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>

2 files changed, 674 insertions, 0 deletions

diff --git a/outputs/compressed_operator_retangent_T50_width64_N224/compressed_operator_rows.csv b/outputs/compressed_operator_retangent_T50_width64_N224/compressed_operator_rows.csv
new file mode 100644
index 0000000..802325b
--- /dev/null
+++ b/outputs/compressed_operator_retangent_T50_width64_N224/compressed_operator_rows.csv
@@ -0,0 +1,25 @@
+init_seed,feedback_seed,target_steps,early_steps,empirical_bp_loss,empirical_fa_loss,empirical_gap,fixed_bp_loss,fixed_fa_loss,fixed_gap,compressed_fa_loss,compressed_gap,linear_bp_loss,linear_fa_loss,linear_gap,retangent_bp_loss,retangent_fa_loss,retangent_gap,alpha_s,alpha_slope,fixed_gap_error,compressed_gap_error,linear_gap_error,retangent_gap_error

+10000,100000,50,5,2.6526538583153183,2.7599533289420513,0.10729947062673295,2.629694004432585,2.756962953554878,0.1272689491222927,2.756962953554878,0.1272689491222927,2.672316934118275,2.7677282928838127,0.09541135876553763,2.6374256265808174,2.758813260066276,0.12138763348545867,0.0,0.0,0.019969478495559745,0.019969478495559745,-0.011888111861195316,0.014088162858725717

+10000,100000,50,10,2.6526538583153183,2.7599533289420513,0.10729947062673295,2.629694004432585,2.756962953554878,0.1272689491222927,2.756962953554878,0.1272689491222927,2.6655327993018907,2.767789594828327,0.1022567955264364,2.6424221508367225,2.7607068237059,0.11828467286917732,0.0,0.0,0.019969478495559745,0.019969478495559745,-0.005042675100296545,0.01098520224244437

+10000,100000,50,20,2.6526538583153183,2.7599533289420513,0.10729947062673295,2.629694004432585,2.756962953554878,0.1272689491222927,2.756567605834241,0.12687360140165582,2.657508919232941,2.762195364277091,0.10468644504415003,2.6483962310160414,2.760780684998647,0.11238445398260577,0.0018719820461338469,9.359910230669234e-05,0.019969478495559745,0.01957413077492287,-0.0026130255825829174,0.005084983355872819

+10000,100001,50,5,2.6526538583153183,2.7502928266889923,0.09763896837367403,2.629694004432585,2.76346229519116,0.13376829075857488,2.74322629447676,0.11353229004417464,2.672316934118275,2.750553953641688,0.07823701952341278,2.6374256265808174,2.7602421522092455,0.12281652562842815,0.02533230570114322,0.005066461140228644,0.03612932238490085,0.015893321670500615,-0.019401948850261252,0.025177557254754124

+10000,100001,50,10,2.6526538583153183,2.7502928266889923,0.09763896837367403,2.629694004432585,2.76346229519116,0.13376829075857488,2.7447380717930168,0.1150440673604316,2.6655327993018907,2.7508745084058526,0.08534170910396188,2.6424221508367225,2.758075319496413,0.11565316865969066,0.046762430219602115,0.0046762430219602115,0.03612932238490085,0.017405098986757572,-0.012297259269712146,0.018014200286016635

+10000,100001,50,20,2.6526538583153183,2.7502928266889923,0.09763896837367403,2.629694004432585,2.76346229519116,0.13376829075857488,2.7465787033899356,0.11688469895735043,2.657508919232941,2.7503944123966697,0.09288549316372885,2.6483962310160414,2.7544541376370413,0.1060579066209999,0.08407530065978872,0.004203765032989436,0.03612932238490085,0.0192457305836764,-0.004753475209945179,0.008418938247325869

+10000,100002,50,5,2.6526538583153183,2.7398792137077725,0.08722535539245424,2.629694004432585,2.729246166694613,0.0995521622620279,2.729246166694613,0.0995521622620279,2.672316934118275,2.743931586189766,0.07161465207149087,2.6374256265808174,2.731412448333121,0.09398682175230366,0.0,0.0,0.012326806869573659,0.012326806869573659,-0.01561070332096337,0.006761466359849422

