,
+        0.825,
+        0.797,
+        0.7985,
+        0.8075,
+        0.822,
+        0.7985,
+        0.787,
+        0.8185,
+        0.832,
+        0.8345,
+        0.811,
+        0.8165,
+        0.826,
+        0.82,
+        0.8375,
+        0.8395,
+        0.8275,
+        0.823,
+        0.8325,
+        0.8375,
+        0.821,
+        0.833,
+        0.8355,
+        0.8435,
+        0.8365,
+        0.8435,
+        0.845,
+        0.8465,
+        0.8445,
+        0.8405,
+        0.847,
+        0.8445,
+        0.846,
+        0.848,
+        0.85,
+        0.847,
+        0.8445,
+        0.846,
+        0.8495,
+        0.848,
+        0.848,
+        0.85,
+        0.8505,
+        0.8515,
+        0.8515
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.014162426814436913,
+        0.0798005759716034,
+        0.09311279654502869,
+        0.10633827745914459
+      ],
+      "perturbation_rho": [
+        0.041398823261260986,
+        0.02247910387814045,
+        0.1714327037334442,
+        0.17666620016098022
+      ],
+      "nudging": {
+        "0.001": [
+          0.00017435633344575763,
+          -0.0005363107775337994,
+          -0.00033184929634444416,
+          -0.000325117347529158
+        ],
+        "0.003": [
+          0.000572163553442806,
+          -0.0016089004930108786,
+          -0.0009956255089491606,
+          -0.0009728462900966406
+        ],
+        "0.01": [
+          0.002492401283234358,
+          -0.005343085154891014,
+          -0.0033098761923611164,
+          -0.003237517550587654
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.8165535574913025,
+        0.763969938659668,
+        0.456514367723465,
+        0.4509699695587158,
+        0.5203996650695801,
+        0.5776345297813416,
+        0.5986223049163818,
+        0.6544226729393006,
+        0.7238446506500245,
+        0.7209402904510498,
+        0.694066102218628,
+        0.698754120349884,
+        0.7061762592315673,
+        0.7547999785423278,
+        0.7718533777236939,
+        0.7712728401184082,
+        0.7895807289123535,
+        0.772668758392334,
+        0.7529318264007568,
+        0.73342194814682,
+        0.7342669651985169,
+        0.7617962551116944,
+        0.7271483485221862,
+        0.7463216340065002,
+        0.7824168462753296,
+        0.7513881778717041,
+        0.7485483713150024,
+        0.8226748832702637,
+        0.7728332638740539,
+        0.7521475864410401,
+        0.8052359797477722,
+        0.7683963434219361,
+        0.839831940460205,
+        0.7288411888122559,
+        0.7234952001571655,
+        0.7603490391731262,
+        0.7802042022705078,
+        0.7887434216022492,
+        0.7879969930648804,
+        0.8280424799919128,
+        0.8189708654403687,
+        0.8561574056625366,
+        0.8539019847869873,
+        0.8538200400352478,
+        0.8228381202697754,
+        0.8735623681068421,
+        0.8707358804702758,
+        0.8457340757369995,
+        0.857807723236084,
+        0.8657875537872315,
+        0.867585726261139,
+        0.858120620059967,
+        0.8555149084091187,
+        0.8709949861526489,
+        0.85430686378479,
+        0.8638038631439209,
+        0.8486660203933716,
+        0.8263280488967896,
+        0.8541519875526429,
+        0.8399642889976502,
+        0.8300949808120728,
+        0.8287226734161377,
+        0.8489915835380554,
+        0.8436049571990967,
+        0.8391613592147827,
+        0.8280179216384888,
+        0.828670958518982,
+        0.8277772424697876,
+        0.8266226589202881,
+        0.8310329568862915,
+        0.8256790163040161,
+        0.8284158477783203,
+        0.8229934953689575,
+        0.8235222157478332,
+        0.8218230583190917,
+        0.8219074445724487,
+        0.8209780731201172,
+        0.8209145902633667,
+        0.8202378884792327,
+        0.819964693069458
+      ],
+      "train_acc": [
+        0.35,
+        0.7124,
+        0.8289,
+        0.8318,
+        0.8146,
+        0.7996,
+        0.7877,
+        0.7706,
+        0.7516,
+        0.7551,
+        0.7457,
+        0.7437,
+        0.746,
+        0.7313,
+        0.7343,
+        0.7337,
+        0.7323,
+        0.7287,
+        0.7311,
+        0.7381,
+        0.7416,
+        0.7315,
+        0.7451,
+        0.7449,
+        0.7389,
+        0.7512,
+        0.7488,
+        0.7377,
+        0.7446,
+        0.7504,
+        0.7324,
+        0.7408,
+        0.7233,
+        0.7466,
+        0.746,
+        0.7326,
+        0.7295,
+        0.726,
+        0.7213,
+        0.7144,
+        0.7167,
+        0.708,
+        0.7134,
+        0.7068,
+        0.7173,
+        0.7019,
+        0.7061,
+        0.7126,
+        0.7135,
+        0.704,
+        0.7062,
+        0.7064,
+        0.7148,
+        0.7132,
+        0.7086,
+        0.7095,
+        0.712,
+        0.7203,
+        0.7144,
+        0.7162,
+        0.7194,
+        0.7223,
+        0.717,
+        0.7173,
+        0.7179,
+        0.7248,
+        0.723,
+        0.7241,
+        0.7231,
+        0.7263,
+        0.7268,
+        0.7272,
+        0.7299,
+        0.7258,
+        0.7277,
+        0.7302,
+        0.7301,
+        0.7312,
+        0.7319,
+        0.7318
+      ],
+      "test_acc": [
+        0.591,
+        0.7695,
+        0.8165,
+        0.7925,
+        0.784,
+        0.7695,
+        0.7725,
+        0.7425,
+        0.7335,
+        0.7115,
+        0.716,
+        0.72,
+        0.707,
+        0.7115,
+        0.695,
+        0.7095,
+        0.6895,
+        0.68,
+        0.711,
+        0.7055,
+        0.7155,
+        0.711,
+        0.697,
+        0.69,
+        0.7035,
+        0.699,
+        0.697,
+        0.699,
+        0.7065,
+        0.6905,
+        0.6875,
+        0.698,
+        0.6785,
+        0.727,
+        0.6635,
+        0.684,
+        0.6395,
+        0.687,
+        0.6475,
+        0.66,
+        0.625,
+        0.6935,
+        0.6905,
+        0.695,
+        0.664,
+        0.6675,
+        0.675,
+        0.7065,
+        0.6715,
+        0.6965,
+        0.7105,
+        0.6765,
+        0.6785,
+        0.709,
+        0.676,
+        0.691,
+        0.696,
+        0.7165,
+        0.684,
+        0.6925,
+        0.697,
+        0.6985,
+        0.6935,
+        0.688,
+        0.71,
+        0.7075,
+        0.708,
+        0.713,
+        0.7145,
+        0.711,
+        0.7095,
+        0.711,
+        0.705,
+        0.7095,
+        0.709,
+        0.708,
+        0.7075,
+        0.707,
+        0.7085,
+        0.7085
+      ],
+      "state_pred_error": [
+        0.7406987041473388,
+        0.2411207477092743,
+        0.16255244364738464,
+        0.1493449520111084,
+        0.14992456312179567,
+        0.1555534377336502,
+        0.16155459024906157,
+        0.16035395340919495,
+        0.15258878574371337,
+        0.14208157248497008,
+        0.12504443428516387,
+        0.10508740864992142,
+        0.08725720175504685,
+        0.07344181394577026,
+        0.06654016046524047,
+        0.06139626076221466,
+        0.0560697415292263,
+        0.05169878583550453,
+        0.0489024289727211,
+        0.04750510221719742,
+        0.04499284594655037,
+        0.04229650926589966,
+        0.03862137130498886,
+        0.03419775420427323,
+        0.030702023059129713,
+        0.027638143730163576,
+        0.02521895556151867,
+        0.023234548729658126,
+        0.02125667086541653,
+        0.019339045375585555,
+        0.017155453544855117,
+        0.015024662992358207,
+        0.013225329960882664,
+        0.01183355233669281,
+        0.010222357726842164,
+        0.008752954179048538,
+        0.007925371387600898,
+        0.007087908421456813,
+        0.0065649920910596845,
+        0.005963414085656405,
+        0.005528712090849876,
+        0.005135756582021713,
+        0.004901659817993641,
+        0.004578842090815305,
+        0.004355525939539075,
+        0.004229336945712567,
+        0.004050217913836241,
+        0.003972229235991835,
+        0.0038215931802988053,
+        0.0038026397384703157,
+        0.0036524082466959954,
+        0.0036101686157286165,
+        0.0035772004246711732,
+        0.0035720416367053987,
+        0.0035359943974763155,
+        0.0035451125495135783,
+        0.0035574036099016667,
+        0.003586608001589775,
+        0.0035653520226478575,
+        0.003511827717348933,
+        0.003500817520916462,
+        0.0035023676201701164,
+        0.003476817812025547,
+        0.0034475730940699578,
+        0.0036353183921426536,
+        0.003350039096549153,
+        0.0032939229547977447,
+        0.003333185035735369,
+        0.003172698828577995,
+        0.003134825951978564,
+        0.00305225969851017,
+        0.003130577512830496,
+        0.0029675849348306657,
+        0.002851927667111158,
+        0.002880720941722393,
+        0.0027674298100173475,
+        0.0026737776212394236,
+        0.0025887268578633667,
+        0.0025455289104953406,
+        0.00247869050912559
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8312708735466003,
+        0.37615716457366943,
+        0.14436809718608856,
+        0.15281778573989868
+      ],
+      "perturbation_rho": [
+        0.7588610649108887,
+        0.34236449003219604,
+        0.14024245738983154,
+        0.13689765334129333
+      ],
+      "nudging": {
+        "0.001": [
+          -0.02127787098288536,
+          -0.0016070354031398892,
+          -0.0004922817461192608,
+          -0.0005490813055075705
+        ],
+        "0.003": [
+          -0.06277377903461456,
+          -0.004812953062355518,
+          -0.0014764359220862389,
+          -0.0016460102051496506
+        ],
+        "0.01": [
+          -0.19714727997779846,
+          -0.01597677543759346,
+          -0.004914070479571819,
+          -0.005477628670632839
+        ]
+      },
+      "state_pred_error_per_layer": [
+        2233.37158203125,
+        1546.82080078125,
+        996.9107666015625,
+        942.33251953125
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2263490732192994,
+        1.372786217880249,
+        0.7703747777938843,
+        0.5524767992019654,
+        0.4545511021375656,
+        0.39994027256965636,
+        0.3738175000190735,
+        0.38151370735168455,
+        0.3779865933179855,
+        0.3911576789855957,
+        0.3810564842700958,
+        0.40146919298171996,
+        0.42358366951942444,
+        0.4113857924461365,
+        0.4117763772964477,
+        0.4525391309261322,
+        0.4548126799583435,
+        0.45577107663154603,
+        0.48783650531768796,
+        0.5700982325077056,
+        0.5109643290996552,
+        0.5576292927265167,
+        0.6397031135559083,
+        0.8101890686035156,
+        0.7712644341468811,
+        0.7676936615467072,
+        0.7088435866355896,
+        0.785914805984497,
+        0.8963895021915436,
+        0.8323235744476318,
+        0.9798989505767822,
+        1.0398858805656432,
+        1.0301771236419677,
+        1.3176715976715088,
+        1.2662531551361085,
+        1.23117315826416,
+        1.3725950134277343,
+        1.2606015678405762,
+        1.2498836280822754,
+        1.1528087448120117,
+        1.1365314014434815,
+        1.085456252670288,
+        1.1133746538162232,
+        1.055409068107605,
+        1.0885181948661804,
+        1.06560675907135,
+        1.06901422996521,
+        1.0907034481048583,
+        1.1203149961471557,
+        1.0966930947303772,
+        1.0746682907104492,
+        1.1176004346847535,
+        1.1059717803955078,
+        1.1562017615318299,
+        1.11426555519104,
+        1.1417513759613036,
+        1.1444835793495178,
+        1.1437504034042358,
+        1.118238719177246,
+        1.140546536064148,
+        1.1898473086357118,
+        1.1313459493637086,
+        1.1391136680603027,
+        1.1409543603897094,
+        1.1357797542572021,
+        1.1393927207946777,
+        1.1443831789016723,
+        1.1221805687904358,
+        1.1213734807968139,
+        1.1244660341262818,
+        1.123013041496277,
+        1.1185321440696716,
+        1.1202873462677,
+        1.1144685082435608,
+        1.1160181922912598,
+        1.111833641242981,
+        1.1105434167861938,
+        1.1103411945343018,
+        1.1097975526809691,
+        1.109219861125946
+      ],
+      "train_acc": [
+        0.1894,
+        0.5237,
+        0.7185,
+        0.7925,
+        0.8291,
+        0.8455,
+        0.8551,
+        0.8513,
+        0.857,
+        0.8526,
+        0.863,
+        0.8587,
+        0.8524,
+        0.8549,
+        0.8546,
+        0.8499,
+        0.8552,
+        0.8539,
+        0.8483,
+        0.8349,
+        0.843,
+        0.832,
+        0.8112,
+        0.7818,
+        0.7819,
+        0.7829,
+        0.7821,
+        0.7697,
+        0.7412,
+        0.7477,
+        0.7172,
+        0.6987,
+        0.6913,
+        0.6398,
+        0.6421,
+        0.6419,
+        0.6205,
+        0.6293,
+        0.626,
+        0.629,
+        0.6315,
+        0.6442,
+        0.637,
+        0.6491,
+        0.6356,
+        0.6471,
+        0.6461,
+        0.6371,
+        0.6321,
+        0.6348,
+        0.6389,
+        0.6273,
+        0.6282,
+        0.6173,
+        0.629,
+        0.6242,
+        0.6275,
+        0.6208,
+        0.6292,
+        0.623,
+        0.6118,
+        0.6237,
+        0.6201,
+        0.6231,
+        0.6227,
+        0.6224,
+        0.6191,
+        0.6278,
+        0.6266,
+        0.6264,
+        0.6257,
+        0.6311,
+        0.6259,
+        0.6256,
+        0.6278,
+        0.6274,
+        0.6264,
+        0.6264,
+        0.6292,
+        0.6285
+      ],
+      "test_acc": [
+        0.393,
+        0.6405,
+        0.739,
+        0.789,
+        0.7975,
+        0.8,
+        0.8065,
+        0.8095,
+        0.817,
+        0.81,
+        0.8,
+        0.783,
+        0.8035,
+        0.8045,
+        0.7975,
+        0.793,
+        0.809,
+        0.8115,
+        0.7955,
+        0.775,
+        0.745,
+        0.7755,
+        0.7355,
+        0.7555,
+        0.7295,
+        0.751,
+        0.6925,
+        0.692,
+        0.688,
+        0.6855,
+        0.645,
+        0.65,
+        0.607,
+        0.6235,
+        0.5915,
+        0.5015,
+        0.5855,
+        0.61,
+        0.5945,
+        0.585,
+        0.6215,
+        0.608,
+        0.6155,
+        0.6135,
+        0.568,
+        0.627,
+        0.5985,
+        0.6045,
+        0.6145,
+        0.6265,
+        0.5945,
+        0.6045,
+        0.5915,
+        0.5945,
+        0.602,
+        0.609,
+        0.6035,
+        0.597,
+        0.5985,
+        0.5695,
+        0.5985,
+        0.6155,
+        0.5825,
+        0.609,
+        0.6235,
+        0.6,
+        0.6115,
+        0.6125,
+        0.612,
+        0.614,
+        0.601,
+        0.6125,
+        0.6175,
+        0.6085,
+        0.616,
+        0.615,
+        0.614,
+        0.6185,
+        0.618,
+        0.6185
+      ],
+      "value_loss": [
+        3.004816132736206,
+        0.8933181741714478,
+        0.7472914004325867,
+        0.6198880924224853,
+        0.49928864874839785,
+        0.4533773046016693,
+        0.41804420566558836,
+        0.45496133618354795,
+        0.4769261270999908,
+        0.5447554382324219,
+        0.5463610198974609,
+        0.6101527583122254,
+        0.7323229121208191,
+        0.654146611404419,
+        0.6980391006469726,
+        0.758187972164154,
+        0.911613033914566,
+        0.909905999135971,
+        0.9661141172409058,
+        1.3761654232025147,
+        1.0848820183753967,
+        1.2143970355033875,
+        1.3779391033172608,
+        2.1276612579345704,
+        1.9363042541503905,
+        1.8150593336105347,
+        1.4350913431167602,
+        1.5015435070037841,
+        1.659292702293396,
+        1.4041105354309082,
+        1.84923672208786,
+        1.7862740999221802,
+        1.6408020364761353,
+        2.2555280582427977,
+        1.91716297416687,
+        2.0696146953582764,
+        2.0709165517807007,
+        1.5185432472229003,
+        1.4409057436943054,
+        1.1394924449920654,
+        1.0243006755828858,
+        0.952573077583313,
+        0.9513341785430908,
+        0.7820314357757568,
+        0.8732357313156128,
+        0.8816683463096618,
+        0.955579030418396,
+        0.8554625137329102,
+        0.8710546495437622,
+        0.8312881650686264,
+        0.7633189420700073,
+        0.8019674183368682,
+        0.7328131550788879,
+        0.801051020526886,
+        0.746859469127655,
+        0.7501679012298584,
+        0.8011223143577576,
+        0.7507512192726136,
+        0.6851235778808594,
+        0.7360683244705201,
+        0.8436295459747315,
+        0.6853977672576904,
+        0.7055689754962922,
+        0.7252059488296508,
+        0.6784087018966675,
+        0.6884294319152832,
+        0.6989397154808045,
+        0.6959970206737518,
+        0.6631160745620728,
+        0.6498185919761658,
+        0.6508113729476929,
+        0.6804374390363693,
+        0.6624282342433929,
+        0.6588281253814697,
+        0.6378821391105652,
+        0.640788054561615,
+        0.6657872777938842,
+        0.6686323991775512,
+        0.6098757619857789,
+        0.64283842253685
+      ],
+      "term_loss": [
+        1.7359011996269227,
+        0.5260857672214508,
+        0.5611789356231689,
+        0.4691473718643189,
+        0.35641581667661665,
+        0.3125099868893623,
