inkling-jlens / cka /summary.json
eliebak's picture
eliebak HF Staff
add cka/summary.json
67a1499 verified
Raw
History Blame Contribute Delete
97.5 kB
Invalid JSON:Unexpected token 'N', ..."pearson": NaN, "... is not valid JSON
{
"probe_meta": {
"inkling_repo": "thinkingmachines/Inkling-NVFP4",
"snapshot": "/home/elie/anthropic-research-jspace/hf_cache/hub/models--thinkingmachines--Inkling-NVFP4/snapshots/1fa46988f638221367b5fdeee4e86d5c9882ae23",
"inkling_unembed_key": "model.llm.unembed.weight",
"inkling_norm_key": "model.llm.norm.weight",
"inkling_gain_rule": "plain gamma (raw RMSNorm weight, NOT 1+gamma)",
"mup_scalar_folded": 24.0,
"probe_formula": "P = W_U[ids] * gamma / 24.0",
"vocab_rows": 201024,
"unpadded_vocab_size": 200058,
"ids_rule": "sample_probe_ids(vocab_rows=201024, n=4096, seed=0), frozen",
"n_padding_row_ids": 22,
"padding_row_ids": [
200110,
200150,
200195,
200213,
200234,
200269,
200319,
200368,
200380,
200427,
200466,
200501,
200676,
200677,
200682,
200684,
200715,
200721,
200776,
200910,
200918,
200985
],
"padding_row_norm_range": [
0.0,
0.0
],
"padding_rows_kept": true,
"ids_std_path": "/home/elie/anthropic-research-jspace/runs/E7_inkling/results/token_ids_vocab201024_seed0.npz",
"shared_ids_kimi_path": "/home/elie/anthropic-research-jspace/runs/E7_inkling/results/shared_ids_Inkling-NVFP4__Kimi-K2.5_seed0.npz",
"n_shared_kimi": 4096,
"shared_ids_olmo_path": "/home/elie/anthropic-research-jspace/runs/E7_inkling/results/shared_ids_Inkling-NVFP4__Olmo-3-1125-32B_seed0.npz",
"n_shared_olmo": 4096,
"kimi_vocab_rows": 163840,
"olmo_vocab_rows": 100278,
"note": "Inkling probe tensors read from the local NVFP4 snapshot (unembed/norm are quantization-excluded bf16); Kimi/OLMo probe tensors HTTP byte-range fetched (~3.4 GB), models never downloaded"
},
"geometry_inkling": {
"model": "thinkingmachines/Inkling-NVFP4",
"lens_path": "/home/elie/anthropic-research-jspace/runs/E7_inkling/fits/Inkling-NVFP4_jacobian_lens.pt",
"n_prompts": 250,
"d_model": 6144,
"L_fitted": 65,
"n_layers_conv": 66,
"source_layers": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64
],
"rho": [
0.0,
0.015384615384615385,
0.03076923076923077,
0.046153846153846156,
0.06153846153846154,
0.07692307692307693,
0.09230769230769231,
0.1076923076923077,
0.12307692307692308,
0.13846153846153847,
0.15384615384615385,
0.16923076923076924,
0.18461538461538463,
0.2,
0.2153846153846154,
0.23076923076923078,
0.24615384615384617,
0.26153846153846155,
0.27692307692307694,
0.2923076923076923,
0.3076923076923077,
0.3230769230769231,
0.3384615384615385,
0.35384615384615387,
0.36923076923076925,
0.38461538461538464,
0.4,
0.4153846153846154,
0.4307692307692308,
0.4461538461538462,
0.46153846153846156,
0.47692307692307695,
0.49230769230769234,
0.5076923076923077,
0.5230769230769231,
0.5384615384615384,
0.5538461538461539,
0.5692307692307692,
0.5846153846153846,
0.6,
0.6153846153846154,
0.6307692307692307,
0.6461538461538462,
0.6615384615384615,
0.676923076923077,
0.6923076923076923,
0.7076923076923077,
0.7230769230769231,
0.7384615384615385,
0.7538461538461538,
0.7692307692307693,
0.7846153846153846,
0.8,
0.8153846153846154,
0.8307692307692308,
0.8461538461538461,
0.8615384615384616,
0.8769230769230769,
0.8923076923076924,
0.9076923076923077,
0.9230769230769231,
0.9384615384615385,
0.9538461538461539,
0.9692307692307692,
0.9846153846153847
],
"n_blocks": 2,
"boundaries_rho": [
0.49230769230769234
],
"boundaries_layer": [
32
],
"sensory_end": 0.49230769230769234,
"motor_start": 0.49230769230769234,
"blockiness": 0.10607995588343311,
"mean_within": 0.9159465948749901,
"mean_between": 0.809866638991557,
"layer_coupling": 0.8620906172726316,
"selection_curve": {
"1": {
"blockiness": 0.0,
"penalized": 0.0
},
"2": {
"blockiness": 0.10607995588343311,
"penalized": 0.0860799558834331
},
"3": {
"blockiness": 0.11253936563232236,
"penalized": 0.07253936563232236
},
"4": {
"blockiness": 0.13489228919500784,
"penalized": 0.07489228919500784
},
"5": {
"blockiness": 0.14425370665575687,
"penalized": 0.06425370665575687
},
"6": {
"blockiness": 0.14544304984048195,
"penalized": 0.04544304984048195
},
"7": {
"blockiness": 0.14212646022455788,
"penalized": 0.022126460224557887
},
"8": {
"blockiness": 0.14093611354312363,
"penalized": 0.0009361135431236178
},
"9": {
"blockiness": 0.14384285271578623,
"penalized": -0.016157147284213774
},
"10": {
"blockiness": 0.1446295178117284,
"penalized": -0.0353704821882716
}
},
"kts_forced_k1_to_k4": {
"1": {
"segments_layer_ranges": [
[
0,
64
]
],
"boundaries_rho": [],
"boundaries_layer": [],
"blockiness": 0.0,
"penalized": 0.0
},
"2": {
"segments_layer_ranges": [
[
0,
31
],
[
32,
64
]
],
"boundaries_rho": [
0.49230769230769234
],
"boundaries_layer": [
32
],
"blockiness": 0.10607995588343311,
"penalized": 0.0860799558834331
},
"3": {
"segments_layer_ranges": [
[
0,
30
],
[
31,
54
],
[
55,
64
]
],
"boundaries_rho": [
0.47692307692307695,
0.8461538461538461
],
"boundaries_layer": [
31,
55
],
"blockiness": 0.11253936563232236,
"penalized": 0.07253936563232236
},
"4": {
"segments_layer_ranges": [
[
0,
20
],
[
21,
27
],
[
28,
54
],
[
55,
64
]
],
"boundaries_rho": [
0.3230769230769231,
0.4307692307692308,
0.8461538461538461
],
"boundaries_layer": [
21,
28,
55
],
"blockiness": 0.13489228919500784,
"penalized": 0.07489228919500784
}
},
"band_rule": "middle-50% depth fallback (k<3)",
"band_n_layers": 32,
"band_mask": [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
],
"pr_per_layer": [
6.801202312608661,
6.397297931051919,
5.735866700269109,
5.868755047139588,
5.808968477624171,
5.601389856786131,
5.453025680221241,
5.471934098368448,
5.542104942645781,
5.428362386769297,
5.412119561334122,
5.387714223482191,
5.309038463178083,
5.311980451096675,
5.247581414312236,
5.1946971450901644,
5.129581026856875,
5.20003954483807,
5.25309940697037,
5.2251875838116595,
5.184386410571782,
5.189878482331566,
5.203484561544435,
5.048282847238629,
4.838229737101447,
4.62896069155546,
4.41812531725871,
4.08594604318156,
3.7784521609473023,
3.8940376689125356,
5.544971473123729,
6.969570570302318,
8.890094307764802,
9.31985644255682,
10.55102681994156,
12.064485354580322,
13.796130583523707,
15.720001607623459,
17.945091536399904,
19.91338618885928,
22.46961620448899,
25.885406219729006,
28.939519177725547,
32.61448528854392,
35.494549794510355,
38.9471340009294,
52.62283712673839,
61.01605360754737,
67.59463711234939,
74.468155212506,
84.00717263878657,
97.8649670861786,
104.63709404800683,
108.4814774137555,
121.4953345723473,
139.12720565767106,
141.08631841940723,
158.60710078770705,
146.1147371165181,
138.7529851607131,
131.01476159523003,
156.46533988016802,
223.9084877789258,
337.48777253692975,
412.6170176059094
],
"v_frob_per_layer": [
40076.66015625,
34793.1484375,
17027.775390625,
12520.0244140625,
12293.8388671875,
10996.181640625,
9675.142578125,
9252.7431640625,
8716.78125,
8286.9580078125,
8084.14892578125,
7788.8193359375,
7415.21923828125,
7127.18359375,
6955.42626953125,
6753.59033203125,
6587.33984375,
6281.65625,
5987.791015625,
5775.26318359375,
5556.05810546875,
5315.0029296875,
4994.1796875,
4636.8125,
4447.44189453125,
4204.8203125,
4067.7109375,
3909.58251953125,
1208.0040283203125,
1024.0855712890625,
681.9224243164062,
562.5794677734375,
392.9284362792969,
355.11224365234375,
323.6031494140625,
293.9114990234375,
281.4402770996094,
268.68292236328125,
255.41835021972656,
246.20657348632812,
231.68605041503906,
224.5980987548828,
218.4875946044922,
217.8112030029297,
216.7769775390625,
214.37677001953125,
205.972412109375,
203.7895050048828,
202.29287719726562,
201.96810913085938,