+10000,100002,50,10,2.6526538583153183,2.7398792137077725,0.08722535539245424,2.629694004432585,2.729246166694613,0.0995521622620279,2.729246166694613,0.0995521622620279,2.6655327993018907,2.7428946454307854,0.07736184612889474,2.6424221508367225,2.733450409270173,0.0910282584334503,0.0,0.0,0.012326806869573659,0.012326806869573659,-0.0098635092635595,0.003802903040996064

+10000,100002,50,20,2.6526538583153183,2.7398792137077725,0.08722535539245424,2.629694004432585,2.729246166694613,0.0995521622620279,2.729246166694613,0.0995521622620279,2.657508919232941,2.7428513982238565,0.08534247899091563,2.6483962310160414,2.7373374660270744,0.08894123501103302,0.0,0.0,0.012326806869573659,0.012326806869573659,-0.0018828764015386135,0.001715879618578775

+10000,100003,50,5,2.6526538583153183,2.736048180645907,0.08339432233058863,2.629694004432585,2.742223842018859,0.112529837586274,2.7389876125749972,0.10929360814241207,2.672316934118275,2.7369660296729443,0.06464909555466924,2.6374256265808174,2.741018498762238,0.10359287218142077,0.004717728402639097,0.0009435456805278193,0.029135515255685362,0.025899285811823436,-0.018745226775919388,0.020198549850832137

+10000,100003,50,10,2.6526538583153183,2.736048180645907,0.08339432233058863,2.629694004432585,2.742223842018859,0.112529837586274,2.7378986238396266,0.1082046194070414,2.6655327993018907,2.7387338155088523,0.07320101620696162,2.6424221508367225,2.740702806811513,0.09828065597479041,0.012636139713855224,0.0012636139713855224,0.029135515255685362,0.02481029707645277,-0.01019330612362701,0.014886333644201777

+10000,100003,50,20,2.6526538583153183,2.736048180645907,0.08339432233058863,2.629694004432585,2.742223842018859,0.112529837586274,2.7371805052124523,0.1074865007798671,2.657508919232941,2.7362545684716566,0.07874564923871574,2.6483962310160414,2.738220810453821,0.08982457943777966,0.029507812636247167,0.0014753906318123583,0.029135515255685362,0.024092178449278467,-0.00464867309187289,0.006430257107191029

+10001,101000,50,5,2.907181676289389,3.038149366819684,0.13096769053029522,2.885922405634162,3.041025167815324,0.15510276218116203,3.041025167815324,0.15510276218116203,2.915744837619422,3.0327005567173293,0.11695571909790736,2.8911407165434837,3.0384488928434235,0.14730817629993975,0.0,0.0,0.024135071650866813,0.024135071650866813,-0.01401197143238786,0.01634048576964453

+10001,101000,50,10,2.907181676289389,3.038149366819684,0.13096769053029522,2.885922405634162,3.041025167815324,0.15510276218116203,3.041025167815324,0.15510276218116203,2.9174310692891217,3.037543584887782,0.12011251559866043,2.897095110967698,3.0384718723598056,0.14137676139210775,0.0,0.0,0.024135071650866813,0.024135071650866813,-0.010855174931634792,0.01040907086181253

+10001,101000,50,20,2.907181676289389,3.038149366819684,0.13096769053029522,2.885922405634162,3.041025167815324,0.15510276218116203,3.041025167815324,0.15510276218116203,2.9112439038291478,3.0386221400244797,0.12737823619533195,2.902941121563251,3.038181902700166,0.13524078113691518,0.0,0.0,0.024135071650866813,0.024135071650866813,-0.0035894543349632713,0.004273090606619956

+10001,101001,50,5,2.907181676289389,3.0181562571281124,0.11097458083872347,2.885922405634162,3.0223555746748056,0.1364331690406435,3.0091200506894507,0.12319764505528852,2.915744837619422,3.016445889838837,0.10070105221941494,2.8911407165434837,3.0204805482777024,0.1293398317342187,0.01611022705826203,0.0032220454116524055,0.02545858820192004,0.01222306421656505,-0.010273528619308525,0.018365250895495233

+10001,101001,50,10,2.907181676289389,3.0181562571281124,0.11097458083872347,2.885922405634162,3.0223555746748056,0.1364331690406435,3.0094118906104685,0.12348948497630641,2.9174310692891217,3.0172635853827585,0.09983251609363686,2.897095110967698,3.0198328212036643,0.12273771023596636,0.03149590363290917,0.0031495903632909167,0.02545858820192004,0.012514904137582938,-0.01114206474508661,0.011763129397242889