+        0.28558482496738435,
+        0.32663789620399475,
+        0.3523272558569908,
+        0.41566965317726134,
+        0.4220249535560608,
+        0.47944155356884005,
+        0.5941028877735138,
+        0.5197371693611145,
+        0.5607707057952881,
+        0.6142034781694412,
+        0.7705422173976898,
+        0.763801922082901,
+        0.8096324970245361,
+        1.2002689853668214,
+        0.9151784264802932,
+        1.0354011665344238,
+        1.1660207389831543,
+        1.8696075149536133,
+        1.6795126104354858,
+        1.5453345759391786,
+        1.1913600902557373,
+        1.2338994720458984,
+        1.3612283717632294,
+        1.109708225631714,
+        1.4900855154037476,
+        1.4270168464899062,
+        1.2386046768188477,
+        1.7514031993865966,
+        1.4141266151428222,
+        1.5366581008911133,
+        1.5076081205368042,
+        1.039527117919922,
+        0.9725380240678787,
+        0.7177947400093079,
+        0.6169520056724548,
+        0.5577969770908355,
+        0.563669540643692,
+        0.4297081172943115,
+        0.5087772935390472,
+        0.5115473824501038,
+        0.5738656369566918,
+        0.47277311363220215,
+        0.4845442730903626,
+        0.4545265218049288,
+        0.4000856671333313,
+        0.43755345803499224,
+        0.3792450759291649,
+        0.43464683275222776,
+        0.39024128130078317,
+        0.39411039242744444,
+        0.43523220192193984,
+        0.38444877996444704,
+        0.3343185415267944,
+        0.3722025054931641,
+        0.4684031509578228,
+        0.3343300027370453,
+        0.3471951293349266,
+        0.36705848178863526,
+        0.3202661802768707,
+        0.3312775411605835,
+        0.3410617515563965,
+        0.33340463732481,
+        0.3072166344404221,
+        0.29471828541755674,
+        0.2949522229194641,
+        0.31957108319103716,
+        0.3035339130759239,
+        0.2962215082168579,
+        0.28110803384780886,
+        0.28337024407982825,
+        0.2973673318624496,
+        0.2999136340618134,
+        0.2588910343647003,
+        0.27786159224510193
+      ],
+      "bridge_loss": [
+        0.9794838696058141,
+        0.11249453027248382,
+        0.013401159876585007,
+        0.007677992886304856,
+        0.01801637165695429,
+        0.02459342247545719,
+        0.019867657536268235,
+        0.010635345739126206,
+        0.00908683493360877,
+        0.009039432242512703,
+        0.009218453142046928,
+        0.010305291563272477,
+        0.011811628636717796,
+        0.01096362564265728,
+        0.01361604914739728,
+        0.012970232439041138,
+        0.013068722119927406,
+        0.018890924017131328,
+        0.018672959452867507,
+        0.023511534203588962,
+        0.025741635078191757,
+        0.024518935614824294,
+        0.03324915931224823,
+        0.04982591823339462,
+        0.05101719571352005,
+        0.06563201041221618,
+        0.044432207286357876,
+        0.05200507060289383,
+        0.05663267287313938,
+        0.06122437345683575,
+        0.09713461356163025,
+        0.08438427854776383,
+        0.12429943964481353,
+        0.17007733018398286,
+        0.17665135183334352,
+        0.21057933068275453,
+        0.21602974219322205,
+        0.14426904811859131,
+        0.13473433861136436,
+        0.10179099024534226,
+        0.08914142102003098,
+        0.08567614158391952,
+        0.07007606126666069,
+        0.047469612443447114,
+        0.05075395459234715,
+        0.06365043853521347,
+        0.07418297004699707,
+        0.06664204177856445,
+        0.06561652043461799,
+        0.06254049949645996,
+        0.05376743358373642,
+        0.04661431121826172,
+        0.03791740040183067,
+        0.04112119258642197,
+        0.03973115736246109,
+        0.034634311696887014,
+        0.04343570882081985,
+        0.0430182372033596,
+        0.033620422554016115,
+        0.040651659190654756,
+        0.043216560313105584,
+        0.031511343681812284,
+        0.036411886563897135,
+        0.03738419352769852,
+        0.03682520034611225,
+        0.034867337346076964,
+        0.03554496579170227,
+        0.043571460396051406,
+        0.0371383314371109,
+        0.035206140625476834,
+        0.0369823433637619,
+        0.04330120563060045,
+        0.04176451569497585,
+        0.04561741124391556,
+        0.039754482871294024,
+        0.04048171340227127,
+        0.05201617316007614,
+        0.05216843712329865,
+        0.03526896152496338,
+        0.049283357608318326
+      ],
+      "tgrad_loss": [
+        0.2894310550689697,
+        0.2547378748416901,
+        0.17271129739284516,
+        0.1430627270460129,
+        0.1248564649105072,
+        0.11627389514446258,
+        0.11259172101020813,
+        0.1176880983710289,
+        0.11551203546524048,
+        0.12004635149240493,
+        0.11511761043071747,
+        0.12040591526031494,
+        0.1264083997964859,
+        0.12344581875801086,
+        0.12365235378742218,
+        0.13101426265239716,
+        0.1280020892560482,
+        0.12721314759254457,
+        0.13780866494178773,
+        0.1523849036693573,
+        0.14396195166707038,
+        0.15447694187164307,
+        0.17866920418739318,
+        0.20822782695293426,
+        0.20577443714141846,
+        0.2040927549123764,
+        0.19929904541969298,
+        0.2156389590740204,
+        0.24143166477680206,
+        0.2331779284954071,
+        0.26201657457351685,
+        0.274872963142395,
+        0.2778979238986969,
+        0.334047527551651,
+        0.32638501477241516,
+        0.32237726650238036,
+        0.34727867908477783,
+        0.33474707689285277,
+        0.33363337812423705,
+        0.3199067116737366,
+        0.3182072554111481,
+        0.3090999599933624,
+        0.31758857402801516,
+        0.3048537001132965,
+        0.31370448632240294,
+        0.30647052822113036,
+        0.3075304272651672,
+        0.3160473554611206,
+        0.3208938479423523,
+        0.31422114033699033,
+        0.30946583948135375,
+        0.31779965109825137,
+        0.3156506803035736,
+        0.3252829941034317,
+        0.3168870292663574,
+        0.32142319972515104,
+        0.32245441007614134,
+        0.32328419771194455,
+        0.3171846125602722,
+        0.323214160490036,
+        0.3320098324775696,
+        0.3195564209461212,
+        0.32196195921897885,
+        0.32076327590942383,
+        0.3213173161506653,
+        0.32228455266952516,
+        0.3223330054283142,
+        0.31902092423439027,
+        0.3187611020565033,
+        0.3198941662788391,
+        0.3188768042564392,
+        0.31756515197753904,
+        0.3171298073768616,
+        0.3169892092704773,
+        0.317019620513916,
+        0.3169361008644104,
+        0.3164037714958191,
+        0.31655032963752744,
+        0.3157157658576965,
+        0.31569347660541536
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.048861026763916016,
+        0.17950567603111267,
+        0.17905107140541077,
+        0.20378535985946655
+      ],
+      "perturbation_rho": [
+        0.07314518839120865,
+        0.3309200406074524,
+        0.2789418697357178,
+        0.3722173571586609
+      ],
+      "nudging": {
+        "0.001": [
+          -0.001814256189391017,
+          -0.0014669791562482715,
+          -0.001451535033993423,
+          -0.0015372845809906721
+        ],
+        "0.003": [
+          -0.005412348546087742,
+          -0.004398588091135025,
+          -0.004352094605565071,
+          -0.004607163369655609
+        ],
+        "0.01": [
+          -0.017692390829324722,
+          -0.014619983732700348,
+          -0.014469930902123451,
+          -0.015315238386392593
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L8_s123.json b/results/synth_ladder_v2_lo/synth_a0.25_L8_s123.json
new file mode 100644
index 0000000..93d3f69
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L8_s123.json
@@ -0,0 +1,1638 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.1118465336799621,
+        0.5127583791732788,
+        0.4302346032857895,
+        0.37507710180282594,
+        0.37874902119636533,
+        0.358110169172287,
+        0.35485055913925173,
+        0.33637689504623414,
+        0.3376781231403351,
+        0.3360303322792053,
+        0.31282922410964964,
+        0.3255835328102112,
+        0.3264058362007141,
+        0.2988388967514038,
+        0.30576341066360474,
+        0.24885234112739563,
+        0.2645626920938492,
+        0.23710116493701935,
+        0.24498434176445008,
+        0.25262943110466,
+        0.2529470352172852,
+        0.20808778538703918,
+        0.2323320601463318,
+        0.23393779978752136,
+        0.21029739031791686,
+        0.24577522869110108,
+        0.22287568016052245,
+        0.19683470277786255,
+        0.1955713812351227,
+        0.17762795400619508,
+        0.1949590757369995,
+        0.18015179319381713,
+        0.1866455442428589,
+        0.17878031969070435,
+        0.19590353157520293,
+        0.1689172378182411,
+        0.15855673022270203,
+        0.15442313380241393,
+        0.16103034844398498,
+        0.18334496784210205,
+        0.16386926609277724,
+        0.1371785285949707,
+        0.16594724979400635,
+        0.14151557245254517,
+        0.14597930274009704,
+        0.1496479096889496,
+        0.13319487171173094,
+        0.11989519445896149,
+        0.12711271942853927,
+        0.11571666107177735,
+        0.11865356831550598,
+        0.11254985160827637,
+        0.11379962211847305,
+        0.10502011337280273,
+        0.10288234763145447,
+        0.10125789151191711,
+        0.10343788154125214,
+        0.10045303144454956,
+        0.09661244961619377,
+        0.09317599536180496,
+        0.09172046147584915,
+        0.08994480850696564,
+        0.08916794685721398,
+        0.08730547853112221,
+        0.08572156699895858,
+        0.08500556135177613,
+        0.08433900206089019,
+        0.08323287000656128,
+        0.0837702313899994,
+        0.0822386646747589,
+        0.08129152666330337,
+        0.08034330849051476,
+        0.0798836398601532,
+        0.07978663072586059,
+        0.07928232147693634,
+        0.07865171662569045,
+        0.07832024211883545,
+        0.07813211903572083,
+        0.07798754007816315,
+        0.0779093979716301
+      ],
+      "train_acc": [
+        0.6131,
+        0.8006,
+        0.8286,
+        0.8535,
+        0.85,
+        0.8578,
+        0.8604,
+        0.8656,
+        0.8674,
+        0.8656,
+        0.8772,
+        0.8694,
+        0.8738,
+        0.8861,
+        0.8785,
+        0.9037,
+        0.893,
+        0.9038,
+        0.9026,
+        0.9001,
+        0.9007,
+        0.9186,
+        0.9088,
+        0.9052,
+        0.9204,
+        0.9002,
+        0.9107,
+        0.9242,
+        0.9226,
+        0.9326,
+        0.922,
+        0.9286,
+        0.9288,
+        0.9285,
+        0.9246,
+        0.934,
+        0.9397,
+        0.9436,
+        0.939,
+        0.9281,
+        0.9353,
+        0.9521,
+        0.9383,
+        0.9485,
+        0.9444,
+        0.9469,
+        0.9521,
+        0.9613,
+        0.9543,
+        0.96,
+        0.9607,
+        0.9629,
+        0.9618,
+        0.9687,
+        0.9691,
+        0.9694,
+        0.9674,
+        0.9696,
+        0.9733,
+        0.9745,
+        0.9762,
+        0.9756,
+        0.9756,
+        0.9781,
+        0.979,
+        0.9801,
+        0.9806,
+        0.9814,
+        0.9808,
+        0.9821,
+        0.9825,
+        0.9836,
+        0.9836,
+        0.9833,
+        0.9839,
+        0.9844,
+        0.9849,
+        0.9851,
+        0.9853,
+        0.9854
+      ],
+      "test_acc": [
+        0.813,
+        0.837,
+        0.8425,
+        0.8485,
+        0.8455,
+        0.8655,
+        0.8635,
+        0.8605,
+        0.8615,
+        0.865,
+        0.867,
+        0.856,
+        0.874,
+        0.8745,
+        0.867,
+        0.874,
+        0.8805,
+        0.8845,
+        0.88,
+        0.8655,
+        0.8795,
+        0.8875,
+        0.8735,
+        0.884,
+        0.883,
+        0.872,
+        0.882,
+        0.8835,
+        0.889,
+        0.8835,
+        0.8805,
+        0.8945,
+        0.8845,
+        0.879,
+        0.8805,
+        0.8875,
+        0.8875,
+        0.893,
+        0.887,
+        0.8885,
+        0.888,
+        0.888,
+        0.888,
+        0.89,
+        0.8915,
+        0.8925,
+        0.8985,
+        0.887,
+        0.897,
+        0.8925,
+        0.892,
+        0.897,
+        0.891,
+        0.8965,
+        0.892,
+        0.8875,
+        0.8985,
+        0.89,
+        0.8895,
+        0.893,
+        0.8935,
+        0.896,
+        0.893,
+        0.891,
+        0.894,
+        0.893,
+        0.896,
+        0.8975,
+        0.8955,
+        0.8945,
+        0.896,
+        0.8965,
+        0.8955,
+        0.894,
+        0.893,
+        0.895,
+        0.895,
+        0.8955,
+        0.8955,
+        0.896
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8995364308357239,
+        0.8806806802749634,
+        0.8653636574745178,
+        0.852218508720398,
+        0.8451849222183228,
+        0.8416627645492554,
+        0.8401176333427429,
+        0.8391873240470886
+      ],
+      "perturbation_rho": [
+        0.9999992251396179,
+        0.9999973773956299,
+        0.9999878406524658,
+        0.9999729990959167,
+        0.9999438524246216,
+        0.9999128580093384,
+        0.9999063611030579,
+        0.9998599290847778
+      ],
+      "nudging": {
+        "0.001": [
+          -0.031149130314588547,
+          -0.015606172382831573,
+          -0.008217571303248405,
+          -0.0049289376474916935,
+          -0.0034725882578641176,
+          -0.0027561166789382696,
+          -0.002373086055740714,
+          -0.0021542953327298164
+        ],
+        "0.003": [
+          -0.08652011305093765,
+          -0.045093510299921036,
+          -0.02417786791920662,
+          -0.01461886614561081,
+          -0.010336171835660934,
+          -0.008218012750148773,
+          -0.00708259642124176,
+          -0.006432861555367708
+        ],
+        "0.01": [
+          -0.2192329615354538,
+          -0.13158643245697021,
+          -0.07524827122688293,
+          -0.04681030660867691,
+          -0.03351406753063202,
+          -0.026811176910996437,
+          -0.02318240888416767,
+          -0.02109483815729618
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.261511936378479,
+        1.2388046113967897,
+        0.7586671992301941,
+        0.6045363289833069,
+        0.5250408117294312,
+        0.48988793330192565,
+        0.5181452042102813,
+        0.5053172904968262,
+        0.5486225427627563,
+        0.5680201857566833,
+        0.5442982167243957,
+        0.5434341896057129,
+        0.5798220394134521,
+        0.6215977661132812,
+        0.6024371314048768,
+        0.6234730455398559,
+        0.7227652837753296,
+        0.677713514328003,
+        0.7502383768081665,
+        0.6929981166839599,
+        0.7150569809913635,
+        0.7497701435089111,
+        0.7523667077064514,
+        0.6890098321437835,
+        0.7717183069229125,
+        0.8535002285003662,
+        0.8195102759838104,
+        0.7173164275169372,
+        0.7014232642412186,
+        0.715224802017212,
+        0.8105577381134034,
+        0.7098001989364624,
+        0.708190748167038,
+        0.6264257973670959,
+        0.6868150623321533,
+        0.8327555156707763,
+        0.6983069515705108,
+        0.5560035873413086,
+        0.5894664196968079,
+        0.6142511510848999,
+        0.6013524094581604,
+        0.6179712162017822,
+        0.6110873061180114,
+        0.631993100976944,
+        0.5848042451381683,
+        0.5451607653617859,
+        0.5357456830024719,
+        0.5887676968812943,
+        0.4930126025676727,
+        0.48339043197631837,
+        0.5699405021667481,
+        0.46138914337158204,
+        0.5336585921287537,
+        0.49541006507873536,
+        0.48422760076522825,
+        0.47822090463638306,
+        0.43970393233299254,
+        0.42637463035583495,
+        0.4183799235343933,
+        0.4340782505989075,
+        0.41429271087646485,
+        0.4338860253572464,
+        0.4003063027858734,
+        0.3960654589653015,
+        0.3939968942642212,
+        0.4079068598270416,
+        0.38723310424238444,
+        0.37670145826339724,
+        0.3791983846902847,
+        0.3762376324176788,
+        0.37861898155212403,
+        0.3750154300689697,
+        0.3714167318344116,
+        0.36765710716247557,
+        0.3650678370475769,
+        0.3651044800758362,
+        0.3632787693023682,
+        0.3633064881324768,
+        0.3616319328308105,
+        0.36102755069732667
+      ],
+      "train_acc": [
+        0.1812,
+        0.5543,
+        0.7177,
+        0.7696,
+        0.8019,
+        0.8181,
+        0.8078,
+        0.8178,
+        0.8087,
+        0.811,
+        0.8164,
+        0.8208,
+        0.8133,
+        0.8118,
+        0.8191,
+        0.8137,
+        0.7918,
+        0.8062,
+        0.796,
+        0.8068,
+        0.808,
+        0.8087,
+        0.8089,
+        0.8194,
+        0.7966,
+        0.7969,
+        0.8,
+        0.8094,
+        0.8111,
+        0.8104,
+        0.7975,
+        0.8106,
+        0.8132,
+        0.8255,
+        0.8132,
+        0.8011,
+        0.8157,
+        0.8347,
+        0.8276,
+        0.8217,
+        0.8287,
+        0.823,
+        0.8201,