203.1492156982422,
200.9926300048828,
201.5357208251953,
200.30491638183594,
200.45846557617188,
201.3866729736328,
202.45941162109375,
200.9545440673828,
198.58323669433594,
190.91485595703125,
184.98817443847656,
179.51132202148438,
170.93411254882812,
161.37405395507812,
153.3319091796875
],
"j_frob_over_sqrt_d_per_layer": [
169.12728229765082,
145.8192053089544,
71.81201800576076,
53.20461459322783,
52.241874100693124,
46.496624738540596,
40.790611091986925,
39.08968348598392,
36.99422467227465,
35.14043444420603,
34.246727880426825,
32.960140893196915,
31.331287150729484,
30.048450246978263,
29.288753103191187,
28.433375881013916,
27.741454332323375,
26.56965914460096,
25.428649525901253,
24.586277680439313,
23.71254872083976,
22.80407386734777,
21.6486557053155,
20.314965302430956,
19.60103848814496,
18.679756040579583,
18.177712057526694,
17.525093190211418,
4.927801633598306,
4.228548111063224,
3.0086335356307647,
2.5344346621453564,
1.8487818109309748,
1.6992992085622178,
1.5697613114887732,
1.4606292880952452,
1.414954832561831,
1.365673471830387,
1.3132109447177671,
1.2793200324822225,
1.2362860530858992,
1.2186072827829,
1.1937922772637743,
1.1965422541253645,
1.1951693583750822,
1.1853144878380668,
1.158624245911643,
1.1572941771113872,
1.158697635730552,
1.1627878041260409,
1.1738827095342792,
1.1725153618207047,
1.1782828866475736,
1.175844962517313,
1.1823053105948387,
1.1904597565478459,
1.1978861443504019,
1.197433444021826,
1.1840743556328666,
1.1508004434796362,
1.1243784539947421,
1.104272174297057,
1.074504037339408,
1.0455773526158028,
1.0229251080730173
],
"identity_distance_per_layer": [
169.1193834507223,
145.811069745793,
71.80069923220466,
53.1908414460993,
52.227917187015386,
46.481347197458405,
40.7737512897692,
39.07233779255136,
36.97608161889977,
35.12172140305989,
34.227728288051416,
32.940851634904966,
31.31162724465185,
30.02851624842046,
29.268641567458726,
28.412903041557595,
27.720713629761434,
26.548488615195115,
25.4070990046479,
24.56442970655123,
23.69053566852612,
22.781877048484926,
21.626013486172383,
20.292386934376964,
19.578559790083762,
18.65696431644728,
18.15517106572,
17.501882540640672,
4.854983359804097,
4.140428157360443,
2.8883470384348704,
2.3858782899049005,
1.6539750580132255,
1.4856080093642448,
1.333843509230892,
1.203327211017296,
1.1344274084825596,
1.0637319887339833,
0.9880137464191132,
0.9346554547130974,
0.8697148090403597,
0.8307280737555214,
0.790335543836062,
0.769146228972592,
0.7487181631458437,
0.724566440015254,
0.6697002989993835,
0.6517860291382269,
0.6342525784633858,
0.6207991734503908,
0.608954407080779,
0.5884995744102641,
0.577520253100109,
0.5621570094508739,
0.5490611121366232,
0.5333125719381152,
0.522789600980686,
0.5007353277276461,
0.4752566018170865,
0.4282991384614572,
0.39078465258426404,
0.361109980578349,
0.3106443573446937,
0.24910407417008554,
0.2023623515752149
],
"cka_to_final_source": [
0.6581668830331233,
0.647718677118037,
0.6233515954994835,
0.6390811855882612,
0.6369566356375852,
0.6347424367163222,
0.6325836317061541,
0.6329071739250732,
0.6353759677740293,
0.63381171490575,
0.6339653697158772,
0.6335375695918883,
0.6321071668787113,
0.6330705927065826,
0.6313559058099916,
0.6300190647376394,
0.6275098260781355,
0.6269652617299895,
0.624919008243621,
0.6214502116407821,
0.61752776353799,
0.6122831792661784,
0.5999909093232197,
0.5741320315955407,
0.5571786412949393,
0.5399772059794444,
0.5233107831693695,
0.5046168306954055,
0.5667459145830307,
0.5720247076869116,
0.6156467220986271,
0.6413727276415718,
0.6313233595012319,
0.6299308992462759,
0.638635807716039,
0.644537174555846,
0.6564506373423065,
0.670648686079388,
0.681943062917076,
0.6857140768314589,
0.6655601453124634,
0.6667449383343407,
0.6770101166893867,
0.6910754256473497,
0.6975439308597223,
0.7131891473116265,
0.7364124737046029,
0.7473190446277174,
0.7553721427150121,
0.7659060671377127,
0.7862152397860583,
0.7975654342436436,
0.8049845065388891,
0.8082608604723314,
0.8155510099036006,
0.8438328541361677,
0.8542845378072305,
0.8663249298230373,
0.866531996032823,
0.8634945507637859,
0.8577817420485921,
0.9084205829053282,
0.9601059683712863,
0.9811338045228475,
1.0
],
"per_block_capacity": [
{
"layers": [
0,
31
],
"rho": [
0.0,
0.47692307692307695
],
"peak_pr": 6.969570570302318,
"peak_pr_over_d": 0.001134370210010143,
"peak_rho": 0.47692307692307695
},
{
"layers": [
32,
64
],
"rho": [
0.49230769230769234,
0.9846153846153847
],
"peak_pr": 412.6170176059094,
"peak_pr_over_d": 0.06715771770929514,
"peak_rho": 0.9846153846153847
}
],
"peak_pr_band": 67.59463711234939,
"peak_rho_band": 0.7384615384615385,
"peak_pr_global": 412.6170176059094,
"peak_rho_global": 0.9846153846153847,
"peak_pr_band_over_d": 0.011001731300838117,
"peak_pr_global_over_d": 0.06715771770929514,
"dense_pr_over_d_range": [
0.07,
0.2
],
"kimi_band_pr_over_d": 0.0772,
"cka_npz": "/home/elie/anthropic-research-jspace/runs/E7_inkling/results/cka_inkling.npz",
"heatmap": "/home/elie/anthropic-research-jspace/runs/E7_inkling/results/cka_heatmap_inkling.png"
},
"cross_inkling": {
"comparison_a": "Inkling (ours, n=250, 65 src) x Kimi-K2.5 (ours, n=100, 16 src), shared-string ids seed 0",
"comparison_b": "Inkling x OLMo-3-1125-32B final (ours, n=250, 63 src), shared-string ids seed 0",
"inkling_x_kimi": {
"matched_rho": [
0.0,
0.016666666666666666,
0.03333333333333333,
0.05,
0.06666666666666667,
0.08333333333333333,
0.11666666666666667,
0.15,
0.18333333333333332,
0.23333333333333334,
0.3,
0.38333333333333336,
0.48333333333333334,
0.6166666666666667,
0.7833333333333333,
0.9833333333333333
],
"matched_cka": [
0.1001359674616321,
0.10488116113708335,
0.10801784807145091,
0.11492875765769507,
0.1286986576648725,
0.15296139428513303,
0.1716364194720562,
0.21881399359644496,
0.24946116087108808,
0.31363578830661654,
0.35318468720431184,
0.3081762861578387,
0.5202652590239631,
0.5278881960771242,
0.5932834809637072,
0.7450694938886101
],
"matched_depth_mean_cka": 0.2944399094899768,
"matched_depth_mean_cka_interior_rho_0.1_0.9": 0.3618161412970167,
"matched_depth_max": 0.7450694938886101,
"matched_rho_at_max": 0.9833333333333333,
"depth_profile_correlation_pearson": NaN,
"depth_profile_correlation_spearman": 1.0
},
"inkling_x_olmo": {
"matched_rho": [
0.0,
0.015873015873015872,
0.031746031746031744,
0.047619047619047616,
0.06349206349206349,
0.07936507936507936,
0.09523809523809523,
0.1111111111111111,
0.12698412698412698,
0.14285714285714285,
0.15873015873015872,
0.1746031746031746,
0.19047619047619047,
0.20634920634920634,
0.2222222222222222,
0.23809523809523808,
0.25396825396825395,
0.2698412698412698,
0.2857142857142857,
0.30158730158730157,
0.31746031746031744,
0.3333333333333333,
0.3492063492063492,
0.36507936507936506,
0.38095238095238093,
0.3968253968253968,
0.4126984126984127,
0.42857142857142855,
0.4444444444444444,
0.4603174603174603,
0.47619047619047616,
0.49206349206349204,
0.5079365079365079,
0.5238095238095238,
0.5396825396825397,
0.5555555555555556,
0.5714285714285714,
0.5873015873015873,
0.6031746031746031,
0.6190476190476191,
0.6349206349206349,
0.6507936507936508,
0.6666666666666666,
0.6825396825396826,
0.6984126984126984,
0.7142857142857143,
0.7301587301587301,
0.746031746031746,
0.7619047619047619,
0.7777777777777778,
0.7936507936507936,
0.8095238095238095,
0.8253968253968254,
0.8412698412698413,
0.8571428571428571,
0.873015873015873,
0.8888888888888888,
0.9047619047619048,
0.9206349206349206,
0.9365079365079365,
0.9523809523809523,
0.9682539682539683,
0.9841269841269841
],
"matched_cka": [
0.43143964151425274,
0.46127719805370787,