+10001,101001,50,20,2.907181676289389,3.0181562571281124,0.11097458083872347,2.885922405634162,3.0223555746748056,0.1364331690406435,3.010772177997027,0.12484977236286499,2.9112439038291478,3.018681652192283,0.10743774836313502,2.902941121563251,3.0193692384445012,0.11642811688125043,0.05625439966724597,0.0028127199833622987,0.02545858820192004,0.013875191524141517,-0.0035368324755884473,0.005453536042526963

+10001,101002,50,5,2.907181676289389,3.0346327332065814,0.1274510569171925,2.885922405634162,3.034693259894646,0.14877085426048398,3.034693259894646,0.14877085426048398,2.915744837619422,3.0387138005245355,0.12296896290511361,2.8911407165434837,3.035441191602746,0.14430047505926247,0.0,0.0,0.02131979734329148,0.02131979734329148,-0.0044820940120788855,0.016849418142069972

+10001,101002,50,10,2.907181676289389,3.0346327332065814,0.1274510569171925,2.885922405634162,3.034693259894646,0.14877085426048398,3.034693259894646,0.14877085426048398,2.9174310692891217,3.0373021446753166,0.1198710753861949,2.897095110967698,3.035615752211822,0.13852064124412422,0.0,0.0,0.02131979734329148,0.02131979734329148,-0.007579981530997593,0.011069584326931725

+10001,101002,50,20,2.907181676289389,3.0346327332065814,0.1274510569171925,2.885922405634162,3.034693259894646,0.14877085426048398,3.034693259894646,0.14877085426048398,2.9112439038291478,3.035261390729715,0.12401748690056724,2.902941121563251,3.0353780767934286,0.13243695523017784,0.0,0.0,0.02131979734329148,0.02131979734329148,-0.0034335700166252536,0.0049858983129853485

+10001,101003,50,5,2.907181676289389,3.011225185254111,0.10404350896472225,2.885922405634162,3.011970058076194,0.12604765244203175,3.0115603248979985,0.12563791926383638,2.915744837619422,3.013664279012858,0.09791944139343611,2.8911407165434837,3.012013909343353,0.12087319279986941,0.00048492844327480887,9.698568865496177e-05,0.0220041434773095,0.02159441029911413,-0.00612406757128614,0.016829683835147158

+10001,101003,50,10,2.907181676289389,3.011225185254111,0.10404350896472225,2.885922405634162,3.011970058076194,0.12604765244203175,3.010641733163847,0.12471932752968495,2.9174310692891217,3.0125943468354524,0.0951632775463307,2.897095110967698,3.0120802939395737,0.11498518297187577,0.0031497050815617153,0.0003149705081561715,0.0220041434773095,0.0206758185649627,-0.00888023141839156,0.010941674007153512

+10001,101003,50,20,2.907181676289389,3.011225185254111,0.10404350896472225,2.885922405634162,3.011970058076194,0.12604765244203175,3.010068994638586,0.12414658900442399,2.9112439038291478,3.0111468955556275,0.09990299172647976,2.902941121563251,3.011566279823419,0.10862515826016805,0.009025381376123135,0.00045126906880615675,0.0220041434773095,0.020103080039701737,-0.0041405172382424915,0.0045816492954458