+        0.8186,
+        0.8244,
+        0.8276,
+        0.8337,
+        0.8308,
+        0.8433,
+        0.8451,
+        0.8317,
+        0.8506,
+        0.8363,
+        0.8437,
+        0.8446,
+        0.8477,
+        0.8536,
+        0.8539,
+        0.8546,
+        0.8535,
+        0.8587,
+        0.8539,
+        0.8631,
+        0.8665,
+        0.8647,
+        0.8588,
+        0.8681,
+        0.8706,
+        0.8658,
+        0.8695,
+        0.8679,
+        0.8699,
+        0.8709,
+        0.8686,
+        0.8715,
+        0.8716,
+        0.8723,
+        0.8723,
+        0.8727,
+        0.8733
+      ],
+      "test_acc": [
+        0.3855,
+        0.659,
+        0.7405,
+        0.76,
+        0.7855,
+        0.7495,
+        0.7865,
+        0.7785,
+        0.749,
+        0.7695,
+        0.799,
+        0.774,
+        0.773,
+        0.77,
+        0.738,
+        0.753,
+        0.759,
+        0.774,
+        0.7425,
+        0.7075,
+        0.7635,
+        0.7665,
+        0.7655,
+        0.74,
+        0.7105,
+        0.7445,
+        0.778,
+        0.7455,
+        0.7895,
+        0.7475,
+        0.7935,
+        0.756,
+        0.78,
+        0.765,
+        0.73,
+        0.734,
+        0.7685,
+        0.8075,
+        0.799,
+        0.7535,
+        0.797,
+        0.754,
+        0.759,
+        0.7985,
+        0.81,
+        0.7925,
+        0.772,
+        0.7925,
+        0.8055,
+        0.7655,
+        0.8105,
+        0.7975,
+        0.7865,
+        0.795,
+        0.8045,
+        0.8255,
+        0.824,
+        0.808,
+        0.8165,
+        0.817,
+        0.812,
+        0.816,
+        0.826,
+        0.826,
+        0.827,
+        0.835,
+        0.8315,
+        0.8255,
+        0.829,
+        0.8355,
+        0.827,
+        0.8385,
+        0.833,
+        0.835,
+        0.8305,
+        0.8375,
+        0.8345,
+        0.835,
+        0.8335,
+        0.833
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.030230171978473663,
+        0.1515132635831833,
+        0.08784028142690659,
+        0.07231537997722626,
+        0.09554086625576019,
+        0.09082843363285065,
+        0.05412551760673523,
+        0.0802278220653534
+      ],
+      "perturbation_rho": [
+        0.04074572026729584,
+        0.1662997603416443,
+        0.08309999853372574,
+        0.07389070093631744,
+        0.14882703125476837,
+        0.04519672691822052,
+        0.0252661295235157,
+        0.13430552184581757
+      ],
+      "nudging": {
+        "0.001": [
+          0.0013187117874622345,
+          -0.00048215428250841796,
+          -0.0002008694427786395,
+          -0.00015290860028471798,
+          -0.0002134581736754626,
+          -0.00020460024825297296,
+          -0.00012665732356254011,
+          -0.00018164707580581307
+        ],
+        "0.003": [
+          0.0040077767334878445,
+          -0.0014419222716242075,
+          -0.0006034976686351001,
+          -0.00045742784277535975,
+          -0.0006395922391675413,
+          -0.0006131009431555867,
+          -0.00037914267159067094,
+          -0.0005448061274364591
+        ],
+        "0.01": [
+          0.013973418623209,
+          -0.0047885943204164505,
+          -0.0020089128520339727,
+          -0.0015227446565404534,
+          -0.002120924647897482,
+          -0.0020366935059428215,
+          -0.001262089004740119,
+          -0.0018124101916328073
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.6900189414978026,
+        0.8411433074951172,
+        0.7035821089744568,
+        0.7662129473209381,
+        0.9238048450469971,
+        0.9465261736869812,
+        0.9431295600891113,
+        0.9430153847694397,
+        0.8930066148757935,
+        0.9253942659378052,
+        0.9403049263000488,
+        0.9278807380676269,
+        0.8983365282058716,
+        0.9111938871383667,
+        0.9078270839691163,
+        0.8715127088546752,
+        0.8760508625030518,
+        0.881078330039978,
+        0.9000071779251099,
+        0.8816269577026368,
+        0.8535635885238647,
+        0.8596017469406128,
+        0.8243531321525573,
+        0.7686523287773133,
+        0.7980530646324158,
+        0.8087049605369568,
+        0.837258325958252,
+        0.8231134150981904,
+        0.7930005051612854,
+        0.8175304112434387,
+        0.8106185255527496,
+        0.8360982533454895,
+        0.8089555241584778,
+        0.801400167274475,
+        0.7769281364440918,
+        0.7804566509246826,
+        0.8003368796348572,
+        0.7595265312194824,
+        0.7870783394813538,
+        0.7793847578048706,
+        0.7527281112670898,
+        0.7428017363548279,
+        0.7277878652572631,
+        0.7209976235866546,
+        0.6881004619121551,
+        0.6684544267654419,
+        0.6671716670036316,
+        0.6666352137565613,
+        0.6382144281387329,
+        0.6509482036590576,
+        0.6767562778472901,
+        0.654830322265625,
+        0.6389662846565246,
+        0.6350968457221985,
+        0.6284485641479493,
+        0.647821770477295,
+        0.6315829051017762,
+        0.6223490614891052,
+        0.6269909280776977,
+        0.6192478479385376,
+        0.6175517374992371,
+        0.6139361786365509,
+        0.609162579536438,
+        0.6077277057647705,
+        0.6055359146118164,
+        0.6021604907035828,
+        0.5979869828224182,
+        0.5947234419345856,
+        0.5964722720146179,
+        0.590346819114685,
+        0.5898373236656189,
+        0.5876562358856201,
+        0.5882755388259888,
+        0.5854528706550598,
+        0.5841325942993164,
+        0.5842094928741455,
+        0.5827160774230957,
+        0.5819865200996399,
+        0.5816016881942749,
+        0.5813780869483948
+      ],
+      "train_acc": [
+        0.3832,
+        0.6771,
+        0.7406,
+        0.7347,
+        0.71,
+        0.7016,
+        0.686,
+        0.678,
+        0.6834,
+        0.6698,
+        0.6698,
+        0.6718,
+        0.6788,
+        0.6772,
+        0.6813,
+        0.691,
+        0.6899,
+        0.695,
+        0.6891,
+        0.6964,
+        0.707,
+        0.7036,
+        0.7172,
+        0.7299,
+        0.7151,
+        0.7181,
+        0.7095,
+        0.7151,
+        0.7253,
+        0.7209,
+        0.7192,
+        0.7166,
+        0.7258,
+        0.725,
+        0.7318,
+        0.7339,
+        0.7231,
+        0.7392,
+        0.7281,
+        0.7321,
+        0.7389,
+        0.7402,
+        0.7472,
+        0.7497,
+        0.7526,
+        0.7587,
+        0.7684,
+        0.7649,
+        0.7713,
+        0.7675,
+        0.7624,
+        0.7696,
+        0.7703,
+        0.7689,
+        0.7748,
+        0.7647,
+        0.7778,
+        0.7745,
+        0.7737,
+        0.7737,
+        0.7767,
+        0.7766,
+        0.777,
+        0.7776,
+        0.7778,
+        0.7808,
+        0.7852,
+        0.7824,
+        0.783,
+        0.7826,
+        0.7859,
+        0.7833,
+        0.7826,
+        0.784,
+        0.7842,
+        0.7835,
+        0.7839,
+        0.7845,
+        0.7851,
+        0.7849
+      ],
+      "test_acc": [
+        0.5965,
+        0.721,
+        0.702,
+        0.7045,
+        0.673,
+        0.663,
+        0.659,
+        0.6615,
+        0.6405,
+        0.6295,
+        0.6435,
+        0.66,
+        0.642,
+        0.628,
+        0.654,
+        0.6645,
+        0.66,
+        0.673,
+        0.6645,
+        0.6425,
+        0.667,
+        0.6895,
+        0.692,
+        0.699,
+        0.6915,
+        0.655,
+        0.6745,
+        0.688,
+        0.694,
+        0.6655,
+        0.6765,
+        0.7015,
+        0.7005,
+        0.691,
+        0.7035,
+        0.7115,
+        0.715,
+        0.6985,
+        0.698,
+        0.7125,
+        0.7095,
+        0.728,
+        0.7225,
+        0.732,
+        0.725,
+        0.738,
+        0.74,
+        0.728,
+        0.733,
+        0.744,
+        0.736,
+        0.7385,
+        0.7385,
+        0.7355,
+        0.7405,
+        0.741,
+        0.7445,
+        0.744,
+        0.7515,
+        0.7385,
+        0.755,
+        0.754,
+        0.752,
+        0.7495,
+        0.75,
+        0.7515,
+        0.7495,
+        0.748,
+        0.752,
+        0.7535,
+        0.7515,
+        0.75,
+        0.754,
+        0.752,
+        0.7535,
+        0.751,
+        0.752,
+        0.7525,
+        0.753,
+        0.753
+      ],
+      "state_pred_error": [
+        0.6595856385231018,
+        0.18581391699314118,
+        0.1389737048149109,
+        0.15264776089191437,
+        0.17834623737335206,
+        0.19413653922080992,
+        0.191989035487175,
+        0.1882333307504654,
+        0.17752823297977446,
+        0.17005732750892638,
+        0.15737969760894777,
+        0.14760457775592803,
+        0.13923091561794282,
+        0.13096291363239287,
+        0.11957425270080567,
+        0.11095487377643586,
+        0.10258402088880539,
+        0.09473015838861465,
+        0.08757123013734817,
+        0.08079066828489304,
+        0.07320248563289643,
+        0.06493292402625084,
+        0.06027614688873291,
+        0.055440726804733276,
+        0.05134773366451263,
+        0.04849834374189377,
+        0.04514253498911858,
+        0.04645976569652557,
+        0.04907238126993179,
+        0.04952519537210465,
+        0.04985421462655067,
+        0.05048102289438248,
+        0.04867895898222923,
+        0.04612752487659454,
+        0.04500051750540733,
+        0.045100632554292676,
+        0.046106376844644546,
+        0.0457755237698555,
+        0.04623996165394783,
+        0.04506723956465721,
+        0.043494783210754395,
+        0.04170223961472511,
+        0.03998277345299721,
+        0.03828683572411537,
+        0.03590715619921684,
+        0.03458526620268822,
+        0.03327381777763367,
+        0.03220812490582466,
+        0.03136191112399101,
+        0.02989975645840168,
+        0.02867936817407608,
+        0.027766828721761703,
+        0.02639162071943283,
+        0.025170314267277717,
+        0.02407517617344856,
+        0.023122122532129287,
+        0.022436111107468605,
+        0.02156193360090256,
+        0.021339575743675232,
+        0.020296311607956887,
+        0.019706446814537048,
+        0.019259731712937354,
+        0.018796706795692442,
+        0.018336333370208742,
+        0.01777996554672718,
+        0.017483672569692136,
+        0.017091735473275183,
+        0.016544194155931474,
+        0.016263828212022782,
+        0.015896252320706843,
+        0.015430272005498409,
+        0.015053019705414773,
+        0.014817306607961654,
+        0.01454771189391613,
+        0.01425941243469715,
+        0.013928838320076466,
+        0.013689049163460731,
+        0.013394512391090393,
+        0.013211432878673077,
+        0.013250160820782184
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8559742569923401,
+        0.48324936628341675,
+        0.20313377678394318,
+        0.15002062916755676,
+        0.13207414746284485,
+        0.11473802477121353,
+        0.10703189671039581,
+        0.10419630259275436
+      ],
+      "perturbation_rho": [
+        0.712527871131897,
+        0.4307812452316284,
+        0.20181137323379517,
+        0.13881561160087585,
+        0.15075963735580444,
+        0.09288278967142105,
+        0.0890430212020874,
+        0.0776105523109436
+      ],
+      "nudging": {
+        "0.001": [
+          -0.022853977978229523,
+          -0.0013667396269738674,
+          -0.0004074485623277724,
+          -0.00029726148932240903,
+          -0.0002571522491052747,
+          -0.00022330728825181723,
+          -0.00020516786025837064,
+          -0.0002069434995064512
+        ],
+        "0.003": [
+          -0.06612209230661392,
+          -0.004091121722012758,
+          -0.001220933860167861,
+          -0.0008915449725463986,
+          -0.0007706802571192384,
+          -0.0006697832723148167,
+          -0.0006152803543955088,
+          -0.0006209201528690755
+        ],
+        "0.01": [
+          -0.19413721561431885,
+          -0.013532894663512707,
+          -0.004060069564729929,
+          -0.0029658200219273567,
+          -0.00256463885307312,
+          -0.0022291922941803932,
+          -0.00204793200828135,
+          -0.002066785003989935
+        ]
+      },
+      "state_pred_error_per_layer": [
+        8381.830078125,
+        6536.470703125,
+        4195.43359375,
+        3240.16162109375,
+        3085.78857421875,
+        3078.50390625,
+        3156.81787109375,
+        3267.9345703125
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.2583779270172117,
+        1.2328803764343261,
+        0.7562720144271851,
+        0.6132963244438171,
+        0.5287181121349335,
+        0.5030574288368225,
+        0.48532198963165285,
+        0.4846679763793945,
+        0.5304994377136231,
+        0.5362592101097107,
+        0.583180138206482,
+        0.6139261585235596,
+        0.6087016160964965,
+        0.5905431600570679,
+        0.6277781929016113,
+        0.6474135057091713,
+        0.59157626247406,
+        0.6946684947490692,
+        0.8211458179473877,
+        0.861908533668518,
+        0.7924225975036621,
+        0.7633697302818299,
+        0.7515091026306152,
+        0.720926753616333,
+        0.7768987985610962,
+        0.8449177289962768,
+        0.9629317569732666,
+        0.931460041809082,
+        0.9021932872772217,
+        0.9415567704200745,
+        0.8805705249786377,
+        0.7279726833343506,
+        0.7522793537139892,
+        0.8977339170455932,
+        0.9053890051841735,
+        1.0313119258880614,
+        1.0500091316223144,
+        1.081573693037033,
+        1.0122951402664184,
+        1.0065685977935792,
+        0.9492526316642761,
+        0.9367160196304322,
+        1.049492422771454,
+        0.979865022277832,
+        0.9994352771759033,
+        1.162679231929779,
+        1.165749097442627,
+        1.0634778610229492,
+        1.14915854473114,
+        1.1030800518035888,
+        1.0413856769561767,
+        1.0413285767555236,
+        1.051336719417572,
+        1.0110527751922607,
+        1.0733316102981567,
+        0.9999018778800964,
+        0.9840315793991089,
+        0.9711315458297729,
+        0.9857265590667724,
+        0.9506656970977784,
+        0.9560299934387207,
+        0.9371125869750977,
+        0.9474420023918152,
+        0.9461492855072021,
+        0.9556923686981201,
+        0.9554297721862793,
+        0.9499578125,
+        0.9548584213256835,
+        0.9492132287979126,
+        0.9530534173965454,
+        0.9477035552978516,
+        0.9484292861938477,
+        0.9435903357505798,
+        0.9424657020568847,
+        0.9434539100646973,
+        0.941624609375,
+        0.9386807306289673,
+        0.937810022354126,
+        0.9365644121170044,
+        0.936181538105011
+      ],
+      "train_acc": [
+        0.1853,
+        0.5561,
+        0.7227,
+        0.7667,
+        0.8014,
+        0.8089,
+        0.816,
+        0.8187,
+        0.8118,
+        0.8168,
+        0.8048,
+        0.812,
+        0.8117,
+        0.8194,
+        0.8117,
+        0.8144,
+        0.8229,
+        0.8042,
+        0.7841,
+        0.7748,
+        0.7876,
+        0.7866,
+        0.797,
+        0.8064,
+        0.8003,
+        0.795,
+        0.7719,
+        0.7755,
+        0.7714,
+        0.7484,
+        0.7513,
+        0.7644,
+        0.7457,
+        0.7144,
+        0.7069,
+        0.6809,
+        0.6746,
+        0.6693,
+        0.674,
+        0.6698,
+        0.676,
+        0.6723,
+        0.6479,
+        0.6576,
+        0.6479,
+        0.6187,
+        0.6106,
+        0.6341,
+        0.6163,
+        0.629,
+        0.6411,
+        0.6433,
+        0.638,
+        0.6516,
+        0.6381,
+        0.6526,
+        0.6608,
+        0.6575,
+        0.6575,
+        0.6638,
+        0.6603,
+        0.6717,
+        0.6666,
+        0.6704,
+        0.6663,
+        0.6646,
+        0.6687,
+        0.6665,
+        0.6701,
+        0.67,
+        0.6699,
+        0.6699,
+        0.6689,
+        0.6709,
+        0.6748,
+        0.67,
+        0.6722,
+        0.6723,
+        0.6729,
+        0.6723
+      ],
+      "test_acc": [
+        0.3875,
+        0.661,
+        0.7345,
+        0.771,
+        0.7855,
+        0.763,
+        0.785,
+        0.768,
+        0.786,
+        0.7535,
+        0.748,
+        0.75,
+        0.7505,
+        0.763,
+        0.7635,
+        0.784,
+        0.7555,
+        0.7285,
+        0.7145,
+        0.7325,
+        0.769,
+        0.7425,
+        0.783,
+        0.774,
+        0.7725,
+        0.7325,
+        0.7345,
+        0.7085,
+        0.69,
+        0.652,
+        0.7025,
+        0.7115,
+        0.686,
+        0.635,
+        0.5775,
+        0.619,
+        0.607,
+        0.6335,
+        0.587,
+        0.559,
+        0.577,
+        0.5445,
+        0.6055,
+        0.5975,
+        0.5495,
+        0.536,
+        0.6035,
+        0.578,
+        0.5465,
+        0.6125,
+        0.632,
+        0.6125,
+        0.614,
+        0.6215,
+        0.644,
+        0.646,
+        0.654,
+        0.6265,
+        0.6415,
+        0.646,
+        0.651,
+        0.656,
+        0.655,
+        0.66,
+        0.656,
+        0.655,
+        0.6535,
+        0.643,
+        0.6525,
+        0.65,
+        0.657,
+        0.6535,
+        0.6525,
+        0.653,
+        0.652,
+        0.65,
+        0.651,
+        0.651,