0.499811792892081,
0.5472308740851308,
0.5561858162139368,
0.5533578198621477,
0.5422182508100085,
0.5495905972785735,
0.5454867294876515,
0.5409573890594614,
0.5417041058246644,
0.5393040421994971,
0.5310782058863913,
0.5258778845170506,
0.5245254877387784,
0.5259271060713662,
0.532771242013456,
0.540191097460432,
0.5402681140304358,
0.5451879617451172,
0.546636265172038,
0.5311633915869433,
0.5061774766641849,
0.4990215743040657,
0.48213257608660315,
0.4730258266401803,
0.45386577037896375,
0.5929024354751706,
0.6091068059790986,
0.6697201088937581,
0.6562445405684534,
0.6955871628541991,
0.6981460816443944,
0.6944194897893721,
0.6906834371391278,
0.6893942663017398,
0.6844974875716194,
0.6792920639768741,
0.6777217304293922,
0.659430880392049,
0.6590069061386451,
0.6238240331462764,
0.6191468265716981,
0.6115096943458265,
0.606441783405274,
0.6186585843472544,
0.6198151887725796,
0.6302754405262609,
0.6392630947012777,
0.645213977656042,
0.6439300092870487,
0.6371073422826556,
0.6559702620083366,
0.6579527710440711,
0.6579057454105259,
0.6787201179053289,
0.6666767914918287,
0.668917087903797,
0.6639096060696994,
0.6405759677805083,
0.620290461993523,
0.6100123631460973,
0.5496902412303188
],
"matched_depth_mean_cka": 0.5934662702501149,
"matched_depth_mean_cka_interior_rho_0.1_0.9": 0.6008691580840406,
"matched_depth_max": 0.6981460816443944,
"matched_rho_at_max": 0.5079365079365079,
"depth_profile_correlation_pearson": 0.5499929217176835,
"depth_profile_correlation_spearman": 0.6444055944055944
},
"pairs_ink_x_kimi": [
[
0,
0
],
[
1,
1
],
[
2,
2
],
[
3,
3
],
[
4,
4
],
[
5,
5
],
[
8,
7
],
[
10,
9
],
[
12,
11
],
[
15,
14
],
[
19,
18
],
[
25,
23
],
[
31,
29
],
[
40,
37
],
[
51,
47
],
[
64,
59
]
],
"pairs_ink_x_olmo": [
[
0,
0
],
[
1,
1
],
[
2,
2
],
[
3,
3
],
[
4,
4
],
[
5,
5
],
[
6,
6
],
[
7,
7
],
[
8,
8
],
[
9,
9
],
[
10,
10
],
[
11,
11
],
[
12,
12
],
[
13,
13
],
[
14,
14
],
[
15,
15
],
[
17,
16
],
[
18,
17
],
[
19,
18
],
[
20,
19
],
[
21,
20
],
[
22,
21
],
[
23,
22
],
[
24,
23
],
[
25,
24
],
[
26,
25
],
[
27,
26
],
[
28,
27
],
[
29,
28
],
[
30,
29
],
[
31,
30
],
[
32,
31
],
[
33,
32
],
[
34,
33
],
[
35,
34
],
[
36,
35
],
[
37,
36
],
[
38,
37
],
[
39,
38
],
[
40,
39
],
[
41,
40
],
[
42,
41
],
[
43,
42
],
[
44,
43
],
[
45,
44
],
[
46,
45
],
[
47,
46
],
[
48,
47
],
[
50,
48
],
[
51,
49
],
[
52,
50
],
[
53,
51
],
[
54,
52
],
[
55,
53
],
[
56,
54
],
[
57,
55
],
[
58,
56
],
[
59,
57
],
[
60,
58
],
[
61,
59
],
[
62,
60
],
[
63,
61
],
[
64,
62
]
],
"benchmarks": {
"kimi_x_olmo_E6_matched_mean": 0.366,
"kimi_x_olmo_E6_max": 0.738,
"v4_x_olmo_E6_matched_mean": 0.509,
"olmo32b_x_qwen3-32b_sharedids": 0.654,
"llama3.1-8b_x_olmo32b": 0.687,
"paper_llama_x_olmo": 0.76
}
},
"crossx_inkling": {
"pairs": {
"kimi": {
"matched_rho": [
0.0,
0.016666666666666666,
0.03333333333333333,
0.05,
0.06666666666666667,
0.08333333333333333,
0.11666666666666667,
0.15,
0.18333333333333332,
0.23333333333333334,
0.3,
0.38333333333333336,
0.48333333333333334,
0.6166666666666667,
0.7833333333333333,
0.9833333333333333
],
"matched_cka": [
0.1001359674616321,
0.10488116113708335,
0.10801784807145091,
0.11492875765769507,
0.1286986576648725,
0.15296139428513303,
0.1716364194720562,
0.21881399359644496,
0.24946116087108808,
0.31363578830661654,
0.35318468720431184,
0.3081762861578387,
0.5202652590239631,
0.5278881960771242,
0.5932834809637072,
0.7450694938886101
],
"matched_depth_mean_cka": 0.2944399094899768,
"matched_depth_mean_cka_interior_rho_0.1_0.9": 0.3618161412970167,
"matched_depth_max": 0.7450694938886101,
"matched_rho_at_max": 0.9833333333333333,
"depth_profile_correlation_pearson": NaN,
"depth_profile_correlation_spearman": 1.0,
"best_match_col_per_ink_layer": [
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15
],
"best_match_rho_other": [
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333,
0.9833333333333333
],
"n_distinct_best_matches": 1,
"modal_best_match_fraction": 1.0
},
"olmo": {
"matched_rho": [
0.0,
0.015873015873015872,
0.031746031746031744,
0.047619047619047616,
0.06349206349206349,
0.07936507936507936,
0.09523809523809523,
0.1111111111111111,
0.12698412698412698,
0.14285714285714285,
0.15873015873015872,
0.1746031746031746,
0.19047619047619047,
0.20634920634920634,
0.2222222222222222,
0.23809523809523808,
0.25396825396825395,
0.2698412698412698,
0.2857142857142857,
0.30158730158730157,
0.31746031746031744,
0.3333333333333333,
0.3492063492063492,
0.36507936507936506,
0.38095238095238093,
0.3968253968253968,
0.4126984126984127,
0.42857142857142855,
0.4444444444444444,
0.4603174603174603,
0.47619047619047616,
0.49206349206349204,
0.5079365079365079,
0.5238095238095238,
0.5396825396825397,
0.5555555555555556,
0.5714285714285714,
0.5873015873015873,
0.6031746031746031,
0.6190476190476191,
0.6349206349206349,
0.6507936507936508,
0.6666666666666666,
0.6825396825396826,
0.6984126984126984,
0.7142857142857143,
0.7301587301587301,
0.746031746031746,
0.7619047619047619,
0.7777777777777778,
0.7936507936507936,
0.8095238095238095,
0.8253968253968254,
0.8412698412698413,
0.8571428571428571,
0.873015873015873,
0.8888888888888888,
0.9047619047619048,
0.9206349206349206,
0.9365079365079365,
0.9523809523809523,
0.9682539682539683,
0.9841269841269841
],
"matched_cka": [
0.43143964151425274,
0.46127719805370787,
0.499811792892081,
0.5472308740851308,
0.5561858162139368,
0.5533578198621477,
0.5422182508100085,
0.5495905972785735,
0.5454867294876515,
0.5409573890594614,
0.5417041058246644,
0.5393040421994971,
0.5310782058863913,
0.5258778845170506,
0.5245254877387784,
0.5259271060713662,
0.532771242013456,
0.540191097460432,
0.5402681140304358,
0.5451879617451172,
0.546636265172038,
0.5311633915869433,
0.5061774766641849,
0.4990215743040657,
0.48213257608660315,
0.4730258266401803,
0.45386577037896375,
0.5929024354751706,
0.6091068059790986,
0.6697201088937581,
0.6562445405684534,
0.6955871628541991,
0.6981460816443944,
0.6944194897893721,
0.6906834371391278,
0.6893942663017398,
0.6844974875716194,
0.6792920639768741,
0.6777217304293922,
0.659430880392049,
0.6590069061386451,
0.6238240331462764,
0.6191468265716981,
0.6115096943458265,
0.606441783405274,
0.6186585843472544,
0.6198151887725796,
0.6302754405262609,
0.6392630947012777,
0.645213977656042,
0.6439300092870487,
0.6371073422826556,
0.6559702620083366,
0.6579527710440711,
0.6579057454105259,
0.6787201179053289,
0.6666767914918287,
0.668917087903797,
0.6639096060696994,
0.6405759677805083,
0.620290461993523,
0.6100123631460973,
0.5496902412303188
],
"matched_depth_mean_cka": 0.5934662702501149,
"matched_depth_mean_cka_interior_rho_0.1_0.9": 0.6008691580840406,
"matched_depth_max": 0.6981460816443944,
"matched_rho_at_max": 0.5079365079365079,
"depth_profile_correlation_pearson": 0.5499929217176835,
"depth_profile_correlation_spearman": 0.6444055944055944,
"best_match_col_per_ink_layer": [
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
26,
26,
27,
25,
25,
24,
24,
24,
23,
23,
23,
24,
24,
25,
25,
24,
24,
24,
25,
25,
25,
26,
26,
26,
26,
27,
27,
27,
27,
27,
28,
29,
29,
39,
38,
31,
40,
40,
55,
55
],
"best_match_rho_other": [
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.4126984126984127,
0.4126984126984127,
0.42857142857142855,
0.3968253968253968,
0.3968253968253968,
0.38095238095238093,
0.38095238095238093,
0.38095238095238093,
0.36507936507936506,
0.36507936507936506,
0.36507936507936506,
0.38095238095238093,
0.38095238095238093,
0.3968253968253968,
0.3968253968253968,
0.38095238095238093,
0.38095238095238093,
0.38095238095238093,
0.3968253968253968,
0.3968253968253968,
0.3968253968253968,
0.4126984126984127,
0.4126984126984127,
0.4126984126984127,