diff --git a/outputs/compressed_operator_retangent_T50_width64_N224/summary.json b/outputs/compressed_operator_retangent_T50_width64_N224/summary.json
new file mode 100644
index 0000000..c48b1fd
--- /dev/null
+++ b/outputs/compressed_operator_retangent_T50_width64_N224/summary.json
@@ -0,0 +1,649 @@
+{
+  "config": {
+    "input_dim": 16,
+    "output_dim": 4,
+    "width": 64,
+    "train_samples": 224,
+    "test_samples": 512,
+    "target_steps": 50,
+    "early_steps": [
+      5,
+      10,
+      20
+    ],
+    "lr": 0.001,
+    "init_seeds": 2,
+    "feedback_seeds": 4,
+    "data_seed": 123,
+    "feedback_scale": "relu",
+    "device": "cpu",
+    "torch_threads": 4,
+    "outdir": "outputs/compressed_operator_retangent_T50_width64_N224"
+  },
+  "rows": [
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100000,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7599533289420513,
+      "empirical_gap": 0.10729947062673295,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.756962953554878,
+      "fixed_gap": 0.1272689491222927,
+      "compressed_fa_loss": 2.756962953554878,
+      "compressed_gap": 0.1272689491222927,
+      "linear_bp_loss": 2.672316934118275,
+      "linear_fa_loss": 2.7677282928838127,
+      "linear_gap": 0.09541135876553763,
+      "retangent_bp_loss": 2.6374256265808174,
+      "retangent_fa_loss": 2.758813260066276,
+      "retangent_gap": 0.12138763348545867,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.019969478495559745,
+      "compressed_gap_error": 0.019969478495559745,
+      "linear_gap_error": -0.011888111861195316,
+      "retangent_gap_error": 0.014088162858725717
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100000,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7599533289420513,
+      "empirical_gap": 0.10729947062673295,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.756962953554878,
+      "fixed_gap": 0.1272689491222927,
+      "compressed_fa_loss": 2.756962953554878,
+      "compressed_gap": 0.1272689491222927,
+      "linear_bp_loss": 2.6655327993018907,
+      "linear_fa_loss": 2.767789594828327,
+      "linear_gap": 0.1022567955264364,
+      "retangent_bp_loss": 2.6424221508367225,
+      "retangent_fa_loss": 2.7607068237059,
+      "retangent_gap": 0.11828467286917732,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.019969478495559745,
+      "compressed_gap_error": 0.019969478495559745,
+      "linear_gap_error": -0.005042675100296545,
+      "retangent_gap_error": 0.01098520224244437
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100000,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7599533289420513,
+      "empirical_gap": 0.10729947062673295,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.756962953554878,
+      "fixed_gap": 0.1272689491222927,
+      "compressed_fa_loss": 2.756567605834241,
+      "compressed_gap": 0.12687360140165582,
+      "linear_bp_loss": 2.657508919232941,
+      "linear_fa_loss": 2.762195364277091,
+      "linear_gap": 0.10468644504415003,
+      "retangent_bp_loss": 2.6483962310160414,
+      "retangent_fa_loss": 2.760780684998647,
+      "retangent_gap": 0.11238445398260577,
+      "alpha_s": 0.0018719820461338469,
+      "alpha_slope": 9.359910230669234e-05,
+      "fixed_gap_error": 0.019969478495559745,
+      "compressed_gap_error": 0.01957413077492287,
+      "linear_gap_error": -0.0026130255825829174,
+      "retangent_gap_error": 0.005084983355872819
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100001,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7502928266889923,
+      "empirical_gap": 0.09763896837367403,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.76346229519116,
+      "fixed_gap": 0.13376829075857488,
+      "compressed_fa_loss": 2.74322629447676,
+      "compressed_gap": 0.11353229004417464,
+      "linear_bp_loss": 2.672316934118275,
+      "linear_fa_loss": 2.750553953641688,
+      "linear_gap": 0.07823701952341278,
+      "retangent_bp_loss": 2.6374256265808174,
+      "retangent_fa_loss": 2.7602421522092455,
+      "retangent_gap": 0.12281652562842815,
+      "alpha_s": 0.02533230570114322,
+      "alpha_slope": 0.005066461140228644,
+      "fixed_gap_error": 0.03612932238490085,
+      "compressed_gap_error": 0.015893321670500615,
+      "linear_gap_error": -0.019401948850261252,
+      "retangent_gap_error": 0.025177557254754124
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100001,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7502928266889923,