+        0.651,
+        0.651
+      ],
+      "value_loss": [
+        3.048217420578003,
+        1.0343286740779876,
+        0.9000125793457031,
+        0.8277910697937012,
+        0.7453249110221862,
+        0.7300011464118957,
+        0.7402240177154541,
+        0.7579312013626098,
+        0.9181204793930053,
+        0.975448628616333,
+        1.1214078811645507,
+        1.2724024196147918,
+        1.3290605850219726,
+        1.259645761871338,
+        1.3672408729553223,
+        1.5799061000347137,
+        1.3602543179512023,
+        1.712525807094574,
+        2.2426450706481935,
+        2.359542562866211,
+        2.1532579238891603,
+        1.9830763484954834,
+        1.982039828968048,
+        1.8818614783287049,
+        2.2171711694717406,
+        2.3556669063568116,
+        3.0178351165771486,
+        3.1578522092819212,
+        2.68718074798584,
+        2.373463029575348,
+        1.8590419352769851,
+        1.2517694076538086,
+        1.02772789478302,
+        1.2108542333602905,
+        1.0830044956207276,
+        2.0529207768440245,
+        1.2919132787704468,
+        1.2424284775733947,
+        1.0443824444293976,
+        1.1778054037094117,
+        0.9631912262439728,
+        0.8378017754554749,
+        1.0295626225471497,
+        0.7373762512207032,
+        0.7012673536300659,
+        0.98064923620224,
+        0.862914551448822,
+        0.7986299896240234,
+        0.8213993213653564,
+        0.7129971002578736,
+        0.754508529138565,
+        0.6246828708648682,
+        0.7121831396102906,
+        0.5870893394470215,
+        0.6755351794242859,
+        0.5818774876117706,
+        0.5521341813087464,
+        0.5238836415290833,
+        0.5890642763614654,
+        0.5481948862075806,
+        0.5332052557468414,
+        0.4778835234642029,
+        0.49222251901626585,
+        0.5597867136955261,
+        0.4953978775501251,
+        0.5712323989391327,
+        0.49952770709991456,
+        0.5085798627853394,
+        0.45753829402923585,
+        0.48174678115844727,
+        0.4655922472000122,
+        0.4551719659328461,
+        0.4378785256385803,
+        0.43562724137306214,
+        0.4843036180496216,
+        0.42520372521877287,
+        0.4271356852054596,
+        0.4239115475654602,
+        0.41854572505950927,
+        0.41045001599788666
+      ],
+      "term_loss": [
+        1.7620765068054198,
+        0.7570293057441712,
+        0.7365578352928162,
+        0.6820572528839112,
+        0.607182498049736,
+        0.5735599759578704,
+        0.5921525184631348,
+        0.6111434427261353,
+        0.7693612571716308,
+        0.8335376226425171,
+        0.9712094970703125,
+        1.1207456881999969,
+        1.1779227069854736,
+        1.1121969150543214,
+        1.209087449645996,
+        1.4206154627799987,
+        1.2058612494468688,
+        1.5412679631948472,
+        2.0407606628417967,
+        2.108829928779602,
+        1.9323839492797852,
+        1.738079938840866,
+        1.738319782948494,
+        1.668429842185974,
+        1.9542716176986694,
+        2.082409756851196,
+        2.71076455078125,
+        2.7950469175338744,
+        2.3576751346588134,
+        2.0379406468629835,
+        1.5563349723756312,
+        0.987390661239624,
+        0.7408796440124512,
+        0.8990295526981353,
+        0.7904975162506104,
+        1.5982429100751876,
+        0.9677811861038208,
+        0.9073515085697174,
+        0.6968293826818466,
+        0.8219095712423324,
+        0.6385633600115777,
+        0.5180883571147918,
+        0.6821171250283719,
+        0.42861852970123293,
+        0.4132593111038208,
+        0.6532857032775878,
+        0.56343485455513,
+        0.5125517870903015,
+        0.5286973226547241,
+        0.4325035630941391,
+        0.4782088125705719,
+        0.35716295001506804,
+        0.43347521109580994,
+        0.32357389335632325,
+        0.3969691284179688,
+        0.32031551563739774,
+        0.29744037152528763,
+        0.26996316730976105,
+        0.3282479860842228,
+        0.2972265742301941,
+        0.2775776801109314,
+        0.2335032631635666,
+        0.24737662796378135,
+        0.30518129110336306,
+        0.24973544117212296,
+        0.31368190834522247,
+        0.24900891828536986,
+        0.2601964050769806,
+        0.21727401604652405,
+        0.23666752195358276,
+        0.2217332841873169,
+        0.2150446552991867,
+        0.19714454250335695,
+        0.1972746223449707,
+        0.23860706584453584,
+        0.1892410013794899,
+        0.18599554433822632,
+        0.18529752838611602,
+        0.17899176458120347,
+        0.17502211028933526
+      ],
+      "bridge_loss": [
+        0.9885711992692668,
+        0.06202600108981132,
+        0.005225318079441786,
+        0.00572426804304123,
+        0.011327691495418549,
+        0.033182587127387524,
+        0.028435595631599427,
+        0.02591904165148735,
+        0.019612548558413982,
+        0.014960378871113062,
+        0.01257537133693695,
+        0.015017039102315903,
+        0.014422192126512528,
+        0.016067288851737978,
+        0.019453916008770465,
+        0.02241444058343768,
+        0.024118383884429932,
+        0.025934281665086746,
+        0.03934095601439476,
+        0.08211781105995178,
+        0.06123144483566284,
+        0.08744931157231331,
+        0.09062072249054909,
+        0.06713926913738251,
+        0.10762440345287323,
+        0.11356958830356598,
+        0.12857519801855088,
+        0.18905064516067505,
+        0.1532894235134125,
+        0.15086396114826203,
+        0.12008241270184516,
+        0.09492742450237274,
+        0.10648579494953156,
+        0.10877807049751281,
+        0.09025130966901779,
+        0.22308929166793823,
+        0.09408268320858479,
+        0.09969470508098602,
+        0.11703467042446136,
+        0.12739645974636077,
+        0.10452780928909779,
+        0.10022395522594452,
+        0.10734874422848224,
+        0.08138678241968154,
+        0.05771932463645935,
+        0.0699296027958393,
+        0.04624857715070248,
+        0.048479430437088016,
+        0.04053354227542877,
+        0.032970554107427594,
+        0.0381986954331398,
+        0.027493790555000307,
+        0.03619121195077896,
+        0.029564367485046386,
+        0.033955201983451845,
+        0.03008670448064804,
+        0.02573939528465271,
+        0.025961067897081375,
+        0.031735689258575436,
+        0.0286233449280262,
+        0.030725829449296,
+        0.023821466904878616,
+        0.022386557137966157,
+        0.03191109481453896,
+        0.022437436121702195,
+        0.03390852664113045,
+        0.028159854693710806,
+        0.024796000277996062,
+        0.018291607961058616,
+        0.022655895307660105,
+        0.021983556759357453,
+        0.01841803635209799,
+        0.019089927835389972,
+        0.017243927240371704,
+        0.025458976861834525,
+        0.015187921732664108,
+        0.020197597947716712,
+        0.018675634610652924,
+        0.019476617947220803,
+        0.01536440534889698
+      ],
+      "tgrad_loss": [
+        0.2975697236061096,
+        0.2152733613014221,
+        0.15822943115234375,
+        0.14000954415798186,
+        0.12681471655368806,
+        0.12325858645439149,
+        0.11963590017557144,
+        0.1208687183380127,
+        0.12914666900634766,
+        0.12695061504840852,
+        0.13762302379608155,
+        0.13663968855142594,
+        0.13671568200588227,
+        0.13138156263828277,
+        0.13869950284957885,
+        0.1368761875152588,
+        0.13027468709945678,
+        0.14532355861663818,
+        0.16254346389770508,
+        0.168594819521904,
+        0.15964251264333726,
+        0.1575471007347107,
+        0.1530993018746376,
+        0.14629238090515137,
+        0.1552751208782196,
+        0.15968756294250488,
+        0.17849535081386567,
+        0.17375466558933259,
+        0.17621618556976318,
+        0.1846583988547325,
+        0.18262455696463584,
+        0.16945131740570069,
+        0.18036246223449706,
+        0.2030466163635254,
+        0.20225566873550416,
+        0.23158856897354127,
+        0.23004940370321275,
+        0.23538226161003112,
+        0.2305183897972107,
+        0.22849935948848724,
+        0.22010006467103957,
+        0.21948946959972382,
+        0.2400967527270317,
+        0.22737093563079833,
+        0.23028871989250183,
+        0.25743392400741577,
+        0.2532311152935028,
+        0.2375987785100937,
+        0.25216845297813417,
+        0.2475229881286621,
+        0.23810101900100708,
+        0.2400261275291443,
+        0.24251671900749205,
+        0.23395108041763304,
+        0.24461085169315339,
+        0.231475268471241,
+        0.22895441274642944,
+        0.2279594036579132,
+        0.22908060483932496,
+        0.22234496841430665,
+        0.22490174407958985,
+        0.22055879101753234,
+        0.22245933241844176,
+        0.22269432792663574,
+        0.22322500309944152,
+        0.2236419643878937,
+        0.22235892748832703,
+        0.22358745093345642,
+        0.22197266473770141,
+        0.22242336502075194,
+        0.2218754021167755,
+        0.22170927753448486,
+        0.2216440571308136,
+        0.22110869097709657,
+        0.22023757584095002,
+        0.22077479939460753,
+        0.22094254281520845,
+        0.21993838548660277,
+        0.22007734408378601,
+        0.2200635038137436
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.021486874669790268,
+        0.13597777485847473,
+        0.14020901918411255,
+        0.16125136613845825,
+        0.15609152615070343,
+        0.1541982889175415,
+        0.14447104930877686,
+        0.13689197599887848
+      ],
+      "perturbation_rho": [
+        0.021052071824669838,
+        0.17873916029930115,
+        0.25896143913269043,
+        0.18253415822982788,
+        0.20761561393737793,
+        0.24419330060482025,
+        0.21560567617416382,
+        0.25087088346481323
+      ],
+      "nudging": {
+        "0.001": [
+          -0.000705907354131341,
+          -0.0009686042903922498,
+          -0.0009376371745020151,
+          -0.0010404230561107397,
+          -0.0010180952958762646,
+          -0.0010082813678309321,
+          -0.0009501518215984106,
+          -0.0009206526447087526
+        ],
+        "0.003": [
+          -0.0020928888116031885,
+          -0.0029041701927781105,
+          -0.0028102626092731953,
+          -0.003118767635896802,
+          -0.0030542444437742233,
+          -0.0030217969324439764,
+          -0.0028490517288446426,
+          -0.002759187947958708
+        ],
+        "0.01": [
+          -0.006693178787827492,
+          -0.009655885398387909,
+          -0.009345939382910728,
+          -0.010369300842285156,
+          -0.010154420509934425,
+          -0.010046296752989292,
+          -0.009472687728703022,
+          -0.009175874292850494
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L8_s42.json b/results/synth_ladder_v2_lo/synth_a0.25_L8_s42.json
new file mode 100644
index 0000000..2731940
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L8_s42.json
@@ -0,0 +1,1638 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.116349330329895,
+        0.5001499853610992,
+        0.4335407821655273,
+        0.4641809904575348,
+        0.3640550988435745,
+        0.3363292731285095,
+        0.3244595282793045,
+        0.2982915968179703,
+        0.3134564006567001,
+        0.30007186489105225,
+        0.33086415586471557,
+        0.3240265121459961,
+        0.36804967494010926,
+        0.30622104313373566,
+        0.25573331198692323,
+        0.26320519745349885,
+        0.23574686307907106,
+        0.2268525185585022,
+        0.25257685260772705,
+        0.25333278408050536,
+        0.2360077142715454,
+        0.23784599598646164,
+        0.20709436918497084,
+        0.20264402964115144,
+        0.21906372356414794,
+        0.2614547765254974,
+        0.22743566370010376,
+        0.22848101971149445,
+        0.1859010817527771,
+        0.18899251914024354,
+        0.22130306813716888,
+        0.1667450134754181,
+        0.16755338363051414,
+        0.1541363487958908,
+        0.15326010875701904,
+        0.17208767664432525,
+        0.1566053614139557,
+        0.17658618724346162,
+        0.1616819619178772,
+        0.16018370108604432,
+        0.14088194823265077,
+        0.13619720645546912,
+        0.12748197174072265,
+        0.12225827918052673,
+        0.1305396099090576,
+        0.15742934291362762,
+        0.14194510142803193,
+        0.13810368086099625,
+        0.12012554352283478,
+        0.11385036809444428,
+        0.11541433204263449,
+        0.10669543639421462,
+        0.10731406065821647,
+        0.10112672692537308,
+        0.1006077661037445,
+        0.09703596627712249,
+        0.09588335396051406,
+        0.09268207312822342,
+        0.0937716266810894,
+        0.09152986379861831,
+        0.08915678606033325,
+        0.08682773663103581,
+        0.08579734473228455,
+        0.0858896899998188,
+        0.08425427243709564,
+        0.08361117107868195,
+        0.08322364587783813,
+        0.08275889765024186,
+        0.08162834317684174,
+        0.08004808874726295,
+        0.07940338475704194,
+        0.07868385118246078,
+        0.07802366590499878,
+        0.07752591272592545,
+        0.07690682909488677,
+        0.07651568021774292,
+        0.07623157832026482,
+        0.07601269240379334,
+        0.07586622917354106,
+        0.0757821985900402
+      ],
+      "train_acc": [
+        0.6054,
+        0.8027,
+        0.8306,
+        0.8201,
+        0.8517,
+        0.8683,
+        0.8696,
+        0.881,
+        0.875,
+        0.8779,
+        0.8683,
+        0.871,
+        0.8573,
+        0.8771,
+        0.8985,
+        0.8935,
+        0.9042,
+        0.9103,
+        0.8979,
+        0.9,
+        0.9047,
+        0.9033,
+        0.9171,
+        0.9238,
+        0.9113,
+        0.897,
+        0.9096,
+        0.9096,
+        0.9279,
+        0.9264,
+        0.9117,
+        0.9373,
+        0.9373,
+        0.9408,
+        0.9433,
+        0.9327,
+        0.9416,
+        0.9311,
+        0.9376,
+        0.9375,
+        0.9495,
+        0.9511,
+        0.956,
+        0.9589,
+        0.9532,
+        0.9397,
+        0.949,
+        0.9498,
+        0.958,
+        0.9622,
+        0.9605,
+        0.9676,
+        0.9652,
+        0.9691,
+        0.9715,
+        0.9704,
+        0.9708,
+        0.974,
+        0.9738,
+        0.974,
+        0.9767,
+        0.9763,
+        0.9787,
+        0.9772,
+        0.9797,
+        0.9786,
+        0.9792,
+        0.9805,
+        0.9804,
+        0.9813,
+        0.9818,
+        0.9825,
+        0.9824,
+        0.9826,
+        0.9831,
+        0.9836,
+        0.9839,
+        0.9843,
+        0.9843,
+        0.9842
+      ],
+      "test_acc": [
+        0.788,
+        0.818,
+        0.841,
+        0.842,
+        0.844,
+        0.852,
+        0.8525,
+        0.8535,
+        0.8575,
+        0.8625,
+        0.854,
+        0.856,
+        0.851,
+        0.855,
+        0.859,
+        0.871,
+        0.881,
+        0.876,
+        0.8665,
+        0.872,
+        0.874,
+        0.8695,
+        0.881,
+        0.8735,
+        0.883,
+        0.8735,
+        0.867,
+        0.868,
+        0.891,
+        0.8875,
+        0.885,
+        0.888,
+        0.882,
+        0.884,
+        0.883,
+        0.8795,
+        0.8815,
+        0.875,
+        0.88,
+        0.888,
+        0.883,
+        0.8945,
+        0.891,
+        0.889,
+        0.886,
+        0.8885,
+        0.8845,
+        0.8935,
+        0.8925,
+        0.89,
+        0.8945,
+        0.8985,
+        0.893,
+        0.894,
+        0.8935,
+        0.894,
+        0.895,
+        0.893,
+        0.8945,
+        0.8935,
+        0.8935,
+        0.8945,
+        0.8955,
+        0.8935,
+        0.896,
+        0.8965,
+        0.893,
+        0.8955,
+        0.895,
+        0.896,
+        0.896,
+        0.8975,
+        0.897,
+        0.8965,
+        0.8965,
+        0.8965,
+        0.896,
+        0.8955,
+        0.896,
+        0.8955
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8706932663917542,
+        0.8596300482749939,
+        0.8512309789657593,
+        0.842391848564148,
+        0.8334972858428955,
+        0.8275372385978699,
+        0.823634147644043,
+        0.8208400011062622
+      ],
+      "perturbation_rho": [
+        0.9999992847442627,
+        0.9999973773956299,
+        0.9999889731407166,
+        0.9999737739562988,
+        0.999952495098114,
+        0.9999229311943054,
+        0.9998778104782104,
+        0.999873161315918
+      ],
+      "nudging": {
+        "0.001": [
+          -0.029443971812725067,
+          -0.014739202335476875,
+          -0.007785398978739977,
+          -0.004687825217843056,
+          -0.0033056228421628475,
+          -0.0026248465292155743,
+          -0.002249690005555749,
+          -0.002028122777119279
+        ],
+        "0.003": [
+          -0.08119087666273117,
+          -0.042475294321775436,
+          -0.02287878468632698,
+          -0.01389251183718443,
+          -0.009832184761762619,
+          -0.007821150124073029,
+          -0.006710004061460495,
+          -0.006052234675735235
+        ],
+        "0.01": [
+          -0.19971789419651031,
+          -0.12236367166042328,
+          -0.07083894312381744,
+          -0.044348303228616714,
