Synchronize experiment results

results/census/REPORT.md

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+# Certified census of native-basis structure (Phase A)
+
+Instrument: `experiments/census/census.py` (see README). Token budget per layer: norm 50k / fit 400k / match 50k / eval 50k / causal 50k (64-token WikiText-2 sequences); top-64 candidate modes; B=12 closure bootstraps; 20-permutation null; qualifying block = closed and mean excess over the diagonal mass share > 2× the off-diagonal (co-firing noise) edge; causal at all positions, B=200 sequence-bootstrap CIs; ratios suppressed when the full-write effect is below 0.02 nats/token.
+
+Figures: `figures/F1_depth_profiles.png` (S, D, W vs relative depth; trained solid, random dashed; Fisher left, L2 right), `figures/F1b_widths_effect.png`.
+
+## GPT-2 small (trained) — 12 layers
+
+### T1 (fisher)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 0 | +3.6323 | 1140 | 75.46 | 8≥* 2* 2* | 12≥ | 0.224 | 0.344 [0.34, 0.35] | 0.009 | 0.017 | 0.538 | 0.395 | [None, None, None] | — |
+| 1 | +1.6381 | 1182 | 62.12 | 8≥* 8≥* 2* | 18≥ | 0.453 | 0.985 [0.98, 0.99] | 0.910 | 0.023 | 0.989 | 0.960 | [None, None, None] | — |
+| 2 | +0.1937 | 920 | 94.08 | 8≥* | 8≥ | 0.776 | 0.629 [0.61, 0.65] | 1.757 | 1.795 | 0.776 | 0.665 | [None] | — |
+| 3 | +0.0611 | 1821 | 46.48 | 1* 4* | 5 | 0.072 | -0.134 [-0.17, -0.10] | -0.138 | 0.032 | 0.179 | -0.201 | [None, None] | — |
+| 4 | +0.0852 | 1885 | 48.64 | 4* 5* | 9 | 0.097 | 0.222 [0.20, 0.24] | 0.224 | 0.067 | 0.571 | 0.189 | [None, None] | — |
+| 5 | +0.0720 | 2042 | 11.42 | 7* 3* | 10 | 0.062 | -0.056 [-0.08, -0.03] | -0.033 | 0.078 | 0.330 | -0.010 | [None, None] | — |
+| 6 | +0.0436 | 2014 | 66.72 | 8≥* 2* | 10≥ | 0.038 | -0.199 [-0.26, -0.14] | -0.132 | -0.015 | 0.411 | 0.094 | [None, None] | — |
+| 7 | +0.0409 | 2106 | 72.10 | 8≥* 2* 1* 1* | 12≥ | 0.049 | -0.653 [-0.78, -0.56] | -0.634 | 0.077 | 0.213 | -0.619 | [None, None, None, None] | — |
+| 8 | +0.0695 | 1909 | 93.97 | 8≥* | 8≥ | 0.088 | 0.117 [0.09, 0.14] | 0.027 | 0.078 | 0.314 | -0.289 | [None] | — |
+| 9 | +0.0715 | 1805 | 48.15 | 6* 2* | 8 | 0.024 | -0.045 [-0.06, -0.03] | -0.085 | 0.012 | 0.275 | -0.064 | [22, None] | — |
+| 10 | +0.0469 | 1826 | 38.06 | 7* | 7 | 0.027 | -0.023 [-0.04, -0.01] | -0.045 | 0.051 | -0.164 | -0.287 | [58] | — |
+| 11 | +0.0619 | 1139 | 59.82 | 6* 2* 1* 2* | 11 | 0.124 | 0.165 [0.13, 0.20] | 0.161 | 0.280 | -0.736 | -0.450 | [None, 12, 57, None] | — |
+
+### T1 (l2)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 0 | +3.6323 | 1515 | 233.96 | 8≥* 8≥* 1* 8≥* 2* | 27≥ | 0.421 | 0.597 [0.59, 0.60] | 0.055 | 0.054 | 0.746 | 0.605 | [28, None, None, None, None] | — |
+| 1 | +1.6381 | 293 | 302.65 | 8≥* 8≥* 7 1* | 17≥ | 0.962 | 0.981 [0.98, 0.98] | 0.890 | 0.818 | 0.990 | 0.967 | [None, None, None] | — |
+| 2 | +0.1937 | 25 | 426.48 | 8≥* 8≥ 4 1 2 | 8≥ | 0.998 | 0.668 [0.65, 0.69] | 0.437 | 7.518 | 0.776 | 0.667 | [None] | — |
+| 3 | +0.0611 | 1331 | 139.25 | 8≥* 7* 8≥* 1* 1* 1* | 26≥ | 0.727 | 0.036 [0.02, 0.06] | -0.006 | 1.940 | 0.546 | -0.153 | [None, None, None, None, None, None] | — |
+| 4 | +0.0852 | 2268 | 112.01 | 8≥* 6* 8≥* 1* 7* | 30≥ | 0.616 | 0.172 [0.14, 0.21] | 0.224 | 1.087 | 0.648 | 0.163 | [None, None, None, None, None] | — |
+| 5 | +0.0720 | 2575 | 84.26 | 8≥* 2* 8≥* 2* 6* 2* | 28≥ | 0.333 | -0.029 [-0.06, 0.01] | 0.103 | 0.565 | 0.540 | 0.061 | [None, None, None, None, None, None] | — |
+| 6 | +0.0436 | 2601 | 46.38 | 8≥* 6* | 14≥ | 0.101 | -0.066 [-0.11, -0.03] | 0.014 | 0.065 | 0.521 | -0.082 | [None, None] | — |
+| 7 | +0.0409 | 2634 | 42.90 | 8≥* 6* 1* | 15≥ | 0.058 | 0.107 [0.07, 0.14] | 0.158 | 0.116 | 0.316 | -0.031 | [None, None, None] | — |
+| 8 | +0.0695 | 2570 | 53.57 | 8≥* 8≥* 1* 2* | 19≥ | 0.070 | -0.110 [-0.13, -0.08] | -0.013 | 0.074 | 0.492 | -0.396 | [None, None, None, None] | — |
+| 9 | +0.0715 | 2468 | 31.23 | 8≥* 8≥* 2* 3* 2* 2* | 25≥ | 0.105 | 0.060 [0.04, 0.08] | 0.098 | 0.120 | 0.430 | -0.161 | [60, None, None, None, None, None] | — |
+| 10 | +0.0469 | 2302 | 37.31 | 8≥* 2* 2* 1* 2* | 15≥ | 0.244 | -0.121 [-0.17, -0.08] | 0.280 | 0.793 | -0.317 | -0.042 | [None, 44, None, None, None] | — |
+| 11 | +0.0619 | 1987 | 8.15 | 8≥* 8≥* 6* 1 2 | 22≥ | 0.482 | -1.069 [-1.40, -0.83] | -0.529 | 2.307 | -0.716 | -0.407 | [None, None, None] | — |
+
+### Compact-module atlas (Fisher, certified width ≤ 6)
+
+No certified compact module (width ≤ 6) in this model.
+
+**Single-position replication** (intervene at the penultimate position only, read the final-token loss; the harness of `evaluate.py`). Ablation share = ΔL(ablate stable subspace)/ΔL(full write); negative = removing the reproducible subspace lowers loss. "helped" = fraction of positions whose loss drops.
+
+| layer | ΔL full | Fisher: D | ablate share (all-pos) | S_replace | random matched-energy | helped | ΔL by clean-loss quartile (Q1..Q4) | L2: D | ablate share (all-pos) | S_replace | random |
+| ---: | ---: | ---: | ---: | ---: | ---: | ---: | --- | ---: | ---: | ---: | ---: |
+| 0 | +0.8061 | 12 | -0.001 (0.01) | 0.244 | 0.001 | 0.51 | [0.0047, -0.004, -0.0207, 0.0154] | 27 | 0.011 (0.05) | 0.256 | 0.003 |
+| 1 | +0.0066 | 18 | -0.829 (0.91) | -0.355 | 0.052 | 0.51 | [-0.0001, -0.0195, -0.0057, 0.0033] | 17 | 0.073 (0.89) | 0.129 | 0.091 |
+| 2 | +0.0032 | 8 | -0.311 (1.76) | -0.134 | 0.016 | 0.52 | [-0.0003, -0.0004, -0.0002, -0.0032] | 8 | 0.003 (0.44) | 0.192 | 0.138 |
+| 3 | +0.0353 | 5 | -0.009 (-0.14) | -0.030 | -0.004 | 0.52 | [0.0001, 0.0036, 0.0011, -0.0059] | 26 | 0.077 (-0.01) | 0.036 | 0.003 |
+| 4 | +0.0196 | 9 | 0.173 (0.22) | 0.221 | 0.056 | 0.48 | [0.006, 0.0048, -0.0072, 0.0099] | 30 | -0.263 (0.22) | -0.233 | 0.277 |
+| 5 | +0.0510 | 10 | -0.010 (-0.03) | -0.026 | -0.003 | 0.51 | [0.0058, -0.0019, -0.0015, -0.0045] | 28 | 0.025 (0.10) | -0.117 | 0.044 |
+| 6 | +0.0432 | 10 | -0.165 (-0.13) | -0.194 | -0.005 | 0.49 | [0.0039, -0.0196, -0.0154, 0.0026] | 14 | -0.136 (0.01) | -0.175 | 0.020 |
+| 7 | +0.0482 | 12 | -0.191 (-0.63) | -0.277 | 0.042 | 0.50 | [0.0095, -0.0243, -0.012, -0.0101] | 15 | 0.038 (0.16) | 0.020 | 0.107 |
+| 8 | +0.0845 | 8 | 0.052 (0.03) | 0.085 | 0.007 | 0.48 | [0.0127, 0.0146, 0.0013, -0.011] | 19 | 0.179 (-0.01) | 0.145 | 0.048 |
+| 9 | +0.0781 | 8 | -0.043 (-0.09) | -0.022 | 0.005 | 0.47 | [0.0012, 0.0055, -0.0082, -0.0118] | 25 | 0.069 (0.10) | 0.007 | 0.118 |
+| 10 | +0.0843 | 7 | -0.073 (-0.05) | -0.054 | 0.002 | 0.51 | [-0.0038, -0.0149, -0.0029, -0.0032] | 15 | 0.182 (0.28) | -0.026 | 0.305 |
+| 11 | +0.0966 | 11 | 0.145 (0.16) | 0.128 | 0.012 | 0.46 | [0.0055, 0.0388, 0.0024, 0.0094] | 22 | 0.097 (-0.53) | -0.204 | 0.983 |
+
+Do the Fisher-stable and L2-stable unions span the same directions? Principal cos² in the L2 geometry of the causal-split tokens: L0: 5/12 shared (mean cos² 0.58); L1: 4/17 shared (mean cos² 0.38); L2: 2/8 shared (mean cos² 0.46); L3: 2/5 shared (mean cos² 0.51); L4: 2/9 shared (mean cos² 0.48); L5: 3/10 shared (mean cos² 0.46); L6: 1/10 shared (mean cos² 0.34); L7: 3/12 shared (mean cos² 0.39); L8: 4/8 shared (mean cos² 0.57); L9: 5/8 shared (mean cos² 0.83); L10: 0/7 shared (mean cos² 0.06); L11: 4/11 shared (mean cos² 0.50).
+
+Is the effect a confidence (temperature) knob? Entropy of the clean vs ablated next-token distribution, the single temperature T* that reproduces the ablated entropy from the clean logits, and the loss change that temperature alone produces; ρ = Spearman(mean log-prob change per token, unigram log-frequency) tests a frequency-axis reading.
+
+| layer | metric | D | H clean → ablated | T* | ΔL temperature | ΔL ablation | ρ(Δlogp, log freq) | removal raises log-prob of | removal lowers log-prob of |
+| ---: | --- | ---: | --- | ---: | ---: | ---: | ---: | --- | --- |
+| 0 | fisher | 12 | 3.903 → 3.892 | 0.998 | +0.0001 | -0.0011 | 0.10 | ' hon' ' affili' ' neighbours' ' plagued' ' Petty' | '\x17' '\x01' '�' '\x00' '\x1e' |
+| 0 | l2 | 27 | 3.903 → 3.924 | 1.003 | -0.0001 | +0.0087 | 0.01 | 'izations' 'isations' ' brackets' 'redients' 'ivities' | '��極' 'ync' 'hire' 'hack' 'ilk' |
+| 1 | fisher | 18 | 3.903 → 3.915 | 1.002 | -0.0001 | -0.0055 | 0.08 | ' eleph' ' teasp' 'PDATE' 'ーテ' 'WARE' | 'ictions' 'ilar' 'igo' 'rils' 'eworld' |
+| 1 | l2 | 17 | 3.903 → 3.902 | 1.000 | +0.0000 | +0.0005 | 0.04 | '�' 'ーテ' ' teasp' '�' '�' | 'iration' 'itability' 'itus' 'pless' 'isites' |
+| 2 | fisher | 8 | 3.903 → 3.901 | 1.000 | +0.0000 | -0.0010 | -0.10 | 'arers' 'erers' 'iners' 'ipment' 'engers' | ' Obesity' ' Abstract' ' Uzbek' ' Eur' ' Immunity' |
+| 2 | l2 | 8 | 3.903 → 3.902 | 1.000 | -0.0000 | +0.0000 | -0.08 | ' seiz' ' corrid' 'ÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂ' ' reluct' ' tradem' | 'wered' ' McKenna' 'edia' 'eking' 'np' |
+| 3 | fisher | 5 | 3.903 → 3.907 | 1.001 | -0.0000 | -0.0003 | -0.04 | ' pant' 'enei' ' curriculum' ' whim' ' jaws' | ' ].' ' ]' 'DragonMagazine' ' ];' 'ーティ' |
+| 3 | l2 | 26 | 3.903 → 3.904 | 1.000 | -0.0000 | +0.0027 | -0.15 | '��' 'ogun' 'eco' 'ulhu' 'jriwal' | ' Lent' ' Christensen' ' Larson' ' Reported' ' Upon' |
+| 4 | fisher | 9 | 3.903 → 3.896 | 0.999 | +0.0000 | +0.0034 | 0.05 | 'SPONSORED' ')=(' ' Skydragon' 'ilan' ' misunder' | ' ."' ' ,"' ' )' ' ]' ' ):' |
+| 4 | l2 | 30 | 3.903 → 3.913 | 1.001 | -0.0001 | -0.0051 | -0.03 | 'anamo' 'atin' 'lamm' 'enes' 'ses' | ' ,"' '��' ' ."' ' convention' ' eleph' |
+| 5 | fisher | 10 | 3.903 → 3.904 | 1.000 | -0.0000 | -0.0005 | -0.08 | '�' ' enthusi' '�' ' practition' '�' | ' }' ' ||' ' ]' ' )' ' >>' |
+| 5 | l2 | 28 | 3.903 → 3.914 | 1.002 | -0.0001 | +0.0013 | -0.26 | '\t' '\x02' '\x11' '�' '\x04' | "\\'" " ''" '�' ' �' '-"' |
+| 6 | fisher | 10 | 3.903 → 3.916 | 1.002 | -0.0001 | -0.0071 | 0.07 | 'rawdownload' '龍�' '�' '\x13' '\x17' | 'iced' 'icky' 'erv' '�' 'mington' |
+| 6 | l2 | 14 | 3.903 → 3.919 | 1.002 | -0.0001 | -0.0059 | -0.07 | '\x02' '�' 'rawdownload' '\x00' '\t' | 'SPONSORED' 'mith' '"(' '________' '-"' |
+| 7 | fisher | 12 | 3.903 → 3.934 | 1.004 | -0.0001 | -0.0092 | -0.04 | ' eleph' ' pione' ' subur' '�' ' RandomRedditor' | 'ix' 'idd' 'urn' 'iz' '—"' |
+| 7 | l2 | 15 | 3.903 → 3.899 | 0.999 | +0.0000 | +0.0018 | -0.16 | ' pione' '�' '�' '�' '\x19' | 'Merit' ' and' ' ETF' 'etc' 'and' |
+| 8 | fisher | 8 | 3.903 → 3.904 | 1.000 | -0.0000 | +0.0044 | 0.01 | ' ,' ',,,,' ' ).' ' .' ' ),' | 'rost' ' sauces' 'ish' 'onite' 'unci' |
+| 8 | l2 | 19 | 3.903 → 3.924 | 1.003 | -0.0001 | +0.0151 | -0.17 | ' proble' ' challeng' ' Citiz' '�' ' hemor' | 'eer' ' yet' 'ster' 'est' '${' |
+| 9 | fisher | 8 | 3.903 → 3.907 | 1.001 | -0.0000 | -0.0033 | -0.12 | 'ゴン' ' exting' ' behavi' 'ーテ' ' eleph' | '"]' '…)' '?".' '…"' '])' |
+| 9 | l2 | 25 | 3.903 → 3.944 | 1.006 | -0.0001 | +0.0054 | -0.16 | ' millenn' ' metic' ' mosqu' ' therap' ' conflic' | ' ±' '>[' ' ($' ']' ' <<' |
+| 10 | fisher | 7 | 3.903 → 3.891 | 0.998 | +0.0001 | -0.0062 | -0.22 | 'kefeller' 'perty' 'gencies' 'prus' 'afety' | ' ,' '.",' ' ,"' ' ),' '",' |
+| 10 | l2 | 15 | 3.903 → 3.916 | 1.002 | -0.0001 | +0.0154 | -0.03 | ' livest' 'everal' 'ccording' ' tremend' ' metic' | 'ズ' ' Cheong' ' Gallup' ' Pew' ' Tweet' |
+| 11 | fisher | 11 | 3.903 → 3.844 | 0.991 | +0.0006 | +0.0140 | 0.28 | ' along' ' as' ' hence' ' by' ' "' | '\x03' '�' '\x1a' '\t' ' RandomRedditor' |
+| 11 | l2 | 22 | 3.903 → 3.946 | 1.006 | -0.0001 | +0.0094 | 0.20 | ' Is' ' Was' ' Cr' ' Don' ' Ol' | 'embedreportprint' '�' '\x1a' '\x03' ' RandomRedditor' |
+
+**SAE bridge, layer 8** (1536 SAE latents active on the evaluation split; 21 reproducible at decoder cosine ≥ 0.8 in all 12 refits)
+
+| stable-subspace fraction | AUC reproducible vs not | median frac. reproducible | median frac. not | Spearman ρ with #matching refits |
+| --- | ---: | ---: | ---: | ---: |
+| fisher_blocks | 0.494 | 0.002 | 0.002 | -0.041 |
+| l2_analogue | 0.751 | 0.000 | 0.000 | 0.160 |
+| random_subspace_same_D | 0.577 | 0.002 | 0.001 | 0.044 |
+
+| C | fcm_fisher | fcm_l2 | sae | pca | mass_neurons |
+| ---: | ---: | ---: | ---: | ---: | ---: |
+| 1 | 0.176 | -0.062 | -0.081 | 0.019 | -0.212 |
+| 2 | 0.176 | -0.066 | -0.090 | 0.243 | -0.205 |
+| 4 | 0.182 | -0.065 | 0.117 | 0.297 | -0.295 |
+| 8 | 0.246 | -0.054 | 0.162 | 0.308 | -0.289 |
+| 16 | 0.178 | -0.131 | 0.161 | 0.410 | -0.212 |
+| 32 | 0.145 | -0.022 | 0.165 | 0.555 | -0.445 |
+| 64 | 0.235 | -0.033 | 0.304 | 0.689 | -0.403 |
+