+      "empirical_gap": 0.09763896837367403,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.76346229519116,
+      "fixed_gap": 0.13376829075857488,
+      "compressed_fa_loss": 2.7447380717930168,
+      "compressed_gap": 0.1150440673604316,
+      "linear_bp_loss": 2.6655327993018907,
+      "linear_fa_loss": 2.7508745084058526,
+      "linear_gap": 0.08534170910396188,
+      "retangent_bp_loss": 2.6424221508367225,
+      "retangent_fa_loss": 2.758075319496413,
+      "retangent_gap": 0.11565316865969066,
+      "alpha_s": 0.046762430219602115,
+      "alpha_slope": 0.0046762430219602115,
+      "fixed_gap_error": 0.03612932238490085,
+      "compressed_gap_error": 0.017405098986757572,
+      "linear_gap_error": -0.012297259269712146,
+      "retangent_gap_error": 0.018014200286016635
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100001,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7502928266889923,
+      "empirical_gap": 0.09763896837367403,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.76346229519116,
+      "fixed_gap": 0.13376829075857488,
+      "compressed_fa_loss": 2.7465787033899356,
+      "compressed_gap": 0.11688469895735043,
+      "linear_bp_loss": 2.657508919232941,
+      "linear_fa_loss": 2.7503944123966697,
+      "linear_gap": 0.09288549316372885,
+      "retangent_bp_loss": 2.6483962310160414,
+      "retangent_fa_loss": 2.7544541376370413,
+      "retangent_gap": 0.1060579066209999,
+      "alpha_s": 0.08407530065978872,
+      "alpha_slope": 0.004203765032989436,
+      "fixed_gap_error": 0.03612932238490085,
+      "compressed_gap_error": 0.0192457305836764,
+      "linear_gap_error": -0.004753475209945179,
+      "retangent_gap_error": 0.008418938247325869
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100002,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7398792137077725,
+      "empirical_gap": 0.08722535539245424,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.729246166694613,
+      "fixed_gap": 0.0995521622620279,
+      "compressed_fa_loss": 2.729246166694613,
+      "compressed_gap": 0.0995521622620279,
+      "linear_bp_loss": 2.672316934118275,
+      "linear_fa_loss": 2.743931586189766,
+      "linear_gap": 0.07161465207149087,
+      "retangent_bp_loss": 2.6374256265808174,
+      "retangent_fa_loss": 2.731412448333121,
+      "retangent_gap": 0.09398682175230366,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.012326806869573659,
+      "compressed_gap_error": 0.012326806869573659,
+      "linear_gap_error": -0.01561070332096337,
+      "retangent_gap_error": 0.006761466359849422
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100002,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7398792137077725,
+      "empirical_gap": 0.08722535539245424,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.729246166694613,
+      "fixed_gap": 0.0995521622620279,
+      "compressed_fa_loss": 2.729246166694613,
+      "compressed_gap": 0.0995521622620279,
+      "linear_bp_loss": 2.6655327993018907,
+      "linear_fa_loss": 2.7428946454307854,
+      "linear_gap": 0.07736184612889474,
+      "retangent_bp_loss": 2.6424221508367225,
+      "retangent_fa_loss": 2.733450409270173,
+      "retangent_gap": 0.0910282584334503,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.012326806869573659,
+      "compressed_gap_error": 0.012326806869573659,
+      "linear_gap_error": -0.0098635092635595,
+      "retangent_gap_error": 0.003802903040996064
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100002,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.7398792137077725,
+      "empirical_gap": 0.08722535539245424,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.729246166694613,
+      "fixed_gap": 0.0995521622620279,
+      "compressed_fa_loss": 2.729246166694613,
+      "compressed_gap": 0.0995521622620279,
+      "linear_bp_loss": 2.657508919232941,
+      "linear_fa_loss": 2.7428513982238565,
+      "linear_gap": 0.08534247899091563,
+      "retangent_bp_loss": 2.6483962310160414,
+      "retangent_fa_loss": 2.7373374660270744,
+      "retangent_gap": 0.08894123501103302,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.012326806869573659,
+      "compressed_gap_error": 0.012326806869573659,
+      "linear_gap_error": -0.0018828764015386135,
+      "retangent_gap_error": 0.001715879618578775
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100003,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.736048180645907,
+      "empirical_gap": 0.08339432233058863,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.742223842018859,
+      "fixed_gap": 0.112529837586274,