0.4126984126984127,
0.42857142857142855,
0.42857142857142855,
0.42857142857142855,
0.42857142857142855,
0.42857142857142855,
0.4444444444444444,
0.4603174603174603,
0.4603174603174603,
0.6190476190476191,
0.6031746031746031,
0.49206349206349204,
0.6349206349206349,
0.6349206349206349,
0.873015873015873,
0.873015873015873
],
"n_distinct_best_matches": 12,
"modal_best_match_fraction": 0.49230769230769234
},
"v4": {
"matched_rho": [
0.0,
0.023255813953488372,
0.046511627906976744,
0.06976744186046512,
0.09302325581395349,
0.11627906976744186,
0.13953488372093023,
0.18604651162790697,
0.23255813953488372,
0.27906976744186046,
0.3488372093023256,
0.4186046511627907,
0.5348837209302325,
0.6511627906976745,
0.7906976744186046,
0.9767441860465116
],
"matched_cka": [
0.4016770920770394,
0.4443970362031268,
0.4703588004455537,
0.512912602651036,
0.5490616484994678,
0.5897126546815911,
0.6110233586485736,
0.6210805242379109,
0.6167330205692678,
0.61475060767348,
0.529651993887374,
0.45594583658276255,
0.718280093591784,
0.685008256132274,
0.47886073526712647,
0.5975896833411581
],
"matched_depth_mean_cka": 0.5560652465305954,
"matched_depth_mean_cka_interior_rho_0.1_0.9": 0.5921047081272144,
"matched_depth_max": 0.718280093591784,
"matched_rho_at_max": 0.5348837209302325,
"depth_profile_correlation_pearson": 0.6249999999999999,
"depth_profile_correlation_spearman": 1.0,
"best_match_col_per_ink_layer": [
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
11,
13,
13,
13,
13,
13,
13,
13,
13,
13,
13
],
"best_match_rho_other": [
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.4186046511627907,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745,
0.6511627906976745
],
"n_distinct_best_matches": 2,
"modal_best_match_fraction": 0.8461538461538461
},
"gemma27b": {
"matched_rho": [
0.0,
0.01639344262295082,
0.03278688524590164,
0.04918032786885246,
0.06557377049180328,
0.08196721311475409,
0.09836065573770492,
0.11475409836065574,
0.13114754098360656,
0.14754098360655737,
0.16393442622950818,
0.18032786885245902,
0.19672131147540983,
0.21311475409836064,
0.22950819672131148,
0.2459016393442623,
0.26229508196721313,
0.2786885245901639,
0.29508196721311475,
0.3114754098360656,
0.32786885245901637,
0.3442622950819672,
0.36065573770491804,
0.3770491803278688,
0.39344262295081966,
0.4098360655737705,
0.4262295081967213,
0.4426229508196721,
0.45901639344262296,
0.47540983606557374,
0.4918032786885246,
0.5081967213114754,
0.5245901639344263,
0.5409836065573771,
0.5573770491803278,
0.5737704918032787,
0.5901639344262295,
0.6065573770491803,
0.6229508196721312,
0.639344262295082,
0.6557377049180327,
0.6721311475409836,
0.6885245901639344,
0.7049180327868853,
0.7213114754098361,
0.7377049180327869,
0.7540983606557377,
0.7704918032786885,
0.7868852459016393,
0.8032786885245902,
0.819672131147541,
0.8360655737704918,
0.8524590163934426,
0.8688524590163934,
0.8852459016393442,
0.9016393442622951,
0.9180327868852459,
0.9344262295081968,
0.9508196721311475,
0.9672131147540983,
0.9836065573770492
],
"matched_cka": [
0.5810812782698124,
0.6022919655954503,
0.6082976788232678,
0.6133244999016202,
0.6077146938288654,
0.5970940957675358,
0.5851376162290184,
0.5834020292612725,
0.5627058555274695,
0.5613139505791875,
0.5633260466730962,
0.6028050952019705,
0.6002832560102155,
0.6140465844436471,
0.6070550534170386,
0.6018637147240387,
0.5997163936762901,
0.6058504704799734,
0.5979101774818741,
0.5920801735281607,
0.5788151198410064,
0.561087303290127,
0.5239301528738213,
0.4937963006503324,
0.48399190706821693,
0.45962948883408455,
0.6149232279489544,
0.6197703078935574,
0.694939839980082,
0.7064630897280798,
0.7195442888417912,
0.7030987768123393,
0.6978313719096915,
0.6928312855207982,
0.6871190111512476,
0.6794115776126004,
0.6635328904103684,
0.661255040842686,
0.6555373598999847,
0.6634880151741797,
0.6680295735749059,
0.6308403241772261,
0.6337386506194044,
0.6435994541080136,
0.6488703214883319,
0.6484996370035748,
0.6474510870995733,
0.6528534336848438,
0.6533238452693144,
0.653102405347666,
0.6475702915256404,
0.6365239665181889,
0.6404644803261288,
0.6790522471446793,
0.6646061697141523,
0.65641507823533,
0.6276604028646433,
0.6599479519216302,
0.7201713409561131,
0.8357530131537322,
0.8092487994024036
],
"matched_depth_mean_cka": 0.6312462206531024,
"matched_depth_mean_cka_interior_rho_0.1_0.9": 0.6250391884352048,
"matched_depth_max": 0.8357530131537322,
"matched_rho_at_max": 0.9672131147540983,
"depth_profile_correlation_pearson": 0.4823080951327619,
"depth_profile_correlation_spearman": 0.6348339160839161,
"best_match_col_per_ink_layer": [
27,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
25,
27,
27,
27,
27,
27,
27,
28,
28,
29,
29,
60,
60,
60,
60,
60,
25,
25,
25,
27,
26,
26,
26,
26,
26,
26,
27,
27,
26,
26,
26,
27,
27,
27,
27,
27,
27,
27,
27,
27,
27,
27,
27,
59,
59,
59,
59,
59,
59,
59,
59,
60,
60
],
"best_match_rho_other": [
0.4426229508196721,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.45901639344262296,
0.45901639344262296,
0.47540983606557374,
0.47540983606557374,
0.9836065573770492,
0.9836065573770492,
0.9836065573770492,
0.9836065573770492,
0.9836065573770492,
0.4098360655737705,
0.4098360655737705,
0.4098360655737705,
0.4426229508196721,
0.4262295081967213,
0.4262295081967213,
0.4262295081967213,
0.4262295081967213,
0.4262295081967213,
0.4262295081967213,
0.4426229508196721,
0.4426229508196721,
0.4262295081967213,
0.4262295081967213,
0.4262295081967213,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.4426229508196721,
0.9672131147540983,
0.9672131147540983,
0.9672131147540983,
0.9672131147540983,
0.9672131147540983,
0.9672131147540983,
0.9672131147540983,
0.9672131147540983,
0.9836065573770492,
0.9836065573770492
],
"n_distinct_best_matches": 7,
"modal_best_match_fraction": 0.3384615384615385
}
},
"structure_table": {
"inkling": {
"n_blocks": 2,
"boundaries_rho": [
0.49230769230769234
],
"blockiness": 0.10607995588343311,
"coupling": 0.8620906172726316,
"L_fitted": 65,
"source": "this work (n=250)"
},
"kimi_k2.5": {
"n_blocks": 2,
"boundaries_rho": [
0.6166666666666667
],
"blockiness": 0.4153474028305151,
"coupling": 0.7938207537588916,
"L_fitted": 16,
"source": "E6 (n=100)"
},
"v4_flash_base": {
"n_blocks": 2,
"boundaries_rho": [
0.9767441860465116
],
"blockiness": 0.4993693292038113,
"coupling": 0.8746257476700324,
"L_fitted": 16,
"source": "E6 (n=250)"
},
"gemma3_27b_it": {
"n_blocks": 2,
"boundaries_rho": [
0.4426229508196721
],
"blockiness": 0.24221336059027931,
"coupling": 0.7841760237171449,
"L_fitted": 61,
"source": "E1 horizon recombined (n=250)"
},
"olmo3_32b": {
"n_blocks": 2,
"boundaries_rho": [
0.4126984126984127
],
"blockiness": 0.3106120221295454,
"coupling": 0.7851535127132134,
"L_fitted": 63,
"source": "E2 final (n=250)"
}
},
"closest_by_interior_matched_mean": [
[
"gemma27b",
0.6250391884352048
],
[
"olmo",
0.6008691580840406
],
[
"v4",
0.5921047081272144
],
[
"kimi",
0.3618161412970167
]
]
},
"tails_ab": {
"norm_stat": "per-prompt max_l ||J_l^(p)||_F / sqrt(d) from fit logs (inkling: 65 src layers incl. layer 0 \u2014 max over MORE layers than kimi/v4's 16; comparable to dense's 63)",
"ab_distributions": {
"inkling (MoE ~950B, n=250, 65 src layers)": {
"n": 250,
"median": 1119.875,
"q25": 876.751,
"q75": 1462.68875,
"mean": 1334.7828760000002,
"max": 5409.049,
"top3_fraction_of_total": 0.04463064747917848,
"n_ge_10x_median": 0,
"max_over_median": 4.83004710347137
},
"kimi_k2.5 (MoE 1T, n=100, 16 src layers)": {
"n": 100,
"median": 11.252500000000001,
"q25": 8.5205,
"q75": 14.70875,
"mean": 19.42088,
"max": 329.777,
"top3_fraction_of_total": 0.3423325822516797,
