Track legacy operator-study row data; extend generated tables

Pulls the training-set-size series, snapshot-location sweep, stress
grid, scalar-gain comparison, oracle diagnostic, and derivative-probe
rows from the experiment machine, and adds three generated fragments
(train size, snapshot location, stress grid) used by the appendix.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

1 files changed, 855 insertions, 0 deletions

diff --git a/outputs/compressed_operator_s20_256traj_T50_width64_N192/summary.json b/outputs/compressed_operator_s20_256traj_T50_width64_N192/summary.json
new file mode 100644
index 0000000..c21b189
--- /dev/null
+++ b/outputs/compressed_operator_s20_256traj_T50_width64_N192/summary.json
@@ -0,0 +1,855 @@
+{
+  "config": {
+    "input_dim": 16,
+    "output_dim": 4,
+    "width": 64,
+    "train_samples": 192,
+    "test_samples": 512,
+    "target_steps": 50,
+    "early_steps": [
+      20
+    ],
+    "lr": 0.001,
+    "init_seeds": 4,
+    "feedback_seeds": 8,
+    "data_seed": 123,
+    "feedback_scale": "relu",
+    "device": "cpu",
+    "torch_threads": 4,
+    "outdir": "outputs/compressed_operator_s20_256traj_T50_width64_N192"
+  },
+  "rows": [
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100000,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.7453357630883364,
+      "empirical_gap": 0.12602756458425945,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.74830513165478,
+      "fixed_gap": 0.14943274308086263,
+      "compressed_fa_loss": 2.7475645198495293,
+      "compressed_gap": 0.14869213127561176,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.7440799091180565,
+      "linear_gap": 0.12159902805550482,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.745283057278814,
+      "retangent_gap": 0.13048267345879205,
+      "alpha_s": 0.0029651016485648944,
+      "alpha_slope": 0.00014825508242824473,
+      "fixed_gap_error": 0.023405178496603174,
+      "compressed_gap_error": 0.022664566691352306,
+      "linear_gap_error": -0.004428536528754634,
+      "retangent_gap_error": 0.004455108874532598
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100001,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.7309895936177306,
+      "empirical_gap": 0.11168139511365371,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.744415508645007,
+      "fixed_gap": 0.1455431200710895,
+      "compressed_fa_loss": 2.724662093549141,
+      "compressed_gap": 0.12578970497522324,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.7302846032679877,
+      "linear_gap": 0.10780372220543599,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.734458969899039,
+      "retangent_gap": 0.11965858607901714,
+      "alpha_s": 0.08982561365142533,
+      "alpha_slope": 0.004491280682571266,
+      "fixed_gap_error": 0.03386172495743578,
+      "compressed_gap_error": 0.014108309861569523,
+      "linear_gap_error": -0.003877672908217722,
+      "retangent_gap_error": 0.007977190965363423
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100002,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.7187365058274935,
+      "empirical_gap": 0.09942830732341656,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.709461977036985,
+      "fixed_gap": 0.11058958846306766,
+      "compressed_fa_loss": 2.709461977036985,
+      "compressed_gap": 0.11058958846306766,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.7194689639964102,
+      "linear_gap": 0.09698808293385852,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.7161543118827303,
+      "retangent_gap": 0.10135392806270849,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.011161281139651091,
+      "compressed_gap_error": 0.011161281139651091,
+      "linear_gap_error": -0.0024402243895580433,
+      "retangent_gap_error": 0.0019256207392919222
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100003,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.721579703896914,
+      "empirical_gap": 0.10227150539283691,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.725690614451969,
+      "fixed_gap": 0.12681822587805147,
+      "compressed_fa_loss": 2.7215050466711084,
+      "compressed_gap": 0.12263265809719082,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.7220421763805924,
+      "linear_gap": 0.0995612953180407,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.7232635441592734,
+      "retangent_gap": 0.10846316033925163,
+      "alpha_s": 0.022281470289418456,
+      "alpha_slope": 0.0011140735144709228,
+      "fixed_gap_error": 0.024546720485214557,
+      "compressed_gap_error": 0.020361152704353902,
+      "linear_gap_error": -0.0027102100747962155,
+      "retangent_gap_error": 0.006191654946414715
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100004,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.730620502408231,
+      "empirical_gap": 0.11131230390415414,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.739001489374059,