+      "compressed_fa_loss": 2.7389876125749972,
+      "compressed_gap": 0.10929360814241207,
+      "linear_bp_loss": 2.672316934118275,
+      "linear_fa_loss": 2.7369660296729443,
+      "linear_gap": 0.06464909555466924,
+      "retangent_bp_loss": 2.6374256265808174,
+      "retangent_fa_loss": 2.741018498762238,
+      "retangent_gap": 0.10359287218142077,
+      "alpha_s": 0.004717728402639097,
+      "alpha_slope": 0.0009435456805278193,
+      "fixed_gap_error": 0.029135515255685362,
+      "compressed_gap_error": 0.025899285811823436,
+      "linear_gap_error": -0.018745226775919388,
+      "retangent_gap_error": 0.020198549850832137
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100003,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.736048180645907,
+      "empirical_gap": 0.08339432233058863,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.742223842018859,
+      "fixed_gap": 0.112529837586274,
+      "compressed_fa_loss": 2.7378986238396266,
+      "compressed_gap": 0.1082046194070414,
+      "linear_bp_loss": 2.6655327993018907,
+      "linear_fa_loss": 2.7387338155088523,
+      "linear_gap": 0.07320101620696162,
+      "retangent_bp_loss": 2.6424221508367225,
+      "retangent_fa_loss": 2.740702806811513,
+      "retangent_gap": 0.09828065597479041,
+      "alpha_s": 0.012636139713855224,
+      "alpha_slope": 0.0012636139713855224,
+      "fixed_gap_error": 0.029135515255685362,
+      "compressed_gap_error": 0.02481029707645277,
+      "linear_gap_error": -0.01019330612362701,
+      "retangent_gap_error": 0.014886333644201777
+    },
+    {
+      "init_seed": 10000,
+      "feedback_seed": 100003,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.6526538583153183,
+      "empirical_fa_loss": 2.736048180645907,
+      "empirical_gap": 0.08339432233058863,
+      "fixed_bp_loss": 2.629694004432585,
+      "fixed_fa_loss": 2.742223842018859,
+      "fixed_gap": 0.112529837586274,
+      "compressed_fa_loss": 2.7371805052124523,
+      "compressed_gap": 0.1074865007798671,
+      "linear_bp_loss": 2.657508919232941,
+      "linear_fa_loss": 2.7362545684716566,
+      "linear_gap": 0.07874564923871574,
+      "retangent_bp_loss": 2.6483962310160414,
+      "retangent_fa_loss": 2.738220810453821,
+      "retangent_gap": 0.08982457943777966,
+      "alpha_s": 0.029507812636247167,
+      "alpha_slope": 0.0014753906318123583,
+      "fixed_gap_error": 0.029135515255685362,
+      "compressed_gap_error": 0.024092178449278467,
+      "linear_gap_error": -0.00464867309187289,
+      "retangent_gap_error": 0.006430257107191029
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101000,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.038149366819684,
+      "empirical_gap": 0.13096769053029522,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.041025167815324,
+      "fixed_gap": 0.15510276218116203,
+      "compressed_fa_loss": 3.041025167815324,
+      "compressed_gap": 0.15510276218116203,
+      "linear_bp_loss": 2.915744837619422,
+      "linear_fa_loss": 3.0327005567173293,
+      "linear_gap": 0.11695571909790736,
+      "retangent_bp_loss": 2.8911407165434837,
+      "retangent_fa_loss": 3.0384488928434235,
+      "retangent_gap": 0.14730817629993975,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.024135071650866813,
+      "compressed_gap_error": 0.024135071650866813,
+      "linear_gap_error": -0.01401197143238786,
+      "retangent_gap_error": 0.01634048576964453
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101000,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.038149366819684,
+      "empirical_gap": 0.13096769053029522,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.041025167815324,
+      "fixed_gap": 0.15510276218116203,
+      "compressed_fa_loss": 3.041025167815324,
+      "compressed_gap": 0.15510276218116203,
+      "linear_bp_loss": 2.9174310692891217,
+      "linear_fa_loss": 3.037543584887782,
+      "linear_gap": 0.12011251559866043,
+      "retangent_bp_loss": 2.897095110967698,
+      "retangent_fa_loss": 3.0384718723598056,
+      "retangent_gap": 0.14137676139210775,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.024135071650866813,
+      "compressed_gap_error": 0.024135071650866813,
+      "linear_gap_error": -0.010855174931634792,
+      "retangent_gap_error": 0.01040907086181253
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101000,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.038149366819684,
+      "empirical_gap": 0.13096769053029522,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.041025167815324,