"n_ge_10x_median": 2,
"max_over_median": 29.306998444790043
},
"v4_flash_base (MoE 284B, n=250, 16 src layers)": {
"n": 250,
"median": 52.962,
"q25": 33.89575000000001,
"q75": 125.5095,
"mean": 170.555968,
"max": 2213.552,
"top3_fraction_of_total": 0.14895356813313035,
"n_ge_10x_median": 16,
"max_over_median": 41.79509837241796
},
"olmo32b_dense (n=250, 63 src layers)": {
"n": 250,
"median": 1.3125,
"q25": 1.10575,
"q75": 1.6142500000000002,
"mean": 1.4332880000000001,
"max": 5.29,
"top3_fraction_of_total": 0.03676860477447659,
"n_ge_10x_median": 0,
"max_over_median": 4.0304761904761905
}
},
"inkling_median_over_dense_median": 853.2380952380952,
"inkling_median_over_kimi_median": 99.522328371473,
"kimi_median_over_dense_median": 8.573333333333334,
"v4_median_over_dense_median": 40.352000000000004,
"top5_spike_prompts": [
{
"norm": 5409.049,
"shard": 0,
"local_prompt_1based": 53,
"global_prompt_idx": 104,
"dmean_hit_on_running_mean": 0.504
},
{
"norm": 4828.837,
"shard": 1,
"local_prompt_1based": 84,
"global_prompt_idx": 167,
"dmean_hit_on_running_mean": 0.353
},
{
"norm": 4655.17,
"shard": 0,
"local_prompt_1based": 14,
"global_prompt_idx": 26,
"dmean_hit_on_running_mean": 0.842
},
{
"norm": 4400.012,
"shard": 0,
"local_prompt_1based": 111,
"global_prompt_idx": 220,
"dmean_hit_on_running_mean": 0.195
},
{
"norm": 4127.736,
"shard": 0,
"local_prompt_1based": 96,
"global_prompt_idx": 190,
"dmean_hit_on_running_mean": 0.208
}
],
"top3_fraction_of_total_norm_mass": 0.04463064747917848,
"convergence": {
"shard0": {
"n_prompts": 125,
"delta_mean_final": 0.04173644,
"delta_mean_last5": [
0.03014171,
0.047011,
0.04092109,
0.02948343,
0.04173644
],
"delta_mean_min": 0.02901919,
"reached_1e-1": true,
"reached_5e-2": true,
"reached_1e-2": false
},
"shard1": {
"n_prompts": 125,
"delta_mean_final": 0.12205216,
"delta_mean_last5": [
0.07883724,
0.05681737,
0.07967473,
0.0738574,
0.12205216
],
"delta_mean_min": 0.03443719,
"reached_1e-1": true,
"reached_5e-2": true,
"reached_1e-2": false
}
},
"per_prompt_dmean_final_shard1_spike": {
"shard1_last_prompt_global_idx": 249,
"note": "s1 ended at \u0394mean 1.22e-1 because its final prompt (global 249) was itself a tail event; see top5_spike_prompts"
},
"top_spike_texts": {
"104": {
"norm": 5409.049,
"text_head": "ed he \" didn \u2019 t participate as much because of that . \" Hanneman said : \" We go through dry spells sometimes , but the good thing about having two guitar players that can write music is that you are never gonna go witho"
},
"167": {
"norm": 4828.837,
"text_head": "e island . Urania Cabral and her father Agust\u00edn Cabral appear in both the modern day and historical portions of the novel . In the year 1996 , Urania returns to the Dominican Republic for the first time since her departu"
},
"26": {
"norm": 4655.17,
"text_head": "dered less successful than Groundsel . Barker was a devout Christian , and produced religious @-@ themed works throughout her life . She published eight postcards and five guardian angel birthday cards for the Society fo"
},
"220": {
"norm": 4400.012,
"text_head": "hed jointly by UNESCO , INTACH and the Government of India which presents a comprehensive site plan for restoration and a brief history of each sculpture constructed inside the caves . Devin Garret Townsend ( born May 5 "
},
"190": {
"norm": 4127.736,
"text_head": "els approached her . Michaels explained that there was chemistry between Fey and Fallon , though the decision was \" kind of risky \" at the time . Her role in Weekend Update was well received by critics . Ken Tucker of En"
}
}
},
"splithalf": {
"design": "125 disjoint wikitext prompts per shard (even/odd global indices); same probe P_ink_std for both; every statistic recomputed per shard",
"shard0": {
"n_prompts": 125,
"n_blocks": 4,
"boundaries_rho": [
0.3230769230769231,
0.4307692307692308,
0.8461538461538461
],
"boundaries_layer": [
21,
28,
55
],
"blockiness": 0.12002797287630729,
"layer_coupling": 0.8735395889938701,
"kts_forced_k1_to_k4": {
"1": {
"segments_layer_ranges": [
[
0,
64
]
],
"boundaries_rho": [],
"boundaries_layer": [],
"blockiness": 0.0,
"penalized": 0.0
},
"2": {
"segments_layer_ranges": [
[
0,
31
],
[
32,
64
]
],
"boundaries_rho": [
0.49230769230769234
],
"boundaries_layer": [
32
],
"blockiness": 0.07893679717264468,
"penalized": 0.058936797172644675
},
"3": {
"segments_layer_ranges": [
[
0,
20
],
[
21,
27
],
[
28,
64
]
],
"boundaries_rho": [
0.3230769230769231,
0.4307692307692308
],
"boundaries_layer": [
21,
28
],
"blockiness": 0.08922205990205156,
"penalized": 0.049222059902051564
},
"4": {
"segments_layer_ranges": [
[
0,
20
],
[
21,
27
],
[
28,
54
],
[
55,
64
]
],
"boundaries_rho": [
0.3230769230769231,
0.4307692307692308,
0.8461538461538461
],
"boundaries_layer": [
21,
28,
55
],
"blockiness": 0.12002797287630729,
"penalized": 0.06002797287630729
}
},
"band_rule": "interior blocks (k=4, rho in [0.32, 0.85))",
"peak_pr_band": 123.04689016625942,
"peak_pr_band_over_d": 0.020027163112997952,
"peak_rho_band": 0.8307692307692308,
"peak_pr_global": 413.0902620870616,
"peak_rho_global": 0.9846153846153847,
"pr_per_layer": [
7.8347346192572696,
7.535751024410324,
7.284821780658944,
7.077733100966277,
7.037195968409148,
6.927878006761627,
6.7844308573864165,
6.745925185961657,
6.789403323092067,
6.6786646973537405,
6.647047313781916,
6.597269603552263,
6.521003484188752,
6.488616254172272,
6.378724336521469,
6.270432970295058,
6.146578834321841,
6.105854038419549,
6.105853329318737,
5.985344107088598,
5.855227435078832,
5.797150701691692,
5.729923329825682,
5.405030883106319,
5.074305779736838,
4.7677985029143715,
4.513539093209754,
4.165589530473675,
3.9232288506209367,
4.00481205806777,
5.710018410840067,
7.0713472066540195,
8.984854872672193,
9.314792598727815,
10.484798942108378,
11.907948500837549,
13.671967353071794,
15.659615985596307,
17.912130004793607,
19.92491535425049,
22.463038345125078,
25.89357916729314,
28.986647635992583,
32.77229946233682,
35.59297796273137,
39.04799312909706,
52.89128880866095,
61.4926240320712,
68.26115723851342,
75.04375581147852,
84.75284088513872,
98.94383712728649,
105.85288893375507,
109.58978401104979,
123.04689016625942,
140.31509501080782,
142.48047733418198,
159.72762283327899,
147.19245078032668,
140.19119162586443,
132.58141448563148,
157.1751795783759,
224.30205162293692,
338.19229276220506,
413.0902620870616
]
},
"shard1": {
"n_prompts": 125,
"n_blocks": 2,
"boundaries_rho": [
0.49230769230769234
],
"boundaries_layer": [
32
],
"blockiness": 0.1052000222278483,
"layer_coupling": 0.8628548398585899,
"kts_forced_k1_to_k4": {
"1": {
"segments_layer_ranges": [
[
0,
64
]
],
"boundaries_rho": [],
"boundaries_layer": [],
"blockiness": 0.0,
"penalized": 0.0
},
"2": {
"segments_layer_ranges": [
[
0,
31
],
[
32,
64
]
],
"boundaries_rho": [
0.49230769230769234
],
"boundaries_layer": [
32
],
"blockiness": 0.1052000222278483,
"penalized": 0.0852000222278483
},
"3": {
"segments_layer_ranges": [
[
0,
30
],
[
31,
54
],
[
55,
64
]
],
"boundaries_rho": [
0.47692307692307695,
0.8461538461538461
],
"boundaries_layer": [
31,
55
],
"blockiness": 0.11163134372396488,
"penalized": 0.07163134372396487
},
"4": {
"segments_layer_ranges": [
[
0,
21
],
[
22,
27
],
[
28,
54
],
[
55,
64
]
],
"boundaries_rho": [
0.3384615384615385,
0.4307692307692308,
0.8461538461538461
],
"boundaries_layer": [
22,
28,
55
],
"blockiness": 0.1352609514365367,
"penalized": 0.07526095143653672
}
},
"band_rule": "middle-50% depth fallback (k<3)",
"peak_pr_band": 66.65481653350442,
"peak_pr_band_over_d": 0.010848765711833401,
"peak_rho_band": 0.7384615384615385,