+      "fixed_gap": 0.14012910080014152,
+      "compressed_fa_loss": 2.72415770389139,
+      "compressed_gap": 0.12528531531747245,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.730409420152212,
+      "linear_gap": 0.10792853908966027,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.7332921041286014,
+      "retangent_gap": 0.11849172030857957,
+      "alpha_s": 0.07252563184531244,
+      "alpha_slope": 0.003626281592265622,
+      "fixed_gap_error": 0.028816796895987373,
+      "compressed_gap_error": 0.013973011413318304,
+      "linear_gap_error": -0.0033837648144938726,
+      "retangent_gap_error": 0.007179416404425432
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100005,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.6989178465440222,
+      "empirical_gap": 0.0796096480399453,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.6972883198536857,
+      "fixed_gap": 0.09841593127976811,
+      "compressed_fa_loss": 2.6972883198536857,
+      "compressed_gap": 0.09841593127976811,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.699395263024737,
+      "linear_gap": 0.07691438196218536,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.6987090925993815,
+      "retangent_gap": 0.08390870877935974,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.018806283239822807,
+      "compressed_gap_error": 0.018806283239822807,
+      "linear_gap_error": -0.002695266077759939,
+      "retangent_gap_error": 0.00429906073941444
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100006,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.716828978180805,
+      "empirical_gap": 0.0975207796767279,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.7140720940032224,
+      "fixed_gap": 0.1151997054293048,
+      "compressed_fa_loss": 2.7140720940032224,
+      "compressed_gap": 0.1151997054293048,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.7162597293467416,
+      "linear_gap": 0.09377884828418992,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.7157404080204586,
+      "retangent_gap": 0.1009400242004368,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.0176789257525769,
+      "compressed_gap_error": 0.0176789257525769,
+      "linear_gap_error": -0.0037419313925379782,
+      "retangent_gap_error": 0.0034192445237088975
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100007,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.619308198504077,
+      "empirical_fa_loss": 2.705906578222983,
+      "empirical_gap": 0.08659837971890605,
+      "fixed_bp_loss": 2.5988723885739176,
+      "fixed_fa_loss": 2.7053205338264186,
+      "fixed_gap": 0.10644814525250101,
+      "compressed_fa_loss": 2.7022437003185313,
+      "compressed_gap": 0.10337131174461378,
+      "linear_bp_loss": 2.6224808810625517,
+      "linear_fa_loss": 2.7058873438707116,
+      "linear_gap": 0.08340646280815989,
+      "retangent_bp_loss": 2.614800383820022,
+      "retangent_fa_loss": 2.7061771537210055,
+      "retangent_gap": 0.09137676990098376,
+      "alpha_s": 0.01987961016664335,
+      "alpha_slope": 0.0009939805083321676,
+      "fixed_gap_error": 0.019849765533594965,
+      "compressed_gap_error": 0.016772932025707732,
+      "linear_gap_error": -0.003191916910746162,
+      "retangent_gap_error": 0.0047783901820777075
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101000,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.7777624061651207,
+      "empirical_gap": 0.12378195873061593,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.778521072145107,
+      "fixed_gap": 0.14045581650726202,
+      "compressed_fa_loss": 2.778521072145107,
+      "compressed_gap": 0.14045581650726202,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.7774617773602324,
+      "linear_gap": 0.12135131079074135,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.7778664246794023,
+      "retangent_gap": 0.1273829116615759,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.016673857776646095,
+      "compressed_gap_error": 0.016673857776646095,
+      "linear_gap_error": -0.002430647939874575,
+      "retangent_gap_error": 0.0036009529309599664
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101001,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.770210414116305,
+      "empirical_gap": 0.11622996668180008,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.777841377912813,
+      "fixed_gap": 0.13977612227496827,
+      "compressed_fa_loss": 2.7648213803236756,
+      "compressed_gap": 0.12675612468583086,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.7715648849937637,
+      "linear_gap": 0.11545441842427273,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.773341930815952,
+      "retangent_gap": 0.12285841779812579,
+      "alpha_s": 0.06140643802157843,
+      "alpha_slope": 0.0030703219010789215,