+          -0.031799670308828354,
+          -0.02545534446835518,
+          -0.02191336825489998,
+          -0.01980404555797577
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.158529169845581,
+        1.1195615213394166,
+        0.7019768083572387,
+        0.576601616859436,
+        0.48889441759586333,
+        0.4595581695556641,
+        0.4664854043006897,
+        0.4645276006698608,
+        0.45998520455360414,
+        0.4998584642410278,
+        0.5707068769454956,
+        0.5089836866378784,
+        0.5772042598724365,
+        0.5534915947437287,
+        0.5303711235046387,
+        0.5757707620620728,
+        0.6748943659067154,
+        0.5596435680389404,
+        0.6271520325660705,
+        0.6300130233287812,
+        0.6096898103713989,
+        0.7022480690956115,
+        0.6562287082672119,
+        0.7743891611099243,
+        0.7019639057159424,
+        0.620424409866333,
+        0.8657609689712524,
+        0.7578481485366821,
+        0.8160745024681091,
+        0.6845855102539062,
+        0.6900003092288971,
+        0.665535974407196,
+        0.6412346285820008,
+        0.5900779844999313,
+        0.6110470198631287,
+        0.6740109759330749,
+        0.6783077709197998,
+        0.8065583997726441,
+        0.659480087852478,
+        0.7328077519893647,
+        0.6365110095555894,
+        0.6187682289004326,
+        0.6504915294289589,
+        0.6426675319671631,
+        0.6510136894226074,
+        0.8234208068847656,
+        0.6913283330917358,
+        0.6763395458221435,
+        0.7061776033401489,
+        0.6717531005859375,
+        0.6595124167919159,
+        0.5512650019645691,
+        0.6176838112831116,
+        0.5410110770225525,
+        0.6010903105020523,
+        0.5379902812957764,
+        0.5911779655456543,
+        0.5408210384368897,
+        0.5452302074432374,
+        0.5244070569515228,
+        0.5323069170594216,
+        0.49816671800613405,
+        0.508677875328064,
+        0.5112697532653808,
+        0.5021153599619865,
+        0.4942335971832275,
+        0.4886833331346512,
+        0.48544664058685305,
+        0.4812666481971741,
+        0.4887116108417511,
+        0.48429084918498994,
+        0.47187945799827574,
+        0.4692245128631592,
+        0.46987841338217257,
+        0.46758185052871704,
+        0.46333528537750246,
+        0.46536093158721925,
+        0.459875780916214,
+        0.4589812075734139,
+        0.45842880477905273
+      ],
+      "train_acc": [
+        0.2182,
+        0.5995,
+        0.7379,
+        0.7849,
+        0.8137,
+        0.8271,
+        0.8255,
+        0.8312,
+        0.8318,
+        0.8272,
+        0.8161,
+        0.8323,
+        0.8202,
+        0.8275,
+        0.8376,
+        0.8296,
+        0.8188,
+        0.8345,
+        0.828,
+        0.8311,
+        0.8286,
+        0.8247,
+        0.8295,
+        0.815,
+        0.8308,
+        0.8442,
+        0.8192,
+        0.8286,
+        0.8238,
+        0.839,
+        0.841,
+        0.8458,
+        0.8487,
+        0.852,
+        0.8528,
+        0.8425,
+        0.8458,
+        0.832,
+        0.848,
+        0.8397,
+        0.8528,
+        0.858,
+        0.849,
+        0.8507,
+        0.8473,
+        0.8334,
+        0.8433,
+        0.8458,
+        0.844,
+        0.8479,
+        0.8504,
+        0.8696,
+        0.8594,
+        0.8689,
+        0.8593,
+        0.8676,
+        0.8612,
+        0.8671,
+        0.8651,
+        0.8661,
+        0.8716,
+        0.8748,
+        0.8722,
+        0.8746,
+        0.8744,
+        0.8769,
+        0.8784,
+        0.8791,
+        0.8772,
+        0.8791,
+        0.8758,
+        0.8803,
+        0.8799,
+        0.8789,
+        0.8822,
+        0.8816,
+        0.8809,
+        0.8835,
+        0.8837,
+        0.8838
+      ],
+      "test_acc": [
+        0.4375,
+        0.665,
+        0.7315,
+        0.7485,
+        0.7955,
+        0.7885,
+        0.8,
+        0.781,
+        0.762,
+        0.765,
+        0.7855,
+        0.7455,
+        0.7895,
+        0.7565,
+        0.7715,
+        0.746,
+        0.786,
+        0.781,
+        0.7805,
+        0.7935,
+        0.7455,
+        0.789,
+        0.737,
+        0.7525,
+        0.7965,
+        0.7215,
+        0.7535,
+        0.745,
+        0.77,
+        0.778,
+        0.7865,
+        0.8105,
+        0.8125,
+        0.7975,
+        0.783,
+        0.794,
+        0.7765,
+        0.8035,
+        0.7535,
+        0.7855,
+        0.789,
+        0.805,
+        0.7975,
+        0.76,
+        0.7905,
+        0.801,
+        0.7875,
+        0.816,
+        0.767,
+        0.791,
+        0.8255,
+        0.8295,
+        0.817,
+        0.8145,
+        0.8215,
+        0.7915,
+        0.8105,
+        0.817,
+        0.8105,
+        0.8175,
+        0.827,
+        0.822,
+        0.826,
+        0.8245,
+        0.8345,
+        0.82,
+        0.826,
+        0.831,
+        0.8335,
+        0.8285,
+        0.832,
+        0.829,
+        0.83,
+        0.8345,
+        0.834,
+        0.83,
+        0.832,
+        0.8335,
+        0.8345,
+        0.835
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.029614916071295738,
+        0.08655504137277603,
+        0.09347832202911377,
+        0.10665939003229141,
+        0.10298001766204834,
+        0.055703092366456985,
+        0.06406168639659882,
+        0.054178133606910706
+      ],
+      "perturbation_rho": [
+        -0.10576558113098145,
+        0.13653026521205902,
+        0.13744692504405975,
+        0.169493168592453,
+        0.1142939031124115,
+        0.09325758367776871,
+        0.1042378693819046,
+        -0.00961439497768879
+      ],
+      "nudging": {
+        "0.001": [
+          0.0020253753755241632,
+          -0.0006042197346687317,
+          -0.0003090167883783579,
+          -0.0003282201651018113,
+          -0.00030271150171756744,
+          -0.00016797086573205888,
+          -0.00020572963694576174,
+          -0.00016064735245890915
+        ],
+        "0.003": [
+          0.006166902836412191,
+          -0.0018144691130146384,
+          -0.0009272561292164028,
+          -0.000988352345302701,
+          -0.0009091334650292993,
+          -0.0005062551936134696,
+          -0.0006199252675287426,
+          -0.0004811809048987925
+        ],
+        "0.01": [
+          0.021624702960252762,
+          -0.006033358629792929,
+          -0.003085250034928322,
+          -0.0032903538085520267,
+          -0.0030274176970124245,
+          -0.0016871094703674316,
+          -0.0020643905736505985,
+          -0.0016031904378905892
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.7370107837677002,
+        0.9566345932006836,
+        0.7672526609420777,
+        0.7551599216461181,
+        0.8040943652153015,
+        0.8967263271331787,
+        0.8947166172027587,
+        0.8826603755950928,
+        0.9048395864486695,
+        0.9103054508209228,
+        0.910915373802185,
+        0.9105680400848388,
+        0.900138374710083,
+        0.9003334159851074,
+        0.881323463344574,
+        0.8399732953071595,
+        0.9072862690925598,
+        0.8586404010772705,
+        0.8466693807601928,
+        0.8386851059913635,
+        0.8304012378692627,
+        0.8648545293807983,
+        0.8444964403152466,
+        0.787469714641571,
+        0.7859655241012573,
+        0.8520208901405334,
+        0.7876779465675354,
+        0.8035705984115601,
+        0.7937297729492188,
+        0.778717615699768,
+        0.7854765256881714,
+        0.8042930118560792,
+        0.8156058423042297,
+        0.7773512923240662,
+        0.7559653558731079,
+        0.7482747771739959,
+        0.7103004894256592,
+        0.7591038406848908,
+        0.714097739982605,
+        0.6922465740203857,
+        0.7237790791511536,
+        0.71418566198349,
+        0.6863883009910583,
+        0.6632298639297486,
+        0.6979568075180054,
+        0.6680784313201904,
+        0.6481147897720337,
+        0.6357518527030945,
+        0.6247223592758179,
+        0.6085101871490478,
+        0.6133926107406616,
+        0.595257430768013,
+        0.5753008867263794,
+        0.5893147421836853,
+        0.5835431252121925,
+        0.5568724251270294,
+        0.5747560076713562,
+        0.5652507972955704,
+        0.5538186378479004,
+        0.5708896952629089,
+        0.5540621002197266,
+        0.5491908939361573,
+        0.5537193531036377,
+        0.5458368228912354,
+        0.541802837228775,
+        0.5337149509429931,
+        0.5353304562568665,
+        0.5362093331336976,
+        0.5316291991233826,
+        0.5267005807876587,
+        0.5275578862190247,
+        0.5257468720436096,
+        0.5230328259944915,
+        0.5213959711074829,
+        0.5200412568092346,
+        0.519229730796814,
+        0.5183546719074249,
+        0.5177948822975159,
+        0.5174177736282348,
+        0.517131188583374
+      ],
+      "train_acc": [
+        0.3748,
+        0.6465,
+        0.712,
+        0.7328,
+        0.72,
+        0.7024,
+        0.6979,
+        0.6921,
+        0.6745,
+        0.6807,
+        0.6741,
+        0.6724,
+        0.6781,
+        0.6804,
+        0.6904,
+        0.7012,
+        0.6822,
+        0.6918,
+        0.7011,
+        0.7023,
+        0.7113,
+        0.7001,
+        0.7091,
+        0.7241,
+        0.723,
+        0.7167,
+        0.7272,
+        0.725,
+        0.7256,
+        0.7303,
+        0.726,
+        0.7246,
+        0.7283,
+        0.7379,
+        0.7418,
+        0.7456,
+        0.7525,
+        0.7416,
+        0.7574,
+        0.7607,
+        0.7538,
+        0.7559,
+        0.7642,
+        0.7692,
+        0.7596,
+        0.7661,
+        0.7748,
+        0.7776,
+        0.7821,
+        0.7886,
+        0.7851,
+        0.7912,
+        0.7948,
+        0.7926,
+        0.7926,
+        0.8047,
+        0.7996,
+        0.8021,
+        0.8045,
+        0.7943,
+        0.8037,
+        0.8038,
+        0.8055,
+        0.804,
+        0.8064,
+        0.8115,
+        0.8093,
+        0.8102,
+        0.8084,
+        0.8096,
+        0.8122,
+        0.8132,
+        0.8131,
+        0.8128,
+        0.8133,
+        0.814,
+        0.8132,
+        0.814,
+        0.8158,
+        0.8162
+      ],
+      "test_acc": [
+        0.5495,
+        0.6655,
+        0.695,
+        0.6805,
+        0.67,
+        0.676,
+        0.6615,
+        0.65,
+        0.647,
+        0.659,
+        0.637,
+        0.66,
+        0.6585,
+        0.67,
+        0.6675,
+        0.6235,
+        0.684,
+        0.6465,
+        0.659,
+        0.6625,
+        0.667,
+        0.664,
+        0.681,
+        0.677,
+        0.6545,
+        0.699,
+        0.69,
+        0.6775,
+        0.7025,
+        0.691,
+        0.7025,
+        0.691,
+        0.7025,
+        0.7185,
+        0.7225,
+        0.738,
+        0.703,
+        0.7235,
+        0.7225,
+        0.7185,
+        0.7135,
+        0.7275,
+        0.7405,
+        0.731,
+        0.73,
+        0.7375,
+        0.7465,
+        0.7255,
+        0.7515,
+        0.754,
+        0.762,
+        0.757,
+        0.756,
+        0.7445,
+        0.7625,
+        0.7615,
+        0.772,
+        0.767,
+        0.76,
+        0.7595,
+        0.7635,
+        0.768,
+        0.7575,
+        0.7735,
+        0.769,
+        0.7615,
+        0.7675,
+        0.7695,
+        0.7645,
+        0.768,
+        0.7715,
+        0.771,
+        0.772,
+        0.774,
+        0.7685,
+        0.768,
+        0.7695,
+        0.769,
+        0.77,
+        0.7705
+      ],
+      "state_pred_error": [
+        0.6510248342990875,
+        0.19123697934150696,
+        0.15689989979267122,
+        0.1638691138982773,
+        0.18542276043891906,
+        0.19759975728988646,
+        0.19750141835212706,
+        0.1924255329608917,
+        0.18604150733947755,
+        0.17945555620193482,
+        0.16643357362747194,
+        0.1515563004732132,
+        0.13873218288421632,
+        0.12696559550762176,
+        0.11629828469753266,
+        0.10857762076854706,
+        0.10475670492649078,
+        0.10159241337776184,
+        0.09809481703042984,
+        0.09148724089860916,
+        0.08206979176998139,
+        0.07435691350698471,
+        0.06972167286872864,
+        0.06627885436415672,
+        0.06546131973266602,
+        0.06723697187900543,
+        0.06813187596797943,
+        0.06687251436710358,
+        0.06302478927373886,
+        0.058677458524703976,
+        0.057898998373746874,
+        0.05797914127707481,
+        0.058545249927043914,
+        0.05916902434825897,
+        0.05941378560066223,
+        0.05825672425031662,
+        0.05480920540094376,
+        0.05071420597434044,
+        0.04744568449258804,
+        0.0444792321562767,
+        0.042174161130189895,
+        0.040468314665555956,
+        0.03879091463685036,
+        0.03714785648286342,
+        0.0352774528324604,
+        0.0339755380153656,
+        0.032574092012643815,
+        0.03123813125193119,
+        0.030104083406925202,
+        0.029090672388672828,
+        0.028430724573135377,
+        0.02767248264551163,
+        0.026718193304538725,
+        0.02616673924922943,
+        0.025693943455815316,
+        0.02513220482468605,
+        0.024545501339435578,
+        0.024053472316265107,
+        0.023506799945235253,
+        0.022811067420244215,
+        0.02227019665837288,
+        0.021723036986589433,
+        0.021250531101226808,
+        0.020513180258870126,
+        0.020106326079368592,
+        0.019632608953118323,
+        0.01921781920492649,
+        0.01884053735435009,
+        0.0183342476695776,
+        0.01785229898095131,
+        0.01749335871487856,
+        0.01714705436229706,
+        0.016820847728848457,
+        0.016439079593122005,
+        0.016118293267488478,
+        0.015841090542078017,
+        0.015672565352916716,
+        0.015245961971580983,
+        0.01504119263291359,
+        0.014731109365820885
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8497925996780396,
+        0.4692588150501251,
+        0.1727459728717804,
+        0.1467132717370987,
+        0.13944602012634277,
+        0.1262509524822235,
+        0.13373470306396484,
+        0.13821429014205933
+      ],
+      "perturbation_rho": [
+        0.7623768448829651,
+        0.4223487377166748,
+        0.18194836378097534,
+        0.12129966914653778,
+        0.11680327355861664,
+        0.15588274598121643,
+        0.1260674148797989,
+        0.06604740768671036
+      ],
+      "nudging": {
+        "0.001": [
+          -0.026710381731390953,
+          -0.001401002169586718,
+          -0.00036633311538025737,
+          -0.0002976981922984123,
+          -0.0002801758237183094,
+          -0.00026074639754369855,
+          -0.00026977190282195807,
+          -0.000280526204733178
+        ],
+        "0.003": [
+          -0.0777532160282135,
+          -0.004196057096123695,
+          -0.0010983950924128294,
+          -0.0008932030177675188,
+          -0.0008403125102631748,
+          -0.0007819668389856815,
+          -0.0008093866053968668,
+          -0.000841516419313848
+        ],
+        "0.01": [
+          -0.23203837871551514,
+          -0.013907128013670444,
+          -0.0036564678885042667,
+          -0.0029728016816079617,
+          -0.0027978671714663506,
+          -0.0026036568451672792,
+          -0.002694307826459408,
+          -0.0028012352995574474
+        ]
+      },
+      "state_pred_error_per_layer": [
+        10530.408203125,
+        8501.392578125,
+        5819.005859375,
+        4775.642578125,
+        4112.55224609375,
+        3853.83984375,
+        4342.64697265625,
+        3851.865478515625
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.159124858665466,
+        1.116624098110199,
+        0.7056743051528931,
+        0.5761039943695069,
+        0.5095945714950562,
+        0.45241021232604983,
+        0.46948385772705076,
+        0.4793232214689255,
+        0.4545422805786133,
+        0.5009335787773133,
+        0.5597627540111542,
+        0.5120361625671387,
+        0.5355229542732238,
+        0.6279539004325867,
+        0.5660819525957107,
+        0.5390582748413086,
+        0.5889693227291107,
+        0.603074467754364,
+        0.6584024600982666,
+        0.695176156425476,
+        0.7920763175964356,
+        0.8451283014297485,
+        0.8484785719871522,
+        0.843716569519043,
+        1.014335894203186,
+        0.8687970887184143,
+        1.0127446592330933,
+        1.028154598236084,
+        0.9810158153533935,
+        0.9665016010284424,
+        0.9403284704208374,
+        1.0873604711532592,
+        1.0908284931182861,
+        1.0630552332878114,
+        0.9850875625610351,
+        1.127894623565674,
+        1.1809495683670044,
+        1.267158783340454,
+        1.287852244567871,
+        1.2246507026672364,
+        1.2201649879455567,
+        1.2201611038208007,
+        1.1973112880706787,
+        1.234057978248596,
+        1.293443548965454,
+        1.4402172996520997,
+        1.2406691700935364,
+        1.2519098442077636,
+        1.2208334053039551,
+        1.1873869004249573,
+        1.177197998905182,
+        1.2070206604003906,
+        1.299656178665161,
+        1.2269725717544555,
+        1.1528090390205383,
+        1.241765862083435,
+        1.1921624895095826,
+        1.19609040851593,
+        1.167593807220459,
+        1.1653289527893067,