+Reproducibility-weighted: sae_reproducible_top1: -0.081, sae_reproducible_top2: -0.090, sae_reproducible_top4: 0.117, sae_reproducible_top8: 0.144, sae_reproducible_top16: 0.176, fisher_qualifying_blocks_D8: 0.133
+
+## GPT-2 small (random init) — 12 layers
+
+### T1 (fisher)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 0 | -0.0044 | 2417 | 30.30 | 7* | 7 | 0.014 | — | — | — | -3.171 | 0.282 | [None] | — |
+| 1 | +0.0085 | 2455 | 17.61 | 2* 7* | 9 | 0.008 | — | — | — | 1.188 | -0.188 | [None, None] | — |
+| 2 | +0.0010 | 2496 | 11.59 | 8≥* | 8≥ | 0.009 | — | — | — | 4.166 | 0.912 | [None] | — |
+| 3 | +0.0002 | 2508 | 7.87 | 7* 2* | 9 | 0.012 | — | — | — | 5.344 | -0.000 | [None, None] | — |
+| 4 | -0.0037 | 2476 | 8.93 | 7* | 7 | 0.006 | — | — | — | 0.304 | 0.134 | [None] | — |
+| 5 | +0.0011 | 2478 | 6.36 | 8≥* 2* | 10≥ | 0.014 | — | — | — | 0.396 | -0.184 | [None, None] | — |
+| 6 | +0.0014 | 2488 | 5.41 | 7* | 7 | 0.006 | — | — | — | 0.817 | 0.247 | [None] | — |
+| 7 | +0.0022 | 2498 | 6.38 | 2* | 2 | 0.006 | — | — | — | 0.637 | 0.024 | [None] | — |
+| 8 | +0.0008 | 2499 | 4.63 | 4* | 4 | 0.005 | — | — | — | 0.136 | -0.026 | [None] | — |
+| 9 | -0.0020 | 2504 | 4.03 | 8≥* | 8≥ | 0.009 | — | — | — | 0.438 | -0.003 | [None] | — |
+| 10 | -0.0008 | 2502 | 2.99 | 3* | 3 | 0.006 | — | — | — | 0.151 | -0.004 | [None] | — |
+| 11 | -0.0004 | 2513 | 3.19 | 4* | 4 | 0.006 | — | — | — | 0.940 | 0.222 | [None] | — |
+
+### T1 (l2)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 0 | -0.0044 | 2714 | 13.02 | 8≥* 7* | 15≥ | 0.017 | — | — | — | -2.764 | 0.948 | [None, None] | — |
+| 1 | +0.0085 | 2621 | 20.88 | 4* 5* 4* 2* | 15 | 0.016 | — | — | — | 1.116 | -0.234 | [None, None, None, None] | — |
+| 2 | +0.0010 | 2612 | 17.37 | 8≥* | 8≥ | 0.005 | — | — | — | 4.166 | 0.536 | [None] | — |
+| 3 | +0.0002 | 2601 | 14.26 | 8≥* 2* | 10≥ | 0.026 | — | — | — | 5.496 | -1.856 | [None, None] | — |
+| 4 | -0.0037 | 2554 | 18.66 | 8≥* 1* | 9≥ | 0.012 | — | — | — | 0.229 | 0.067 | [None, None] | — |
+| 5 | +0.0011 | 2540 | 16.38 | 7* 4* | 11 | 0.015 | — | — | — | 0.515 | -0.407 | [None, None] | — |
+| 6 | +0.0014 | 2538 | 15.78 | 7* | 7 | 0.007 | — | — | — | 0.817 | 0.247 | [None] | — |
+| 7 | +0.0022 | 2541 | 20.87 | 3* | 3 | 0.010 | — | — | — | 0.675 | 0.081 | [None] | — |
+| 8 | +0.0008 | 2531 | 16.18 | 7* | 7 | 0.010 | — | — | — | -0.314 | -0.032 | [None] | — |
+| 9 | -0.0020 | 2529 | 15.32 | 3* 1* | 4 | 0.003 | — | — | — | 0.430 | -0.027 | [None, None] | — |
+| 10 | -0.0008 | 2519 | 13.88 | 2* | 2 | 0.002 | — | — | — | -0.274 | -0.004 | [None] | — |
+| 11 | -0.0004 | 2523 | 15.73 | 4* | 4 | 0.005 | — | — | — | 0.940 | 0.222 | [None] | — |
+
+### Compact-module atlas (Fisher, certified width ≤ 6)
+
+No certified compact module (width ≤ 6) in this model.
+
+**Single-position replication** (intervene at the penultimate position only, read the final-token loss; the harness of `evaluate.py`). Ablation share = ΔL(ablate stable subspace)/ΔL(full write); negative = removing the reproducible subspace lowers loss. "helped" = fraction of positions whose loss drops.
+
+| layer | ΔL full | Fisher: D | ablate share (all-pos) | S_replace | random matched-energy | helped | ΔL by clean-loss quartile (Q1..Q4) | L2: D | ablate share (all-pos) | S_replace | random |
+| ---: | ---: | ---: | ---: | ---: | ---: | ---: | --- | ---: | ---: | ---: | ---: |
+| 0 | +0.0079 | 7 | -0.050 (0.04) | -0.043 | -0.076 | 0.51 | [0.0004, 0.0002, -0.0013, -0.0008] | 15 | -0.064 (1.11) | -0.044 | -0.166 |
+| 1 | +0.0013 | 9 | 0.028 (0.09) | 0.000 | -0.152 | 0.47 | [0.001, 0.0002, -0.0002, -0.0008] | 15 | -0.252 (0.26) | -0.404 | -0.304 |
+| 2 | -0.0063 | 8 | -0.061 (-0.32) | -0.051 | 0.033 | 0.48 | [-0.0, 0.0005, -0.0004, 0.0015] | 8 | -0.010 (0.44) | -0.003 | 0.032 |
+| 3 | +0.0042 | 9 | 0.306 (-4.10) | 0.312 | 0.033 | 0.45 | [0.0007, 0.0015, 0.0015, 0.0015] | 10 | 0.241 (-7.18) | 0.226 | 0.061 |
+| 4 | +0.0001 | 7 | 0.170 (-0.11) | 1.146 | -2.224 | 0.51 | [-0.0005, 0.0003, 0.0003, -0.0] | 9 | 2.316 (0.02) | 3.925 | -3.618 |
+| 5 | -0.0030 | 10 | -0.160 (-0.42) | -0.166 | 0.029 | 0.48 | [0.0001, -0.0007, 0.0011, 0.0014] | 11 | -0.003 (-0.80) | -0.010 | 0.033 |
+| 6 | +0.0025 | 7 | 0.031 (0.26) | 0.030 | 0.043 | 0.50 | [-0.0004, 0.0003, -0.0002, 0.0006] | 7 | 0.220 (0.33) | 0.232 | 0.049 |
+| 7 | +0.0059 | 2 | 0.048 (0.13) | 0.053 | -0.032 | 0.49 | [-0.0002, 0.0009, 0.0002, 0.0002] | 3 | 0.017 (0.19) | 0.021 | -0.046 |
+| 8 | -0.0013 | 4 | -0.011 (0.11) | -0.016 | -0.012 | 0.50 | [0.0002, -0.0001, 0.0005, -0.0005] | 7 | -0.037 (0.38) | -0.038 | -0.020 |
+| 9 | -0.0050 | 8 | 0.041 (0.09) | 0.043 | -0.042 | 0.53 | [-0.0002, 0.0001, -0.0005, -0.0003] | 4 | 0.041 (0.07) | 0.042 | -0.024 |
+| 10 | +0.0004 | 3 | -0.369 (-0.13) | -0.367 | 0.129 | 0.53 | [-0.0002, -0.0003, -0.0003, 0.0002] | 2 | -0.114 (-0.00) | -0.123 | 0.071 |
+| 11 | -0.0013 | 4 | -0.092 (0.53) | -0.095 | 0.125 | 0.50 | [-0.0, 0.0004, -0.0, 0.0002] | 4 | -0.094 (0.42) | -0.097 | 0.110 |
+
+Do the Fisher-stable and L2-stable unions span the same directions? Principal cos² in the L2 geometry of the causal-split tokens: L0: 0/7 shared (mean cos² 0.09); L1: 0/9 shared (mean cos² 0.18); L2: 0/8 shared (mean cos² 0.24); L3: 1/9 shared (mean cos² 0.33); L4: 0/7 shared (mean cos² 0.42); L5: 2/10 shared (mean cos² 0.50); L6: 3/7 shared (mean cos² 0.62); L7: 0/2 shared (mean cos² 0.40); L8: 2/4 shared (mean cos² 0.72); L9: 3/4 shared (mean cos² 0.75); L10: 2/2 shared (mean cos² 0.90); L11: 4/4 shared (mean cos² 0.97).
+
+Is the effect a confidence (temperature) knob? Entropy of the clean vs ablated next-token distribution, the single temperature T* that reproduces the ablated entropy from the clean logits, and the loss change that temperature alone produces; ρ = Spearman(mean log-prob change per token, unigram log-frequency) tests a frequency-axis reading.
+
+| layer | metric | D | H clean → ablated | T* | ΔL temperature | ΔL ablation | ρ(Δlogp, log freq) | removal raises log-prob of | removal lowers log-prob of |
+| ---: | --- | ---: | --- | ---: | ---: | ---: | ---: | --- | --- |
+| 0 | fisher | 7 | 10.671 → 10.671 | 1.000 | +0.0000 | -0.0004 | -0.01 | '\\\\' 'TP' ' wheelchair' 'COLOR' ' Teresa' | ' Ret' ' Stan' ' fielder' ' 341' 'What' |
+| 0 | l2 | 15 | 10.671 → 10.671 | 1.000 | +0.0000 | -0.0005 | 0.00 | ' parsing' ' Scalia' ' furthe' ' functioning' 'FP' | ' Boxing' ' manipulation' 'Port' ' Cyborg' ' Throughout' |
+| 1 | fisher | 9 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0000 | 0.01 | 'act' ' crystals' ' Dynamics' 'Qaida' ' dipped' | ' Mau' ' RP' ' donate' ' Am' 'Recently' |
+| 1 | l2 | 15 | 10.671 → 10.671 | 1.000 | -0.0000 | -0.0003 | 0.00 | ' exceptional' 'wagon' ' caveat' ' misinterpret' ' Seeking' | 'r' ' disbanded' 'omp' 'olor' ' flick' |
+| 2 | fisher | 8 | 10.671 → 10.671 | 1.000 | -0.0000 | +0.0004 | 0.00 | ' LCS' ' appraisal' ' premie' '217' ' 550' | 'Eng' ' diagram' ' "\\' 'Stop' ' heal' |
+| 2 | l2 | 8 | 10.671 → 10.671 | 1.000 | -0.0000 | +0.0001 | -0.01 | ' councillors' ' Boyle' 'relevant' ' sulf' ' Pharm' | ' Rue' ' markings' 'ahah' ' Results' ' scaling' |
+| 3 | fisher | 9 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0013 | -0.00 | ' Aether' ' shocks' ' looms' ' Yemeni' 'inkle' | ' researchers' ' deities' ' disband' ' Elias' ' Motors' |
+| 3 | l2 | 10 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0010 | -0.00 | ' Aether' ' Vampire' ' represent' ' Prescott' 'retty' | 'em' ' beginnings' '75' 'humans' ' bloodstream' |
+| 4 | fisher | 7 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0000 | 0.00 | ' Congress' ' roles' ' Gina' 'entric' ' weeks' | 'Emb' ' HI' ' Grand' 'iste' 'engeance' |
+| 4 | l2 | 9 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0001 | 0.00 | ' Tina' ' weeks' ' prompt' ' dir' 'anchez' | ' regretted' ' cohesive' ' Alley' 'Hash' 'itt' |
+| 5 | fisher | 10 | 10.671 → 10.671 | 1.000 | -0.0000 | +0.0005 | -0.00 | 'elines' ' 23' ' Kro' 'payment' 'ulo' | ' Sar' ' Lem' 'raltar' ' Scientology' 'affles' |
+| 5 | l2 | 11 | 10.671 → 10.671 | 1.000 | -0.0000 | +0.0000 | -0.01 | ' coat' ' quiet' ' eleven' ' Cic' '###' | '007' ' reliance' 'appings' ' variations' '506' |
+| 6 | fisher | 7 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0001 | 0.00 | ' Eternity' '655' ' Automatic' ' Bent' ' inc' | ' libraries' 'unity' ' VK' 'User' 'raphics' |
+| 6 | l2 | 7 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0006 | 0.00 | ' complex' 'iro' ' Cheryl' '�' 'alling' | ' exploited' '�' ' appearances' ' libraries' ' insured' |
+| 7 | fisher | 2 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0003 | 0.01 | ' rendering' ' resur' ' Lucas' 'hiro' ' DW' | ' traffic' ' tuna' 'ler' 'giving' ' titles' |
+| 7 | l2 | 3 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0001 | 0.00 | ' Juda' ' Ne' ' rook' ' master' 'uild' | ' Worst' ' Parliamentary' ' dizz' ' purse' ' Requ' |
+| 8 | fisher | 4 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0000 | -0.00 | ' composed' '�' 'Almost' ' weaken' ' trove' | ' endured' 'プ' 'eree' ' bribery' ' Anime' |
+| 8 | l2 | 7 | 10.671 → 10.671 | 1.000 | -0.0000 | +0.0001 | -0.01 | ' 116' ' overpower' ' Budget' '�' ' Scots' | ' work' ' Wag' ' positioning' ' Khe' ' Thorn' |
+| 9 | fisher | 8 | 10.671 → 10.671 | 1.000 | +0.0000 | -0.0002 | 0.01 | ' traveling' '004' ' Cumber' 'amiya' '.}' | ' stretched' ' Survey' ' 269' 'cluded' ' prized' |
+| 9 | l2 | 4 | 10.671 → 10.671 | 1.000 | -0.0000 | -0.0002 | 0.00 | 'umni' ' Ca' ' behaviour' ' palp' 'BI' | ' farther' 'tle' ' sabot' ' Wanted' ' advantages' |
+| 10 | fisher | 3 | 10.671 → 10.671 | 1.000 | +0.0000 | -0.0002 | 0.01 | 'л' 'ensive' ' orbs' ' Baird' ' NASCAR' | 'Men' ' jacket' ' themed' ' streamlined' 'velop' |
+| 10 | l2 | 2 | 10.671 → 10.671 | 1.000 | +0.0000 | -0.0000 | 0.00 | ' explanation' ' relationship' ' Tulsa' ' Scheme' ' Not' | 'rentice' 'ventus' ' records' ' encl' ' Hoover' |
+| 11 | fisher | 4 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0001 | 0.00 | ' Cherokee' ' BL' 'Zero' ' highlighted' 'onut' | ' blockbuster' ' pipes' ' TI' ' buried' 'cgi' |
+| 11 | l2 | 4 | 10.671 → 10.671 | 1.000 | +0.0000 | +0.0001 | 0.00 | ' Cherokee' 'FER' ' salesman' ' BL' ' highlighted' | ' blockbuster' ' TI' ' buried' ' pipes' 'URR' |
+
+## Qwen2.5-0.5B (trained) — 24 layers
+
+### T1 (fisher)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 0 | +8.2540 | 25 | 381.58 | 1* 1* 4* | 6 | 0.584 | 0.118 [0.11, 0.13] | 0.002 | 0.102 | 0.360 | 0.146 | [10, None, None] | — |
+| 1 | +0.2434 | 68 | 181.19 | 1* | 1 | 0.534 | 0.161 [0.14, 0.20] | 0.010 | 0.385 | 0.057 | 0.152 | [1] | 0.952 |
+| 2 | +6.3753 | 141 | 20.13 | 2* 2* 3* | 7 | 0.978 | 0.947 [0.94, 0.95] | 1.075 | 1.351 | 0.956 | 0.947 | [None, None, None] | — |
+| 3 | +5.3986 | 178 | 151.11 | 3* 1* 6* | 10 | 0.973 | 0.958 [0.96, 0.96] | 0.952 | 0.732 | 0.965 | 0.957 | [None, None, None] | — |
+| 4 | +0.1730 | 2229 | 75.33 | 3* 4* | 7 | 0.083 | -0.066 [-0.10, -0.03] | 0.056 | 0.061 | 0.110 | -0.062 | [None, None] | — |
+| 5 | +0.2133 | 1310 | 105.15 | 6* | 6 | 0.134 | 0.162 [0.15, 0.18] | 0.177 | 0.115 | 0.124 | 0.150 | [None] | — |
+| 6 | +0.1373 | 2341 | 120.00 | 4* 3* | 7 | 0.045 | 0.054 [0.05, 0.06] | 0.021 | 0.014 | 0.124 | -0.021 | [None, None] | — |
+| 7 | +0.0919 | 2318 | 127.43 | 8≥* 6* | 14≥ | 0.107 | -0.125 [-0.17, -0.09] | -0.114 | 0.134 | 0.235 | -0.115 | [None, None] | — |
+| 8 | +0.0944 | 2235 | 143.20 | 8≥* 1* | 9≥ | 0.046 | 0.001 [-0.01, 0.01] | 0.038 | 0.057 | 0.281 | 0.103 | [None, None] | — |
+| 9 | +0.0643 | 1985 | 234.68 | 8≥* 2* | 10≥ | 0.050 | -0.151 [-0.18, -0.13] | -0.129 | 0.042 | 0.260 | 0.081 | [None, None] | — |
+| 10 | +0.0677 | 2107 | 218.66 | 8≥* 5* | 13≥ | 0.064 | 0.116 [0.10, 0.13] | 0.191 | 0.022 | 0.321 | 0.060 | [None, None] | — |
+| 11 | +0.0374 | 2081 | 171.08 | 3* 8≥* | 11≥ | 0.045 | 0.004 [-0.01, 0.02] | 0.005 | 0.097 | 0.339 | 0.152 | [None, None] | — |
+| 12 | +0.0362 | 2375 | 169.71 | 8≥* | 8≥ | 0.097 | -0.029 [-0.05, -0.01] | 0.034 | 0.229 | 0.075 | 0.083 | [None] | — |
+| 13 | +0.0208 | 2683 | 43.77 | 5* 3* 2* | 10 | 0.057 | -0.533 [-0.99, -0.31] | 0.157 | 0.137 | -0.833 | -0.770 | [None, None, None] | — |
+| 14 | +0.0512 | 2841 | 100.05 | 8≥* 7* | 15≥ | 0.096 | 0.092 [0.07, 0.11] | 0.064 | 0.096 | 0.255 | -0.051 | [None, None] | — |
+| 15 | +0.0922 | 2825 | 63.56 | 3* 1* | 4 | 0.021 | 0.003 [-0.00, 0.01] | 0.016 | 0.021 | -0.041 | 0.073 | [None, None] | — |
+| 16 | +0.1973 | 2955 | 52.51 | 7* | 7 | 0.079 | 0.054 [0.05, 0.06] | 0.055 | 0.057 | 0.095 | 0.040 | [None] | — |