+      "fixed_gap_error": 0.023546155593168194,
+      "compressed_gap_error": 0.010526158004030783,
+      "linear_gap_error": -0.0007755482575273476,
+      "retangent_gap_error": 0.0066284511163257065
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101002,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.774574026801871,
+      "empirical_gap": 0.12059357936736603,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.781840992512343,
+      "fixed_gap": 0.14377573687449807,
+      "compressed_fa_loss": 2.781840992512343,
+      "compressed_gap": 0.14377573687449807,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.775166615417795,
+      "linear_gap": 0.11905614884830396,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.7770163131250833,
+      "retangent_gap": 0.12653280010725698,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.02318215750713204,
+      "compressed_gap_error": 0.02318215750713204,
+      "linear_gap_error": -0.0015374305190620774,
+      "retangent_gap_error": 0.005939220739890949
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101003,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.7683747927037423,
+      "empirical_gap": 0.11439434526923753,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.770321563201019,
+      "fixed_gap": 0.1322563075631744,
+      "compressed_fa_loss": 2.76894327257723,
+      "compressed_gap": 0.13087801693938506,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.768612645490981,
+      "linear_gap": 0.11250217892149017,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.769526520933803,
+      "retangent_gap": 0.11904300791597677,
+      "alpha_s": 0.006051609544462969,
+      "alpha_slope": 0.00030258047722314847,
+      "fixed_gap_error": 0.017861962293936884,
+      "compressed_gap_error": 0.016483671670147526,
+      "linear_gap_error": -0.0018921663477473594,
+      "retangent_gap_error": 0.004648662646739243
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101004,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.759861282317883,
+      "empirical_gap": 0.1058808348833784,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.7568112831594753,
+      "fixed_gap": 0.11874602752163055,
+      "compressed_fa_loss": 2.7568112831594753,
+      "compressed_gap": 0.11874602752163055,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.7614890300186463,
+      "linear_gap": 0.1053785634491553,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.7598087117058583,
+      "retangent_gap": 0.10932519868803192,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.012865192638252143,
+      "compressed_gap_error": 0.012865192638252143,
+      "linear_gap_error": -0.0005022714342231005,
+      "retangent_gap_error": 0.0034443638046535163
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101005,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.7542476980886703,
+      "empirical_gap": 0.10026725065416553,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.744802600265024,
+      "fixed_gap": 0.1067373446271791,
+      "compressed_fa_loss": 2.744802600265024,
+      "compressed_gap": 0.1067373446271791,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.755978092000485,
+      "linear_gap": 0.09986762543099381,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.752461229485476,
+      "retangent_gap": 0.10197771646764942,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.006470093973013569,
+      "compressed_gap_error": 0.006470093973013569,
+      "linear_gap_error": -0.0003996252231717179,
+      "retangent_gap_error": 0.0017104658134838857
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101006,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.735821959537343,
+      "empirical_gap": 0.08184151210283819,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.731915612378051,
+      "fixed_gap": 0.09385035674020603,
+      "compressed_fa_loss": 2.731915612378051,
+      "compressed_gap": 0.09385035674020603,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.7379472792058235,
+      "linear_gap": 0.08183681263633247,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.7353406707139793,
+      "retangent_gap": 0.08485715769615298,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.012008844637367844,
+      "compressed_gap_error": 0.012008844637367844,
+      "linear_gap_error": -4.69946650571984e-06,
+      "retangent_gap_error": 0.0030156455933147974
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101007,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.653980447434505,
+      "empirical_fa_loss": 2.7397017525046934,
+      "empirical_gap": 0.0857213050701886,
+      "fixed_bp_loss": 2.6380652556378448,
+      "fixed_fa_loss": 2.7431766472299692,
+      "fixed_gap": 0.10511139159212446,
+      "compressed_fa_loss": 2.7401322146866747,
+      "compressed_gap": 0.1020669590488299,
+      "linear_bp_loss": 2.656110466569491,