+        1.164765244102478,
+        1.1514347393035889,
+        1.158220820236206,
+        1.1662875720024108,
+        1.1485121864318848,
+        1.150432911491394,
+        1.1496048480987549,
+        1.1453266424179078,
+        1.1356859375,
+        1.130746061706543,
+        1.1316118362426757,
+        1.1427904190063476,
+        1.132000608253479,
+        1.1233850655555726,
+        1.1215381189346314,
+        1.1214420713424682,
+        1.120496761703491,
+        1.1187861232757568,
+        1.116937138557434,
+        1.1163992111206054
+      ],
+      "train_acc": [
+        0.2167,
+        0.5976,
+        0.7344,
+        0.7845,
+        0.807,
+        0.8282,
+        0.8255,
+        0.8259,
+        0.8331,
+        0.8246,
+        0.8176,
+        0.8301,
+        0.8268,
+        0.8182,
+        0.83,
+        0.8362,
+        0.8275,
+        0.8307,
+        0.8192,
+        0.8176,
+        0.796,
+        0.7974,
+        0.7834,
+        0.7904,
+        0.7608,
+        0.7847,
+        0.7592,
+        0.7589,
+        0.7547,
+        0.7537,
+        0.7488,
+        0.7186,
+        0.712,
+        0.7016,
+        0.7044,
+        0.6673,
+        0.6646,
+        0.6502,
+        0.6499,
+        0.6509,
+        0.6413,
+        0.6409,
+        0.6468,
+        0.6369,
+        0.6236,
+        0.5994,
+        0.6256,
+        0.6259,
+        0.6301,
+        0.6327,
+        0.6351,
+        0.6208,
+        0.6045,
+        0.6189,
+        0.6294,
+        0.6101,
+        0.6179,
+        0.6152,
+        0.6228,
+        0.6201,
+        0.6207,
+        0.6207,
+        0.6233,
+        0.6191,
+        0.6268,
+        0.6248,
+        0.6259,
+        0.6253,
+        0.6282,
+        0.6274,
+        0.6285,
+        0.6264,
+        0.6291,
+        0.6292,
+        0.6309,
+        0.631,
+        0.6336,
+        0.6315,
+        0.6322,
+        0.6325
+      ],
+      "test_acc": [
+        0.429,
+        0.661,
+        0.72,
+        0.753,
+        0.7785,
+        0.7805,
+        0.7985,
+        0.7795,
+        0.799,
+        0.743,
+        0.7975,
+        0.784,
+        0.794,
+        0.765,
+        0.7915,
+        0.7625,
+        0.786,
+        0.7555,
+        0.773,
+        0.765,
+        0.735,
+        0.747,
+        0.729,
+        0.6775,
+        0.7295,
+        0.7225,
+        0.737,
+        0.7245,
+        0.6875,
+        0.697,
+        0.6295,
+        0.6765,
+        0.6965,
+        0.6915,
+        0.6605,
+        0.5695,
+        0.615,
+        0.52,
+        0.578,
+        0.6125,
+        0.6,
+        0.586,
+        0.566,
+        0.5905,
+        0.5365,
+        0.5565,
+        0.5745,
+        0.5445,
+        0.5685,
+        0.5815,
+        0.586,
+        0.5445,
+        0.5635,
+        0.5835,
+        0.5705,
+        0.5875,
+        0.588,
+        0.582,
+        0.6175,
+        0.615,
+        0.604,
+        0.595,
+        0.594,
+        0.6065,
+        0.6115,
+        0.619,
+        0.6105,
+        0.6105,
+        0.6135,
+        0.6125,
+        0.6035,
+        0.6105,
+        0.6155,
+        0.6155,
+        0.6155,
+        0.615,
+        0.6185,
+        0.6165,
+        0.615,
+        0.616
+      ],
+      "value_loss": [
+        2.923849702453613,
+        0.929932203578949,
+        0.986256123161316,
+        0.9705767082214356,
+        0.9187479806900024,
+        0.8046257507324219,
+        0.8280020093917847,
+        0.7600664526283741,
+        0.6512299965858459,
+        0.8722499349117279,
+        1.0144303213119508,
+        0.9696790258407593,
+        1.047098385667801,
+        1.3836800573349,
+        1.172448957824707,
+        1.1310886909484863,
+        1.2517949352741242,
+        1.449119287109375,
+        1.541891334915161,
+        1.8401317022323609,
+        2.2931220562934875,
+        2.6332393630981445,
+        2.376218652820587,
+        2.4431817691802977,
+        3.0396681418418883,
+        2.5404992835998534,
+        2.9912292552947997,
+        2.9550719177246094,
+        2.845018405532837,
+        2.3893951858520506,
+        2.2559028842926026,
+        2.5913971235752107,
+        2.1639503829956053,
+        1.7991520860671997,
+        1.5380361373901368,
+        1.6679082988739014,
+        1.5880424777507782,
+        1.986500718688965,
+        1.8443089511871338,
+        1.6190284337997436,
+        1.5703363037109375,
+        1.2268877660751343,
+        1.235842610359192,
+        1.3104468950271606,
+        1.4912362480163575,
+        2.4344917457580566,
+        1.5018931139945983,
+        1.2203104718208313,
+        1.004470736503601,
+        0.9335955861091614,
+        0.9949490726470948,
+        1.0034673252105712,
+        1.0283565370559693,
+        0.9653127727031707,
+        0.7962954003334045,
+        0.8769395300865174,
+        0.8055619871139527,
+        0.8671702852249146,
+        0.7559805934906005,
+        0.7425107782363891,
+        0.7403785936832428,
+        0.7167611845016479,
+        0.6846619015693665,
+        0.6878714230537415,
+        0.7193085783004761,
+        0.6548016827583313,
+        0.7351945478439331,
+        0.644631478023529,
+        0.7197158195495605,
+        0.6618418259859085,
+        0.6821243083953857,
+        0.6612376468658447,
+        0.6439533136367798,
+        0.5963960872650147,
+        0.6086718690872193,
+        0.599690711593628,
+        0.5913591928482056,
+        0.6202077602386474,
+        0.5772844911575318,
+        0.5891867377281189
+      ],
+      "term_loss": [
+        1.6957895690917968,
+        0.6753802593231201,
+        0.831247025680542,
+        0.8390384925842285,
+        0.7965053218841552,
+        0.6833916404724121,
+        0.6818313911437989,
+        0.608198171555996,
+        0.5294004390478134,
+        0.7458023294448852,
+        0.8792923537254334,
+        0.8413159708023071,
+        0.9142087742328644,
+        1.2399149011611938,
+        1.0347518908500672,
+        1.0019392091751098,
+        1.1087773736953734,
+        1.3111861721038818,
+        1.3899584873199462,
+        1.6716829993247986,
+        2.086436320781708,
+        2.397855037689209,
+        2.1204052381515504,
+        2.1729405517578124,
+        2.6674406289100645,
+        2.2249885496139528,
+        2.6019367149353028,
+        2.5479478713989256,
+        2.400313151931763,
+        2.024853038024902,
+        1.8821177783966065,
+        2.1543995948791506,
+        1.7860287817955016,
+        1.452260116672516,
+        1.2173033016204835,
+        1.3191343141555787,
+        1.2516821141004562,
+        1.617408494567871,
+        1.4755853931427,
+        1.2719025758743285,
+        1.2177997756958008,
+        0.8933947921752929,
+        0.8899640788078308,
+        0.9326346119403839,
+        1.1148540426254272,
+        1.898148253440857,
+        1.12082442278862,
+        0.8921917255401611,
+        0.7068623620986938,
+        0.6389377068519593,
+        0.6924788676023483,
+        0.695777419424057,
+        0.7078803710460663,
+        0.6601581328392029,
+        0.5033305398464203,
+        0.570631118297577,
+        0.5162732218742371,
+        0.5679329143404961,
+        0.4729079250335693,
+        0.461714194560051,
+        0.46249124987125395,
+        0.44334709153175356,
+        0.4196650380134582,
+        0.42120836625099184,
+        0.44739498138427736,
+        0.39437385370731354,
+        0.46137346267700197,
+        0.38239081733226776,
+        0.450170348739624,
+        0.4020174507200718,
+        0.41444856939315794,
+        0.3969281505584717,
+        0.3867944943904877,
+        0.34640119657516477,
+        0.3521443841457367,
+        0.3458197787284851,
+        0.3377646032333374,
+        0.3608278916358948,
+        0.3261510276794434,
+        0.3338063308954239
+      ],
+      "bridge_loss": [
+        0.9423020985943266,
+        0.05520812346786261,
+        0.004487565135210752,
+        0.002620925185829401,
+        0.0048334262125194075,
+        0.01594426441192627,
+        0.03671039479970932,
+        0.03975842403247953,
+        0.015591624838858844,
+        0.013291598454117775,
+        0.01565677783973515,
+        0.01498264015391469,
+        0.01737629879415035,
+        0.0184465979129076,
+        0.018480844482779504,
+        0.015960913228988648,
+        0.024468728888779878,
+        0.019229955610632895,
+        0.02615500204563141,
+        0.03635306806564331,
+        0.059548058903217314,
+        0.0856127993106842,
+        0.10532212686538696,
+        0.12074549732208252,
+        0.20261099276542663,
+        0.16408356733322144,
+        0.21867822751998903,
+        0.2356453148841858,
+        0.272574133682251,
+        0.19159529037475587,
+        0.2004289361476898,
+        0.24411858590841293,
+        0.1787075509786606,
+        0.14301152968406677,
+        0.12255135390758515,
+        0.13008755064010621,
+        0.11080655341148377,
+        0.13113918704390526,
+        0.12944001140594483,
+        0.1129146324634552,
+        0.1154842409491539,
+        0.09431586592197418,
+        0.11188051323890685,
+        0.13759187079668045,
+        0.12995593395233154,
+        0.27678604226112363,
+        0.141656518304348,
+        0.08655073091983795,
+        0.05993868888616562,
+        0.059859430432319644,
+        0.06892287590354682,
+        0.06750806963741779,
+        0.06865553792715072,
+        0.061588749042153355,
+        0.05957540009617805,
+        0.061613469922542574,
+        0.05206717085838318,
+        0.05907755357027054,
+        0.04743152441978454,
+        0.04469682623147964,
+        0.04149307833611965,
+        0.03929951223134995,
+        0.030610716843605043,
+        0.02995092202425003,
+        0.0383457456946373,
+        0.026008895072340964,
+        0.040196093106269835,
+        0.028685746616125107,
+        0.03815972879528999,
+        0.028288117049634458,
+        0.03641813113093376,
+        0.03163274981975556,
+        0.026057027128338815,
+        0.019867237696051598,
+        0.02672082303762436,
+        0.024199049031734466,
+        0.024270879930257797,
+        0.030186125880479812,
+        0.02228136167526245,
+        0.026477533173561097
+      ],
+      "tgrad_loss": [
+        0.2857580623626709,
+        0.19934382581710816,
+        0.15052154083251953,
+        0.1289172974586487,
+        0.11740923545360565,
+        0.10528984839916229,
+        0.10946023015975952,
+        0.11210985959172248,
+        0.10623793400526046,
+        0.11315601377487183,
+        0.11948118734359742,
+        0.11338041863441467,
+        0.11551330276727677,
+        0.1253185605764389,
+        0.11921620997786522,
+        0.1131885776758194,
+        0.11854884642362594,
+        0.1187031536102295,
+        0.12577785356044768,
+        0.13209564628601075,
+        0.1471376781463623,
+        0.14977150740623474,
+        0.15049127151966096,
+        0.14949570622444153,
+        0.16961653110980987,
+        0.15142717978954315,
+        0.170614333486557,
+        0.17147873260974883,
+        0.17213111686706542,
+        0.17294686603546142,
+        0.1733561895608902,
+        0.19287895803451538,
+        0.19921406044960022,
+        0.20388044509887696,
+        0.1981814912080765,
+        0.21868645486831664,
+        0.22555380930900573,
+        0.23795305459499358,
+        0.2392835365533829,
+        0.23421121506690978,
+        0.2370522943496704,
+        0.2391770931005478,
+        0.23399802966117858,
+        0.24022042050361633,
+        0.24642628200054167,
+        0.25955745730400087,
+        0.23941217505931855,
+        0.24156801874637604,
+        0.23766968197822572,
+        0.2347984517812729,
+        0.23354733331203462,
+        0.24018183145523073,
+        0.25182062857151033,
+        0.24356588566303253,
+        0.2333894602775574,
+        0.24469494655132293,
+        0.23722159390449524,
+        0.2401598274230957,
+        0.2356411437034607,
+        0.23609975414276124,
+        0.23639426271915437,
+        0.23411457405090333,
+        0.23438614721298218,
+        0.2367121321439743,
+        0.23356784496307373,
+        0.23441893281936646,
+        0.2336249945640564,
+        0.23355491318702698,
+        0.23138573913574217,
+        0.23153626589775086,
+        0.23125760569572448,
+        0.2326767508506775,
+        0.2311017912387848,
+        0.23012765417099,
+        0.22980666117668153,
+        0.22967188897132873,
+        0.2293237120628357,
+        0.22919374046325683,
+        0.22885210227966307,
+        0.2289028725862503
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.0006081201136112213,
+        0.13602128624916077,
+        0.1264307200908661,
+        0.13147516548633575,
+        0.14721693098545074,
+        0.1274956315755844,
+        0.13849349319934845,
+        0.1316969096660614
+      ],
+      "perturbation_rho": [
+        0.0121258944272995,
+        0.21904222667217255,
+        0.23992177844047546,
+        0.23384322226047516,
+        0.24397125840187073,
+        0.24230614304542542,
+        0.23810306191444397,
+        0.1929502785205841
+      ],
+      "nudging": {
+        "0.001": [
+          0.00011889888992300257,
+          -0.0009491944219917059,
+          -0.0008246820652857423,
+          -0.0008639077423140407,
+          -0.0009589982801117003,
+          -0.0008573950035497546,
+          -0.0009020413272082806,
+          -0.000869636656716466
+        ],
+        "0.003": [
+          0.00037957681342959404,
+          -0.00284576159901917,
+          -0.0024732202291488647,
+          -0.0025892104022204876,
+          -0.002875671721994877,
+          -0.0025729541666805744,
+          -0.0027035544626414776,
+          -0.0026109416503459215
+        ],
+        "0.01": [
+          0.0015163691714406013,
+          -0.009462166577577591,
+          -0.008223006501793861,
+          -0.008610539138317108,
+          -0.009565019980072975,
+          -0.00855704490095377,
+          -0.008995135314762592,
+          -0.008686890825629234
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file
diff --git a/results/synth_ladder_v2_lo/synth_a0.25_L8_s456.json b/results/synth_ladder_v2_lo/synth_a0.25_L8_s456.json
new file mode 100644
index 0000000..3a9dc65
--- /dev/null
+++ b/results/synth_ladder_v2_lo/synth_a0.25_L8_s456.json
@@ -0,0 +1,1638 @@
+{
+  "bp": {
+    "log": {
+      "train_loss": [
+        1.0949109335899354,
+        0.4847292046070099,
+        0.43074436836242674,
+        0.45461450641155243,
+        0.3505706082344055,
+        0.36935169534683226,
+        0.3458066239833832,
+        0.31260078072547914,
+        0.3468876272201538,
+        0.3495961265563965,
+        0.3303800414800644,
+        0.27149379975795745,
+        0.2737216544628143,
+        0.2767748848438263,
+        0.2736096446037293,
+        0.2938991106033325,
+        0.2582871003627777,
+        0.23739801230430602,
+        0.2594614781618118,
+        0.2630785707592964,
+        0.2056863129377365,
+        0.21809959688186645,
+        0.24221352519989015,
+        0.256286201775074,
+        0.202121930706501,
+        0.190755042886734,
+        0.21771411544084548,
+        0.1782619017124176,
+        0.21908559448719025,
+        0.18661829199790955,
+        0.20600177307128906,
+        0.18073079323768615,
+        0.17271925398111343,
+        0.1645322194814682,
+        0.1671620917201042,
+        0.15773158494234085,
+        0.14472428426742553,
+        0.14567419674396515,
+        0.1518403840482235,
+        0.13865896134376526,
+        0.15951423366069795,
+        0.16939479804039,
+        0.13950223712921142,
+        0.14568773169517518,
+        0.1383738743185997,
+        0.12232284970879555,
+        0.1139566089630127,
+        0.12166086977720261,
+        0.11700058321952819,
+        0.13092280693054198,
+        0.12311471049785613,
+        0.1198555045902729,
+        0.1059309095799923,
+        0.10063771556615829,
+        0.09875465431213379,
+        0.0968073558807373,
+        0.10243437190055847,
+        0.1019424331665039,
+        0.0980549189567566,
+        0.09463337656855583,
+        0.08827412815093993,
+        0.09218352751731873,
+        0.08814562564194202,
+        0.08469899677038192,
+        0.083780100274086,
+        0.08465643609762191,
+        0.08265884437561036,
+        0.08110810294151306,
+        0.08215825154781342,
+        0.07948198096752167,
+        0.0788882690012455,
+        0.07769866117238998,
+        0.07724723608493805,
+        0.07669834134578705,
+        0.07622871665954589,
+        0.07581909760832786,
+        0.0755586281299591,
+        0.07532668962180615,
+        0.07521152381747961,
+        0.07513501325845719
+      ],
+      "train_acc": [
+        0.6208,
+        0.8105,
+        0.8295,
+        0.8228,
+        0.861,
+        0.8558,
+        0.8613,
+        0.8739,
+        0.8607,
+        0.8631,
+        0.8716,
+        0.8908,
+        0.8919,
+        0.8925,
+        0.8897,
+        0.8837,
+        0.8947,
+        0.9068,
+        0.8986,
+        0.8962,
+        0.9213,
+        0.9183,
+        0.9035,
+        0.8971,
+        0.9201,
+        0.9259,
+        0.9141,
+        0.9322,
+        0.9137,
+        0.9271,
+        0.9188,
+        0.929,
+        0.9344,
+        0.9371,
+        0.9353,
+        0.9418,
+        0.9461,
+        0.9471,
+        0.9438,
+        0.9501,
+        0.9409,
+        0.933,
+        0.9498,