+| 17 | +0.1123 | 2907 | 39.53 | 4* 1 2* | 6 | 0.029 | -0.104 [-0.12, -0.09] | -0.053 | 0.033 | -0.076 | 0.005 | [None, None] | — |
+| 18 | +0.1180 | 3352 | 30.54 | 3* | 3 | 0.008 | 0.028 [0.02, 0.03] | 0.023 | 0.005 | 0.025 | 0.004 | [None] | — |
+| 19 | +0.1758 | 3106 | 33.03 | 3* 3* 2* 1* 2* | 11 | 0.038 | -0.036 [-0.05, -0.02] | -0.011 | 0.045 | 0.135 | 0.073 | [None, None, None, 60, None] | — |
+| 20 | +0.2412 | 2300 | 91.35 | 3* 1* 3* | 7 | 0.018 | -0.086 [-0.10, -0.08] | -0.027 | 0.012 | -0.022 | 0.018 | [3, 4, None] | — |
+| 21 | +0.8536 | 175 | 140.01 | 2* 1 | 2 | 0.973 | 0.697 [0.69, 0.71] | 0.548 | 1.820 | 0.702 | 0.574 | [3] | 0.996 |
+| 22 | +0.2297 | 3143 | 11.68 | 5* 3* 2* 1* 1* 2* 3* | 17 | 0.222 | 0.093 [0.08, 0.11] | 0.049 | 0.206 | 0.177 | 0.148 | [36, None, None, None, 62, None, None] | — |
+| 23 | +0.9041 | 1431 | 27.57 | 2* 5* 4* 4* 3* | 18 | 0.562 | 0.443 [0.43, 0.45] | 0.550 | 0.646 | 0.434 | 0.285 | [None, None, None, None, None] | — |
+
+### T1 (l2)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 0 | +8.2540 | 3536 | -34.14 | 8≥* 2* 2* 1* | 13≥ | 0.231 | 0.303 [0.29, 0.31] | 0.145 | 0.033 | 0.443 | 0.164 | [12, 16, 50, 51] | — |
+| 1 | +0.2434 | 4276 | 49.38 | 6* 3* 1 | 9 | 0.082 | 0.221 [0.20, 0.26] | 0.188 | 0.107 | 0.173 | 0.193 | [42, 5] | 0.028 |
+| 2 | +6.3753 | 17 | 71.03 | 8≥* 1* 8≥ 1 1 1 2 2 | 9≥ | 0.998 | 0.947 [0.94, 0.95] | 1.046 | 1.343 | 0.960 | 0.946 | [13, 2] | -0.001 |
+| 3 | +5.3986 | 16 | 240.24 | 8≥* 4 8≥ 2 2 1 | 8≥ | 0.998 | 0.959 [0.96, 0.96] | 0.948 | 0.873 | 0.961 | 0.957 | [10] | — |
+| 4 | +0.1730 | 4179 | 46.33 | 8≥* 3* 4* 1 1 | 15≥ | 0.086 | -0.068 [-0.12, -0.02] | -0.029 | 0.085 | 0.200 | -0.070 | [9, 9, 5] | — |
+| 5 | +0.2133 | 2236 | 291.47 | 8≥* 1* 2* 1* 1* 2* 1 | 15≥ | 0.301 | 0.179 [0.16, 0.19] | 0.145 | 0.294 | 0.261 | 0.147 | [8, 3, 3, 2, 29, 12] | 0.881 |
+| 6 | +0.1373 | 4266 | 0.89 | 7* 2* 2* 1* | 12 | 0.043 | 0.027 [0.02, 0.04] | 0.010 | 0.017 | 0.197 | 0.067 | [9, 2, 29, None] | 0.086 |
+| 7 | +0.0919 | 4192 | 20.66 | 4* 2* 8≥* 6* 2 | 20≥ | 0.066 | 0.002 [-0.03, 0.03] | 0.010 | 0.100 | 0.236 | 0.060 | [6, 8, 60, 46] | 41.446 |
+| 8 | +0.0944 | 4352 | 63.68 | 8≥* 7* 2* 1* 1* 1* | 20≥ | 0.069 | 0.116 [0.09, 0.13] | 0.093 | 0.083 | 0.347 | 0.086 | [None, None, None, None, None, None] | — |
+| 9 | +0.0643 | 4145 | 38.76 | 8≥* 1* 3 2 2 | 9≥ | 0.090 | 0.021 [0.00, 0.04] | 0.074 | 0.092 | 0.251 | 0.011 | [None, 44] | — |
+| 10 | +0.0677 | 4149 | 20.36 | 8≥* 8≥ 2 4 1* | 9≥ | 0.099 | 0.118 [0.10, 0.13] | 0.169 | 0.047 | 0.288 | 0.089 | [None, 61] | — |
+| 11 | +0.0374 | 3405 | 2.10 | 8≥ 8≥* 8≥* 5* 7* 4* 2* | 34≥ | 0.146 | 0.087 [0.06, 0.11] | 0.058 | 0.297 | 0.399 | 0.136 | [11, 29, 42, None, None, None] | — |
+| 12 | +0.0362 | 4114 | 28.28 | 2* 1* 8≥* 5* | 16≥ | 0.072 | 0.178 [0.14, 0.21] | 0.256 | 0.190 | 0.151 | 0.096 | [64, None, None, None] | — |
+| 13 | +0.0208 | 3909 | -21.36 | 8≥* 1* | 9≥ | 0.095 | -0.716 [-1.40, -0.41] | 0.044 | 0.289 | -0.847 | -0.726 | [None, 3] | — |
+| 14 | +0.0512 | 3984 | -5.84 | 8≥* 2* 2 | 10≥ | 0.057 | 0.122 [0.10, 0.14] | 0.041 | 0.060 | 0.300 | 0.117 | [44, 35] | — |
+| 15 | +0.0922 | 3764 | 52.38 | 8≥* 4* 2 4 2 | 12≥ | 0.094 | 0.048 [0.03, 0.06] | 0.039 | 0.110 | 0.097 | 0.045 | [10, 38] | — |
+| 16 | +0.1973 | 3557 | 0.62 | 8≥* 2* 5* 1* | 16≥ | 0.130 | 0.103 [0.09, 0.11] | 0.102 | 0.117 | 0.170 | 0.067 | [17, 55, 27, 25] | — |
+| 17 | +0.1123 | 3656 | 160.98 | 8≥* 4* 4* 1* 2* 1 | 19≥ | 0.077 | 0.008 [-0.01, 0.03] | 0.061 | 0.092 | 0.058 | 0.060 | [8, 5, 8, 11, 5] | 2.869 |
+| 18 | +0.1180 | 4068 | 20.38 | 8≥* 4* | 12≥ | 0.041 | 0.002 [-0.01, 0.01] | 0.007 | 0.033 | 0.215 | -0.019 | [10, 6] | 6.363 |
+| 19 | +0.1758 | 3644 | 189.58 | 8≥* 8≥* 4* 1 1* 2* | 23≥ | 0.102 | 0.101 [0.09, 0.11] | 0.082 | 0.128 | 0.142 | 0.126 | [12, 17, 22, 9, 13] | — |
+| 20 | +0.2412 | 1756 | 471.23 | 4* 1* 1* 1* 1* 1* 1 2* | 11 | 0.077 | 0.083 [0.08, 0.09] | 0.069 | 0.075 | 0.050 | 0.015 | [4, 1, 23, 1, 17, 18, 38] | 0.127 |
+| 21 | +0.8536 | 48 | 430.93 | 8≥* 2* 1* 6* 3 1 | 17≥ | 0.993 | 0.733 [0.72, 0.74] | 0.599 | 2.563 | 0.706 | 0.715 | [14, 2, 1, 14] | 0.000 |
+| 22 | +0.2297 | 3418 | 17.95 | 8≥* 4* 8≥* 6* 1 2* 5 2 | 28≥ | 0.304 | 0.104 [0.09, 0.12] | 0.059 | 0.316 | 0.237 | 0.145 | [11, 14, 19, 33, 19] | — |
+| 23 | +0.9041 | 1721 | 93.23 | 8≥* 7* 8≥ 8≥ 8≥ 5 7 5 | 15≥ | 0.630 | 0.333 [0.32, 0.34] | 0.213 | 0.817 | 0.412 | 0.185 | [44, None] | — |
+
+### Compact-module atlas (Fisher, certified width ≤ 6)
+
+| layer | first mode | K | width s* | excess/edge | loss recovered exact / sparse | ablate ΔL | mass-matched neurons ΔL | random matched-norm ΔL | KL∝d² R² | top unembedding tokens |
+| ---: | ---: | ---: | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- |
+| 1 | 0 | 1 | 1 | 181.2 | 0.161 / 0.153 | +0.0023 | +0.0088 | +0.1297 | 0.99 | ');\n\n\n\n\n' ')$_' '."/' '|r' 'allis' ",'#" |
+| 20 | 0 | 3 | 3 | 40.1 | 0.002 / 0.002 | +0.0002 | +0.0050 | +0.0011 | 1.00 | 'fen' 'bian' 'QUE' 'NSNotificationCenter' ' piece' 'xin' |
+| 20 | 4 | 1 | 4 | 6.3 | -0.016 / -0.016 | -0.0001 | +0.0056 | -0.0002 | 1.00 | ' singles' 'isle' 'ráf' ' Instruments' ' Instrument' ' GPLv' |
+| 21 | 0 | 2 | 3 | 29.6 | 0.697 / 0.694 | +0.4676 | +0.4604 | +0.8776 | 0.60 | 'ascus' '🏽' 'aison' '傒' '牵' 'ListComponent' |
+
+**Single-position replication** (intervene at the penultimate position only, read the final-token loss; the harness of `evaluate.py`). Ablation share = ΔL(ablate stable subspace)/ΔL(full write); negative = removing the reproducible subspace lowers loss. "helped" = fraction of positions whose loss drops.
+
+| layer | ΔL full | Fisher: D | ablate share (all-pos) | S_replace | random matched-energy | helped | ΔL by clean-loss quartile (Q1..Q4) | L2: D | ablate share (all-pos) | S_replace | random |
+| ---: | ---: | ---: | ---: | ---: | ---: | ---: | --- | ---: | ---: | ---: | ---: |
+| 0 | +4.5641 | 6 | 0.000 (0.00) | 0.015 | 0.000 | 0.51 | [0.0026, -0.005, 0.0119, -0.0044] | 13 | 0.169 (0.15) | 0.497 | 0.022 |
+| 1 | +0.1081 | 1 | 0.001 (0.01) | -0.017 | 0.000 | 0.49 | [0.0002, 0.0006, 0.0007, -0.0011] | 9 | -0.055 (0.19) | -0.074 | 0.038 |
+| 2 | +0.1775 | 7 | 0.141 (1.08) | 0.146 | -0.004 | 0.49 | [0.0521, 0.0211, 0.0151, 0.0117] | 9 | 0.022 (1.05) | -0.019 | -0.004 |
+| 3 | +0.1437 | 10 | 0.057 (0.95) | 0.090 | -0.001 | 0.50 | [0.0051, 0.0078, 0.0089, 0.0111] | 8 | -0.009 (0.95) | 0.019 | 0.018 |
+| 4 | +0.0893 | 7 | 0.084 (0.06) | 0.072 | 0.004 | 0.51 | [0.0162, 0.0101, 0.0061, -0.0025] | 15 | 0.005 (-0.03) | 0.002 | 0.037 |
+| 5 | +0.0972 | 6 | 0.022 (0.18) | 0.014 | 0.001 | 0.45 | [0.0005, 0.0014, 0.0074, -0.0007] | 15 | 0.034 (0.14) | 0.023 | 0.015 |
+| 6 | +0.0705 | 7 | -0.073 (0.02) | 0.021 | -0.006 | 0.52 | [0.0089, 0.0104, 0.0064, -0.046] | 12 | -0.086 (0.01) | -0.107 | 0.000 |
+| 7 | +0.0427 | 14 | -0.073 (-0.11) | 0.031 | 0.011 | 0.51 | [0.0085, 0.0101, 0.0084, -0.0393] | 20 | 0.045 (0.01) | -0.022 | 0.078 |
+| 8 | +0.0208 | 9 | -0.140 (0.04) | -0.062 | 0.032 | 0.51 | [-0.0001, -0.0005, -0.0005, -0.0107] | 20 | 0.352 (0.09) | 0.437 | 0.206 |
+| 9 | +0.0189 | 10 | -0.471 (-0.13) | -0.659 | -0.014 | 0.52 | [-0.0, -0.0008, -0.0002, -0.0345] | 9 | -0.151 (0.07) | -0.459 | 0.038 |
+| 10 | +0.0389 | 13 | 0.149 (0.19) | 0.110 | -0.034 | 0.49 | [0.0027, 0.0059, 0.004, 0.0106] | 9 | 0.267 (0.17) | 0.230 | -0.068 |
+| 11 | +0.0282 | 11 | 0.152 (0.01) | 0.131 | 0.018 | 0.51 | [-0.0022, 0.0013, 0.002, 0.0161] | 34 | 0.271 (0.06) | 0.139 | 0.116 |
+| 12 | +0.0277 | 8 | 0.076 (0.03) | 0.014 | 0.011 | 0.50 | [0.0002, 0.0005, -0.0007, 0.0083] | 16 | 0.301 (0.26) | 0.323 | 0.077 |
+| 13 | +0.0053 | 10 | -0.275 (0.16) | -1.566 | -0.001 | 0.51 | [0.001, -0.0002, -0.0019, -0.0047] | 9 | -0.770 (0.04) | -3.446 | 0.356 |
+| 14 | +0.0172 | 15 | 0.301 (0.06) | 0.407 | 0.060 | 0.47 | [0.0019, 0.0033, 0.0038, 0.0117] | 10 | 0.095 (0.04) | 0.329 | 0.178 |
+| 15 | +0.0936 | 4 | 0.019 (0.02) | 0.035 | -0.002 | 0.48 | [0.0007, 0.0039, -0.0003, 0.003] | 12 | 0.016 (0.04) | 0.062 | 0.041 |
+| 16 | +0.1788 | 7 | -0.000 (0.06) | -0.034 | 0.003 | 0.46 | [0.0014, 0.0043, 0.0129, -0.0187] | 16 | 0.122 (0.10) | 0.077 | 0.070 |
+| 17 | +0.1141 | 6 | -0.056 (-0.05) | -0.061 | 0.009 | 0.50 | [0.0011, 0.0019, 0.0025, -0.0307] | 19 | 0.054 (0.06) | -0.002 | 0.064 |
+| 18 | +0.1268 | 3 | 0.023 (0.02) | 0.027 | -0.004 | 0.46 | [-0.0001, 0.001, 0.0007, 0.0102] | 12 | 0.013 (0.01) | 0.005 | -0.004 |
+| 19 | +0.1519 | 11 | -0.009 (-0.01) | -0.061 | 0.023 | 0.49 | [0.0067, -0.0003, 0.0072, -0.0192] | 23 | 0.190 (0.08) | 0.226 | 0.164 |
+| 20 | +0.2737 | 7 | -0.020 (-0.03) | -0.061 | -0.002 | 0.53 | [-0.0005, 0.0025, -0.0031, -0.021] | 11 | 0.054 (0.07) | 0.068 | 0.021 |
+| 21 | +0.3123 | 2 | 0.001 (0.55) | 0.002 | 0.001 | 0.51 | [-0.0003, 0.0, 0.0002, 0.0012] | 17 | 0.085 (0.60) | 0.080 | 0.099 |
+| 22 | +0.2479 | 17 | 0.054 (0.05) | 0.124 | 0.176 | 0.50 | [-0.0003, 0.0013, 0.0268, 0.026] | 28 | 0.059 (0.06) | 0.116 | 0.248 |
+| 23 | +0.9246 | 18 | 0.531 (0.55) | 0.430 | 0.500 | 0.40 | [0.0421, 0.2297, 0.5123, 1.1792] | 15 | 0.185 (0.21) | 0.319 | 0.788 |
+
+Do the Fisher-stable and L2-stable unions span the same directions? Principal cos² in the L2 geometry of the causal-split tokens: L0: 2/6 shared (mean cos² 0.29); L1: 0/1 shared (mean cos² 0.46); L2: 1/7 shared (mean cos² 0.17); L3: 1/8 shared (mean cos² 0.20); L4: 1/7 shared (mean cos² 0.24); L5: 2/6 shared (mean cos² 0.34); L6: 0/7 shared (mean cos² 0.10); L7: 0/14 shared (mean cos² 0.15); L8: 0/9 shared (mean cos² 0.12); L9: 0/9 shared (mean cos² 0.04); L10: 1/9 shared (mean cos² 0.22); L11: 0/11 shared (mean cos² 0.26); L12: 0/8 shared (mean cos² 0.14); L13: 1/9 shared (mean cos² 0.12); L14: 0/10 shared (mean cos² 0.18); L15: 0/4 shared (mean cos² 0.19); L16: 1/7 shared (mean cos² 0.27); L17: 4/6 shared (mean cos² 0.72); L18: 1/3 shared (mean cos² 0.44); L19: 3/11 shared (mean cos² 0.34); L20: 3/7 shared (mean cos² 0.52); L21: 1/2 shared (mean cos² 0.80); L22: 14/17 shared (mean cos² 0.84); L23: 4/15 shared (mean cos² 0.46).
+
+Is the effect a confidence (temperature) knob? Entropy of the clean vs ablated next-token distribution, the single temperature T* that reproduces the ablated entropy from the clean logits, and the loss change that temperature alone produces; ρ = Spearman(mean log-prob change per token, unigram log-frequency) tests a frequency-axis reading.
+
+| layer | metric | D | H clean → ablated | T* | ΔL temperature | ΔL ablation | ρ(Δlogp, log freq) | removal raises log-prob of | removal lowers log-prob of |
+| ---: | --- | ---: | --- | ---: | ---: | ---: | ---: | --- | --- |
+| 0 | fisher | 6 | 2.916 → 2.920 | 1.001 | -0.0001 | +0.0013 | 0.02 | ' <!--[' '.WriteByte' ' settings' '.SingleOrDefault' ' Adults' | 'time' 'cent' 'stage' 'point' 'place' |
+| 0 | l2 | 13 | 2.916 → 3.255 | 1.058 | -0.0003 | +0.7714 | -0.02 | 'ored' 'ing' 'ined' 'ent' 'amed' | '.getAs' '.getLabel' '.getProject' '.getSelectionModel' '疖' |
+| 1 | fisher | 1 | 2.916 → 2.916 | 1.000 | -0.0000 | +0.0001 | 0.00 | '盅' '_gem' ' ip' ' POLIT' ' CORPOR' | ',' '*****/\n' '.' 'nut' '-' |
+| 1 | l2 | 9 | 2.916 → 2.917 | 1.000 | -0.0001 | -0.0059 | -0.05 | '@\n\n' 'artisan' ',)\n' 'htag' ',"\n' | '⽅' ' backed' '取决' '乘用车' '涵盖' |
+| 2 | fisher | 7 | 2.916 → 2.934 | 1.003 | -0.0005 | +0.0250 | -0.05 | '(h' 'bose' '(J' 'pir' '(H' | '@' ' @$_' ']-$' ' potrà' '@\\' |
+| 2 | l2 | 9 | 2.916 → 2.919 | 1.001 | -0.0001 | +0.0039 | 0.03 | 'arget' '/*@' 'alyze' '팅' ' normalize' | '却被' '(INFO' '又被' '艰' 'Verse' |
+| 3 | fisher | 10 | 2.916 → 2.921 | 1.001 | -0.0002 | +0.0083 | -0.08 | 'cho' 'Match' 'can' 'II' 'Can' | ' Week' ' STDERR' ' Lesson' ' Advertisement' ' weekday' |
+| 3 | l2 | 8 | 2.916 → 2.917 | 1.000 | -0.0000 | -0.0012 | -0.01 | 'its' 'king' 'at' 'ost' 'ance' | '.Queue' '\\n' '/WebAPI' ' definitely' ' reserva' |
+| 4 | fisher | 7 | 2.916 → 2.926 | 1.002 | -0.0003 | +0.0075 | -0.05 | 'eton' ',"\n' ".'," 'hon' '.",\n' | ' mutable' ' Arrays' ' potrà' ' Wireless' ' UPC' |
+| 4 | l2 | 15 | 2.916 → 2.923 | 1.001 | -0.0003 | +0.0004 | -0.10 | 'Can' 'do' 'hab' 'can' ',&' | '/WebAPI' '本网' ' dish' '.optString' '-place' |
+| 5 | fisher | 6 | 2.916 → 2.919 | 1.001 | -0.0001 | +0.0021 | 0.07 | ' \n\n' ' __' ' ______' ' \n' ' \n  \n' | 'pcf' 'pbs' 'estruction' 'mdl' 'bru' |
+| 5 | l2 | 15 | 2.916 → 2.919 | 1.001 | -0.0001 | +0.0033 | 0.06 | 'man' 'capt' 'wik' 'Rom' 'crow' | '.Fecha' '.Nombre' 'を与え' ' derail' ' endors' |
+| 6 | fisher | 7 | 2.916 → 2.931 | 1.003 | -0.0005 | -0.0051 | 0.03 | '，\n\n' '，\n' '_,\n' ',\n\n' ' *,' | ' ohio' ' Patty' 'klä' ' underst' ' vegas' |