"peak_pr_global": 412.11841531689686,
"peak_rho_global": 0.9846153846153847,
"pr_per_layer": [
6.35873994768728,
5.888766025877716,
5.526150222513498,
6.028061167834278,
5.975804389766715,
5.807986668534777,
5.7404459344236685,
5.767742874521115,
5.900876284230133,
5.7972995357450685,
5.785169532032632,
5.740343966904291,
5.618816981372487,
5.594971730794315,
5.53282582665663,
5.484827613038025,
5.408288708285828,
5.463212566513454,
5.518252431420216,
5.473361444896222,
5.425709212566138,
5.4078456081441315,
5.404890408967489,
5.212664402212553,
4.977760482466629,
4.739394539433925,
4.492653661230557,
4.1214319680184595,
3.8550446153410087,
3.9362844899770706,
5.5186893220823325,
6.965612548120677,
8.822660053809185,
9.328976326677946,
10.590967571835435,
12.163860909298137,
13.84210919340637,
15.678174685321942,
17.8393173407879,
19.73905937121359,
22.306432833089936,
25.67701558930387,
28.696739194589345,
32.254045739811716,
35.19768668628127,
38.67043962150022,
52.0927054664365,
60.25148962686986,
66.65481653350442,
73.62594551459448,
82.98811364773971,
96.51731774900999,
103.17253506807218,
107.16494395431934,
119.76651992858929,
137.7841549038184,
139.56994226997782,
157.39062989211573,
144.9725064858349,
137.27137926418146,
129.41566469267036,
155.70397381239863,
223.45763766428647,
336.744725845299,
412.11841531689686
]
},
"agreement": {
"cka_matrix_pearson_r_upper_tri": 0.9823126957060812,
"cka_matrix_mean_abs_dev": 0.014760644179935745,
"cka_matrix_max_abs_dev": 0.08973487285316528,
"same_layer_cka_shard0_x_shard1": [
0.9064890549254054,
0.8878935369859573,
0.8997128421524513,
0.9208057474706526,
0.9220906979034073,
0.9296071515163458,
0.9359122028154572,
0.9367185337383718,
0.9387081882320584,
0.9411777449198959,
0.9418201858538959,
0.9437682059901144,
0.9449059225974916,
0.9470749320245959,
0.9500423956269483,
0.9531843953103505,
0.9579284930572146,
0.9634653464659384,
0.9693130347687889,
0.9742410570616067,
0.9780279626609308,
0.9811321117501319,
0.9853748414568553,
0.98994850546319,
0.9908371614770457,
0.9921968772336367,
0.99269308879729,
0.9930772916882585,
0.9851160356072044,
0.9882931333577615,
0.9937380354645993,
0.9961550305822895,
0.9973248976605655,
0.9975983749369927,
0.9980213782614396,
0.9983813494093614,
0.9985262025724642,
0.9986109143581381,
0.9986365333302074,
0.998656460564435,
0.9990979683061614,
0.9991724390378972,
0.9992543111728914,
0.9992424328293402,
0.9992957411305827,
0.9992420720212989,
0.9993384261268283,
0.999328568596255,
0.9994887917425017,
0.9995463801219784,
0.9995344459133376,
0.9995866964020176,
0.9995914284848537,
0.9996337241693978,
0.9996971689442882,
0.9997782245038032,
0.9998398462202267,
0.9998499128491916,
0.999851507811263,
0.99981058434276,
0.9998040392126739,
0.9998453735698005,
0.9998837305209809,
0.9999604523923008,
0.9999872516958477
],
"same_layer_cka_min": 0.8878935369859573,
"same_layer_cka_median": 0.9973248976605655,
"same_layer_cka_argmin_layer": 1,
"pr_log_pearson_r": 0.9990198794385313,
"pr_ratio_shard1_over_shard0_median": 0.9791779577065663,
"pr_ratio_range": [
0.7585841340944423,
1.0214908897567527
],
"boundary_rho_delta": "k differs"
}
},
"arch_period": {
"architecture": {
"global_attn_layers": [
5,
11,
17,
23,
29,
35,
41,
47,
53,
59,
65
],
"period": 6,
"phase": 5,
"dense_mlp_layers": [
0,
1
],
"bf16_expert_layer": [
2
],
"note": "sources 0..64 = residual after block l; crossing (l,l+1) attributed to block l+1; target 65 (a global-attn block) is the lens target, not a source"
},
"per_crossing": {
"block": [
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64
],
"adjacent_cka": [
0.9875143380320135,
0.98361235979203,
0.9823251728583013,
0.9999359966189302,
0.9984854742433864,
0.998620232354434,
0.9997987092841558,
0.9990382452850639,
0.999550208520343,
0.9998869210404808,
0.9997947290466414,
0.9994378167497018,
0.9995052630898332,
0.9998265877026905,
0.9997421354901658,
0.9998344621846813,
0.9988971350039301,
0.9982338390034935,
0.9992741273503364,
0.9991218904306631,
0.998284900377987,
0.993902476734908,
0.9889929966170732,
0.9979389933190053,
0.9977095583351647,
0.9986956692684223,
0.9979585486345309,
0.5384443242879888,
0.99858257948701,
0.9647824164461015,
0.973938691988581,
0.9512965863489847,
0.998946190075113,
0.9974420645210088,
0.9985891473892317,
0.9989089831512363,
0.9984861008677814,
0.9986174624192521,
0.9993107616028373,
0.9926438142736932,
0.9990476937387012,
0.9990534531559232,
0.9990839448363484,
0.9993638971326718,
0.9985750733501244,
0.992260160541143,
0.9994568591285062,
0.9988935644826485,
0.9995367133855375,
0.9985815403558838,
0.9989215189427485,
0.9995259220812457,
0.9994939362819457,
0.9974305810020724,
0.9951458678773365,
0.9975866741685055,
0.9949064914795739,
0.9972344667066891,
0.9985844637672968,
0.9973353713955272,
0.9873964032266359,
0.977629889082698,
0.9791149376844186,
0.9811338045228475
],
"abs_dlog_Vnorm": [
0.14137364045329015,
0.714574626127936,
0.30751654161336894,
0.018231083898250233,
0.1115501428193042,
0.12798811339312266,
0.04463990972771903,
0.0596700187647361,
0.050567092454178564,
0.02477773295742125,
0.037215934761370306,
0.04915474488420202,
0.039618393513901395,
0.024394035351336996,
0.029447848632612406,
0.02492466308916441,
0.047515921642901304,
0.047911114366705476,
0.03613873713200633,
0.03869494530097661,
0.044355319980180496,
0.06226039111784942,
0.0742460029218055,
0.041698093241244294,
0.05609751507900107,
0.03315114262848873,
0.03964982221827995,
1.174461161588976,
0.1651693453714369,
0.4066394637829127,
0.19238350389537384,
0.3589049008353795,
0.10119358050269156,
0.0929160012375565,
0.09623921927395429,
0.043358432725458584,
0.04638830848427311,
0.0506291671232173,
0.03673187678327228,
0.06078768892316333,
0.031070647011476993,
0.027583339582892386,
0.003100591370662542,
0.004759574524014987,
0.011133997226715486,
0.03999283651488739,
0.010654615100775366,
0.007371088476404886,
0.0016067250971882885,
0.005830952375824872,
0.010672520979098543,
0.0026983994977207715,
0.006125852780095364,
0.0007662835915764887,
0.0046197351130006226,
0.005312623850817211,
0.007460696452423754,
0.01187039289647096,
0.03938079234122771,
0.031535647246312415,
0.030053619813275922,
0.048960105746823857,
0.05755318877208104,
0.05112007393552975
],
"abs_dlog_PR": [
0.06122370428893564,
0.10913683905857585,
0.022903660093423817,
0.010239511452876604,
0.03638825686448599,
0.02684413035146993,
0.003461511513188631,
0.012742245320384482,
0.020736879912053086,
0.0029967002700190815,
0.004519584260544329,
0.014710479222635575,
0.0005539935513874106,
0.01219744455905003,
0.010128962000536923,
0.012614340798432044,
0.013642245665608677,
0.010152035305148965,
0.005327567225751562,
0.007839203065993505,
0.00105878774632151,
0.002618226059847073,
0.030280353940491445,
0.042499258188111844,
0.044216526791811095,
0.04661690048264622,
0.07816217873414621,
0.078238846477092,
0.030132135940877713,
0.35344489569543547,
0.22866213555033998,
0.24338404604010422,
0.047209567652681805,
0.12407595867060817,
0.1340428580122377,
0.13412211824497433,
0.1305457289196279,
0.13238273626114339,
0.10407555286617898,
0.12077182730479619,
0.1415153377796048,
0.11152876313325422,
0.1195484170777994,
0.08462263408975046,
0.09282603033889947,
0.3009450033098866,
0.1479868120148642,
0.10239164380100707,
0.09684293994772109,
0.1205305965628174,
0.15268645788091284,
0.06690947473950715,
0.03608132695111976,
0.11329642013541363,
0.13551279979198316,
0.013983227185765834,
0.11705818943425061,
0.08203789613909596,
0.05169691666784626,
0.05738526628106477,
0.1775245142519042,
0.35840291664221,