+        0.9473,
+        0.9488,
+        0.9564,
+        0.9626,
+        0.9572,
+        0.9603,
+        0.9521,
+        0.9553,
+        0.9586,
+        0.9663,
+        0.9705,
+        0.9704,
+        0.9724,
+        0.9684,
+        0.9697,
+        0.97,
+        0.971,
+        0.9757,
+        0.9731,
+        0.9765,
+        0.9777,
+        0.9791,
+        0.9795,
+        0.9788,
+        0.9812,
+        0.9801,
+        0.9815,
+        0.9821,
+        0.9826,
+        0.9825,
+        0.9832,
+        0.9837,
+        0.9842,
+        0.9842,
+        0.9844,
+        0.9843,
+        0.9844
+      ],
+      "test_acc": [
+        0.781,
+        0.8165,
+        0.803,
+        0.831,
+        0.83,
+        0.8365,
+        0.849,
+        0.8495,
+        0.8445,
+        0.8555,
+        0.841,
+        0.851,
+        0.854,
+        0.859,
+        0.858,
+        0.8525,
+        0.858,
+        0.8685,
+        0.863,
+        0.8625,
+        0.8595,
+        0.8605,
+        0.8715,
+        0.8585,
+        0.872,
+        0.8785,
+        0.878,
+        0.869,
+        0.8685,
+        0.8765,
+        0.8655,
+        0.8735,
+        0.878,
+        0.874,
+        0.8755,
+        0.878,
+        0.879,
+        0.878,
+        0.868,
+        0.8805,
+        0.882,
+        0.8785,
+        0.8765,
+        0.882,
+        0.8855,
+        0.8845,
+        0.883,
+        0.878,
+        0.8845,
+        0.885,
+        0.888,
+        0.8845,
+        0.891,
+        0.8855,
+        0.888,
+        0.884,
+        0.8925,
+        0.885,
+        0.889,
+        0.8865,
+        0.884,
+        0.8875,
+        0.8875,
+        0.891,
+        0.8885,
+        0.89,
+        0.892,
+        0.892,
+        0.891,
+        0.89,
+        0.8895,
+        0.891,
+        0.892,
+        0.8895,
+        0.891,
+        0.89,
+        0.892,
+        0.8915,
+        0.8915,
+        0.8915
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.9125592708587646,
+        0.9000785946846008,
+        0.8909372687339783,
+        0.8829550743103027,
+        0.8725745677947998,
+        0.8661020994186401,
+        0.8620940446853638,
+        0.8593741059303284
+      ],
+      "perturbation_rho": [
+        0.999998927116394,
+        0.9999973177909851,
+        0.9999907612800598,
+        0.9999756813049316,
+        0.9999436140060425,
+        0.9999102354049683,
+        0.9998818635940552,
+        0.9998610019683838
+      ],
+      "nudging": {
+        "0.001": [
+          -0.030986659228801727,
+          -0.015735935419797897,
+          -0.008373400196433067,
+          -0.005039836745709181,
+          -0.003523369785398245,
+          -0.0027713021263480186,
+          -0.002361869905143976,
+          -0.0021209304686635733
+        ],
+        "0.003": [
+          -0.08494532853364944,
+          -0.045218996703624725,
+          -0.02457578107714653,
+          -0.01492589246481657,
+          -0.010475864633917809,
+          -0.008255371823906898,
+          -0.0070428503677248955,
+          -0.006327956914901733
+        ],
+        "0.01": [
+          -0.20531992614269257,
+          -0.12906500697135925,
+          -0.07575342804193497,
+          -0.04753156006336212,
+          -0.033830925822257996,
+          -0.02684028074145317,
+          -0.02297976426780224,
+          -0.020688600838184357
+        ]
+      }
+    }
+  },
+  "dfa": {
+    "log": {
+      "train_loss": [
+        2.1472257511138917,
+        1.1181638860702514,
+        0.7151324203491211,
+        0.6038463168144226,
+        0.5518400527000428,
+        0.5422953238487244,
+        0.4989058882713318,
+        0.4734929576873779,
+        0.5084627376556397,
+        0.4886077699661255,
+        0.5376619051456452,
+        0.5474570850968361,
+        0.554305893278122,
+        0.5202565354347229,
+        0.5240337833404541,
+        0.5723548680782318,
+        0.6057423986911774,
+        0.6335679130554199,
+        0.8334042789459228,
+        0.6510819962501526,
+        0.6476377725601197,
+        0.9512515480041503,
+        0.7544872245788574,
+        0.7667170840382576,
+        0.6804751989364624,
+        0.6523664590835572,
+        0.71346335105896,
+        0.7457666255950928,
+        0.8066830569267273,
+        0.8132523374557495,
+        0.6988166690826416,
+        0.7388166641235352,
+        0.754392647600174,
+        0.5883678845405579,
+        0.6688721237182618,
+        0.6476173947811127,
+        0.5539654819488525,
+        0.5816531999588013,
+        0.6078351530075073,
+        0.6152278907775879,
+        0.5529029175758362,
+        0.5301448690414429,
+        0.7110752467155457,
+        0.5810994925498962,
+        0.6101164865493774,
+        0.5994223709389568,
+        0.5442744667053223,
+        0.6995502103805542,
+        0.5148768998146057,
+        0.5037326128482819,
+        0.5214518201351166,
+        0.5883345391273499,
+        0.4768081897497177,
+        0.5068866291046142,
+        0.4764488230466843,
+        0.45946760578155516,
+        0.49770396411418916,
+        0.43602915906906126,
+        0.4487738832473755,
+        0.4659734072804451,
+        0.41908207817077636,
+        0.46179782333374025,
+        0.48253716304302213,
+        0.3953704214572906,
+        0.40171479530334475,
+        0.42950227117538453,
+        0.4127807888507843,
+        0.3889078040599823,
+        0.38612646083831786,
+        0.38572493505477906,
+        0.39088242225646974,
+        0.3806451151371002,
+        0.3771796305656433,
+        0.37747309465408324,
+        0.37728043706417086,
+        0.37282773838043215,
+        0.371367804813385,
+        0.37083925895690917,
+        0.36894340143203735,
+        0.3683408546447754
+      ],
+      "train_acc": [
+        0.2179,
+        0.5936,
+        0.7332,
+        0.7781,
+        0.7909,
+        0.7968,
+        0.8133,
+        0.8234,
+        0.8206,
+        0.8287,
+        0.8186,
+        0.8215,
+        0.8234,
+        0.8267,
+        0.8339,
+        0.8278,
+        0.8222,
+        0.8158,
+        0.791,
+        0.8208,
+        0.8186,
+        0.7826,
+        0.8065,
+        0.8093,
+        0.8194,
+        0.8173,
+        0.8108,
+        0.8069,
+        0.7948,
+        0.8008,
+        0.8137,
+        0.8097,
+        0.8044,
+        0.8357,
+        0.8234,
+        0.8159,
+        0.8369,
+        0.8315,
+        0.8232,
+        0.8249,
+        0.8354,
+        0.8357,
+        0.8055,
+        0.8279,
+        0.8258,
+        0.8286,
+        0.8311,
+        0.806,
+        0.8408,
+        0.8408,
+        0.8354,
+        0.826,
+        0.8485,
+        0.8387,
+        0.8468,
+        0.8497,
+        0.8422,
+        0.8578,
+        0.8495,
+        0.8476,
+        0.8598,
+        0.8518,
+        0.8443,
+        0.8643,
+        0.8624,
+        0.854,
+        0.8613,
+        0.8654,
+        0.8629,
+        0.8669,
+        0.8666,
+        0.8697,
+        0.869,
+        0.8706,
+        0.8686,
+        0.869,
+        0.8703,
+        0.8691,
+        0.872,
+        0.8716
+      ],
+      "test_acc": [
+        0.4355,
+        0.66,
+        0.725,
+        0.7475,
+        0.753,
+        0.7685,
+        0.753,
+        0.7735,
+        0.7605,
+        0.762,
+        0.7605,
+        0.7725,
+        0.796,
+        0.7935,
+        0.7745,
+        0.7835,
+        0.7695,
+        0.684,
+        0.728,
+        0.7755,
+        0.6765,
+        0.7445,
+        0.7595,
+        0.779,
+        0.7925,
+        0.7355,
+        0.7405,
+        0.7515,
+        0.7255,
+        0.745,
+        0.7365,
+        0.717,
+        0.778,
+        0.737,
+        0.746,
+        0.805,
+        0.791,
+        0.769,
+        0.7555,
+        0.7715,
+        0.769,
+        0.721,
+        0.78,
+        0.715,
+        0.8,
+        0.7675,
+        0.7165,
+        0.796,
+        0.783,
+        0.7555,
+        0.7335,
+        0.7535,
+        0.788,
+        0.778,
+        0.803,
+        0.775,
+        0.8035,
+        0.7955,
+        0.8055,
+        0.809,
+        0.7985,
+        0.7825,
+        0.8125,
+        0.811,
+        0.803,
+        0.809,
+        0.8145,
+        0.8145,
+        0.8115,
+        0.81,
+        0.806,
+        0.815,
+        0.8145,
+        0.811,
+        0.817,
+        0.8105,
+        0.817,
+        0.814,
+        0.815,
+        0.8165
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.023487910628318787,
+        0.16097302734851837,
+        0.15321409702301025,
+        0.08171598613262177,
+        0.09132305532693863,
+        0.0943714827299118,
+        0.12134475260972977,
+        0.11624611914157867
+      ],
+      "perturbation_rho": [
+        0.006953349336981773,
+        0.2090909481048584,
+        0.23601846396923065,
+        0.09328415989875793,
+        0.10916170477867126,
+        0.12872634828090668,
+        0.15839380025863647,
+        0.12173644453287125
+      ],
+      "nudging": {
+        "0.001": [
+          -0.0014989380724728107,
+          -0.0006578433676622808,
+          -0.0004933524178341031,
+          -0.0002418495569145307,
+          -0.00026780457119457424,
+          -0.0002914518117904663,
+          -0.000365283340215683,
+          -0.0003465903864707798
+        ],
+        "0.003": [
+          -0.004386726301163435,
+          -0.0019725339952856302,
+          -0.0014801708748564124,
+          -0.0007235509110614657,
+          -0.0008033128106035292,
+          -0.0008723997161723673,
+          -0.0010960788931697607,
+          -0.0010392360854893923
+        ],
+        "0.01": [
+          -0.013351024128496647,
+          -0.0065501369535923,
+          -0.004914519842714071,
+          -0.002402292797341943,
+          -0.002674146555364132,
+          -0.0028969072736799717,
+          -0.0036479653790593147,
+          -0.0034563695080578327
+        ]
+      }
+    }
+  },
+  "state_bridge": {
+    "log": {
+      "train_loss": [
+        1.6647419631958007,
+        0.8504678049087524,
+        0.6401122513771057,
+        0.7083625171422958,
+        0.7786526877403259,
+        0.8720651931762695,
+        0.9595140518188476,
+        0.9861429462432861,
+        0.9323599586486816,
+        0.899129944229126,
+        0.9279530187606811,
+        0.8897452385902405,
+        0.8938479597091675,
+        0.8638220300674438,
+        0.906347576713562,
+        0.9050836343765258,
+        0.8499874663829804,
+        0.8411240774154664,
+        0.8651394706249237,
+        0.877176913356781,
+        0.9522077980041503,
+        0.9844632266044616,
+        1.0108419298648834,
+        0.9732825290679932,
+        0.9338093704223632,
+        0.9332979538917542,
+        0.9276250453948974,
+        0.9219045547485352,
+        0.9317381838798523,
+        0.9388368021011353,
+        0.9790681660652161,
+        0.9454907520294189,
+        0.874178562927246,
+        0.8427179465293885,
+        0.8024572835922241,
+        0.782051385307312,
+        0.7510771628379822,
+        0.7354073734283447,
+        0.72446195602417,
+        0.712243512916565,
+        0.6917177545070649,
+        0.6669502945899963,
+        0.6513918544769287,
+        0.6493661358833313,
+        0.6412696421146393,
+        0.6218226390838623,
+        0.6146662407398223,
+        0.6020424173355102,
+        0.5983524523258209,
+        0.5852884603500366,
+        0.5948307316303253,
+        0.598827698802948,
+        0.5685866483688354,
+        0.5605341876983643,
+        0.5632628833770752,
+        0.5427094759941101,
+        0.5527820866823197,
+        0.5406645874023438,
+        0.5380706032276154,
+        0.5333420150756836,
+        0.5350062875747681,
+        0.5249489510059356,
+        0.5230996351242065,
+        0.518796358013153,
+        0.5124730639457703,
+        0.5120888554573059,
+        0.5096150938987732,
+        0.5075559856414795,
+        0.501591455078125,
+        0.5030227668762207,
+        0.5024164155960082,
+        0.49786798992156983,
+        0.49755160512924196,
+        0.4957347078323364,
+        0.49382514634132385,
+        0.49241347570419314,
+        0.491490665435791,
+        0.4910508768081665,
+        0.49063307988643645,
+        0.49045275707244873
+      ],
+      "train_acc": [
+        0.3852,
+        0.6815,
+        0.7626,
+        0.7563,
+        0.7446,
+        0.7077,
+        0.6719,
+        0.6615,
+        0.669,
+        0.6782,
+        0.6744,
+        0.6783,
+        0.6715,
+        0.6817,
+        0.6797,
+        0.6778,
+        0.6958,
+        0.6924,
+        0.6897,
+        0.69,
+        0.6764,
+        0.6675,
+        0.6555,
+        0.6655,
+        0.6802,
+        0.6835,
+        0.6881,
+        0.6877,
+        0.6863,
+        0.6786,
+        0.669,
+        0.6783,
+        0.7029,
+        0.709,
+        0.723,
+        0.7296,
+        0.7405,
+        0.7436,
+        0.7473,
+        0.7544,
+        0.7569,
+        0.7609,
+        0.7668,
+        0.771,
+        0.7733,
+        0.7793,
+        0.7802,
+        0.7834,
+        0.7873,
+        0.7864,
+        0.7863,
+        0.7854,
+        0.7935,
+        0.7963,
+        0.7942,
+        0.8024,
+        0.7976,
+        0.8062,
+        0.801,
+        0.8054,
+        0.806,
+        0.8117,
+        0.8073,
+        0.8106,
+        0.8125,
+        0.8107,
+        0.8135,
+        0.8147,
+        0.8131,
+        0.8137,
+        0.8118,
+        0.8165,
+        0.8167,
+        0.8162,
+        0.8171,
+        0.8168,
+        0.817,
+        0.8161,
+        0.8167,
+        0.8165
+      ],
+      "test_acc": [
+        0.5895,
+        0.708,
+        0.7305,
+        0.718,
+        0.6995,
+        0.656,
+        0.6345,
+        0.6525,
+        0.659,
+        0.672,
+        0.665,
+        0.6575,
+        0.6675,
+        0.6645,
+        0.643,
+        0.657,
+        0.672,
+        0.659,
+        0.644,
+        0.6275,
+        0.6365,
+        0.616,
+        0.6285,
+        0.651,
+        0.6335,
+        0.652,
+        0.668,
+        0.667,
+        0.657,
+        0.636,
+        0.6035,
+        0.658,
+        0.681,
+        0.6835,
+        0.686,
+        0.714,
+        0.7165,
+        0.7065,
+        0.71,
+        0.7185,
+        0.7315,
+        0.722,
+        0.733,
+        0.7315,
+        0.734,
+        0.746,
+        0.7475,
+        0.7435,
+        0.7505,
+        0.7365,
+        0.748,
+        0.7485,
+        0.7465,
+        0.7505,
+        0.758,
+        0.75,
+        0.7545,
+        0.7575,
+        0.7535,
+        0.7565,
+        0.7515,
+        0.764,
+        0.7645,
+        0.762,
+        0.755,
+        0.761,
+        0.76,
+        0.764,
+        0.7615,
+        0.759,
+        0.7635,
+        0.7625,
+        0.7655,
+        0.761,
+        0.7635,
+        0.7625,
+        0.7665,
+        0.7665,
+        0.7655,
+        0.765
+      ],
+      "state_pred_error": [
+        0.666967880153656,
+        0.18810060460567474,
+        0.13576818842887878,
+        0.14196736080646516,
+        0.16910594053268432,
+        0.18899600715637208,
+        0.19789577519893647,
+        0.1905871472120285,
+        0.18007886242866517,
+        0.183910342335701,
+        0.17881940922737122,
+        0.1657484854698181,
+        0.15431137666702271,
+        0.14170081236362458,
+        0.11855407935380936,
+        0.100713077044487,
+        0.08262610825300216,
+        0.071003964304924,
+        0.06459200706481934,
+        0.062030674529075625,
+        0.05962726338505745,
+        0.06061183754205704,
+        0.06133104244470596,
+        0.06565195535421371,
+        0.07003685694932937,
+        0.07149426869153977,
+        0.06879985384941101,
+        0.06506773626804352,
+        0.06144233440756798,
+        0.05944625381231308,
+        0.05934193442463875,
+        0.06134367787837982,
+        0.06049462513923645,
+        0.057841612052917483,
+        0.05770603183507919,
+        0.05773961628675461,
+        0.05772487918138504,
+        0.05778447321653366,
+        0.05642248193621635,
+        0.0548339217543602,
+        0.054051065188646316,
+        0.050993192440271375,
+        0.04841424728631973,
+        0.045887135040760044,
+        0.04289465088248253,
+        0.04155976050496101,
+        0.03856938924193382,
+        0.03695869625508785,
+        0.03501249846816063,
+        0.03372661825418472,
+        0.032175442039966584,
+        0.030927191516757012,
+        0.029651006668806077,
+        0.029181170132756232,
+        0.027786281275749208,
+        0.027118772795796393,
+        0.0260584001660347,
+        0.025425236290693282,
+        0.02490214566588402,
+        0.023908728045225144,
+        0.02325147164463997,
+        0.022880420464277268,
+        0.022282150906324388,
+        0.021651219779253005,
+        0.021038192823529242,
+        0.020666827112436295,
+        0.02006532666683197,
+        0.01985739969611168,
+        0.01912949861586094,
+        0.01871727731227875,
+        0.018331202378869055,
+        0.017995913481712342,
+        0.017765129128098488,
+        0.017534943899512292,
+        0.01711267368197441,
+        0.016710035815835,
+        0.016524365159869193,
+        0.01614697908014059,
+        0.015827153462171555,
+        0.015557444103062153
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        0.8715300559997559,
+        0.44268321990966797,
+        0.14538408815860748,