+| 6 | l2 | 12 | 2.916 → 2.928 | 1.002 | -0.0004 | -0.0061 | 0.03 | 'apsed' 'our' 'ngth' 'zero' 'round' | '给他' '([...' '_list' '设计' '"context' |
+| 7 | fisher | 14 | 2.916 → 2.937 | 1.004 | -0.0006 | -0.0031 | 0.05 | ' [],\n' ' __' '，\n\n' ',\n\n' '_,\n' | 'klä' 'dana' '-write' '-us' '-normal' |
+| 7 | l2 | 20 | 2.916 → 2.922 | 1.001 | -0.0002 | +0.0019 | 0.23 | ' ,' ' .\n' ' :\n\n' ' ,\n\n' ' ,\n' | '"user' '@api' "]+'" '"path' '";\r\n' |
+| 8 | fisher | 9 | 2.916 → 2.918 | 1.000 | -0.0001 | -0.0029 | -0.03 | '[--' ' tabIndex' '江县' ' autoFocus' ' setHidden' | 'о' 'iran' 'us' "!'\n" 'awns' |
+| 8 | l2 | 20 | 2.916 → 2.920 | 1.001 | -0.0001 | +0.0073 | 0.03 | 'тельный' '首轮' "'=>['" '((&' '天府' | 'ovi' 'phan' 'ément' 'ov' '的语言' |
+| 9 | fisher | 10 | 2.916 → 2.921 | 1.001 | -0.0002 | -0.0089 | 0.02 | '|,\n' ' !=\n' '!,\n' ' —\n\n' ' ↓' | '生成' ' peux' '给她' ' Generate' '就把' |
+| 9 | l2 | 9 | 2.916 → 2.919 | 1.000 | -0.0001 | -0.0029 | -0.03 | ' interests' '腠' 'ôt' 'ActivityCreated' 'inis' | '*****/\n' "'''\r\n" '"""\r\n' '**\r\n' '=";\n' |
+| 10 | fisher | 13 | 2.916 → 2.921 | 1.001 | -0.0002 | +0.0058 | -0.06 | 'ishing' 'pat' 'bestos' 'imo' 'acking' | ' modalità' '_saida' '"""\n' ',},\n' '"""\r\n' |
+| 10 | l2 | 9 | 2.916 → 2.915 | 1.000 | +0.0000 | +0.0104 | -0.08 | '!</' ' *</' '��이' "!');\n" '*</' | 'ismic' 'ooks' 'omaly' 'als' 'uger' |
+| 11 | fisher | 11 | 2.916 → 2.905 | 0.998 | +0.0003 | +0.0043 | 0.10 | ' removeFromSuperview' 'cek' ');}\n\n' 'yped' 'stä' | '先' '直接' '或者' '建设' '发展阶段' |
+| 11 | l2 | 34 | 2.916 → 2.914 | 1.000 | +0.0000 | +0.0076 | 0.09 | 'Choices' 'Cod' 'Slow' 'ken' ' Clay' | 'orgt' '欢迎大家' '办事处' '监听' ' <+' |
+| 12 | fisher | 8 | 2.916 → 2.913 | 1.000 | +0.0000 | +0.0021 | 0.04 | '()]);\n' 'however' '?"\n' '?")\n' 'oth' | '电厂' '火烧' '就' '第一个' '公开' |
+| 12 | l2 | 16 | 2.916 → 2.917 | 1.000 | -0.0001 | +0.0083 | 0.07 | '?")\n' 'XYZ' '|$' '?</' '?"\n' | '俟' '总局' ' paddingRight' "'].'/" '一点儿' |
+| 13 | fisher | 10 | 2.916 → 2.913 | 0.999 | +0.0001 | -0.0015 | -0.14 | ' bureaucr' ' diapers' '.She' ' Gros' '.").' | '["$' '[];\r\n' 'outh' ' b' ',copy' |
+| 13 | l2 | 9 | 2.916 → 2.919 | 1.001 | -0.0001 | -0.0041 | -0.12 | '!<' '!\\' ".'," '.",' '.",\n' | ' hero' '.decor' ' gold' '收' ' task' |
+| 14 | fisher | 15 | 2.916 → 2.907 | 0.998 | +0.0003 | +0.0052 | 0.02 | ' \u200b\u200b' ' Zo' ' Assange' 'nard' '轭' | '褰' 'dbname' 'ENTER' 'challenge' 'latex' |
+| 14 | l2 | 10 | 2.916 → 2.932 | 1.003 | -0.0005 | +0.0016 | -0.09 | ':");\n\n' 'klä' '”:' '!");' '?";\n' | '就觉得' '燕' ' станов' '绵' '游' |
+| 15 | fisher | 4 | 2.916 → 2.920 | 1.001 | -0.0002 | +0.0018 | 0.00 | '人死亡' ' ).\n\n' ' )\n\n' ' ).' ' ")\n\n' | '…\n' '-' '–' '---\n' '(requestCode' |
+| 15 | l2 | 12 | 2.916 → 2.929 | 1.002 | -0.0004 | +0.0015 | 0.09 | '.MouseAdapter' ' :' ' ,' ' Sik' ' Chim' | '&)\n' '{})\n' '[])\r\n' '...")\n' '[])\n' |
+| 16 | fisher | 7 | 2.916 → 2.918 | 1.000 | -0.0001 | -0.0001 | 0.18 | ' inter' ' main' ' bran' ' action' ' br' | '。\r\n' '**\r\n' '英' '"\r\n\r\n\r\n' '点' |
+| 16 | l2 | 16 | 2.916 → 2.946 | 1.005 | -0.0009 | +0.0219 | 0.26 | ' ``' ' four' " '" ' three' ' later' | '"):\n' '-----\n' '!");\n' "}');\n" '"):\r\n' |
+| 17 | fisher | 6 | 2.916 → 2.926 | 1.002 | -0.0003 | -0.0063 | 0.05 | ':@"%@",' ' scare' ' splash' ' rubber' ' longest' | ' 。' ' 的' ' )' ' )\n' " ')\n" |
+| 17 | l2 | 19 | 2.916 → 2.972 | 1.010 | -0.0015 | +0.0062 | -0.09 | 'own' 'light' 'one' 'finally' 'take' | '<=$' ' fileType' ' *)"' ' [,' ' -*-\r\n' |
+| 18 | fisher | 3 | 2.916 → 2.913 | 1.000 | +0.0001 | +0.0030 | -0.00 | ' balcon' 'Studio' 'iddy' ' balcony' 'Zone' | ' اللي' 'ienie' '有多少' 'Does' ' września' |
+| 18 | l2 | 12 | 2.916 → 2.926 | 1.002 | -0.0003 | +0.0017 | 0.08 | ' ]' ' ]]' ' (),' ' ,' ' ],' | ' APS' ' irrig' 'سع' ' pierced' ' xpos' |
+| 19 | fisher | 11 | 2.916 → 2.928 | 1.002 | -0.0004 | -0.0014 | 0.01 | ' drives' ' starts' ' catches' ' pays' ' lifts' | '嘞' 'ичес' '均由' 'argc' 'pageNum' |
+| 19 | l2 | 23 | 2.916 → 2.949 | 1.006 | -0.0009 | +0.0289 | 0.11 | '2' '4' '1' '9' '8' | ' "' '"' ' "--' '："' ' "-' |
+| 20 | fisher | 7 | 2.916 → 2.918 | 1.000 | -0.0001 | -0.0055 | 0.04 | 'air' 'flight' 'AIR' '(OS' 'BootApplication' | ' Each' ' That' ' Along' '这笔' ' Called' |
+| 20 | l2 | 11 | 2.916 → 2.937 | 1.004 | -0.0006 | +0.0147 | 0.18 | ' During' ' That' ' Each' ' Once' ' For' | '.baomidou' 'XMLLoader' '][]' 'ONGLONG' '.alibaba' |
+| 21 | fisher | 2 | 2.916 → 2.916 | 1.000 | -0.0000 | +0.0003 | -0.04 | ' &\n' '&\n' ' [("' 'nant' ' ../../' | ' Machine' 'comments' '-marker' 'bindings' 'rac' |
+| 21 | l2 | 17 | 2.916 → 2.917 | 1.000 | -0.0001 | +0.0266 | 0.05 | ' pitch' ' pitching' 'Pitch' '_pitch' 'ies' | 'เผย' ' Código' '�' '.CODE' 'getDisplay' |
+| 22 | fisher | 17 | 2.916 → 2.833 | 0.985 | +0.0032 | +0.0135 | 0.07 | ' hunter' ' Bris' ' helfen' ' Hunter' ' Nob' | '!",' '!"\n' '!")\r\n' '!"\n\n' "!'," |
+| 22 | l2 | 28 | 2.916 → 2.862 | 0.990 | +0.0019 | +0.0145 | 0.11 | ' Hunter' ' Nob' ' Kal' ' Chris' ' hunter' | ',...\n\n' ">';\n\n" '()=>' ',...\n' ' "}";\n' |
+| 23 | fisher | 18 | 2.916 → 2.070 | 0.834 | +0.1214 | +0.4911 | 0.51 | ' ' '1' '2' '3' '5' | ' gridColumn' ',readonly' ' blackColor' ':uint' '*>*' |
+| 23 | l2 | 15 | 2.916 → 2.705 | 0.962 | +0.0110 | +0.1712 | 0.47 | '1' '2' '8' '9' '5' | ',readonly' ' gridColumn' ' blackColor' ';};\n' ' whiteColor' |
+
+**SAE bridge, layer 14** (1792 SAE latents active on the evaluation split; 0 reproducible at decoder cosine ≥ 0.9 in all 12 refits)
+
+| stable-subspace fraction | AUC reproducible vs not | median frac. reproducible | median frac. not | Spearman ρ with #matching refits |
+| --- | ---: | ---: | ---: | ---: |
+| fisher_blocks | — | — | 0.001 | -0.099 |
+| l2_analogue | — | — | 0.000 | 0.183 |
+| random_subspace_same_D | — | — | 0.001 | -0.069 |
+
+| C | fcm_fisher | fcm_l2 | sae | pca | mass_neurons |
+| ---: | ---: | ---: | ---: | ---: | ---: |
+| 1 | 0.000 | 0.001 | 0.016 | 0.212 | 0.087 |
+| 2 | 0.110 | 0.028 | 0.017 | 0.172 | 0.107 |
+| 4 | 0.167 | 0.030 | 0.017 | 0.167 | 0.049 |
+| 8 | 0.081 | 0.121 | 0.017 | 0.263 | -0.053 |
+| 16 | 0.072 | 0.096 | 0.112 | 0.284 | -0.049 |
+| 32 | 0.146 | 0.150 | 0.009 | 0.264 | -0.015 |
+| 64 | 0.178 | 0.100 | 0.112 | 0.401 | 0.069 |
+
+Reproducibility-weighted: fisher_qualifying_blocks_D15: 0.113
+
+**SAE bridge, layer 14** (1792 SAE latents active on the evaluation split; 40 reproducible at decoder cosine ≥ 0.8 in all 12 refits)
+
+| stable-subspace fraction | AUC reproducible vs not | median frac. reproducible | median frac. not | Spearman ρ with #matching refits |
+| --- | ---: | ---: | ---: | ---: |
+| fisher_blocks | 0.340 | 0.001 | 0.001 | -0.008 |
+| l2_analogue | 0.869 | 0.001 | 0.000 | 0.256 |
+| random_subspace_same_D | 0.416 | 0.001 | 0.001 | -0.014 |
+
+| C | fcm_fisher | fcm_l2 | sae | pca | mass_neurons |
+| ---: | ---: | ---: | ---: | ---: | ---: |
+| 1 | 0.000 | 0.001 | 0.016 | 0.212 | 0.087 |
+| 2 | 0.110 | 0.028 | 0.017 | 0.172 | 0.107 |
+| 4 | 0.167 | 0.030 | 0.017 | 0.167 | 0.049 |
+| 8 | 0.081 | 0.121 | 0.017 | 0.263 | -0.053 |
+| 16 | 0.072 | 0.096 | 0.112 | 0.284 | -0.049 |
+| 32 | 0.146 | 0.150 | 0.009 | 0.264 | -0.015 |
+| 64 | 0.178 | 0.100 | 0.112 | 0.401 | 0.069 |
+
+Reproducibility-weighted: sae_reproducible_top1: 0.005, sae_reproducible_top2: 0.008, sae_reproducible_top4: 0.027, sae_reproducible_top8: 0.030, sae_reproducible_top16: 0.039, sae_reproducible_top32: 0.055, fisher_qualifying_blocks_D15: 0.113
+
+## GPT-2 half-N replicate — 3 layers
+
+### T1 (fisher)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 2 | +0.1937 | 915 | 65.56 | 6* | 6 | 0.772 | 0.628 [0.61, 0.65] | 1.767 | 1.775 | 0.767 | 0.695 | [None] | — |
+| 6 | +0.0436 | 1972 | 45.21 | 7* | 7 | 0.030 | -0.233 [-0.30, -0.18] | -0.149 | -0.019 | 0.403 | -0.050 | [None] | — |
+| 10 | +0.0469 | 1825 | 21.20 | 3* 1* | 4 | 0.002 | 0.006 [0.00, 0.01] | -0.002 | 0.003 | 0.093 | -0.428 | [8, None] | -0.436 |
+
+### T1 (l2)
+
+| layer | ΔL full (nats/tok) | eff. rank | mode-1 excess / noise edge | closed blocks K (* = qualifies; ≥ = hit the K_max cap) | qualifying D | norm share | S_replace = loss recovered [CI95] | S_ablate = ΔL(ablate stable)/ΔL full | random matched-norm ablate | PCA-D | top-D mass neurons | certified widths | W (sparse share of S) |
+| ---: | ---: | ---: | ---: | --- | ---: | ---: | --- | ---: | ---: | ---: | ---: | --- | ---: |
+| 2 | +0.1937 | 25 | 252.39 | 8≥* 8≥ 5 2 | 8≥ | 0.998 | 0.665 [0.64, 0.69] | 0.429 | 7.516 | 0.777 | 0.667 | [60] | — |
+| 6 | +0.0436 | 2583 | 36.71 | 8≥* 7* 1* 1* | 17≥ | 0.100 | -0.061 [-0.10, -0.03] | 0.032 | 0.063 | 0.544 | -0.133 | [None, None, None, None] | — |
+| 10 | +0.0469 | 2266 | 33.86 | 7* 8≥* 1 2* 2* | 19≥ | 0.244 | -0.061 [-0.10, -0.03] | 0.283 | 0.786 | -0.219 | 0.024 | [54, None, None, None] | — |
+
+### Compact-module atlas (Fisher, certified width ≤ 6)
+
+No certified compact module (width ≤ 6) in this model.
+
+## Claims
+
+- **C1 (fisher)**: the random-init model has no measurable full-write effect (< 0.02 nats/token) at 12/12 layers, so its causal fractions are suppressed and S separates trained from random trivially. Structurally the models are separated in degree, not in kind: the untrained network also has closed, above-noise collective blocks at every layer, but the trained one has more qualifying directions at 8/12 layers (D trained/random per layer L0: 12/7, L1: 18/9, L2: 8/8, L3: 5/9, L4: 9/7, L5: 10/10, L6: 10/7, L7: 12/2, L8: 8/4, L9: 8/8, L10: 7/3, L11: 11/4); median top-mode excess/edge 61.0 vs 6.4; median effective rank 1823 vs 2497; Fisher gradient-norm IQR/median 0.65 vs 0.06 (borrowed-metric control triggers only above 3×). Closure and effect size alone therefore do not certify learned computation (cf. Heap et al. for SAE metrics); the ~10x gap in effect size and the causal quantities do.
+- **C1 (l2)**: the random-init model has no measurable full-write effect (< 0.02 nats/token) at 12/12 layers, so its causal fractions are suppressed and S separates trained from random trivially. Structurally the models are separated in degree, not in kind: the untrained network also has closed, above-noise collective blocks at every layer, but the trained one has more qualifying directions at 11/12 layers (D trained/random per layer L0: 27/15, L1: 17/15, L2: 8/8, L3: 26/10, L4: 30/9, L5: 28/11, L6: 14/7, L7: 15/3, L8: 19/7, L9: 25/4, L10: 15/2, L11: 22/4); median top-mode excess/edge 68.9 vs 16.0; median effective rank 2285 vs 2541; Fisher gradient-norm IQR/median 0.65 vs 0.06 (borrowed-metric control triggers only above 3×). Closure and effect size alone therefore do not certify learned computation (cf. Heap et al. for SAE metrics); the ~10x gap in effect size and the causal quantities do.
+- **GPT-2 small (trained) / fisher**: qualifying blocks in 12/12 layers; median S 0.047 (range -0.653–0.985); median D 9.5; W available at 0 layers, median —; certified widths [22, 58, 12, 57].
+- **GPT-2 small (trained) / l2**: qualifying blocks in 12/12 layers; median S 0.048 (range -1.069–0.981); median D 20.5; W available at 0 layers, median —; certified widths [28, 60, 44].
+- **GPT-2 small (random init) / fisher**: qualifying blocks in 12/12 layers; median S — (range —–—); median D 7.0; W available at 0 layers, median —; certified widths [].
+- **GPT-2 small (random init) / l2**: qualifying blocks in 12/12 layers; median S — (range —–—); median D 7.5; W available at 0 layers, median —; certified widths [].
+- **Qwen2.5-0.5B (trained) / fisher**: qualifying blocks in 24/24 layers; median S 0.041 (range -0.533–0.958); median D 7.5; W available at 2 layers, median 0.974; certified widths [10, 1, 60, 3, 4, 3, 36, 62].
+- **Qwen2.5-0.5B (trained) / l2**: qualifying blocks in 24/24 layers; median S 0.104 (range -0.716–0.959); median D 14.0; W available at 9 layers, median 0.127; certified widths [12, 16, 50, 51, 42, 5, 13, 2, 10, 9, 9, 5, 8, 3, 3, 2, 29, 12, 9, 2, 29, 6, 8, 60, 46, 44, 61, 11, 29, 42, 64, 3, 44, 35, 10, 38, 17, 55, 27, 25, 8, 5, 8, 11, 5, 10, 6, 12, 17, 22, 9, 13, 4, 1, 23, 1, 17, 18, 38, 14, 2, 1, 14, 11, 14, 19, 33, 19, 44].
+- **GPT-2 half-N replicate / fisher**: qualifying blocks in 3/3 layers; median S 0.006 (range -0.233–0.628); median D 6.0; W available at 1 layers, median -0.436; certified widths [8].
+- **GPT-2 half-N replicate / l2**: qualifying blocks in 3/3 layers; median S -0.061 (range -0.061–0.665); median D 17.0; W available at 0 layers, median —; certified widths [60, 54].
+