0.4102918484561098,
0.20099056445400088
],
"is_global_attn_block": [
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
false,
false
]
},
"global_vs_swa_tests": {
"adjacent_cka_drop_1_minus_C": {
"mean_at_global_attn_blocks": 0.0020074985296277383,
"mean_at_swa_blocks": 0.014235627336101963,
"difference": -0.012228128806474226,
"perm_p_two_sided": 0.24115,
"n_global_crossings": 10
},
"abs_dlog_Vnorm": {
"mean_at_global_attn_blocks": 0.06191684740243479,
"mean_at_swa_blocks": 0.09231911120133277,
"difference": -0.030402263798897974,
"perm_p_two_sided": 0.6705,
"n_global_crossings": 10
},
"abs_dlog_PR": {
"mean_at_global_attn_blocks": 0.06262858280976809,
"mean_at_swa_blocks": 0.0957631500616497,
"difference": -0.033134567251881616,
"perm_p_two_sided": 0.3028,
"n_global_crossings": 10
}
},
"phase_table_mod6": {
"0": {
"n": 10,
"mean_adjacent_cka": 0.9950635251060144,
"mean_abs_dlog_Vnorm": 0.07840063212908319,
"is_global_attn_phase": false
},
"1": {
"n": 11,
"mean_adjacent_cka": 0.9943081562067024,
"mean_abs_dlog_Vnorm": 0.0541836981526993,
"is_global_attn_phase": false
},
"2": {
"n": 11,
"mean_adjacent_cka": 0.9912155274533515,
"mean_abs_dlog_Vnorm": 0.12226200842086837,
"is_global_attn_phase": false
},
"3": {
"n": 11,
"mean_adjacent_cka": 0.9952396308196494,
"mean_abs_dlog_Vnorm": 0.063298407783173,
"is_global_attn_phase": false
},
"4": {
"n": 11,
"mean_adjacent_cka": 0.9538404012285107,
"mean_abs_dlog_Vnorm": 0.14218549324154453,
"is_global_attn_phase": false
},
"5": {
"n": 10,
"mean_adjacent_cka": 0.9979925014703724,
"mean_abs_dlog_Vnorm": 0.06191684740243479,
"is_global_attn_phase": true
}
},
"kts_boundaries_vs_global_attn": [
{
"boundary_first_layer_of_block": 32,
"rho": 0.49230769230769234,
"nearest_global_attn_layer": 29,
"distance_layers": 3
}
],
"cka_to_final_vs_rho": {
"rho": [
0.0,
0.015384615384615385,
0.03076923076923077,
0.046153846153846156,
0.06153846153846154,
0.07692307692307693,
0.09230769230769231,
0.1076923076923077,
0.12307692307692308,
0.13846153846153847,
0.15384615384615385,
0.16923076923076924,
0.18461538461538463,
0.2,
0.2153846153846154,
0.23076923076923078,
0.24615384615384617,
0.26153846153846155,
0.27692307692307694,
0.2923076923076923,
0.3076923076923077,
0.3230769230769231,
0.3384615384615385,
0.35384615384615387,
0.36923076923076925,
0.38461538461538464,
0.4,
0.4153846153846154,
0.4307692307692308,
0.4461538461538462,
0.46153846153846156,
0.47692307692307695,
0.49230769230769234,
0.5076923076923077,
0.5230769230769231,
0.5384615384615384,
0.5538461538461539,
0.5692307692307692,
0.5846153846153846,
0.6,
0.6153846153846154,
0.6307692307692307,
0.6461538461538462,
0.6615384615384615,
0.676923076923077,
0.6923076923076923,
0.7076923076923077,
0.7230769230769231,
0.7384615384615385,
0.7538461538461538,
0.7692307692307693,
0.7846153846153846,
0.8,
0.8153846153846154,
0.8307692307692308,
0.8461538461538461,
0.8615384615384616,
0.8769230769230769,
0.8923076923076924,
0.9076923076923077,
0.9230769230769231,
0.9384615384615385,
0.9538461538461539,
0.9692307692307692,
0.9846153846153847
],
"cka": [
0.6581668830331233,
0.647718677118037,
0.6233515954994835,
0.6390811855882612,
0.6369566356375852,
0.6347424367163222,
0.6325836317061541,
0.6329071739250732,
0.6353759677740293,
0.63381171490575,
0.6339653697158772,
0.6335375695918883,
0.6321071668787113,
0.6330705927065826,
0.6313559058099916,
0.6300190647376394,
0.6275098260781355,
0.6269652617299895,
0.624919008243621,
0.6214502116407821,
0.61752776353799,
0.6122831792661784,
0.5999909093232197,
0.5741320315955407,
0.5571786412949393,
0.5399772059794444,
0.5233107831693695,
0.5046168306954055,
0.5667459145830307,
0.5720247076869116,
0.6156467220986271,
0.6413727276415718,
0.6313233595012319,
0.6299308992462759,
0.638635807716039,
0.644537174555846,
0.6564506373423065,
0.670648686079388,
0.681943062917076,
0.6857140768314589,
0.6655601453124634,
0.6667449383343407,
0.6770101166893867,
0.6910754256473497,
0.6975439308597223,
0.7131891473116265,
0.7364124737046029,
0.7473190446277174,
0.7553721427150121,
0.7659060671377127,
0.7862152397860583,
0.7975654342436436,
0.8049845065388891,
0.8082608604723314,
0.8155510099036006,
0.8438328541361677,
0.8542845378072305,
0.8663249298230373,
0.866531996032823,
0.8634945507637859,
0.8577817420485921,
0.9084205829053282,
0.9601059683712863,
0.9811338045228475,
1.0
]
}
},
"mean_J_spectrum_inkling": {
"inkling": {
"0": {
"rho": 0.0,
"sigma_top5": [
6404.89111328125,
4144.55615234375,
3953.92822265625,
3324.14794921875,
2889.872802734375
],
"sigma_median": 11.416864395141602,
"frob_frac_top1": 0.23188379406929016,
"frob_frac_top10": 0.6426085829734802,
"frob_frac_top100": 0.9142111539840698,
"pr_of_sigma2": 12.252651028399658,
"frob_norm_over_sqrt_d": 169.68792724609375
},
"20": {
"rho": 0.3076923076923077,
"sigma_top5": [
1088.4578857421875,
691.3353271484375,
505.2675476074219,
411.9137878417969,
349.71868896484375
],
"sigma_median": 1.9334406852722168,
"frob_frac_top1": 0.3395826816558838,
"frob_frac_top10": 0.748471200466156,
"frob_frac_top100": 0.9396851062774658,
"pr_of_sigma2": 6.80853476516618,
"frob_norm_over_sqrt_d": 23.829408645629883
},
"26": {
"rho": 0.4,
"sigma_top5": [
854.1532592773438,
521.1104736328125,
473.27239990234375,
348.00323486328125,
316.91839599609375
],
"sigma_median": 1.012024164199829,
"frob_frac_top1": 0.35455286502838135,
"frob_frac_top10": 0.8391513228416443,
"frob_frac_top100": 0.98172527551651,
"pr_of_sigma2": 6.026131060173508,
"frob_norm_over_sqrt_d": 18.300783157348633
},
"27": {
"rho": 0.4153846153846154,
"sigma_top5": [
837.0819702148438,
496.4289245605469,
461.36016845703125,
331.26031494140625,
313.3231506347656
],
"sigma_median": 0.9318728446960449,
"frob_frac_top1": 0.3665207326412201,
"frob_frac_top10": 0.8511492609977722,
"frob_frac_top100": 0.9850572943687439,
"pr_of_sigma2": 5.7366528395137495,
"frob_norm_over_sqrt_d": 17.6397762298584
},
"28": {
"rho": 0.4307692307692308,
"sigma_top5": [
267.8470153808594,
94.3975601196289,
73.63587951660156,
69.78312683105469,
61.048316955566406
],
"sigma_median": 0.879575788974762,
"frob_frac_top1": 0.4770679473876953,
"frob_frac_top10": 0.6968755722045898,
"frob_frac_top100": 0.8630273342132568,
"pr_of_sigma2": 4.243692967016009,
"frob_norm_over_sqrt_d": 4.94733190536499
},
"39": {
"rho": 0.6,
"sigma_top5": [
36.09160232543945,
13.614348411560059,
12.014737129211426,
10.16483211517334,
9.2496337890625
],
"sigma_median": 0.9063073992729187,
"frob_frac_top1": 0.12838712334632874,
"frob_frac_top10": 0.2100469470024109,
"frob_frac_top100": 0.3176378607749939,
"pr_of_sigma2": 56.45723802411104,
"frob_norm_over_sqrt_d": 1.285049319267273
},
"64": {
"rho": 0.9846153846153847,
"sigma_top5": [
7.810776710510254,
4.7137885093688965,
3.236276388168335,
2.8519701957702637,
2.681859254837036
],
"sigma_median": 1.0018129348754883,
"frob_frac_top1": 0.009362227283418179,
"frob_frac_top10": 0.021176166832447052,
"frob_frac_top100": 0.05654717609286308,
"pr_of_sigma2": 3620.9733976194875,
"frob_norm_over_sqrt_d": 1.0298619270324707
}
},
"kimi": {
"0": {
"rho": 0.0,
"sigma_top5": [
369.96356201171875,
149.72232055664062,
75.3685073852539,
51.07548904418945,
45.1034049987793
],
"sigma_median": 0.5419458746910095,
"frob_frac_top1": 0.7233168482780457,
"frob_frac_top10": 0.9193979501724243,
"frob_frac_top100": 0.9618430137634277,
"pr_of_sigma2": 1.8566965727295173,
"frob_norm_over_sqrt_d": 5.138018608093262
},
"14": {
"rho": 0.23333333333333334,
"sigma_top5": [
63.82433319091797,
56.843135833740234,
21.99608039855957,
18.256778717041016,
15.862117767333984
],
"sigma_median": 0.6326301097869873,
"frob_frac_top1": 0.2856099009513855,