+        0.1153520941734314,
+        0.09680549800395966,
+        0.08768410980701447,
+        0.08654746413230896,
+        0.08166047930717468
+      ],
+      "perturbation_rho": [
+        0.7710200548171997,
+        0.4253605008125305,
+        0.09275925159454346,
+        0.09712537378072739,
+        0.11123719066381454,
+        0.028249293565750122,
+        0.05002531409263611,
+        0.09535005688667297
+      ],
+      "nudging": {
+        "0.001": [
+          -0.025821710005402565,
+          -0.0012925827177241445,
+          -0.0003022191522177309,
+          -0.00024204532383009791,
+          -0.00020273974223528057,
+          -0.00018941261805593967,
+          -0.0001821343321353197,
+          -0.000160791736561805
+        ],
+        "0.003": [
+          -0.075216144323349,
+          -0.003872812259942293,
+          -0.0009075523121282458,
+          -0.0007258595433086157,
+          -0.0006082953768782318,
+          -0.000569098920095712,
+          -0.0005463344277814031,
+          -0.0004819876339752227
+        ],
+        "0.01": [
+          -0.22555799782276154,
+          -0.012845459394156933,
+          -0.003021553158760071,
+          -0.0024172987323254347,
+          -0.002025863155722618,
+          -0.0018953735707327724,
+          -0.0018195084994658828,
+          -0.0016054193256422877
+        ]
+      },
+      "state_pred_error_per_layer": [
+        7857.92041015625,
+        7327.2666015625,
+        4158.3056640625,
+        3231.240234375,
+        3079.712890625,
+        2843.65966796875,
+        3014.824951171875,
+        2904.82080078125
+      ]
+    }
+  },
+  "credit_bridge": {
+    "log": {
+      "train_loss": [
+        2.1516085662841795,
+        1.1302078254699708,
+        0.7157742590904236,
+        0.6024308629989624,
+        0.546905074596405,
+        0.5507895238399506,
+        0.507770078086853,
+        0.5723479291915894,
+        0.5291493295192718,
+        0.530247050857544,
+        0.5500000329971313,
+        0.5253622520446777,
+        0.5810077897071838,
+        0.6602574828147888,
+        0.5861081640243531,
+        0.5804183698654175,
+        0.717631731414795,
+        0.6733690665245056,
+        0.675653500366211,
+        0.8460637107849122,
+        0.7249561440467834,
+        0.6630854389190673,
+        0.6966967771530151,
+        0.8677938482284546,
+        0.8909709131240845,
+        0.8387028586387635,
+        0.8091570913791657,
+        0.906946435213089,
+        0.9558572208404541,
+        1.0380563579559325,
+        1.0291303350448608,
+        0.985536870956421,
+        1.1072970575332641,
+        1.191497057914734,
+        1.1032887983322144,
+        1.2925684661865235,
+        1.1835117977142333,
+        1.2306733207702636,
+        1.2600920732498169,
+        1.2520610203742981,
+        1.3718467151641847,
+        1.299546180343628,
+        1.2947479537963866,
+        1.2124139470100403,
+        1.1786796666145325,
+        1.2429542098999022,
+        1.342428367805481,
+        1.3632954509735107,
+        1.394326601409912,
+        1.4198039100646973,
+        1.3243803089141846,
+        1.2885750002861023,
+        1.2663284379005433,
+        1.2274728206634522,
+        1.193252119922638,
+        1.1811400798797607,
+        1.1389006465911866,
+        1.1180383347272873,
+        1.1007250593185425,
+        1.1166740408420563,
+        1.0792887409210206,
+        1.0779459671020508,
+        1.0732033897399902,
+        1.054119002532959,
+        1.0764888476371766,
+        1.0661647203445435,
+        1.058880652999878,
+        1.0551886323928834,
+        1.056046497440338,
+        1.0552716503143311,
+        1.0494010009765624,
+        1.0550119636535644,
+        1.056201064300537,
+        1.0538349277496337,
+        1.050132991027832,
+        1.0496547233581544,
+        1.0486548606872559,
+        1.047701007938385,
+        1.0474303240776062,
+        1.047021061706543
+      ],
+      "train_acc": [
+        0.2212,
+        0.5907,
+        0.7308,
+        0.7758,
+        0.7896,
+        0.7928,
+        0.8108,
+        0.8008,
+        0.8137,
+        0.8162,
+        0.8178,
+        0.8263,
+        0.8161,
+        0.8022,
+        0.8208,
+        0.8282,
+        0.7991,
+        0.8151,
+        0.8142,
+        0.7866,
+        0.7994,
+        0.8071,
+        0.7977,
+        0.7624,
+        0.7546,
+        0.7665,
+        0.7632,
+        0.7433,
+        0.7388,
+        0.7253,
+        0.7212,
+        0.7159,
+        0.6863,
+        0.6817,
+        0.7003,
+        0.6803,
+        0.6991,
+        0.6955,
+        0.6914,
+        0.7001,
+        0.6895,
+        0.707,
+        0.7028,
+        0.7173,
+        0.7146,
+        0.7094,
+        0.703,
+        0.7109,
+        0.7063,
+        0.7053,
+        0.7144,
+        0.7197,
+        0.7183,
+        0.7167,
+        0.7178,
+        0.7184,
+        0.7194,
+        0.7195,
+        0.7224,
+        0.7209,
+        0.7218,
+        0.7237,
+        0.7201,
+        0.7231,
+        0.7198,
+        0.7243,
+        0.7236,
+        0.7241,
+        0.7237,
+        0.7251,
+        0.7258,
+        0.725,
+        0.7239,
+        0.723,
+        0.7234,
+        0.725,
+        0.7251,
+        0.7263,
+        0.7257,
+        0.7255
+      ],
+      "test_acc": [
+        0.4255,
+        0.675,
+        0.7255,
+        0.7725,
+        0.762,
+        0.751,
+        0.778,
+        0.735,
+        0.755,
+        0.7685,
+        0.761,
+        0.735,
+        0.7375,
+        0.7705,
+        0.758,
+        0.742,
+        0.7245,
+        0.764,
+        0.695,
+        0.745,
+        0.755,
+        0.7395,
+        0.7355,
+        0.6945,
+        0.674,
+        0.6845,
+        0.6755,
+        0.678,
+        0.6845,
+        0.6555,
+        0.622,
+        0.593,
+        0.609,
+        0.665,
+        0.587,
+        0.64,
+        0.666,
+        0.673,
+        0.6695,
+        0.6125,
+        0.667,
+        0.6375,
+        0.6595,
+        0.6575,
+        0.6845,
+        0.6485,
+        0.6795,
+        0.662,
+        0.678,
+        0.6845,
+        0.6945,
+        0.6785,
+        0.688,
+        0.666,
+        0.6775,
+        0.677,
+        0.68,
+        0.6775,
+        0.673,
+        0.6735,
+        0.6695,
+        0.682,
+        0.6805,
+        0.672,
+        0.679,
+        0.68,
+        0.68,
+        0.6825,
+        0.6835,
+        0.684,
+        0.678,
+        0.6755,
+        0.682,
+        0.6815,
+        0.6845,
+        0.685,
+        0.6845,
+        0.685,
+        0.684,
+        0.6845
+      ],
+      "value_loss": [
+        2.7521291855812073,
+        0.9180910070419311,
+        0.8582979179382324,
+        0.8436930362701416,
+        0.744080483007431,
+        0.810219680595398,
+        0.7408779167175293,
+        1.0244855613708497,
+        0.9338075798034668,
+        0.9276992179870606,
+        0.9545603949546814,
+        0.9124133073806763,
+        1.1960320390701293,
+        1.4768843864440917,
+        1.2014622128486634,
+        1.2761426291465758,
+        1.7353202412605286,
+        1.597738427257538,
+        1.664009200668335,
+        2.520654060602188,
+        1.7846353689193726,
+        1.4181387130737304,
+        1.567960523223877,
+        2.1403896005630494,
+        2.0710450025558473,
+        2.0047555275917053,
+        1.959375698184967,
+        2.184535858440399,
+        2.2873155586242677,
+        2.613582395553589,
+        2.3063468826293945,
+        2.0280820404052733,
+        2.104402416610718,
+        2.331796992111206,
+        2.082660633468628,
+        3.2120836341857912,
+        2.8579379402160643,
+        2.9819380401611326,
+        3.2815154262542725,
+        3.207817875480652,
+        3.9281045833587647,
+        3.7378572341918948,
+        3.226262925720215,
+        2.85760545463562,
+        2.702269359397888,
+        3.051305528640747,
+        3.384582984352112,
+        3.556245400428772,
+        3.523557614135742,
+        3.2986526222229005,
+        3.235401312828064,
+        2.9684787987709047,
+        2.55984596824646,
+        2.2802002365112304,
+        2.024176069641113,
+        1.8845641685485839,
+        1.6243845146179199,
+        1.4509369481086731,
+        1.4253486824035644,
+        1.6850188645362854,
+        1.3281672570228578,
+        1.3769848492145538,
+        1.2704378549575805,
+        1.2368674871444703,
+        1.2117203078269958,
+        1.3598486577987672,
+        1.1672960079193115,
+        1.1324042590141297,
+        1.099521342945099,
+        1.1117371515274048,
+        1.0886727264404297,
+        1.0962153171539306,
+        1.1795017189025878,
+        1.028487562084198,
+        1.0475894167900086,
+        0.9848965644836426,
+        1.0609243473052978,
+        0.9515016955852509,
+        0.9616539595603942,
+        0.966836922454834
+      ],
+      "term_loss": [
+        1.6331857077598573,
+        0.6622896879196167,
+        0.6923012922286987,
+        0.6955949920654297,
+        0.5951863891124726,
+        0.6333560477256774,
+        0.5823763307571411,
+        0.8590701545715332,
+        0.7842735334396362,
+        0.7716574224472046,
+        0.8035843691825867,
+        0.7695848602294922,
+        1.042638046836853,
+        1.3117044958114623,
+        1.0455465385437013,
+        1.1260901271820067,
+        1.5533305332183838,
+        1.4299912959575654,
+        1.480502073287964,
+        2.2650635835170747,
+        1.540359531545639,
+        1.1929577346801759,
+        1.30778198223114,
+        1.8106209615707398,
+        1.7491421922683716,
+        1.705204432630539,
+        1.6608541017055511,
+        1.8238994772791863,
+        1.968325872039795,
+        2.2342521270751954,
+        1.8975757331848144,
+        1.6534874923706055,
+        1.7053577472686767,
+        1.9309828533172608,
+        1.7079864566802978,
+        2.7641860927581785,
+        2.395140308761597,
+        2.4995895553588867,
+        2.768734446144104,
+        2.668160421562195,
+        3.298172906398773,
+        3.190414168548584,
+        2.731164476776123,
+        2.452812270736694,
+        2.2980216970443728,
+        2.6289563937187195,
+        2.9189215684890746,
+        2.9973133351325987,
+        2.9566734222412108,
+        2.7137685440063475,
+        2.6214606603622435,
+        2.422599083995819,
+        2.051107206630707,
+        1.8390387191772462,
+        1.621574047088623,
+        1.4804828034460544,
+        1.2685496507644654,
+        1.134537624424696,
+        1.1113471033096314,
+        1.3307540964603424,
+        1.0319458944320679,
+        1.0690455146431923,
+        0.9753837090969085,
+        0.9500243383169175,
+        0.9227351568281651,
+        1.0575221673965454,
+        0.8811252347946167,
+        0.8428130342483521,
+        0.808463958287239,
+        0.8252941177845001,
+        0.80270101146698,
+        0.8058414526939393,
+        0.8659901483535767,
+        0.7385568500280381,
+        0.7546443981647492,
+        0.6945585445404052,
+        0.7605190132141113,
+        0.6639182449221611,
+        0.6647407983541489,
+        0.6684003219604492
+      ],
+      "bridge_loss": [
+        0.824764238196658,
+        0.044050000402331355,
+        0.004939059878140688,
+        0.003509629046916962,
+        0.010820124721527099,
+        0.03611986360549927,
+        0.026624655377864837,
+        0.020322174452245236,
+        0.013476835618913174,
+        0.017660238027572633,
+        0.013312850216031074,
+        0.010752266106009484,
+        0.012636999948322772,
+        0.013416536007821559,
+        0.014395894283056258,
+        0.017065528978034854,
+        0.01921152206361294,
+        0.01755097916126251,
+        0.03405968930721283,
+        0.07861232693195343,
+        0.08290403444468974,
+        0.0737902283191681,
+        0.10246425478458404,
+        0.14190780395269395,
+        0.1299729973077774,
+        0.1119936275959015,
+        0.11465253877639771,
+        0.16193265878558158,
+        0.11800107536315918,
+        0.1624113775730133,
+        0.18674517183303832,
+        0.1529373960018158,
+        0.15484059362411498,
+        0.14790502850413323,
+        0.13012928190231324,
+        0.18545440337657929,
+        0.2145381217598915,
+        0.23015552363395692,
+        0.2567644714832306,
+        0.29004801396131513,
+        0.37015869626998904,
+        0.3029533437252045,
+        0.24805833730697632,
+        0.171279403924942,
+        0.17121260148286818,
+        0.18421311897039414,
+        0.22017569878101348,
+        0.31574616441726683,
+        0.3227914002418518,
+        0.34028916625976563,
+        0.3808541042327881,
+        0.31664952936172486,
+        0.27961636044979093,
+        0.2155075138092041,
+        0.17780915865898134,
+        0.18149373128414154,
+        0.13657517416477202,
+        0.0972943355768919,
+        0.09725244807600975,
+        0.13454232428073884,
+        0.08104454445838928,
+        0.0946770872026682,
+        0.08133374876976013,
+        0.0761439936414361,
+        0.07479231785237789,
+        0.09079816563725472,
+        0.07500201788544655,
+        0.07952561552673579,
+        0.08066166642606258,
+        0.07689544649124146,
+        0.0765585425376892,
+        0.0801964148759842,
+        0.10329442504644394,
+        0.08053842852115631,
+        0.08384852820634842,
+        0.08137421063184738,
+        0.09204534806013108,
+        0.07923152014613151,
+        0.08891670184135438,
+        0.09051647346019745
+      ],
+      "tgrad_loss": [
+        0.2941792365074158,
+        0.2117513240814209,
+        0.16105757446289062,
+        0.1445884093284607,
+        0.1380739703655243,
+        0.1407437702894211,
+        0.13187693030834197,
+        0.14509323680400849,
+        0.136057210958004,
+        0.13838154821395873,
+        0.13766317186355592,
+        0.1320761749267578,
+        0.14075699508190154,
+        0.1517633568048477,
+        0.1415197740316391,
+        0.13298697410821914,
+        0.1627781904220581,
+        0.15019614602029324,
+        0.14944745190143585,
+        0.17697814086675645,
+        0.16137181975841522,
+        0.15139073028564454,
+        0.15771429176330568,
+        0.18786082315444946,
+        0.19192982950210571,
+        0.18755748383998871,
+        0.18386906574964523,
+        0.1987037330508232,
+        0.20098859162330626,
+        0.21691890804767608,
+        0.22202599787712096,
+        0.22165712327957154,
+        0.24420409016609193,
+        0.2529091139793396,
+        0.24454488706588745,
+        0.26244310545921323,
+        0.24825952727794648,
+        0.2521929540634155,
+        0.25601649553775785,
+        0.24960945417881011,
+        0.25977299585342406,
+        0.2444897561311722,
+        0.247040123963356,
+        0.23351378746032714,
+        0.23303504986763002,
+        0.2381359790325165,
+        0.2454857085943222,
+        0.2431859058380127,
+        0.24409279174804688,
+        0.24459490759372712,
+        0.23308657684326173,
+        0.22923018233776093,
+        0.22912240728139877,
+        0.22565400907993316,
+        0.22479286949634553,
+        0.22258763573169707,
+        0.21925969200134277,
+        0.21910499383211135,
+        0.21674911706447603,
+        0.21972243776321412,
+        0.21517683396339415,
+        0.21326224946975708,
+        0.21372039403915405,
+        0.2106991579055786,
+        0.21419283254146576,
+        0.21152831535339356,
+        0.21116876242160798,
+        0.21006561065912246,
+        0.21039570956230164,
+        0.2095475886583328,
+        0.20941317224502565,
+        0.21017745037078858,
+        0.21021716408729554,
+        0.20939228029251097,
+        0.2090964959383011,
+        0.208963818025589,
+        0.20835998804569245,
+        0.20835193061828614,
+        0.20799646167755126,
+        0.20792012577056884
+      ]
+    },
+    "diagnostics": {
+      "bp_cosine": [
+        -0.005484581924974918,
+        0.03739434853196144,
+        0.0736197978258133,
+        0.10366753488779068,
+        0.11266068369150162,
+        0.12653732299804688,
+        0.11692580580711365,
+        0.12426558136940002
+      ],
+      "perturbation_rho": [
+        -0.0015162499621510506,
+        0.12250564247369766,
+        0.22542724013328552,
+        0.204342320561409,
+        0.2217923402786255,
+        0.28867796063423157,
+        0.33211782574653625,
+        0.23834270238876343
+      ],
+      "nudging": {
+        "0.001": [
+          -4.532912862487137e-05,
+          -0.0006921375170350075,
+          -0.0008833008469082415,
+          -0.0010346387280151248,
+          -0.0010619328822940588,
+          -0.0011677223956212401,
+          -0.001099007437005639,
+          -0.0011405807454138994
+        ],
+        "0.003": [
+          -8.596014231443405e-05,
+          -0.002077887998893857,
+          -0.0026466129347682,
+          -0.003103021765127778,
+          -0.0031822444871068,
+          -0.0035020317882299423,
+          -0.003296034876257181,
+          -0.0034199936781078577
+        ],
+        "0.01": [
+          0.0002549269702285528,
+          -0.006913396995514631,
+          -0.008808376267552376,
+          -0.010325662791728973,
+          -0.010591026395559311,
+          -0.011654841713607311,
+          -0.010967787355184555,
+          -0.011380846612155437
+        ]
+      }
+    }
+  }
+}
\ No newline at end of file