results/census/gpt2.log

@@ -0,0 +1,127 @@
+
+2026-09-09 03:40:26 UTC — gpt2: census of layers [8]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+2026-09-09 03:41:22 UTC — gpt2 L8: collected 400,000 fit tokens (56s); GPU 10.3 GB
+2026-09-09 03:43:12 UTC — gpt2 L8: grams + 20-permutation null edge: fisher 0.003398, l2 0.002588 (110s)
+2026-09-09 03:43:26 UTC — gpt2 L8: full-write ablation at all positions: dose 1 loss change +0.0695 nats/token, KL 0.1026
+2026-09-09 03:44:36 UTC — gpt2 L8: fisher: eff.rank 1909; 1 closed blocks (K=[8]), 1 qualify (mean excess/off-edge [27.4]); gaps [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
+2026-09-09 03:44:40 UTC — gpt2 L8: fisher: certified widths [None]
+2026-09-09 03:45:18 UTC — gpt2 L8: fisher: S=0.117 D=8 W_sparse=None widths=[None] (111s)
+2026-09-09 03:46:14 UTC — gpt2 L8: l2: eff.rank 2570; 4 closed blocks (K=[8, 8, 1, 2]), 4 qualify (mean excess/off-edge [25.3, 10.5, 9.2, 3.2]); gaps [17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30]
+2026-09-09 03:46:18 UTC — gpt2 L8: l2: certified widths [None, None, None, None]
+2026-09-09 03:47:12 UTC — gpt2 L8: l2: S=-0.11 D=19 W_sparse=None widths=[None, None, None, None] (115s)
+2026-09-09 03:47:14 UTC — gpt2 L8: done in 407s
+2026-09-09 03:47:14 UTC — gpt2: census complete
+
+2026-09-09 03:47:24 UTC — gpt2: census of layers [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+2026-09-09 03:48:46 UTC — gpt2 L0: collected 400,000 fit tokens (82s); GPU 10.1 GB
+2026-09-09 03:50:36 UTC — gpt2 L0: grams + 20-permutation null edge: fisher 0.00736, l2 0.009133 (110s)
+2026-09-09 03:50:50 UTC — gpt2 L0: full-write ablation at all positions: dose 1 loss change +3.6323 nats/token, KL 4.1689
+2026-09-09 03:52:01 UTC — gpt2 L0: fisher: eff.rank 1140; 3 closed blocks (K=[8, 2, 2]), 3 qualify (mean excess/off-edge [37.3, 18.9, 10.7]); gaps [8, 9, 10, 13, 14, 15, 16, 19, 20, 21, 22, 23]
+2026-09-09 03:52:06 UTC — gpt2 L0: fisher: certified widths [None, None, None]
+2026-09-09 03:52:55 UTC — gpt2 L0: fisher: S=0.344 D=12 W_sparse=None widths=[None, None, None] (124s)
+2026-09-09 03:53:52 UTC — gpt2 L0: l2: eff.rank 1515; 5 closed blocks (K=[8, 8, 1, 8, 2]), 5 qualify (mean excess/off-edge [92.6, 39.4, 10.9, 13.3, 11.2]); gaps [17, 18, 19, 20, 21, 22, 23, 34, 35, 36, 37, 38]
+2026-09-09 03:53:56 UTC — gpt2 L0: l2: certified widths [28, None, None, None, None]
+2026-09-09 03:54:57 UTC — gpt2 L0: l2: S=0.597 D=27 W_sparse=None widths=[28, None, None, None, None] (122s)
+2026-09-09 03:54:57 UTC — gpt2 L0: done in 453s
+2026-09-09 03:56:15 UTC — gpt2 L1: collected 400,000 fit tokens (78s); GPU 10.1 GB
+2026-09-09 03:58:05 UTC — gpt2 L1: grams + 20-permutation null edge: fisher 0.006458, l2 0.0275 (110s)
+2026-09-09 03:58:19 UTC — gpt2 L1: full-write ablation at all positions: dose 1 loss change +1.6381 nats/token, KL 1.6740
+2026-09-09 03:59:31 UTC — gpt2 L1: fisher: eff.rank 1182; 3 closed blocks (K=[8, 8, 2]), 3 qualify (mean excess/off-edge [45.4, 21.4, 17.9]); gaps [18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29]
+2026-09-09 03:59:36 UTC — gpt2 L1: fisher: certified widths [None, None, None]
+2026-09-09 04:00:25 UTC — gpt2 L1: fisher: S=0.985 D=18 W_sparse=None widths=[None, None, None] (126s)
+2026-09-09 04:01:25 UTC — gpt2 L1: l2: eff.rank 293; 4 closed blocks (K=[8, 8, 7, 1]), 3 qualify (mean excess/off-edge [48.7, 9.4, -1.1, 6.6]); gaps [23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35]
+2026-09-09 04:01:28 UTC — gpt2 L1: l2: certified widths [None, None, None]
+2026-09-09 04:02:18 UTC — gpt2 L1: l2: S=0.981 D=17 W_sparse=None widths=[None, None, None] (112s)
+2026-09-09 04:02:18 UTC — gpt2 L1: done in 441s
+2026-09-09 04:03:33 UTC — gpt2 L2: collected 400,000 fit tokens (75s); GPU 10.1 GB
+2026-09-09 04:05:22 UTC — gpt2 L2: grams + 20-permutation null edge: fisher 0.009519, l2 0.08931 (110s)
+2026-09-09 04:05:37 UTC — gpt2 L2: full-write ablation at all positions: dose 1 loss change +0.1937 nats/token, KL 0.2623
+2026-09-09 04:06:48 UTC — gpt2 L2: fisher: eff.rank 920; 1 closed blocks (K=[8]), 1 qualify (mean excess/off-edge [35.8]); gaps [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
+2026-09-09 04:06:52 UTC — gpt2 L2: fisher: certified widths [None]
+2026-09-09 04:07:31 UTC — gpt2 L2: fisher: S=0.629 D=8 W_sparse=None widths=[None] (113s)
+2026-09-09 04:08:33 UTC — gpt2 L2: l2: eff.rank 25; 5 closed blocks (K=[8, 8, 4, 1, 2]), 1 qualify (mean excess/off-edge [43.9, 1.6, 1.0, 0.3, 0.2]); gaps [20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32]
+2026-09-09 04:08:35 UTC — gpt2 L2: l2: certified widths [None]
+2026-09-09 04:09:14 UTC — gpt2 L2: l2: S=0.668 D=8 W_sparse=None widths=[None] (103s)
+2026-09-09 04:09:14 UTC — gpt2 L2: done in 416s
+2026-09-09 04:10:26 UTC — gpt2 L3: collected 400,000 fit tokens (72s); GPU 10.1 GB
+2026-09-09 04:12:15 UTC — gpt2 L3: grams + 20-permutation null edge: fisher 0.003972, l2 0.01447 (110s)
+2026-09-09 04:12:30 UTC — gpt2 L3: full-write ablation at all positions: dose 1 loss change +0.0611 nats/token, KL 0.0882
+2026-09-09 04:13:42 UTC — gpt2 L3: fisher: eff.rank 1821; 2 closed blocks (K=[1, 4]), 2 qualify (mean excess/off-edge [46.5, 32.2]); gaps [1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]
+2026-09-09 04:13:47 UTC — gpt2 L3: fisher: certified widths [None, None]
+2026-09-09 04:14:30 UTC — gpt2 L3: fisher: S=-0.134 D=5 W_sparse=None widths=[None, None] (120s)
+2026-09-09 04:15:29 UTC — gpt2 L3: l2: eff.rank 1331; 6 closed blocks (K=[8, 7, 8, 1, 1, 1]), 6 qualify (mean excess/off-edge [23.2, 12.5, 8.3, 7.1, 4.2, 3.0]); gaps [24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36]
+2026-09-09 04:15:33 UTC — gpt2 L3: l2: certified widths [None, None, None, None, None, None]
+2026-09-09 04:16:40 UTC — gpt2 L3: l2: S=0.036 D=26 W_sparse=None widths=[None, None, None, None, None, None] (130s)
+2026-09-09 04:16:40 UTC — gpt2 L3: done in 446s
+2026-09-09 04:17:49 UTC — gpt2 L4: collected 400,000 fit tokens (68s); GPU 10.1 GB
+2026-09-09 04:19:38 UTC — gpt2 L4: grams + 20-permutation null edge: fisher 0.00469, l2 0.005101 (110s)
+2026-09-09 04:19:53 UTC — gpt2 L4: full-write ablation at all positions: dose 1 loss change +0.0852 nats/token, KL 0.0761
+2026-09-09 04:21:06 UTC — gpt2 L4: fisher: eff.rank 1885; 2 closed blocks (K=[4, 5]), 2 qualify (mean excess/off-edge [32.6, 19.1]); gaps [4, 5, 6, 12, 13, 14, 15, 16, 17, 18, 19, 20]
+2026-09-09 04:21:10 UTC — gpt2 L4: fisher: certified widths [None, None]
+2026-09-09 04:21:54 UTC — gpt2 L4: fisher: S=0.222 D=9 W_sparse=None widths=[None, None] (120s)
+2026-09-09 04:22:52 UTC — gpt2 L4: l2: eff.rank 2268; 5 closed blocks (K=[8, 6, 8, 1, 7]), 5 qualify (mean excess/off-edge [28.6, 13.8, 9.5, 6.2, 4.5]); gaps [14, 15, 16, 26, 27, 28, 29, 30, 31, 32, 33, 34]
+2026-09-09 04:22:55 UTC — gpt2 L4: l2: certified widths [None, None, None, None, None]
+2026-09-09 04:23:57 UTC — gpt2 L4: l2: S=0.172 D=30 W_sparse=None widths=[None, None, None, None, None] (124s)
+2026-09-09 04:23:57 UTC — gpt2 L4: done in 437s
+2026-09-09 04:25:02 UTC — gpt2 L5: collected 400,000 fit tokens (65s); GPU 10.1 GB
+2026-09-09 04:26:52 UTC — gpt2 L5: grams + 20-permutation null edge: fisher 0.004029, l2 0.001676 (110s)
+2026-09-09 04:27:07 UTC — gpt2 L5: full-write ablation at all positions: dose 1 loss change +0.0720 nats/token, KL 0.0822
+2026-09-09 04:28:18 UTC — gpt2 L5: fisher: eff.rank 2042; 2 closed blocks (K=[7, 3]), 2 qualify (mean excess/off-edge [27.3, 18.2]); gaps [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]
+2026-09-09 04:28:22 UTC — gpt2 L5: fisher: certified widths [None, None]
+2026-09-09 04:29:07 UTC — gpt2 L5: fisher: S=-0.056 D=10 W_sparse=None widths=[None, None] (120s)
+2026-09-09 04:30:04 UTC — gpt2 L5: l2: eff.rank 2575; 6 closed blocks (K=[8, 2, 8, 2, 6, 2]), 6 qualify (mean excess/off-edge [36.0, 23.1, 15.0, 11.0, 7.3, 6.6]); gaps [26, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39]
+2026-09-09 04:30:08 UTC — gpt2 L5: l2: certified widths [None, None, None, None, None, None]
+2026-09-09 04:31:16 UTC — gpt2 L5: l2: S=-0.029 D=28 W_sparse=None widths=[None, None, None, None, None, None] (129s)
+2026-09-09 04:31:16 UTC — gpt2 L5: done in 439s
+2026-09-09 04:32:18 UTC — gpt2 L6: collected 400,000 fit tokens (62s); GPU 10.1 GB
+2026-09-09 04:34:08 UTC — gpt2 L6: grams + 20-permutation null edge: fisher 0.002019, l2 0.001495 (110s)
+2026-09-09 04:34:23 UTC — gpt2 L6: full-write ablation at all positions: dose 1 loss change +0.0436 nats/token, KL 0.0819
+2026-09-09 04:35:34 UTC — gpt2 L6: fisher: eff.rank 2014; 2 closed blocks (K=[8, 2]), 2 qualify (mean excess/off-edge [38.6, 17.7]); gaps [8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20, 21]
+2026-09-09 04:35:38 UTC — gpt2 L6: fisher: certified widths [None, None]
+2026-09-09 04:36:22 UTC — gpt2 L6: fisher: S=-0.199 D=10 W_sparse=None widths=[None, None] (118s)
+2026-09-09 04:37:19 UTC — gpt2 L6: l2: eff.rank 2601; 2 closed blocks (K=[8, 6]), 2 qualify (mean excess/off-edge [25.1, 10.7]); gaps [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]
+2026-09-09 04:37:21 UTC — gpt2 L6: l2: certified widths [None, None]
+2026-09-09 04:38:05 UTC — gpt2 L6: l2: S=-0.066 D=14 W_sparse=None widths=[None, None] (103s)
+2026-09-09 04:38:05 UTC — gpt2 L6: done in 409s
+2026-09-09 04:39:04 UTC — gpt2 L7: collected 400,000 fit tokens (59s); GPU 10.1 GB
+2026-09-09 04:40:54 UTC — gpt2 L7: grams + 20-permutation null edge: fisher 0.002423, l2 0.001503 (110s)
+2026-09-09 04:41:08 UTC — gpt2 L7: full-write ablation at all positions: dose 1 loss change +0.0409 nats/token, KL 0.0944
+2026-09-09 04:42:20 UTC — gpt2 L7: fisher: eff.rank 2106; 4 closed blocks (K=[8, 2, 1, 1]), 4 qualify (mean excess/off-edge [30.7, 18.9, 15.5, 14.3]); gaps [11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23]
+2026-09-09 04:42:25 UTC — gpt2 L7: fisher: certified widths [None, None, None, None]
+2026-09-09 04:43:20 UTC — gpt2 L7: fisher: S=-0.653 D=12 W_sparse=None widths=[None, None, None, None] (131s)
+2026-09-09 04:44:17 UTC — gpt2 L7: l2: eff.rank 2634; 3 closed blocks (K=[8, 6, 1]), 3 qualify (mean excess/off-edge [28.3, 12.8, 6.4]); gaps [14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26]
+2026-09-09 04:44:20 UTC — gpt2 L7: l2: certified widths [None, None, None]
+2026-09-09 04:45:09 UTC — gpt2 L7: l2: S=0.107 D=15 W_sparse=None widths=[None, None, None] (109s)
+2026-09-09 04:45:09 UTC — gpt2 L7: done in 424s
+2026-09-09 04:45:09 UTC — gpt2 L8: exists, skipped
+2026-09-09 04:46:01 UTC — gpt2 L9: collected 400,000 fit tokens (52s); GPU 10.1 GB
+2026-09-09 04:47:51 UTC — gpt2 L9: grams + 20-permutation null edge: fisher 0.003471, l2 0.00317 (110s)
+2026-09-09 04:48:06 UTC — gpt2 L9: full-write ablation at all positions: dose 1 loss change +0.0715 nats/token, KL 0.1152
+2026-09-09 04:49:18 UTC — gpt2 L9: fisher: eff.rank 1805; 2 closed blocks (K=[6, 2]), 2 qualify (mean excess/off-edge [33.0, 17.7]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19]
+2026-09-09 04:49:22 UTC — gpt2 L9: fisher: certified widths [22, None]
+2026-09-09 04:50:06 UTC — gpt2 L9: fisher: S=-0.045 D=8 W_sparse=None widths=[22, None] (120s)
+2026-09-09 04:51:04 UTC — gpt2 L9: l2: eff.rank 2468; 6 closed blocks (K=[8, 8, 2, 3, 2, 2]), 6 qualify (mean excess/off-edge [35.5, 19.0, 8.5, 7.3, 7.7, 5.4]); gaps [18, 19, 20, 24, 27, 28, 29, 30, 31, 32, 33, 34]
+2026-09-09 04:51:08 UTC — gpt2 L9: l2: certified widths [60, None, None, None, None, None]
+2026-09-09 04:52:16 UTC — gpt2 L9: l2: S=0.06 D=25 W_sparse=None widths=[60, None, None, None, None, None] (130s)
+2026-09-09 04:52:16 UTC — gpt2 L9: done in 427s
+2026-09-09 04:53:05 UTC — gpt2 L10: collected 400,000 fit tokens (49s); GPU 10.1 GB
+2026-09-09 04:54:55 UTC — gpt2 L10: grams + 20-permutation null edge: fisher 0.002786, l2 0.003821 (110s)
+2026-09-09 04:55:10 UTC — gpt2 L10: full-write ablation at all positions: dose 1 loss change +0.0469 nats/token, KL 0.1418
+2026-09-09 04:56:21 UTC — gpt2 L10: fisher: eff.rank 1826; 1 closed blocks (K=[7]), 1 qualify (mean excess/off-edge [28.4]); gaps [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+2026-09-09 04:56:25 UTC — gpt2 L10: fisher: certified widths [58]
+2026-09-09 04:57:03 UTC — gpt2 L10: fisher: S=-0.023 D=7 W_sparse=None widths=[58] (113s)
+2026-09-09 04:58:01 UTC — gpt2 L10: l2: eff.rank 2302; 5 closed blocks (K=[8, 2, 2, 1, 2]), 5 qualify (mean excess/off-edge [17.1, 9.2, 3.6, 8.3, 5.5]); gaps [10, 11, 12, 15, 16, 20, 21, 22, 23, 24, 25, 26]
+2026-09-09 04:58:05 UTC — gpt2 L10: l2: certified widths [None, 44, None, None, None]
+2026-09-09 04:59:07 UTC — gpt2 L10: l2: S=-0.121 D=15 W_sparse=None widths=[None, 44, None, None, None] (123s)
+2026-09-09 04:59:07 UTC — gpt2 L10: done in 410s
+2026-09-09 04:59:53 UTC — gpt2 L11: collected 400,000 fit tokens (46s); GPU 10.1 GB
+2026-09-09 05:01:43 UTC — gpt2 L11: grams + 20-permutation null edge: fisher 0.005161, l2 0.006053 (110s)
+2026-09-09 05:01:57 UTC — gpt2 L11: full-write ablation at all positions: dose 1 loss change +0.0619 nats/token, KL 0.2059
+2026-09-09 05:03:10 UTC — gpt2 L11: fisher: eff.rank 1139; 4 closed blocks (K=[6, 2, 1, 2]), 4 qualify (mean excess/off-edge [36.1, 32.3, 19.6, 18.3]); gaps [6, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20]
+2026-09-09 05:03:15 UTC — gpt2 L11: fisher: certified widths [None, 12, 57, None]
+2026-09-09 05:04:11 UTC — gpt2 L11: fisher: S=0.165 D=11 W_sparse=None widths=[None, 12, 57, None] (133s)
+2026-09-09 05:05:11 UTC — gpt2 L11: l2: eff.rank 1987; 5 closed blocks (K=[8, 8, 6, 1, 2]), 3 qualify (mean excess/off-edge [8.4, 3.2, 2.5, 1.8, 1.7]); gaps [22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]
+2026-09-09 05:05:13 UTC — gpt2 L11: l2: certified widths [None, None, None]
+2026-09-09 05:06:04 UTC — gpt2 L11: l2: S=-1.069 D=22 W_sparse=None widths=[None, None, None] (113s)
+2026-09-09 05:06:04 UTC — gpt2 L11: done in 417s
+2026-09-09 05:06:04 UTC — gpt2: census complete