+      "linear_fa_loss": 2.7391766132902746,
+      "linear_gap": 0.0830661467207836,
+      "retangent_bp_loss": 2.6504835130178264,
+      "retangent_fa_loss": 2.739813449819401,
+      "retangent_gap": 0.08932993680157475,
+      "alpha_s": 0.01900792312163228,
+      "alpha_slope": 0.000950396156081614,
+      "fixed_gap_error": 0.019390086521935856,
+      "compressed_gap_error": 0.016345653978641295,
+      "linear_gap_error": -0.0026551583494049957,
+      "retangent_gap_error": 0.003608631731386147
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102000,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.9871622150454447,
+      "empirical_gap": 0.12161551185171193,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 2.9899118944898255,
+      "fixed_gap": 0.14131112759541642,
+      "compressed_fa_loss": 2.987714782331093,
+      "compressed_gap": 0.1391140154366841,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.9879942942077733,
+      "linear_gap": 0.1223723422299301,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.988078845494543,
+      "retangent_gap": 0.12792326161866008,
+      "alpha_s": 0.011621651548228883,
+      "alpha_slope": 0.0005810825774114441,
+      "fixed_gap_error": 0.019695615743704487,
+      "compressed_gap_error": 0.01749850358497218,
+      "linear_gap_error": 0.0007568303782181651,
+      "retangent_gap_error": 0.006307749766948145
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102001,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.9747741149636373,
+      "empirical_gap": 0.10922741176990458,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 2.9720944308017807,
+      "fixed_gap": 0.1234936639073716,
+      "compressed_fa_loss": 2.968467837170941,
+      "compressed_gap": 0.11986707027653187,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.975178239851756,
+      "linear_gap": 0.1095562878739127,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.974015340625216,
+      "retangent_gap": 0.11385975674933313,
+      "alpha_s": 0.021864421926990552,
+      "alpha_slope": 0.0010932210963495277,
+      "fixed_gap_error": 0.014266252137467017,
+      "compressed_gap_error": 0.010639658506627292,
+      "linear_gap_error": 0.0003288761040081134,
+      "retangent_gap_error": 0.004632344979428549
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102002,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.9717393505632272,
+      "empirical_gap": 0.10619264736949452,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 2.975357446715538,
+      "fixed_gap": 0.12675667982112904,
+      "compressed_fa_loss": 2.9716068639697695,
+      "compressed_gap": 0.12300609707536037,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.970277696496622,
+      "linear_gap": 0.10465574451877879,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.971834896607336,
+      "retangent_gap": 0.11167931273145282,
+      "alpha_s": 0.021663824559993484,
+      "alpha_slope": 0.001083191227999674,
+      "fixed_gap_error": 0.020564032451634517,
+      "compressed_gap_error": 0.016813449705865846,
+      "linear_gap_error": -0.0015369028507157267,
+      "retangent_gap_error": 0.005486665361958298
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102003,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.9670025333677703,
+      "empirical_gap": 0.10145583017403759,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 2.9632165313662036,
+      "fixed_gap": 0.11461576447179445,
+      "compressed_fa_loss": 2.961136928869768,
+      "compressed_gap": 0.11253616197535887,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.9667205796203326,
+      "linear_gap": 0.10109862764248945,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.9654693340889082,
+      "retangent_gap": 0.10531375021302525,
+      "alpha_s": 0.013572990420989589,
+      "alpha_slope": 0.0006786495210494794,
+      "fixed_gap_error": 0.013159934297756859,
+      "compressed_gap_error": 0.011080331801321286,
+      "linear_gap_error": -0.00035720253154813975,
+      "retangent_gap_error": 0.003857920038987661
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102004,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.964418340369937,
+      "empirical_gap": 0.09887163717620417,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 2.9681647991959053,
+      "fixed_gap": 0.11956403230149615,
+      "compressed_fa_loss": 2.956478983512435,
+      "compressed_gap": 0.1078782166180261,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.963102832513929,
+      "linear_gap": 0.09748088053608583,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.964549019828123,
+      "retangent_gap": 0.10439343595224004,
+      "alpha_s": 0.07440385774117278,
+      "alpha_slope": 0.003720192887058639,
+      "fixed_gap_error": 0.020692395125291974,
+      "compressed_gap_error": 0.009006579441821927,
+      "linear_gap_error": -0.0013907566401183402,