+      "fixed_gap": 0.15510276218116203,
+      "compressed_fa_loss": 3.041025167815324,
+      "compressed_gap": 0.15510276218116203,
+      "linear_bp_loss": 2.9112439038291478,
+      "linear_fa_loss": 3.0386221400244797,
+      "linear_gap": 0.12737823619533195,
+      "retangent_bp_loss": 2.902941121563251,
+      "retangent_fa_loss": 3.038181902700166,
+      "retangent_gap": 0.13524078113691518,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.024135071650866813,
+      "compressed_gap_error": 0.024135071650866813,
+      "linear_gap_error": -0.0035894543349632713,
+      "retangent_gap_error": 0.004273090606619956
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101001,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.0181562571281124,
+      "empirical_gap": 0.11097458083872347,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.0223555746748056,
+      "fixed_gap": 0.1364331690406435,
+      "compressed_fa_loss": 3.0091200506894507,
+      "compressed_gap": 0.12319764505528852,
+      "linear_bp_loss": 2.915744837619422,
+      "linear_fa_loss": 3.016445889838837,
+      "linear_gap": 0.10070105221941494,
+      "retangent_bp_loss": 2.8911407165434837,
+      "retangent_fa_loss": 3.0204805482777024,
+      "retangent_gap": 0.1293398317342187,
+      "alpha_s": 0.01611022705826203,
+      "alpha_slope": 0.0032220454116524055,
+      "fixed_gap_error": 0.02545858820192004,
+      "compressed_gap_error": 0.01222306421656505,
+      "linear_gap_error": -0.010273528619308525,
+      "retangent_gap_error": 0.018365250895495233
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101001,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.0181562571281124,
+      "empirical_gap": 0.11097458083872347,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.0223555746748056,
+      "fixed_gap": 0.1364331690406435,
+      "compressed_fa_loss": 3.0094118906104685,
+      "compressed_gap": 0.12348948497630641,
+      "linear_bp_loss": 2.9174310692891217,
+      "linear_fa_loss": 3.0172635853827585,
+      "linear_gap": 0.09983251609363686,
+      "retangent_bp_loss": 2.897095110967698,
+      "retangent_fa_loss": 3.0198328212036643,
+      "retangent_gap": 0.12273771023596636,
+      "alpha_s": 0.03149590363290917,
+      "alpha_slope": 0.0031495903632909167,
+      "fixed_gap_error": 0.02545858820192004,
+      "compressed_gap_error": 0.012514904137582938,
+      "linear_gap_error": -0.01114206474508661,
+      "retangent_gap_error": 0.011763129397242889
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101001,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.0181562571281124,
+      "empirical_gap": 0.11097458083872347,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.0223555746748056,
+      "fixed_gap": 0.1364331690406435,
+      "compressed_fa_loss": 3.010772177997027,
+      "compressed_gap": 0.12484977236286499,
+      "linear_bp_loss": 2.9112439038291478,
+      "linear_fa_loss": 3.018681652192283,
+      "linear_gap": 0.10743774836313502,
+      "retangent_bp_loss": 2.902941121563251,
+      "retangent_fa_loss": 3.0193692384445012,
+      "retangent_gap": 0.11642811688125043,
+      "alpha_s": 0.05625439966724597,
+      "alpha_slope": 0.0028127199833622987,
+      "fixed_gap_error": 0.02545858820192004,
+      "compressed_gap_error": 0.013875191524141517,
+      "linear_gap_error": -0.0035368324755884473,
+      "retangent_gap_error": 0.005453536042526963
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101002,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.0346327332065814,
+      "empirical_gap": 0.1274510569171925,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.034693259894646,
+      "fixed_gap": 0.14877085426048398,
+      "compressed_fa_loss": 3.034693259894646,
+      "compressed_gap": 0.14877085426048398,
+      "linear_bp_loss": 2.915744837619422,
+      "linear_fa_loss": 3.0387138005245355,
+      "linear_gap": 0.12296896290511361,
+      "retangent_bp_loss": 2.8911407165434837,
+      "retangent_fa_loss": 3.035441191602746,
+      "retangent_gap": 0.14430047505926247,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.02131979734329148,
+      "compressed_gap_error": 0.02131979734329148,
+      "linear_gap_error": -0.0044820940120788855,
+      "retangent_gap_error": 0.016849418142069972
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101002,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.0346327332065814,
+      "empirical_gap": 0.1274510569171925,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.034693259894646,