"frob_frac_top10": 0.6068047881126404,
"frob_frac_top100": 0.6684036254882812,
"pr_of_sigma2": 7.402782527859745,
"frob_norm_over_sqrt_d": 1.410589575767517
},
"18": {
"rho": 0.3,
"sigma_top5": [
52.1154670715332,
43.08547592163086,
20.02149200439453,
15.875242233276367,
14.201775550842285
],
"sigma_median": 0.6986040472984314,
"frob_frac_top1": 0.23704855144023895,
"frob_frac_top10": 0.49447527527809143,
"frob_frac_top100": 0.5613752007484436,
"pr_of_sigma2": 11.808830278702018,
"frob_norm_over_sqrt_d": 1.2642966508865356
},
"23": {
"rho": 0.38333333333333336,
"sigma_top5": [
37.4743537902832,
35.17422866821289,
15.0441255569458,
12.406737327575684,
11.85621166229248
],
"sigma_median": 0.7926892638206482,
"frob_frac_top1": 0.14326448738574982,
"frob_frac_top10": 0.34007352590560913,
"frob_frac_top100": 0.4101266860961914,
"pr_of_sigma2": 26.546740196859847,
"frob_norm_over_sqrt_d": 1.169407606124878
},
"37": {
"rho": 0.6166666666666667,
"sigma_top5": [
15.093870162963867,
14.451396942138672,
8.587494850158691,
5.821872234344482,
5.580783843994141
],
"sigma_median": 1.0090662240982056,
"frob_frac_top1": 0.024996688589453697,
"frob_frac_top10": 0.07232557982206345,
"frob_frac_top100": 0.12270016223192215,
"pr_of_sigma2": 692.3690324158493,
"frob_norm_over_sqrt_d": 1.1276137828826904
},
"59": {
"rho": 0.9833333333333333,
"sigma_top5": [
10.152944564819336,
8.030840873718262,
5.886194705963135,
4.747577667236328,
4.206010341644287
],
"sigma_median": 0.9997541308403015,
"frob_frac_top1": 0.013395480811595917,
"frob_frac_top10": 0.03924727439880371,
"frob_frac_top100": 0.07822459191083908,
"pr_of_sigma2": 2257.160941965042,
"frob_norm_over_sqrt_d": 1.036129117012024
}
},
"v4": {
"0": {
"rho": 0.0,
"sigma_top5": [
827.2113647460938,
749.2796630859375,
586.6981201171875,
504.3359069824219,
427.2951965332031
],
"sigma_median": 1.49948251247406,
"frob_frac_top1": 0.230949267745018,
"frob_frac_top10": 0.8315132260322571,
"frob_frac_top100": 0.9802257418632507,
"pr_of_sigma2": 8.363645292033016,
"frob_norm_over_sqrt_d": 26.89541244506836
},
"12": {
"rho": 0.27906976744186046,
"sigma_top5": [
395.8596496582031,
296.20367431640625,
235.57562255859375,
163.4374542236328,
154.7378692626953
],
"sigma_median": 1.9517499208450317,
"frob_frac_top1": 0.27346721291542053,
"frob_frac_top10": 0.6949229836463928,
"frob_frac_top100": 0.9126029014587402,
"pr_of_sigma2": 8.776892951510707,
"frob_norm_over_sqrt_d": 11.827926635742188
},
"18": {
"rho": 0.4186046511627907,
"sigma_top5": [
330.437255859375,
217.70974731445312,
189.23806762695312,
142.9519805908203,
120.77802276611328
],
"sigma_median": 1.9862480163574219,
"frob_frac_top1": 0.26567766070365906,
"frob_frac_top10": 0.6313554644584656,
"frob_frac_top100": 0.8850756287574768,
"pr_of_sigma2": 10.226340213421077,
"frob_norm_over_sqrt_d": 10.016858100891113
},
"28": {
"rho": 0.6511627906976745,
"sigma_top5": [
79.12069702148438,
67.39215087890625,
51.33837890625,
42.71382522583008,
31.103891372680664
],
"sigma_median": 2.093533515930176,
"frob_frac_top1": 0.1200488731265068,
"frob_frac_top10": 0.35191836953163147,
"frob_frac_top100": 0.524881899356842,
"pr_of_sigma2": 37.02452935797491,
"frob_norm_over_sqrt_d": 3.5680510997772217
},
"42": {
"rho": 0.9767441860465116,
"sigma_top5": [
4.947005271911621,
2.2862184047698975,
1.8486039638519287,
1.750306248664856,
1.5875169038772583
],
"sigma_median": 1.5841007232666016,
"frob_frac_top1": 0.0023763191420584917,
"frob_frac_top10": 0.0049782563000917435,
"frob_frac_top100": 0.026935746893286705,
"pr_of_sigma2": 4018.015272046788,
"frob_norm_over_sqrt_d": 1.5856597423553467
}
},
"olmo": {
"0": {
"rho": 0.0,
"sigma_top5": [
26.32300567626953,
6.246831893920898,
4.811007022857666,
4.6446733474731445,
4.232285976409912
],
"sigma_median": 0.03342210501432419,
"frob_frac_top1": 0.5878790020942688,
"frob_frac_top10": 0.7169724702835083,
"frob_frac_top100": 0.8948565125465393,
"pr_of_sigma2": 2.869194869544407,
"frob_norm_over_sqrt_d": 0.4797958731651306
},
"18": {
"rho": 0.2857142857142857,
"sigma_top5": [
15.594326972961426,
4.986816883087158,
3.873039722442627,
3.2794110774993896,
3.1477742195129395
],
"sigma_median": 0.18234038352966309,
"frob_frac_top1": 0.2706620693206787,
"frob_frac_top10": 0.3731178343296051,
"frob_frac_top100": 0.5501784086227417,
"pr_of_sigma2": 13.263375326330394,
"frob_norm_over_sqrt_d": 0.4189073145389557
},
"26": {
"rho": 0.4126984126984127,
"sigma_top5": [
8.673527717590332,
3.799625873565674,
3.063845157623291,
2.893043041229248,
2.6161630153656006
],
"sigma_median": 0.48041629791259766,
"frob_frac_top1": 0.04517750069499016,
"frob_frac_top10": 0.08359115570783615,
"frob_frac_top100": 0.17150214314460754,
"pr_of_sigma2": 392.18209349860626,
"frob_norm_over_sqrt_d": 0.5702951550483704
},
"41": {
"rho": 0.6507936507936508,
"sigma_top5": [
6.6418843269348145,
3.33650541305542,
3.0648913383483887,
2.8899362087249756,
2.647355556488037
],
"sigma_median": 0.6780042052268982,
"frob_frac_top1": 0.015855036675930023,
"frob_frac_top10": 0.03796350955963135,
"frob_frac_top100": 0.10103833675384521,
"pr_of_sigma2": 1726.44226291389,
"frob_norm_over_sqrt_d": 0.7371785640716553
},
"62": {
"rho": 0.9841269841269841,
"sigma_top5": [
4.533122539520264,
2.7755017280578613,
1.9940510988235474,
1.8290491104125977,
1.7877570390701294
],
"sigma_median": 0.9981254935264587,
"frob_frac_top1": 0.0040689571760594845,
"frob_frac_top10": 0.009837728925049305,
"frob_frac_top100": 0.035067178308963776,
"pr_of_sigma2": 4601.63257836114,
"frob_norm_over_sqrt_d": 0.9931638836860657
}
}
},
"inkling_cka_blocks": {
"n_blocks": 2,
"segments": [
[
0,
31
],
[
32,
64
]
],
"block_layers": [
[
0,
31
],
[
32,
64
]
],
"boundaries_rho": [
0.49230769230769234
],
"sensory_end": 0.49230769230769234,
"motor_start": 0.49230769230769234,
"blockiness": 0.10607995588343311,
"mean_within": 0.9159465948749901,
"mean_between": 0.809866638991557,
"layer_coupling": 0.8620906172726316,
"selection_curve": {
"1": {
"blockiness": 0.0,
"penalized": 0.0
},
"2": {
"blockiness": 0.10607995588343311,
"penalized": 0.0860799558834331
},
"3": {
"blockiness": 0.11253936563232236,
"penalized": 0.07253936563232236
},
"4": {
"blockiness": 0.13489228919500784,
"penalized": 0.07489228919500784
},
"5": {
"blockiness": 0.14425370665575687,
"penalized": 0.06425370665575687
},
"6": {
"blockiness": 0.14544304984048195,
"penalized": 0.04544304984048195
},
"7": {
"blockiness": 0.14212646022455788,
"penalized": 0.022126460224557887
},
"8": {
"blockiness": 0.14093611354312363,
"penalized": 0.0009361135431236178
},
"9": {
"blockiness": 0.14384285271578623,
"penalized": -0.016157147284213774
},
"10": {
"blockiness": 0.1446295178117284,
"penalized": -0.0353704821882716
}
},
"penalty_per_block": 0.02,
"kts_forced_k1_to_k4": {
"1": {
"segments_layer_ranges": [
[
0,
64
]
],
"boundaries_rho": [],
"boundaries_layer": [],
"blockiness": 0.0,
"penalized": 0.0
},
"2": {
"segments_layer_ranges": [
[
0,
31
],
[
32,
64
]
],
"boundaries_rho": [
0.49230769230769234
],
"boundaries_layer": [
32
],
"blockiness": 0.10607995588343311,
"penalized": 0.0860799558834331
},
"3": {
"segments_layer_ranges": [
[
0,
30
],
[
31,
54
],
[
55,
64
]
],
"boundaries_rho": [
0.47692307692307695,
0.8461538461538461
],
"boundaries_layer": [
31,
55
],
"blockiness": 0.11253936563232236,
"penalized": 0.07253936563232236
},
"4": {
"segments_layer_ranges": [
[
0,
20
],
[
21,
27
],
[
28,
54
],
[
55,
64
]
],
"boundaries_rho": [
0.3230769230769231,
0.4307692307692308,
0.8461538461538461
],
"boundaries_layer": [
21,
28,
55
],
"blockiness": 0.13489228919500784,
"penalized": 0.07489228919500784
}
}
}
}