+      "retangent_gap_error": 0.005521798776035869
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102005,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.9800639145154535,
+      "empirical_gap": 0.11451721132172077,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 2.9722997430338634,
+      "fixed_gap": 0.12369897613945424,
+      "compressed_fa_loss": 2.9722997430338634,
+      "compressed_gap": 0.12369897613945424,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.981849169763132,
+      "linear_gap": 0.11622721778528877,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.9784935378593267,
+      "retangent_gap": 0.11833795398344371,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.009181764817733473,
+      "compressed_gap_error": 0.009181764817733473,
+      "linear_gap_error": 0.0017100064635680035,
+      "retangent_gap_error": 0.0038207426617229423
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102006,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.970554518193028,
+      "empirical_gap": 0.10500781499929523,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 2.9643453649454155,
+      "fixed_gap": 0.11574459805100634,
+      "compressed_fa_loss": 2.9643453649454155,
+      "compressed_gap": 0.11574459805100634,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.971012190131784,
+      "linear_gap": 0.10539023815394089,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.968805494138628,
+      "retangent_gap": 0.10864991026274495,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.010736783051711107,
+      "compressed_gap_error": 0.010736783051711107,
+      "linear_gap_error": 0.00038242315464565024,
+      "retangent_gap_error": 0.0036420952634497183
+    },
+    {
+      "init_seed": 10002,
+      "feedback_seed": 102007,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.8655467031937327,
+      "empirical_fa_loss": 2.9956455003524596,
+      "empirical_gap": 0.13009879715872685,
+      "fixed_bp_loss": 2.848600766894409,
+      "fixed_fa_loss": 3.0001492785118358,
+      "fixed_gap": 0.15154851161742666,
+      "compressed_fa_loss": 2.9960563877948054,
+      "compressed_gap": 0.14745562090039632,
+      "linear_bp_loss": 2.865621951977843,
+      "linear_fa_loss": 2.9944302979207005,
+      "linear_gap": 0.12880834594285728,
+      "retangent_bp_loss": 2.860155583875883,
+      "retangent_fa_loss": 2.996112925565647,
+      "retangent_gap": 0.13595734168976392,
+      "alpha_s": 0.019116921469206166,
+      "alpha_slope": 0.0009558460734603083,
+      "fixed_gap_error": 0.02144971445869981,
+      "compressed_gap_error": 0.01735682374166947,
+      "linear_gap_error": -0.0012904512158695702,
+      "retangent_gap_error": 0.005858544531037069
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103000,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.7663381320175677,
+      "empirical_gap": 0.08564298487973288,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.7641016245160017,
+      "fixed_gap": 0.0930428874186604,
+      "compressed_fa_loss": 2.7641016245160017,
+      "compressed_gap": 0.0930428874186604,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.7675574094924484,
+      "linear_gap": 0.08641293721776533,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.766236990407357,
+      "retangent_gap": 0.08851143266116557,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.0073999025389275275,
+      "compressed_gap_error": 0.0073999025389275275,
+      "linear_gap_error": 0.0007699523380324536,
+      "retangent_gap_error": 0.0028684477814326925
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103001,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.7842473442059226,
+      "empirical_gap": 0.10355219706808771,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.7832746864866884,
+      "fixed_gap": 0.11221594938934709,
+      "compressed_fa_loss": 2.7832746864866884,
+      "compressed_gap": 0.11221594938934709,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.784264806578378,
+      "linear_gap": 0.10312033430369505,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.7837455358702408,
+      "retangent_gap": 0.10601997812404917,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.008663752321259377,
+      "compressed_gap_error": 0.008663752321259377,
+      "linear_gap_error": -0.00043186276439266535,
+      "retangent_gap_error": 0.00246778105596146
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103002,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.7898795398982776,
+      "empirical_gap": 0.10918439276044278,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.7928037994051507,
+      "fixed_gap": 0.12174506230780935,
+      "compressed_fa_loss": 2.7874712201832303,
+      "compressed_gap": 0.11641248308588903,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.789451286001428,