results/census/gpt2/MONITOR.md

@@ -0,0 +1,250 @@
+
+- 2026-09-09 03:40:26 UTC — gpt2: census of layers [8]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 03:41:22 UTC — gpt2 L8: collected 400,000 fit tokens (56s); GPU 10.3 GB
+
+- 2026-09-09 03:43:12 UTC — gpt2 L8: grams + 20-permutation null edge: fisher 0.003398, l2 0.002588 (110s)
+
+- 2026-09-09 03:43:26 UTC — gpt2 L8: full-write ablation at all positions: dose 1 loss change +0.0695 nats/token, KL 0.1026
+
+- 2026-09-09 03:44:36 UTC — gpt2 L8: fisher: eff.rank 1909; 1 closed blocks (K=[8]), 1 qualify (mean excess/off-edge [27.4]); gaps [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
+
+- 2026-09-09 03:44:40 UTC — gpt2 L8: fisher: certified widths [None]
+
+- 2026-09-09 03:45:18 UTC — gpt2 L8: fisher: S=0.117 D=8 W_sparse=None widths=[None] (111s)
+
+- 2026-09-09 03:46:14 UTC — gpt2 L8: l2: eff.rank 2570; 4 closed blocks (K=[8, 8, 1, 2]), 4 qualify (mean excess/off-edge [25.3, 10.5, 9.2, 3.2]); gaps [17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30]
+
+- 2026-09-09 03:46:18 UTC — gpt2 L8: l2: certified widths [None, None, None, None]
+
+- 2026-09-09 03:47:12 UTC — gpt2 L8: l2: S=-0.11 D=19 W_sparse=None widths=[None, None, None, None] (115s)
+
+- 2026-09-09 03:47:14 UTC — gpt2 L8: done in 407s
+
+- 2026-09-09 03:47:14 UTC — gpt2: census complete
+
+- 2026-09-09 03:47:24 UTC — gpt2: census of layers [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 03:48:46 UTC — gpt2 L0: collected 400,000 fit tokens (82s); GPU 10.1 GB
+
+- 2026-09-09 03:50:36 UTC — gpt2 L0: grams + 20-permutation null edge: fisher 0.00736, l2 0.009133 (110s)
+
+- 2026-09-09 03:50:50 UTC — gpt2 L0: full-write ablation at all positions: dose 1 loss change +3.6323 nats/token, KL 4.1689
+
+- 2026-09-09 03:52:01 UTC — gpt2 L0: fisher: eff.rank 1140; 3 closed blocks (K=[8, 2, 2]), 3 qualify (mean excess/off-edge [37.3, 18.9, 10.7]); gaps [8, 9, 10, 13, 14, 15, 16, 19, 20, 21, 22, 23]
+
+- 2026-09-09 03:52:06 UTC — gpt2 L0: fisher: certified widths [None, None, None]
+
+- 2026-09-09 03:52:55 UTC — gpt2 L0: fisher: S=0.344 D=12 W_sparse=None widths=[None, None, None] (124s)
+
+- 2026-09-09 03:53:52 UTC — gpt2 L0: l2: eff.rank 1515; 5 closed blocks (K=[8, 8, 1, 8, 2]), 5 qualify (mean excess/off-edge [92.6, 39.4, 10.9, 13.3, 11.2]); gaps [17, 18, 19, 20, 21, 22, 23, 34, 35, 36, 37, 38]
+
+- 2026-09-09 03:53:56 UTC — gpt2 L0: l2: certified widths [28, None, None, None, None]
+
+- 2026-09-09 03:54:57 UTC — gpt2 L0: l2: S=0.597 D=27 W_sparse=None widths=[28, None, None, None, None] (122s)
+
+- 2026-09-09 03:54:57 UTC — gpt2 L0: done in 453s
+
+- 2026-09-09 03:56:15 UTC — gpt2 L1: collected 400,000 fit tokens (78s); GPU 10.1 GB
+
+- 2026-09-09 03:58:05 UTC — gpt2 L1: grams + 20-permutation null edge: fisher 0.006458, l2 0.0275 (110s)
+
+- 2026-09-09 03:58:19 UTC — gpt2 L1: full-write ablation at all positions: dose 1 loss change +1.6381 nats/token, KL 1.6740
+
+- 2026-09-09 03:59:31 UTC — gpt2 L1: fisher: eff.rank 1182; 3 closed blocks (K=[8, 8, 2]), 3 qualify (mean excess/off-edge [45.4, 21.4, 17.9]); gaps [18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29]
+
+- 2026-09-09 03:59:36 UTC — gpt2 L1: fisher: certified widths [None, None, None]
+
+- 2026-09-09 04:00:25 UTC — gpt2 L1: fisher: S=0.985 D=18 W_sparse=None widths=[None, None, None] (126s)
+
+- 2026-09-09 04:01:25 UTC — gpt2 L1: l2: eff.rank 293; 4 closed blocks (K=[8, 8, 7, 1]), 3 qualify (mean excess/off-edge [48.7, 9.4, -1.1, 6.6]); gaps [23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35]
+
+- 2026-09-09 04:01:28 UTC — gpt2 L1: l2: certified widths [None, None, None]
+
+- 2026-09-09 04:02:18 UTC — gpt2 L1: l2: S=0.981 D=17 W_sparse=None widths=[None, None, None] (112s)
+
+- 2026-09-09 04:02:18 UTC — gpt2 L1: done in 441s
+
+- 2026-09-09 04:03:33 UTC — gpt2 L2: collected 400,000 fit tokens (75s); GPU 10.1 GB
+
+- 2026-09-09 04:05:22 UTC — gpt2 L2: grams + 20-permutation null edge: fisher 0.009519, l2 0.08931 (110s)
+
+- 2026-09-09 04:05:37 UTC — gpt2 L2: full-write ablation at all positions: dose 1 loss change +0.1937 nats/token, KL 0.2623
+
+- 2026-09-09 04:06:48 UTC — gpt2 L2: fisher: eff.rank 920; 1 closed blocks (K=[8]), 1 qualify (mean excess/off-edge [35.8]); gaps [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
+
+- 2026-09-09 04:06:52 UTC — gpt2 L2: fisher: certified widths [None]
+
+- 2026-09-09 04:07:31 UTC — gpt2 L2: fisher: S=0.629 D=8 W_sparse=None widths=[None] (113s)
+
+- 2026-09-09 04:08:33 UTC — gpt2 L2: l2: eff.rank 25; 5 closed blocks (K=[8, 8, 4, 1, 2]), 1 qualify (mean excess/off-edge [43.9, 1.6, 1.0, 0.3, 0.2]); gaps [20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32]
+
+- 2026-09-09 04:08:35 UTC — gpt2 L2: l2: certified widths [None]
+
+- 2026-09-09 04:09:14 UTC — gpt2 L2: l2: S=0.668 D=8 W_sparse=None widths=[None] (103s)
+
+- 2026-09-09 04:09:14 UTC — gpt2 L2: done in 416s
+
+- 2026-09-09 04:10:26 UTC — gpt2 L3: collected 400,000 fit tokens (72s); GPU 10.1 GB
+
+- 2026-09-09 04:12:15 UTC — gpt2 L3: grams + 20-permutation null edge: fisher 0.003972, l2 0.01447 (110s)
+
+- 2026-09-09 04:12:30 UTC — gpt2 L3: full-write ablation at all positions: dose 1 loss change +0.0611 nats/token, KL 0.0882
+
+- 2026-09-09 04:13:42 UTC — gpt2 L3: fisher: eff.rank 1821; 2 closed blocks (K=[1, 4]), 2 qualify (mean excess/off-edge [46.5, 32.2]); gaps [1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]
+
+- 2026-09-09 04:13:47 UTC — gpt2 L3: fisher: certified widths [None, None]
+
+- 2026-09-09 04:14:30 UTC — gpt2 L3: fisher: S=-0.134 D=5 W_sparse=None widths=[None, None] (120s)
+
+- 2026-09-09 04:15:29 UTC — gpt2 L3: l2: eff.rank 1331; 6 closed blocks (K=[8, 7, 8, 1, 1, 1]), 6 qualify (mean excess/off-edge [23.2, 12.5, 8.3, 7.1, 4.2, 3.0]); gaps [24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36]
+
+- 2026-09-09 04:15:33 UTC — gpt2 L3: l2: certified widths [None, None, None, None, None, None]
+
+- 2026-09-09 04:16:40 UTC — gpt2 L3: l2: S=0.036 D=26 W_sparse=None widths=[None, None, None, None, None, None] (130s)
+
+- 2026-09-09 04:16:40 UTC — gpt2 L3: done in 446s
+
+- 2026-09-09 04:17:49 UTC — gpt2 L4: collected 400,000 fit tokens (68s); GPU 10.1 GB
+
+- 2026-09-09 04:19:38 UTC — gpt2 L4: grams + 20-permutation null edge: fisher 0.00469, l2 0.005101 (110s)
+
+- 2026-09-09 04:19:53 UTC — gpt2 L4: full-write ablation at all positions: dose 1 loss change +0.0852 nats/token, KL 0.0761
+
+- 2026-09-09 04:21:06 UTC — gpt2 L4: fisher: eff.rank 1885; 2 closed blocks (K=[4, 5]), 2 qualify (mean excess/off-edge [32.6, 19.1]); gaps [4, 5, 6, 12, 13, 14, 15, 16, 17, 18, 19, 20]
+
+- 2026-09-09 04:21:10 UTC — gpt2 L4: fisher: certified widths [None, None]
+
+- 2026-09-09 04:21:54 UTC — gpt2 L4: fisher: S=0.222 D=9 W_sparse=None widths=[None, None] (120s)
+
+- 2026-09-09 04:22:52 UTC — gpt2 L4: l2: eff.rank 2268; 5 closed blocks (K=[8, 6, 8, 1, 7]), 5 qualify (mean excess/off-edge [28.6, 13.8, 9.5, 6.2, 4.5]); gaps [14, 15, 16, 26, 27, 28, 29, 30, 31, 32, 33, 34]
+
+- 2026-09-09 04:22:55 UTC — gpt2 L4: l2: certified widths [None, None, None, None, None]
+
+- 2026-09-09 04:23:57 UTC — gpt2 L4: l2: S=0.172 D=30 W_sparse=None widths=[None, None, None, None, None] (124s)
+
+- 2026-09-09 04:23:57 UTC — gpt2 L4: done in 437s
+
+- 2026-09-09 04:25:02 UTC — gpt2 L5: collected 400,000 fit tokens (65s); GPU 10.1 GB
+
+- 2026-09-09 04:26:52 UTC — gpt2 L5: grams + 20-permutation null edge: fisher 0.004029, l2 0.001676 (110s)
+
+- 2026-09-09 04:27:07 UTC — gpt2 L5: full-write ablation at all positions: dose 1 loss change +0.0720 nats/token, KL 0.0822
+
+- 2026-09-09 04:28:18 UTC — gpt2 L5: fisher: eff.rank 2042; 2 closed blocks (K=[7, 3]), 2 qualify (mean excess/off-edge [27.3, 18.2]); gaps [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]
+
+- 2026-09-09 04:28:22 UTC — gpt2 L5: fisher: certified widths [None, None]
+
+- 2026-09-09 04:29:07 UTC — gpt2 L5: fisher: S=-0.056 D=10 W_sparse=None widths=[None, None] (120s)
+
+- 2026-09-09 04:30:04 UTC — gpt2 L5: l2: eff.rank 2575; 6 closed blocks (K=[8, 2, 8, 2, 6, 2]), 6 qualify (mean excess/off-edge [36.0, 23.1, 15.0, 11.0, 7.3, 6.6]); gaps [26, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39]
+
+- 2026-09-09 04:30:08 UTC — gpt2 L5: l2: certified widths [None, None, None, None, None, None]
+
+- 2026-09-09 04:31:16 UTC — gpt2 L5: l2: S=-0.029 D=28 W_sparse=None widths=[None, None, None, None, None, None] (129s)
+
+- 2026-09-09 04:31:16 UTC — gpt2 L5: done in 439s
+
+- 2026-09-09 04:32:18 UTC — gpt2 L6: collected 400,000 fit tokens (62s); GPU 10.1 GB
+
+- 2026-09-09 04:34:08 UTC — gpt2 L6: grams + 20-permutation null edge: fisher 0.002019, l2 0.001495 (110s)
+
+- 2026-09-09 04:34:23 UTC — gpt2 L6: full-write ablation at all positions: dose 1 loss change +0.0436 nats/token, KL 0.0819
+
+- 2026-09-09 04:35:34 UTC — gpt2 L6: fisher: eff.rank 2014; 2 closed blocks (K=[8, 2]), 2 qualify (mean excess/off-edge [38.6, 17.7]); gaps [8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20, 21]
+
+- 2026-09-09 04:35:38 UTC — gpt2 L6: fisher: certified widths [None, None]
+
+- 2026-09-09 04:36:22 UTC — gpt2 L6: fisher: S=-0.199 D=10 W_sparse=None widths=[None, None] (118s)
+
+- 2026-09-09 04:37:19 UTC — gpt2 L6: l2: eff.rank 2601; 2 closed blocks (K=[8, 6]), 2 qualify (mean excess/off-edge [25.1, 10.7]); gaps [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]
+
+- 2026-09-09 04:37:21 UTC — gpt2 L6: l2: certified widths [None, None]
+
+- 2026-09-09 04:38:05 UTC — gpt2 L6: l2: S=-0.066 D=14 W_sparse=None widths=[None, None] (103s)
+
+- 2026-09-09 04:38:05 UTC — gpt2 L6: done in 409s
+
+- 2026-09-09 04:39:04 UTC — gpt2 L7: collected 400,000 fit tokens (59s); GPU 10.1 GB
+
+- 2026-09-09 04:40:54 UTC — gpt2 L7: grams + 20-permutation null edge: fisher 0.002423, l2 0.001503 (110s)
+
+- 2026-09-09 04:41:08 UTC — gpt2 L7: full-write ablation at all positions: dose 1 loss change +0.0409 nats/token, KL 0.0944
+
+- 2026-09-09 04:42:20 UTC — gpt2 L7: fisher: eff.rank 2106; 4 closed blocks (K=[8, 2, 1, 1]), 4 qualify (mean excess/off-edge [30.7, 18.9, 15.5, 14.3]); gaps [11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23]
+
+- 2026-09-09 04:42:25 UTC — gpt2 L7: fisher: certified widths [None, None, None, None]
+
+- 2026-09-09 04:43:20 UTC — gpt2 L7: fisher: S=-0.653 D=12 W_sparse=None widths=[None, None, None, None] (131s)
+
+- 2026-09-09 04:44:17 UTC — gpt2 L7: l2: eff.rank 2634; 3 closed blocks (K=[8, 6, 1]), 3 qualify (mean excess/off-edge [28.3, 12.8, 6.4]); gaps [14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26]
+
+- 2026-09-09 04:44:20 UTC — gpt2 L7: l2: certified widths [None, None, None]
+
+- 2026-09-09 04:45:09 UTC — gpt2 L7: l2: S=0.107 D=15 W_sparse=None widths=[None, None, None] (109s)
+
+- 2026-09-09 04:45:09 UTC — gpt2 L7: done in 424s
+
+- 2026-09-09 04:45:09 UTC — gpt2 L8: exists, skipped
+
+- 2026-09-09 04:46:01 UTC — gpt2 L9: collected 400,000 fit tokens (52s); GPU 10.1 GB
+
+- 2026-09-09 04:47:51 UTC — gpt2 L9: grams + 20-permutation null edge: fisher 0.003471, l2 0.00317 (110s)
+
+- 2026-09-09 04:48:06 UTC — gpt2 L9: full-write ablation at all positions: dose 1 loss change +0.0715 nats/token, KL 0.1152
+
+- 2026-09-09 04:49:18 UTC — gpt2 L9: fisher: eff.rank 1805; 2 closed blocks (K=[6, 2]), 2 qualify (mean excess/off-edge [33.0, 17.7]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19]
+
+- 2026-09-09 04:49:22 UTC — gpt2 L9: fisher: certified widths [22, None]
+
+- 2026-09-09 04:50:06 UTC — gpt2 L9: fisher: S=-0.045 D=8 W_sparse=None widths=[22, None] (120s)
+
+- 2026-09-09 04:51:04 UTC — gpt2 L9: l2: eff.rank 2468; 6 closed blocks (K=[8, 8, 2, 3, 2, 2]), 6 qualify (mean excess/off-edge [35.5, 19.0, 8.5, 7.3, 7.7, 5.4]); gaps [18, 19, 20, 24, 27, 28, 29, 30, 31, 32, 33, 34]
+
+- 2026-09-09 04:51:08 UTC — gpt2 L9: l2: certified widths [60, None, None, None, None, None]
+
+- 2026-09-09 04:52:16 UTC — gpt2 L9: l2: S=0.06 D=25 W_sparse=None widths=[60, None, None, None, None, None] (130s)
+
+- 2026-09-09 04:52:16 UTC — gpt2 L9: done in 427s
+
+- 2026-09-09 04:53:05 UTC — gpt2 L10: collected 400,000 fit tokens (49s); GPU 10.1 GB
+
+- 2026-09-09 04:54:55 UTC — gpt2 L10: grams + 20-permutation null edge: fisher 0.002786, l2 0.003821 (110s)
+
+- 2026-09-09 04:55:10 UTC — gpt2 L10: full-write ablation at all positions: dose 1 loss change +0.0469 nats/token, KL 0.1418
+
+- 2026-09-09 04:56:21 UTC — gpt2 L10: fisher: eff.rank 1826; 1 closed blocks (K=[7]), 1 qualify (mean excess/off-edge [28.4]); gaps [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 04:56:25 UTC — gpt2 L10: fisher: certified widths [58]
+
+- 2026-09-09 04:57:03 UTC — gpt2 L10: fisher: S=-0.023 D=7 W_sparse=None widths=[58] (113s)
+
+- 2026-09-09 04:58:01 UTC — gpt2 L10: l2: eff.rank 2302; 5 closed blocks (K=[8, 2, 2, 1, 2]), 5 qualify (mean excess/off-edge [17.1, 9.2, 3.6, 8.3, 5.5]); gaps [10, 11, 12, 15, 16, 20, 21, 22, 23, 24, 25, 26]
+
+- 2026-09-09 04:58:05 UTC — gpt2 L10: l2: certified widths [None, 44, None, None, None]
+
+- 2026-09-09 04:59:07 UTC — gpt2 L10: l2: S=-0.121 D=15 W_sparse=None widths=[None, 44, None, None, None] (123s)
+
+- 2026-09-09 04:59:07 UTC — gpt2 L10: done in 410s
+
+- 2026-09-09 04:59:53 UTC — gpt2 L11: collected 400,000 fit tokens (46s); GPU 10.1 GB
+
+- 2026-09-09 05:01:43 UTC — gpt2 L11: grams + 20-permutation null edge: fisher 0.005161, l2 0.006053 (110s)
+
+- 2026-09-09 05:01:57 UTC — gpt2 L11: full-write ablation at all positions: dose 1 loss change +0.0619 nats/token, KL 0.2059
+
+- 2026-09-09 05:03:10 UTC — gpt2 L11: fisher: eff.rank 1139; 4 closed blocks (K=[6, 2, 1, 2]), 4 qualify (mean excess/off-edge [36.1, 32.3, 19.6, 18.3]); gaps [6, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20]
+
+- 2026-09-09 05:03:15 UTC — gpt2 L11: fisher: certified widths [None, 12, 57, None]
+
+- 2026-09-09 05:04:11 UTC — gpt2 L11: fisher: S=0.165 D=11 W_sparse=None widths=[None, 12, 57, None] (133s)
+
+- 2026-09-09 05:05:11 UTC — gpt2 L11: l2: eff.rank 1987; 5 closed blocks (K=[8, 8, 6, 1, 2]), 3 qualify (mean excess/off-edge [8.4, 3.2, 2.5, 1.8, 1.7]); gaps [22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]
+
+- 2026-09-09 05:05:13 UTC — gpt2 L11: l2: certified widths [None, None, None]
+
+- 2026-09-09 05:06:04 UTC — gpt2 L11: l2: S=-1.069 D=22 W_sparse=None widths=[None, None, None] (113s)
+
+- 2026-09-09 05:06:04 UTC — gpt2 L11: done in 417s
+
+- 2026-09-09 05:06:04 UTC — gpt2: census complete

results/census/gpt2/layers/L0_blocks.pt

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5faf96a20c69e768670eefecd0da4d9b0410a2186d6caaa8456dac5adaf7b7b
+size 597590

results/census/gpt2/layers/L10_blocks.pt

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6803fb54fc13e15518ecc267e2945a3fd5dd906abb6c4bcd6499459eb456965
+size 375157

results/census/gpt2/layers/L11_blocks.pt

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9dbb12c1c82dbd1b51e2929c977cbc58d3c185bcac66486ea86b7d20b130bff
+size 523381

results/census/gpt2/layers/L1_blocks.pt

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8394ed77220ed6d7c092051ae13d459947ccc14f1c6001698816e31949c9fd64
+size 509789

results/census/gpt2/layers/L2.json

@@ -0,0 +1,2656 @@
+{
+  "model": "openai-community/gpt2",
+  "random": false,
+  "layer": 2,
+  "width": 3072,
+  "d_model": 768,
+  "tokens": {
+    "norm": 50048,
+    "fit": 400000,
+    "match": 50048,
+    "eval": 50048,
+    "causal": 50048
+  },
+  "seq_len": 64,
+  "samples_per_position": 2,
+  "fisher_snr": {
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+      0.33796054124832153,
+      0.471466988325119,
+      0.6609410047531128,
+      0.9053742289543152
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+    "iqr_over_median": 0.6850542487654875,
+    "note": "per-token ||grad_f log p_x(y)|| for the first sampled target, fitting split"
+  },
+  "null_edge": {
+    "draws": 20,
+    "rule": "independent per-neuron token permutation of coefficient and score columns (masses preserved, co-firing destroyed); max = top eigenvalue of the permuted frozen-mass operator; off_max = top eigenvalue after removing its diagonal (pure co-firing noise edge)",
+    "l2": {
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+      "mean": 0.08930197740169603,
+      "q95": 0.0893055612777015,
+      "values": [
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+        0.08930077223481565,
+        0.08930130734688047,
+        0.08930073622294717,
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+      "off_max": 0.00029403287546491866,
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+        0.00018186442477273097,
+        0.00010004146672414104,
+        0.00012382027697555183
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+      "off_max": 0.00012422658810081554,
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+        0.0001181108487958478,
+        0.00011924054612369389,
+        0.00011881465648209211,
+        0.0001170618950465137
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+    }
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+  "full_write": {
+    "0.25": {
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+      "mean_kl": 0.016271259635686874,
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results/census/gpt2/manifest.json

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+  "dataset": "Salesforce/wikitext wikitext-2-raw-v1",
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results/census/gpt2/single_position.log