+      "fixed_gap": 0.14877085426048398,
+      "compressed_fa_loss": 3.034693259894646,
+      "compressed_gap": 0.14877085426048398,
+      "linear_bp_loss": 2.9174310692891217,
+      "linear_fa_loss": 3.0373021446753166,
+      "linear_gap": 0.1198710753861949,
+      "retangent_bp_loss": 2.897095110967698,
+      "retangent_fa_loss": 3.035615752211822,
+      "retangent_gap": 0.13852064124412422,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.02131979734329148,
+      "compressed_gap_error": 0.02131979734329148,
+      "linear_gap_error": -0.007579981530997593,
+      "retangent_gap_error": 0.011069584326931725
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101002,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.0346327332065814,
+      "empirical_gap": 0.1274510569171925,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.034693259894646,
+      "fixed_gap": 0.14877085426048398,
+      "compressed_fa_loss": 3.034693259894646,
+      "compressed_gap": 0.14877085426048398,
+      "linear_bp_loss": 2.9112439038291478,
+      "linear_fa_loss": 3.035261390729715,
+      "linear_gap": 0.12401748690056724,
+      "retangent_bp_loss": 2.902941121563251,
+      "retangent_fa_loss": 3.0353780767934286,
+      "retangent_gap": 0.13243695523017784,
+      "alpha_s": 0.0,
+      "alpha_slope": 0.0,
+      "fixed_gap_error": 0.02131979734329148,
+      "compressed_gap_error": 0.02131979734329148,
+      "linear_gap_error": -0.0034335700166252536,
+      "retangent_gap_error": 0.0049858983129853485
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101003,
+      "target_steps": 50,
+      "early_steps": 5,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.011225185254111,
+      "empirical_gap": 0.10404350896472225,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.011970058076194,
+      "fixed_gap": 0.12604765244203175,
+      "compressed_fa_loss": 3.0115603248979985,
+      "compressed_gap": 0.12563791926383638,
+      "linear_bp_loss": 2.915744837619422,
+      "linear_fa_loss": 3.013664279012858,
+      "linear_gap": 0.09791944139343611,
+      "retangent_bp_loss": 2.8911407165434837,
+      "retangent_fa_loss": 3.012013909343353,
+      "retangent_gap": 0.12087319279986941,
+      "alpha_s": 0.00048492844327480887,
+      "alpha_slope": 9.698568865496177e-05,
+      "fixed_gap_error": 0.0220041434773095,
+      "compressed_gap_error": 0.02159441029911413,
+      "linear_gap_error": -0.00612406757128614,
+      "retangent_gap_error": 0.016829683835147158
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101003,
+      "target_steps": 50,
+      "early_steps": 10,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.011225185254111,
+      "empirical_gap": 0.10404350896472225,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.011970058076194,
+      "fixed_gap": 0.12604765244203175,
+      "compressed_fa_loss": 3.010641733163847,
+      "compressed_gap": 0.12471932752968495,
+      "linear_bp_loss": 2.9174310692891217,
+      "linear_fa_loss": 3.0125943468354524,
+      "linear_gap": 0.0951632775463307,
+      "retangent_bp_loss": 2.897095110967698,
+      "retangent_fa_loss": 3.0120802939395737,
+      "retangent_gap": 0.11498518297187577,
+      "alpha_s": 0.0031497050815617153,
+      "alpha_slope": 0.0003149705081561715,
+      "fixed_gap_error": 0.0220041434773095,
+      "compressed_gap_error": 0.0206758185649627,
+      "linear_gap_error": -0.00888023141839156,
+      "retangent_gap_error": 0.010941674007153512
+    },
+    {
+      "init_seed": 10001,
+      "feedback_seed": 101003,
+      "target_steps": 50,
+      "early_steps": 20,
+      "empirical_bp_loss": 2.907181676289389,
+      "empirical_fa_loss": 3.011225185254111,
+      "empirical_gap": 0.10404350896472225,
+      "fixed_bp_loss": 2.885922405634162,
+      "fixed_fa_loss": 3.011970058076194,
+      "fixed_gap": 0.12604765244203175,
+      "compressed_fa_loss": 3.010068994638586,
+      "compressed_gap": 0.12414658900442399,
+      "linear_bp_loss": 2.9112439038291478,
+      "linear_fa_loss": 3.0111468955556275,
+      "linear_gap": 0.09990299172647976,
+      "retangent_bp_loss": 2.902941121563251,
+      "retangent_fa_loss": 3.011566279823419,
+      "retangent_gap": 0.10862515826016805,
+      "alpha_s": 0.009025381376123135,
+      "alpha_slope": 0.00045126906880615675,
+      "fixed_gap_error": 0.0220041434773095,
+      "compressed_gap_error": 0.020103080039701737,
+      "linear_gap_error": -0.0041405172382424915,
+      "retangent_gap_error": 0.0045816492954458
+    }
+  ]
+}