+      "linear_gap": 0.10830681372674489,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.79057247419204,
+      "retangent_gap": 0.11284691644584832,
+      "alpha_s": 0.032884326437547046,
+      "alpha_slope": 0.0016442163218773522,
+      "fixed_gap_error": 0.012560669547366565,
+      "compressed_gap_error": 0.007228090325446246,
+      "linear_gap_error": -0.000877579033697895,
+      "retangent_gap_error": 0.0036625236854055387
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103003,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.788554653179243,
+      "empirical_gap": 0.10785950604140826,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.7905509463460607,
+      "fixed_gap": 0.1194922092487194,
+      "compressed_fa_loss": 2.788912209800181,
+      "compressed_gap": 0.11785347270283975,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.788564032557399,
+      "linear_gap": 0.10741956028271593,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.789431154073035,
+      "retangent_gap": 0.11170559632684363,
+      "alpha_s": 0.010087577890691707,
+      "alpha_slope": 0.0005043788945345853,
+      "fixed_gap_error": 0.011632703207311135,
+      "compressed_gap_error": 0.009993966661431486,
+      "linear_gap_error": -0.0004399457586923283,
+      "retangent_gap_error": 0.0038460902854353662
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103004,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.7836885483982563,
+      "empirical_gap": 0.10299340126042145,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.783794460956292,
+      "fixed_gap": 0.11273572385895081,
+      "compressed_fa_loss": 2.782606447044312,
+      "compressed_gap": 0.11154770994697083,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.783863816949854,
+      "linear_gap": 0.10271934467517108,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.7839182717584197,
+      "retangent_gap": 0.10619271401222807,
+      "alpha_s": 0.007887945737607729,
+      "alpha_slope": 0.0003943972868803864,
+      "fixed_gap_error": 0.009742322598529363,
+      "compressed_gap_error": 0.008554308686549383,
+      "linear_gap_error": -0.0002740565852503707,
+      "retangent_gap_error": 0.0031993127518066267
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103005,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.7767565407954256,
+      "empirical_gap": 0.0960613936575907,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.7736274135840726,
+      "fixed_gap": 0.10256867648673129,
+      "compressed_fa_loss": 2.7736274135840726,
+      "compressed_gap": 0.10256867648673129,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.776296870376927,
+      "linear_gap": 0.09515239810224374,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.775706334399087,
+      "retangent_gap": 0.09798077665289551,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.006507282829140593,
+      "compressed_gap_error": 0.006507282829140593,
+      "linear_gap_error": -0.0009089955553469586,
+      "retangent_gap_error": 0.001919382995304808
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103006,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.7679434555486817,
+      "empirical_gap": 0.08724830841084685,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.7670682664329864,
+      "fixed_gap": 0.0960095293356451,
+      "compressed_fa_loss": 2.7670682664329864,
+      "compressed_gap": 0.0960095293356451,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.7675526224234495,
+      "linear_gap": 0.08640815014876635,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.7672623050317675,
+      "retangent_gap": 0.08953674728557592,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.008761220924798252,
+      "compressed_gap_error": 0.008761220924798252,
+      "linear_gap_error": -0.0008401582620805037,
+      "retangent_gap_error": 0.0022884388747290707
+    },
+    {
+      "init_seed": 10003,
+      "feedback_seed": 103007,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.680695147137835,
+      "empirical_fa_loss": 2.790598442717194,
+      "empirical_gap": 0.1099032955793593,
+      "fixed_bp_loss": 2.6710587370973413,
+      "fixed_fa_loss": 2.793906130547827,
+      "fixed_gap": 0.12284739345048568,
+      "compressed_fa_loss": 2.7900249258306205,
+      "compressed_gap": 0.11896618873327913,
+      "linear_bp_loss": 2.681144472274683,
+      "linear_fa_loss": 2.790206527528197,
+      "linear_gap": 0.10906205525351398,
+      "retangent_bp_loss": 2.6777255577461916,
+      "retangent_fa_loss": 2.7912293110707878,
+      "retangent_gap": 0.11350375332459617,
+      "alpha_s": 0.024003461107311237,
+      "alpha_slope": 0.0012001730553655619,
+      "fixed_gap_error": 0.012944097871126381,
+      "compressed_gap_error": 0.009062893153919838,
+      "linear_gap_error": -0.000841240325845316,
+      "retangent_gap_error": 0.0036004577452368736
+    }
+  ]
+}