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+
+   cross-metric overlap: 5 of min(12,27) directions shared (cos2>=0.8); mean cos2 0.58
+L0: full +0.8061 | fisher: D 12 abl_share -0.001 (all-pos +0.009) S_rep +0.244 rand +0.001 helped 0.51 byQ [0.0047, -0.004, -0.0207, 0.0154] KL 0.0075 | l2: D 27 abl_share +0.011 (all-pos +0.055) S_rep +0.256 rand +0.003 helped 0.47 byQ [0.0124, 0.0234, 0.0373, -0.0382] KL 0.0384
+   fisher: H 3.903->3.892 T* 0.998 dL_T +0.0001 vs dL_abl -0.0011
+   l2: H 3.903->3.924 T* 1.003 dL_T -0.0001 vs dL_abl +0.0087
+   fisher: rho(dlogprob, logfreq) +0.099; top100-frequent dlogprob -0.0028 vs all -0.0129; removal boosts [' hon', ' affili', ' neighbours', ' plagued', ' Petty', ' pron', ' graz', ' tongues'] suppresses ['\x17', '\x01', '�', '\x00', '\x1e', '\x10', '\x1b', '\x13']
+   l2: rho(dlogprob, logfreq) +0.010; top100-frequent dlogprob +0.0609 vs all +0.0612; removal boosts ['izations', 'isations', ' brackets', 'redients', 'ivities', ' margins', 'ses', ' advoc'] suppresses ['��極', 'ync', 'hire', 'hack', 'ilk', 'pire', 'hirt', 'perty']
+   cross-metric overlap: 4 of min(18,17) directions shared (cos2>=0.8); mean cos2 0.38
+L1: full +0.0066 | fisher: D 18 abl_share -0.829 (all-pos +0.910) S_rep -0.355 rand +0.052 helped 0.51 byQ [-0.0001, -0.0195, -0.0057, 0.0033] KL 0.0017 | l2: D 17 abl_share +0.073 (all-pos +0.890) S_rep +0.129 rand +0.091 helped 0.48 byQ [-0.001, -0.0025, 0.005, 0.0005] KL 0.0002
+   fisher: H 3.903->3.915 T* 1.002 dL_T -0.0001 vs dL_abl -0.0055
+   l2: H 3.903->3.902 T* 1.000 dL_T +0.0000 vs dL_abl +0.0005
+   fisher: rho(dlogprob, logfreq) +0.084; top100-frequent dlogprob +0.0196 vs all +0.0174; removal boosts [' eleph', ' teasp', 'PDATE', 'ーテ', 'WARE', ' reflecting', 'GGGG', 'パ'] suppresses ['ictions', 'ilar', 'igo', 'rils', 'eworld', 'ienced', 'iced', 'iction']
+   l2: rho(dlogprob, logfreq) +0.036; top100-frequent dlogprob +0.0043 vs all +0.0038; removal boosts ['�', 'ーテ', ' teasp', '�', '�', 'PDATE', ' subur', '�'] suppresses ['iration', 'itability', 'itus', 'pless', 'isites', 'umsy', 'irrel', 'cone']
+   cross-metric overlap: 2 of min(8,8) directions shared (cos2>=0.8); mean cos2 0.46
+L2: full +0.0032 | fisher: D 8 abl_share -0.311 (all-pos +1.757) S_rep -0.134 rand +0.016 helped 0.52 byQ [-0.0003, -0.0004, -0.0002, -0.0032] KL 0.0001 | l2: D 8 abl_share +0.003 (all-pos +0.437) S_rep +0.192 rand +0.138 helped 0.50 byQ [0.0009, -0.0032, -0.0001, 0.0024] KL 0.0003
+   fisher: H 3.903->3.901 T* 1.000 dL_T +0.0000 vs dL_abl -0.0010
+   l2: H 3.903->3.902 T* 1.000 dL_T -0.0000 vs dL_abl +0.0000
+   fisher: rho(dlogprob, logfreq) -0.103; top100-frequent dlogprob -0.0010 vs all -0.0001; removal boosts ['arers', 'erers', 'iners', 'ipment', 'engers', 'inse', 'edient', 'rils'] suppresses [' Obesity', ' Abstract', ' Uzbek', ' Eur', ' Immunity', ' Cov', ' Published', ' Psychiatry']
+   l2: rho(dlogprob, logfreq) -0.084; top100-frequent dlogprob +0.0033 vs all +0.0038; removal boosts [' seiz', ' corrid', 'ÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂÃÂ', ' reluct', ' tradem', ' glim', ' advoc', ' unden'] suppresses ['wered', ' McKenna', 'edia', 'eking', 'np', 'ortment', 'ghan', 'verage']
+   cross-metric overlap: 2 of min(5,26) directions shared (cos2>=0.8); mean cos2 0.51
+L3: full +0.0353 | fisher: D 5 abl_share -0.009 (all-pos -0.138) S_rep -0.030 rand -0.004 helped 0.52 byQ [0.0001, 0.0036, 0.0011, -0.0059] KL 0.0011 | l2: D 26 abl_share +0.077 (all-pos -0.006) S_rep +0.036 rand +0.003 helped 0.53 byQ [-0.0002, 0.005, 0.0068, -0.0007] KL 0.0014
+   fisher: H 3.903->3.907 T* 1.001 dL_T -0.0000 vs dL_abl -0.0003
+   l2: H 3.903->3.904 T* 1.000 dL_T -0.0000 vs dL_abl +0.0027
+   fisher: rho(dlogprob, logfreq) -0.045; top100-frequent dlogprob +0.0000 vs all +0.0018; removal boosts [' pant', 'enei', ' curriculum', ' whim', ' jaws', ' realism', 'heed', ' misdem'] suppresses [' ].', ' ]', 'DragonMagazine', ' ];', 'ーティ', ' ],', '�醒', ' Asked']
+   l2: rho(dlogprob, logfreq) -0.153; top100-frequent dlogprob +0.0017 vs all +0.0037; removal boosts ['��', 'ogun', 'eco', 'ulhu', 'jriwal', 'redit', 'eln', 'ometimes'] suppresses [' Lent', ' Christensen', ' Larson', ' Reported', ' Upon', ' Known', ' Turns', ' LDS']
+   cross-metric overlap: 2 of min(9,30) directions shared (cos2>=0.8); mean cos2 0.48
+L4: full +0.0196 | fisher: D 9 abl_share +0.173 (all-pos +0.224) S_rep +0.221 rand +0.056 helped 0.48 byQ [0.006, 0.0048, -0.0072, 0.0099] KL 0.0013 | l2: D 30 abl_share -0.263 (all-pos +0.224) S_rep -0.233 rand +0.277 helped 0.51 byQ [0.009, -0.0077, -0.0106, -0.0113] KL 0.0032
+   fisher: H 3.903->3.896 T* 0.999 dL_T +0.0000 vs dL_abl +0.0034
+   l2: H 3.903->3.913 T* 1.001 dL_T -0.0001 vs dL_abl -0.0051
+   fisher: rho(dlogprob, logfreq) +0.047; top100-frequent dlogprob -0.0035 vs all -0.0021; removal boosts ['SPONSORED', ')=(', ' Skydragon', 'ilan', ' misunder', '];', 'iscons', '],"'] suppresses [' ."', ' ,"', ' )', ' ]', ' ):', ' .)', ' ).', ' )]']
+   l2: rho(dlogprob, logfreq) -0.032; top100-frequent dlogprob +0.0058 vs all +0.0076; removal boosts ['anamo', 'atin', 'lamm', 'enes', 'ses', 'nington', 'inas', 'ovic'] suppresses [' ,"', '��', ' ."', ' convention', ' eleph', ' proport', ' ",', '�']
+   cross-metric overlap: 3 of min(10,28) directions shared (cos2>=0.8); mean cos2 0.46
+L5: full +0.0510 | fisher: D 10 abl_share -0.010 (all-pos -0.033) S_rep -0.026 rand -0.003 helped 0.51 byQ [0.0058, -0.0019, -0.0015, -0.0045] KL 0.0008 | l2: D 28 abl_share +0.025 (all-pos +0.103) S_rep -0.117 rand +0.044 helped 0.46 byQ [0.0073, -0.0118, 0.0059, 0.0037] KL 0.0033
+   fisher: H 3.903->3.904 T* 1.000 dL_T -0.0000 vs dL_abl -0.0005
+   l2: H 3.903->3.914 T* 1.002 dL_T -0.0001 vs dL_abl +0.0013
+   fisher: rho(dlogprob, logfreq) -0.085; top100-frequent dlogprob +0.0049 vs all +0.0072; removal boosts ['�', ' enthusi', '�', ' practition', '�', ' millenn', ' tremend', '\x00'] suppresses [' }', ' ||', ' ]', ' )', ' >>', 'beta', 'roup', 'radius']
+   l2: rho(dlogprob, logfreq) -0.256; top100-frequent dlogprob +0.0211 vs all +0.0314; removal boosts ['\t', '\x02', '\x11', '�', '\x04', '�', '�', '\x1b'] suppresses ["\\'", " ''", '�', ' �', '-"', '..."', '—"', ' wh']
+   cross-metric overlap: 1 of min(10,14) directions shared (cos2>=0.8); mean cos2 0.34
+L6: full +0.0432 | fisher: D 10 abl_share -0.165 (all-pos -0.132) S_rep -0.194 rand -0.005 helped 0.49 byQ [0.0039, -0.0196, -0.0154, 0.0026] KL 0.0019 | l2: D 14 abl_share -0.136 (all-pos +0.014) S_rep -0.175 rand +0.020 helped 0.50 byQ [0.0032, -0.008, -0.0095, -0.0092] KL 0.0022
+   fisher: H 3.903->3.916 T* 1.002 dL_T -0.0001 vs dL_abl -0.0071
+   l2: H 3.903->3.919 T* 1.002 dL_T -0.0001 vs dL_abl -0.0059
+   fisher: rho(dlogprob, logfreq) +0.067; top100-frequent dlogprob +0.0155 vs all +0.0166; removal boosts ['rawdownload', '龍�', '�', '\x13', '\x17', '\x00', '\t', '\x1f'] suppresses ['iced', 'icky', 'erv', '�', 'mington', 'ili', 'illy', 'urd']
+   l2: rho(dlogprob, logfreq) -0.072; top100-frequent dlogprob +0.0296 vs all +0.0353; removal boosts ['\x02', '�', 'rawdownload', '\x00', '\t', '\x04', '\x1b', '�'] suppresses ['SPONSORED', 'mith', '"(', '________', '-"', '____', 'usercontent', '"[']
+   cross-metric overlap: 3 of min(12,15) directions shared (cos2>=0.8); mean cos2 0.39
+L7: full +0.0482 | fisher: D 12 abl_share -0.191 (all-pos -0.634) S_rep -0.277 rand +0.042 helped 0.50 byQ [0.0095, -0.0243, -0.012, -0.0101] KL 0.0036 | l2: D 15 abl_share +0.038 (all-pos +0.158) S_rep +0.020 rand +0.107 helped 0.46 byQ [-0.0003, 0.0043, -0.007, 0.0102] KL 0.0016
+   fisher: H 3.903->3.934 T* 1.004 dL_T -0.0001 vs dL_abl -0.0092
+   l2: H 3.903->3.899 T* 0.999 dL_T +0.0000 vs dL_abl +0.0018
+   fisher: rho(dlogprob, logfreq) -0.039; top100-frequent dlogprob +0.0531 vs all +0.0556; removal boosts [' eleph', ' pione', ' subur', '�', ' RandomRedditor', 'rawdownload', '\x13', '\x01'] suppresses ['ix', 'idd', 'urn', 'iz', '—"', '-"', 'ips', 'ire']
+   l2: rho(dlogprob, logfreq) -0.160; top100-frequent dlogprob +0.0188 vs all +0.0269; removal boosts [' pione', '�', '�', '�', '\x19', 'aditional', '�', '\x0b'] suppresses ['Merit', ' and', ' ETF', 'etc', 'and', 'earable', 'ward', 'bie']
+   cross-metric overlap: 4 of min(8,19) directions shared (cos2>=0.8); mean cos2 0.57
+L8: full +0.0845 | fisher: D 8 abl_share +0.052 (all-pos +0.027) S_rep +0.085 rand +0.007 helped 0.48 byQ [0.0127, 0.0146, 0.0013, -0.011] KL 0.0022 | l2: D 19 abl_share +0.179 (all-pos -0.013) S_rep +0.145 rand +0.048 helped 0.46 byQ [0.0208, 0.034, 0.0184, -0.0125] KL 0.0050
+   fisher: H 3.903->3.904 T* 1.000 dL_T -0.0000 vs dL_abl +0.0044
+   l2: H 3.903->3.924 T* 1.003 dL_T -0.0001 vs dL_abl +0.0151
+   fisher: rho(dlogprob, logfreq) +0.010; top100-frequent dlogprob +0.0226 vs all +0.0189; removal boosts [' ,', ',,,,', ' ).', ' .', ' ),', ' \xa0\xa0', ' .)', '\n\xa0'] suppresses ['rost', ' sauces', 'ish', 'onite', 'unci', ' nodd', ' leash', 'ewater']
+   l2: rho(dlogprob, logfreq) -0.167; top100-frequent dlogprob +0.0368 vs all +0.0516; removal boosts [' proble', ' challeng', ' Citiz', '�', ' hemor', ' tremend', ' practition', '�'] suppresses ['eer', ' yet', 'ster', 'est', '${', 'ogen', 'er', ' both']
+   cross-metric overlap: 5 of min(8,25) directions shared (cos2>=0.8); mean cos2 0.83
+L9: full +0.0781 | fisher: D 8 abl_share -0.043 (all-pos -0.085) S_rep -0.022 rand +0.005 helped 0.47 byQ [0.0012, 0.0055, -0.0082, -0.0118] KL 0.0013 | l2: D 25 abl_share +0.069 (all-pos +0.098) S_rep +0.007 rand +0.118 helped 0.45 byQ [0.0238, 0.0318, 0.0054, -0.0392] KL 0.0065
+   fisher: H 3.903->3.907 T* 1.001 dL_T -0.0000 vs dL_abl -0.0033
+   l2: H 3.903->3.944 T* 1.006 dL_T -0.0001 vs dL_abl +0.0054
+   fisher: rho(dlogprob, logfreq) -0.122; top100-frequent dlogprob +0.0367 vs all +0.0422; removal boosts ['ゴン', ' exting', ' behavi', 'ーテ', ' eleph', ' pione', 'senal', ' subur'] suppresses ['"]', '…)', '?".', '…"', '])', '?"', '[/', ']"']
+   l2: rho(dlogprob, logfreq) -0.162; top100-frequent dlogprob +0.1208 vs all +0.1372; removal boosts [' millenn', ' metic', ' mosqu', ' therap', ' conflic', ' tremend', ' challeng', 'senal'] suppresses [' ±', '>[', ' ($', ']', ' <<', ' \xad', ' Monday', ' [']
+   cross-metric overlap: 0 of min(7,15) directions shared (cos2>=0.8); mean cos2 0.06
+L10: full +0.0843 | fisher: D 7 abl_share -0.073 (all-pos -0.045) S_rep -0.054 rand +0.002 helped 0.51 byQ [-0.0038, -0.0149, -0.0029, -0.0032] KL 0.0016 | l2: D 15 abl_share +0.182 (all-pos +0.280) S_rep -0.026 rand +0.305 helped 0.48 byQ [0.0214, 0.0188, 0.0123, 0.009] KL 0.0096
+   fisher: H 3.903->3.891 T* 0.998 dL_T +0.0001 vs dL_abl -0.0062
+   l2: H 3.903->3.916 T* 1.002 dL_T -0.0001 vs dL_abl +0.0154
+   fisher: rho(dlogprob, logfreq) -0.217; top100-frequent dlogprob -0.0179 vs all -0.0138; removal boosts ['kefeller', 'perty', 'gencies', 'prus', 'afety', 'ewitness', 'ktop', 'minist'] suppresses [' ,', '.",', ' ,"', ' ),', '",', ' ."', '\xa0', ' ;']
+   l2: rho(dlogprob, logfreq) -0.029; top100-frequent dlogprob +0.0514 vs all +0.0537; removal boosts [' livest', 'everal', 'ccording', ' tremend', ' metic', ' encount', ' undermin', ' challeng'] suppresses ['ズ', ' Cheong', ' Gallup', ' Pew', ' Tweet', 'ko', ' Liberties', ' Univ']
+   cross-metric overlap: 4 of min(11,22) directions shared (cos2>=0.8); mean cos2 0.50
+L11: full +0.0966 | fisher: D 11 abl_share +0.145 (all-pos +0.161) S_rep +0.128 rand +0.012 helped 0.46 byQ [0.0055, 0.0388, 0.0024, 0.0094] KL 0.0203 | l2: D 22 abl_share +0.097 (all-pos -0.529) S_rep -0.204 rand +0.983 helped 0.50 byQ [0.0226, 0.0926, 0.0182, -0.0954] KL 0.0515
+   fisher: H 3.903->3.844 T* 0.991 dL_T +0.0006 vs dL_abl +0.0140
+   l2: H 3.903->3.946 T* 1.006 dL_T -0.0001 vs dL_abl +0.0094
+   fisher: rho(dlogprob, logfreq) +0.282; top100-frequent dlogprob +0.0793 vs all +0.0623; removal boosts [' along', ' as', ' hence', ' by', ' "', ' which', ' since', ' in'] suppresses ['\x03', '�', '\x1a', '\t', ' RandomRedditor', '�', '�', '�']
+   l2: rho(dlogprob, logfreq) +0.198; top100-frequent dlogprob +0.3696 vs all +0.3300; removal boosts [' Is', ' Was', ' Cr', ' Don', ' Ol', ' Or', ' Ar', ' Be'] suppresses ['embedreportprint', '�', '\x1a', '\x03', ' RandomRedditor', '\x19', '�', '\x16']

results/census/gpt2/single_position_check.json

@@ -0,0 +1,2591 @@
+{
+  "0": {
+    "mu_source": "causal_split_mean",
+    "full_ablation": 0.8061437010765076,
+    "metrics": {
+      "fisher": {
+        "D": 12,
+        "union_ablation": -0.0011168718338012695,
+        "union_ablation_kl": 0.007519368547946215,
+        "fraction_positions_helped": 0.5051150918006897,
+        "ablation_by_clean_loss_quartile": [
+          0.004672614391893148,
+          -0.004027662333101034,
+          -0.020670728757977486,
+          0.015443673357367516
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+    }
+  }
+}

results/census/gpt2_halfN.log

@@ -0,0 +1,33 @@
+
+2026-09-09 11:26:38 UTC — gpt2_halfN: census of layers [2, 6, 10]; tokens norm=50,048, fit=200,000, match=50,048, eval=50,048, causal=50,048
+2026-09-09 11:27:28 UTC — gpt2_halfN L2: collected 200,000 fit tokens (49s); GPU 6.4 GB
+2026-09-09 11:28:29 UTC — gpt2_halfN L2: grams + 20-permutation null edge: fisher 0.009505, l2 0.08932 (61s)
+2026-09-09 11:28:44 UTC — gpt2_halfN L2: full-write ablation at all positions: dose 1 loss change +0.1937 nats/token, KL 0.2623
+2026-09-09 11:29:42 UTC — gpt2_halfN L2: fisher: eff.rank 915; 1 closed blocks (K=[6]), 1 qualify (mean excess/off-edge [28.5]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]
+2026-09-09 11:29:46 UTC — gpt2_halfN L2: fisher: certified widths [None]
+2026-09-09 11:30:25 UTC — gpt2_halfN L2: fisher: S=0.628 D=6 W_sparse=None widths=[None] (101s)
+2026-09-09 11:31:20 UTC — gpt2_halfN L2: l2: eff.rank 25; 4 closed blocks (K=[8, 8, 5, 2]), 1 qualify (mean excess/off-edge [26.3, 0.7, 0.5, 0.4]); gaps [23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34]
+2026-09-09 11:31:22 UTC — gpt2_halfN L2: l2: certified widths [60]
+2026-09-09 11:32:01 UTC — gpt2_halfN L2: l2: S=0.665 D=8 W_sparse=None widths=[60] (97s)
+2026-09-09 11:32:02 UTC — gpt2_halfN L2: done in 323s
+2026-09-09 11:32:42 UTC — gpt2_halfN L6: collected 200,000 fit tokens (40s); GPU 6.4 GB
+2026-09-09 11:33:43 UTC — gpt2_halfN L6: grams + 20-permutation null edge: fisher 0.002085, l2 0.001485 (61s)
+2026-09-09 11:33:58 UTC — gpt2_halfN L6: full-write ablation at all positions: dose 1 loss change +0.0436 nats/token, KL 0.0819
+2026-09-09 11:34:55 UTC — gpt2_halfN L6: fisher: eff.rank 1972; 1 closed blocks (K=[7]), 1 qualify (mean excess/off-edge [28.8]); gaps [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+2026-09-09 11:34:59 UTC — gpt2_halfN L6: fisher: certified widths [None]
+2026-09-09 11:35:37 UTC — gpt2_halfN L6: fisher: S=-0.233 D=7 W_sparse=None widths=[None] (99s)
+2026-09-09 11:36:28 UTC — gpt2_halfN L6: l2: eff.rank 2583; 4 closed blocks (K=[8, 7, 1, 1]), 4 qualify (mean excess/off-edge [19.6, 8.8, 5.2, 8.0]); gaps [15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28]
+2026-09-09 11:36:31 UTC — gpt2_halfN L6: l2: certified widths [None, None, None, None]
+2026-09-09 11:37:27 UTC — gpt2_halfN L6: l2: S=-0.061 D=17 W_sparse=None widths=[None, None, None, None] (110s)
+2026-09-09 11:37:27 UTC — gpt2_halfN L6: done in 325s
+2026-09-09 11:37:59 UTC — gpt2_halfN L10: collected 200,000 fit tokens (32s); GPU 6.4 GB
+2026-09-09 11:39:00 UTC — gpt2_halfN L10: grams + 20-permutation null edge: fisher 0.002897, l2 0.003856 (61s)
+2026-09-09 11:39:15 UTC — gpt2_halfN L10: full-write ablation at all positions: dose 1 loss change +0.0469 nats/token, KL 0.1418
+2026-09-09 11:40:13 UTC — gpt2_halfN L10: fisher: eff.rank 1825; 2 closed blocks (K=[3, 1]), 2 qualify (mean excess/off-edge [20.2, 20.1]); gaps [3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15]
+2026-09-09 11:40:17 UTC — gpt2_halfN L10: fisher: certified widths [8, None]
+2026-09-09 11:41:34 UTC — gpt2_halfN L10: fisher: S=0.006 D=4 W_sparse=-0.003 widths=[8, None] (139s)
+2026-09-09 11:42:25 UTC — gpt2_halfN L10: l2: eff.rank 2266; 5 closed blocks (K=[7, 8, 1, 2, 2]), 4 qualify (mean excess/off-edge [21.4, 8.5, 0.4, 5.1, 2.2]); gaps [16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29]
+2026-09-09 11:42:29 UTC — gpt2_halfN L10: l2: certified widths [54, None, None, None]
+2026-09-09 11:43:25 UTC — gpt2_halfN L10: l2: S=-0.061 D=19 W_sparse=None widths=[54, None, None, None] (111s)
+2026-09-09 11:43:25 UTC — gpt2_halfN L10: done in 358s
+2026-09-09 11:43:25 UTC — gpt2_halfN: census complete

results/census/gpt2_halfN/MONITOR.md

@@ -0,0 +1,64 @@
+
+- 2026-09-09 11:26:38 UTC — gpt2_halfN: census of layers [2, 6, 10]; tokens norm=50,048, fit=200,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 11:27:28 UTC — gpt2_halfN L2: collected 200,000 fit tokens (49s); GPU 6.4 GB
+
+- 2026-09-09 11:28:29 UTC — gpt2_halfN L2: grams + 20-permutation null edge: fisher 0.009505, l2 0.08932 (61s)
+
+- 2026-09-09 11:28:44 UTC — gpt2_halfN L2: full-write ablation at all positions: dose 1 loss change +0.1937 nats/token, KL 0.2623
+
+- 2026-09-09 11:29:42 UTC — gpt2_halfN L2: fisher: eff.rank 915; 1 closed blocks (K=[6]), 1 qualify (mean excess/off-edge [28.5]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]
+
+- 2026-09-09 11:29:46 UTC — gpt2_halfN L2: fisher: certified widths [None]
+
+- 2026-09-09 11:30:25 UTC — gpt2_halfN L2: fisher: S=0.628 D=6 W_sparse=None widths=[None] (101s)
+
+- 2026-09-09 11:31:20 UTC — gpt2_halfN L2: l2: eff.rank 25; 4 closed blocks (K=[8, 8, 5, 2]), 1 qualify (mean excess/off-edge [26.3, 0.7, 0.5, 0.4]); gaps [23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34]
+
+- 2026-09-09 11:31:22 UTC — gpt2_halfN L2: l2: certified widths [60]
+
+- 2026-09-09 11:32:01 UTC — gpt2_halfN L2: l2: S=0.665 D=8 W_sparse=None widths=[60] (97s)
+
+- 2026-09-09 11:32:02 UTC — gpt2_halfN L2: done in 323s
+
+- 2026-09-09 11:32:42 UTC — gpt2_halfN L6: collected 200,000 fit tokens (40s); GPU 6.4 GB
+
+- 2026-09-09 11:33:43 UTC — gpt2_halfN L6: grams + 20-permutation null edge: fisher 0.002085, l2 0.001485 (61s)
+
+- 2026-09-09 11:33:58 UTC — gpt2_halfN L6: full-write ablation at all positions: dose 1 loss change +0.0436 nats/token, KL 0.0819
+
+- 2026-09-09 11:34:55 UTC — gpt2_halfN L6: fisher: eff.rank 1972; 1 closed blocks (K=[7]), 1 qualify (mean excess/off-edge [28.8]); gaps [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 11:34:59 UTC — gpt2_halfN L6: fisher: certified widths [None]
+
+- 2026-09-09 11:35:37 UTC — gpt2_halfN L6: fisher: S=-0.233 D=7 W_sparse=None widths=[None] (99s)
+
+- 2026-09-09 11:36:28 UTC — gpt2_halfN L6: l2: eff.rank 2583; 4 closed blocks (K=[8, 7, 1, 1]), 4 qualify (mean excess/off-edge [19.6, 8.8, 5.2, 8.0]); gaps [15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28]
+
+- 2026-09-09 11:36:31 UTC — gpt2_halfN L6: l2: certified widths [None, None, None, None]
+
+- 2026-09-09 11:37:27 UTC — gpt2_halfN L6: l2: S=-0.061 D=17 W_sparse=None widths=[None, None, None, None] (110s)
+
+- 2026-09-09 11:37:27 UTC — gpt2_halfN L6: done in 325s
+
+- 2026-09-09 11:37:59 UTC — gpt2_halfN L10: collected 200,000 fit tokens (32s); GPU 6.4 GB
+
+- 2026-09-09 11:39:00 UTC — gpt2_halfN L10: grams + 20-permutation null edge: fisher 0.002897, l2 0.003856 (61s)
+
+- 2026-09-09 11:39:15 UTC — gpt2_halfN L10: full-write ablation at all positions: dose 1 loss change +0.0469 nats/token, KL 0.1418
+
+- 2026-09-09 11:40:13 UTC — gpt2_halfN L10: fisher: eff.rank 1825; 2 closed blocks (K=[3, 1]), 2 qualify (mean excess/off-edge [20.2, 20.1]); gaps [3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15]
+
+- 2026-09-09 11:40:17 UTC — gpt2_halfN L10: fisher: certified widths [8, None]
+
+- 2026-09-09 11:41:34 UTC — gpt2_halfN L10: fisher: S=0.006 D=4 W_sparse=-0.003 widths=[8, None] (139s)
+
+- 2026-09-09 11:42:25 UTC — gpt2_halfN L10: l2: eff.rank 2266; 5 closed blocks (K=[7, 8, 1, 2, 2]), 4 qualify (mean excess/off-edge [21.4, 8.5, 0.4, 5.1, 2.2]); gaps [16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29]
+
+- 2026-09-09 11:42:29 UTC — gpt2_halfN L10: l2: certified widths [54, None, None, None]
+
+- 2026-09-09 11:43:25 UTC — gpt2_halfN L10: l2: S=-0.061 D=19 W_sparse=None widths=[54, None, None, None] (111s)
+
+- 2026-09-09 11:43:25 UTC — gpt2_halfN L10: done in 358s
+
+- 2026-09-09 11:43:25 UTC — gpt2_halfN: census complete

results/census/gpt2_halfN/layers/L10_blocks.pt

@@ -0,0 +1,3 @@
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+oid sha256:be8566711bf7ad6fb014db66e7013632c34464d774266fef00604dcd57fe8f3f
+size 387445

results/census/gpt2_halfN/layers/L2.json

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results/census/qwen.log

@@ -0,0 +1,138 @@
+
+2026-09-09 07:02:42 UTC — qwen: census of layers [14]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+2026-09-09 07:09:05 UTC — qwen L14: collected 400,000 fit tokens (384s); GPU 17.4 GB
+2026-09-09 07:16:25 UTC — qwen L14: grams + 20-permutation null edge: fisher 0.002085, l2 0.001425 (440s)
+2026-09-09 07:17:37 UTC — qwen L14: full-write ablation at all positions: dose 1 loss change +0.0512 nats/token, KL 0.0786
+2026-09-09 07:20:13 UTC — qwen L14: fisher: eff.rank 2841; 2 closed blocks (K=[8, 7]), 2 qualify (mean excess/off-edge [36.7, 16.3]); gaps [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]
+2026-09-09 07:20:22 UTC — qwen L14: fisher: certified widths [None, None]
+2026-09-09 07:22:55 UTC — qwen L14: fisher: S=0.092 D=15 W_sparse=None widths=[None, None] (317s)
+2026-09-09 07:24:15 UTC — qwen L14: l2: eff.rank 3984; 3 closed blocks (K=[8, 2, 2]), 2 qualify (mean excess/off-edge [4.1, 2.4, 1.5]); gaps [10, 11, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23]
+2026-09-09 07:24:20 UTC — qwen L14: l2: certified widths [44, 35]
+2026-09-09 07:27:03 UTC — qwen L14: l2: S=0.122 D=10 W_sparse=None widths=[44, 35] (247s)
+2026-09-09 07:27:06 UTC — qwen L14: done in 1461s
+2026-09-09 07:27:06 UTC — qwen: census complete
+
+2026-09-09 07:27:16 UTC — qwen: census of layers [0, 2, 4, 6, 8, 10, 12, 16, 18, 20, 22, 23]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+2026-09-09 07:33:25 UTC — qwen L0: collected 400,000 fit tokens (369s); GPU 17.3 GB
+2026-09-09 07:37:38 UTC — qwen L0: grams + 20-permutation null edge: fisher 0.08431, l2 0.002413 (253s)
+2026-09-09 07:38:27 UTC — qwen L0: full-write ablation at all positions: dose 1 loss change +8.2540 nats/token, KL 8.6459
+2026-09-09 07:40:23 UTC — qwen L0: fisher: eff.rank 25; 3 closed blocks (K=[1, 1, 4]), 3 qualify (mean excess/off-edge [381.6, 137.8, 5.9]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]
+2026-09-09 07:40:32 UTC — qwen L0: fisher: certified widths [10, None, None]
+2026-09-09 07:43:26 UTC — qwen L0: fisher: S=0.118 D=6 W_sparse=None widths=[10, None, None] (298s)
+2026-09-09 07:44:46 UTC — qwen L0: l2: eff.rank 3536; 4 closed blocks (K=[8, 2, 2, 1]), 4 qualify (mean excess/off-edge [10.7, 17.4, 19.5, 35.8]); gaps [10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 23, 24]
+2026-09-09 07:44:52 UTC — qwen L0: l2: certified widths [12, 16, 50, 51]
+2026-09-09 07:48:13 UTC — qwen L0: l2: S=0.303 D=13 W_sparse=None widths=[12, 16, 50, 51] (288s)
+2026-09-09 07:48:14 UTC — qwen L0: done in 1257s
+2026-09-09 07:53:02 UTC — qwen L2: collected 400,000 fit tokens (288s); GPU 17.3 GB
+2026-09-09 07:57:15 UTC — qwen L2: grams + 20-permutation null edge: fisher 0.08574, l2 0.241 (253s)
+2026-09-09 07:58:04 UTC — qwen L2: full-write ablation at all positions: dose 1 loss change +6.3753 nats/token, KL 6.6010
+2026-09-09 08:00:00 UTC — qwen L2: fisher: eff.rank 141; 3 closed blocks (K=[2, 2, 3]), 3 qualify (mean excess/off-edge [18.0, 9.7, 5.5]); gaps [2, 3, 6, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+2026-09-09 08:00:09 UTC — qwen L2: fisher: certified widths [None, None, None]
+2026-09-09 08:03:03 UTC — qwen L2: fisher: S=0.947 D=7 W_sparse=None widths=[None, None, None] (298s)
+2026-09-09 08:04:28 UTC — qwen L2: l2: eff.rank 17; 8 closed blocks (K=[8, 1, 8, 1, 1, 1, 2, 2]), 2 qualify (mean excess/off-edge [3.2, 2.8, -0.2, -0.3, -0.0, 0.1, -0.1, 0.8]); gaps [9, 10, 11, 21, 22, 23, 24, 26, 27, 28, 29, 30]
+2026-09-09 08:04:33 UTC — qwen L2: l2: certified widths [13, 2]
+2026-09-09 08:09:08 UTC — qwen L2: l2: S=0.947 D=9 W_sparse=-0.001 widths=[13, 2] (365s)
+2026-09-09 08:09:09 UTC — qwen L2: done in 1254s
+2026-09-09 08:13:45 UTC — qwen L4: collected 400,000 fit tokens (276s); GPU 17.3 GB
+2026-09-09 08:17:58 UTC — qwen L4: grams + 20-permutation null edge: fisher 0.002977, l2 0.001612 (253s)
+2026-09-09 08:18:48 UTC — qwen L4: full-write ablation at all positions: dose 1 loss change +0.1730 nats/token, KL 0.2860
+2026-09-09 08:20:43 UTC — qwen L4: fisher: eff.rank 2229; 2 closed blocks (K=[3, 4]), 2 qualify (mean excess/off-edge [64.0, 28.2]); gaps [3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+2026-09-09 08:20:52 UTC — qwen L4: fisher: certified widths [None, None]
+2026-09-09 08:23:26 UTC — qwen L4: fisher: S=-0.066 D=7 W_sparse=None widths=[None, None] (278s)
+2026-09-09 08:24:48 UTC — qwen L4: l2: eff.rank 4179; 5 closed blocks (K=[8, 3, 4, 1, 1]), 3 qualify (mean excess/off-edge [10.0, 8.3, 5.6, 1.4, 0.4]); gaps [8, 9, 10, 14, 15, 16, 21, 22, 23, 24, 25, 26]
+2026-09-09 08:24:53 UTC — qwen L4: l2: certified widths [9, 9, 5]
+2026-09-09 08:29:53 UTC — qwen L4: l2: S=-0.068 D=15 W_sparse=0.011 widths=[9, 9, 5] (387s)
+2026-09-09 08:29:54 UTC — qwen L4: done in 1245s
+2026-09-09 08:34:18 UTC — qwen L6: collected 400,000 fit tokens (264s); GPU 17.3 GB
+2026-09-09 08:38:40 UTC — qwen L6: grams + 20-permutation null edge: fisher 0.001875, l2 0.001379 (262s)
+2026-09-09 08:39:30 UTC — qwen L6: full-write ablation at all positions: dose 1 loss change +0.1373 nats/token, KL 0.1925
+2026-09-09 08:41:25 UTC — qwen L6: fisher: eff.rank 2341; 2 closed blocks (K=[4, 3]), 2 qualify (mean excess/off-edge [72.1, 31.8]); gaps [4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+2026-09-09 08:41:34 UTC — qwen L6: fisher: certified widths [None, None]
+2026-09-09 08:44:08 UTC — qwen L6: fisher: S=0.054 D=7 W_sparse=None widths=[None, None] (277s)
+2026-09-09 08:45:29 UTC — qwen L6: l2: eff.rank 4266; 4 closed blocks (K=[7, 2, 2, 1]), 4 qualify (mean excess/off-edge [16.5, 31.1, 3.0, 3.6]); gaps [9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22]
+2026-09-09 08:45:35 UTC — qwen L6: l2: certified widths [9, 2, 29, None]
+2026-09-09 08:50:54 UTC — qwen L6: l2: S=0.027 D=12 W_sparse=0.002 widths=[9, 2, 29, None] (406s)
+2026-09-09 08:50:55 UTC — qwen L6: done in 1260s
+2026-09-09 08:55:07 UTC — qwen L8: collected 400,000 fit tokens (251s); GPU 17.3 GB
+2026-09-09 08:59:20 UTC — qwen L8: grams + 20-permutation null edge: fisher 0.002053, l2 0.001079 (253s)
+2026-09-09 09:00:10 UTC — qwen L8: full-write ablation at all positions: dose 1 loss change +0.0944 nats/token, KL 0.0915
+2026-09-09 09:02:04 UTC — qwen L8: fisher: eff.rank 2235; 2 closed blocks (K=[8, 1]), 2 qualify (mean excess/off-edge [57.5, 19.3]); gaps [8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20]
+2026-09-09 09:02:13 UTC — qwen L8: fisher: certified widths [None, None]
+2026-09-09 09:04:48 UTC — qwen L8: fisher: S=0.001 D=9 W_sparse=None widths=[None, None] (278s)
+2026-09-09 09:06:09 UTC — qwen L8: l2: eff.rank 4352; 6 closed blocks (K=[8, 7, 2, 1, 1, 1]), 6 qualify (mean excess/off-edge [18.5, 8.6, 5.2, 5.4, 18.9, 3.4]); gaps [17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 30]
+2026-09-09 09:06:15 UTC — qwen L8: l2: certified widths [None, None, None, None, None, None]
+2026-09-09 09:10:21 UTC — qwen L8: l2: S=0.116 D=20 W_sparse=None widths=[None, None, None, None, None, None] (333s)
+2026-09-09 09:10:22 UTC — qwen L8: done in 1166s
+2026-09-09 09:14:21 UTC — qwen L10: collected 400,000 fit tokens (239s); GPU 17.3 GB
+2026-09-09 09:18:34 UTC — qwen L10: grams + 20-permutation null edge: fisher 0.001616, l2 0.001083 (253s)
+2026-09-09 09:19:25 UTC — qwen L10: full-write ablation at all positions: dose 1 loss change +0.0677 nats/token, KL 0.0578
+2026-09-09 09:21:19 UTC — qwen L10: fisher: eff.rank 2107; 2 closed blocks (K=[8, 5]), 2 qualify (mean excess/off-edge [72.2, 18.4]); gaps [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]
+2026-09-09 09:21:28 UTC — qwen L10: fisher: certified widths [None, None]
+2026-09-09 09:24:02 UTC — qwen L10: fisher: S=0.116 D=13 W_sparse=None widths=[None, None] (277s)
+2026-09-09 09:25:23 UTC — qwen L10: l2: eff.rank 4149; 5 closed blocks (K=[8, 8, 2, 4, 1]), 2 qualify (mean excess/off-edge [5.9, 1.3, 0.3, 1.2, 7.2]); gaps [18, 19, 20, 21, 26, 27, 28, 29, 30, 31, 33, 34]
+2026-09-09 09:25:28 UTC — qwen L10: l2: certified widths [None, 61]
+2026-09-09 09:28:08 UTC — qwen L10: l2: S=0.118 D=9 W_sparse=None widths=[None, 61] (245s)
+2026-09-09 09:28:08 UTC — qwen L10: done in 1066s
+2026-09-09 09:31:56 UTC — qwen L12: collected 400,000 fit tokens (228s); GPU 17.3 GB
+2026-09-09 09:36:09 UTC — qwen L12: grams + 20-permutation null edge: fisher 0.001287, l2 0.001174 (253s)
+2026-09-09 09:36:58 UTC — qwen L12: full-write ablation at all positions: dose 1 loss change +0.0362 nats/token, KL 0.0530
+2026-09-09 09:38:51 UTC — qwen L12: fisher: eff.rank 2375; 1 closed blocks (K=[8]), 1 qualify (mean excess/off-edge [65.9]); gaps [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
+2026-09-09 09:39:00 UTC — qwen L12: fisher: certified widths [None]
+2026-09-09 09:41:13 UTC — qwen L12: fisher: S=-0.029 D=8 W_sparse=None widths=[None] (254s)
+2026-09-09 09:42:33 UTC — qwen L12: l2: eff.rank 4114; 4 closed blocks (K=[2, 1, 8, 5]), 4 qualify (mean excess/off-edge [17.1, 11.3, 5.8, 6.5]); gaps [2, 4, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27]
+2026-09-09 09:42:39 UTC — qwen L12: l2: certified widths [64, None, None, None]
+2026-09-09 09:45:58 UTC — qwen L12: l2: S=0.178 D=16 W_sparse=None widths=[64, None, None, None] (285s)
+2026-09-09 09:45:58 UTC — qwen L12: done in 1069s
+2026-09-09 09:49:21 UTC — qwen L16: collected 400,000 fit tokens (203s); GPU 17.3 GB
+2026-09-09 09:53:34 UTC — qwen L16: grams + 20-permutation null edge: fisher 0.001648, l2 0.001554 (253s)
+2026-09-09 09:54:24 UTC — qwen L16: full-write ablation at all positions: dose 1 loss change +0.1973 nats/token, KL 0.2549
+2026-09-09 09:56:18 UTC — qwen L16: fisher: eff.rank 2955; 1 closed blocks (K=[7]), 1 qualify (mean excess/off-edge [27.3]); gaps [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+2026-09-09 09:56:26 UTC — qwen L16: fisher: certified widths [None]
+2026-09-09 09:58:39 UTC — qwen L16: fisher: S=0.054 D=7 W_sparse=None widths=[None] (255s)
+2026-09-09 10:00:00 UTC — qwen L16: l2: eff.rank 3557; 4 closed blocks (K=[8, 2, 5, 1]), 4 qualify (mean excess/off-edge [14.3, 31.9, 5.0, 2.2]); gaps [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]
+2026-09-09 10:00:06 UTC — qwen L16: l2: certified widths [17, 55, 27, 25]
+2026-09-09 10:03:25 UTC — qwen L16: l2: S=0.103 D=16 W_sparse=None widths=[17, 55, 27, 25] (285s)
+2026-09-09 10:03:26 UTC — qwen L16: done in 1047s
+2026-09-09 10:06:37 UTC — qwen L18: collected 400,000 fit tokens (191s); GPU 17.3 GB
+2026-09-09 10:10:50 UTC — qwen L18: grams + 20-permutation null edge: fisher 0.002692, l2 0.001619 (253s)
+2026-09-09 10:11:40 UTC — qwen L18: full-write ablation at all positions: dose 1 loss change +0.1180 nats/token, KL 0.1334
+2026-09-09 10:13:35 UTC — qwen L18: fisher: eff.rank 3352; 1 closed blocks (K=[3]), 1 qualify (mean excess/off-edge [25.4]); gaps [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
+2026-09-09 10:13:44 UTC — qwen L18: fisher: certified widths [None]
+2026-09-09 10:15:57 UTC — qwen L18: fisher: S=0.028 D=3 W_sparse=None widths=[None] (256s)
+2026-09-09 10:17:18 UTC — qwen L18: l2: eff.rank 4068; 2 closed blocks (K=[8, 4]), 2 qualify (mean excess/off-edge [21.8, 19.0]); gaps [8, 9, 10, 15, 16, 17, 18, 19, 20, 21, 22, 23]
+2026-09-09 10:17:23 UTC — qwen L18: l2: certified widths [10, 6]
+2026-09-09 10:21:58 UTC — qwen L18: l2: S=0.002 D=12 W_sparse=0.013 widths=[10, 6] (361s)
+2026-09-09 10:21:59 UTC — qwen L18: done in 1112s
+2026-09-09 10:24:58 UTC — qwen L20: collected 400,000 fit tokens (179s); GPU 17.3 GB
+2026-09-09 10:29:11 UTC — qwen L20: grams + 20-permutation null edge: fisher 0.01261, l2 0.0189 (253s)
+2026-09-09 10:30:01 UTC — qwen L20: full-write ablation at all positions: dose 1 loss change +0.2412 nats/token, KL 0.3273
+2026-09-09 10:31:57 UTC — qwen L20: fisher: eff.rank 2300; 3 closed blocks (K=[3, 1, 3]), 3 qualify (mean excess/off-edge [40.1, 6.3, 4.3]); gaps [3, 5, 6, 7, 11, 12, 13, 14, 15, 16, 17, 18]
+2026-09-09 10:32:06 UTC — qwen L20: fisher: certified widths [3, 4, None]
+2026-09-09 10:38:19 UTC — qwen L20: fisher: S=-0.086 D=7 W_sparse=-0.015 widths=[3, 4, None] (497s)
+2026-09-09 10:39:42 UTC — qwen L20: l2: eff.rank 1756; 8 closed blocks (K=[4, 1, 1, 1, 1, 1, 1, 2]), 7 qualify (mean excess/off-edge [151.0, 34.9, 14.3, 31.2, 8.1, 4.2, -1.0, 2.3]); gaps [4, 6, 8, 10, 11, 12, 13, 15, 16, 17, 18, 19]
+2026-09-09 10:39:49 UTC — qwen L20: l2: certified widths [4, 1, 23, 1, 17, 18, 38]
+2026-09-09 10:49:11 UTC — qwen L20: l2: S=0.083 D=11 W_sparse=0.011 widths=[4, 1, 23, 1, 17, 18, 38] (652s)
+2026-09-09 10:49:12 UTC — qwen L20: done in 1632s
+2026-09-09 10:51:59 UTC — qwen L22: collected 400,000 fit tokens (167s); GPU 17.3 GB
+2026-09-09 10:56:12 UTC — qwen L22: grams + 20-permutation null edge: fisher 0.002544, l2 0.002614 (253s)
+2026-09-09 10:57:02 UTC — qwen L22: full-write ablation at all positions: dose 1 loss change +0.2297 nats/token, KL 0.3346
+2026-09-09 10:58:58 UTC — qwen L22: fisher: eff.rank 3143; 7 closed blocks (K=[5, 3, 2, 1, 1, 2, 3]), 7 qualify (mean excess/off-edge [12.2, 6.1, 5.8, 6.9, 4.9, 4.3, 3.1]); gaps [5, 9, 12, 14, 15, 16, 17, 18, 20, 23, 27, 28]
+2026-09-09 10:59:08 UTC — qwen L22: fisher: certified widths [36, None, None, None, 62, None, None]
+2026-09-09 11:03:23 UTC — qwen L22: fisher: S=0.093 D=17 W_sparse=None widths=[36, None, None, None, 62, None, None] (381s)
+2026-09-09 11:04:46 UTC — qwen L22: l2: eff.rank 3418; 8 closed blocks (K=[8, 4, 8, 6, 1, 2, 5, 2]), 5 qualify (mean excess/off-edge [6.0, 19.2, 5.3, 9.3, 1.3, 6.0, 1.6, 1.9]); gaps [12, 27, 28, 30, 33, 34, 35, 36, 37, 43, 46, 47]
+2026-09-09 11:04:52 UTC — qwen L22: l2: certified widths [11, 14, 19, 33, 19]
+2026-09-09 11:08:39 UTC — qwen L22: l2: S=0.104 D=28 W_sparse=None widths=[11, 14, 19, 33, 19] (316s)
+2026-09-09 11:08:40 UTC — qwen L22: done in 1167s
+2026-09-09 11:11:21 UTC — qwen L23: collected 400,000 fit tokens (161s); GPU 17.3 GB
+2026-09-09 11:15:34 UTC — qwen L23: grams + 20-permutation null edge: fisher 0.005967, l2 0.004633 (253s)
+2026-09-09 11:16:23 UTC — qwen L23: full-write ablation at all positions: dose 1 loss change +0.9041 nats/token, KL 1.0485
+2026-09-09 11:18:20 UTC — qwen L23: fisher: eff.rank 1431; 5 closed blocks (K=[2, 5, 4, 4, 3]), 5 qualify (mean excess/off-edge [29.0, 16.8, 12.0, 9.8, 8.9]); gaps [2, 3, 4, 10, 22, 23, 24, 25, 26, 27, 28, 29]
+2026-09-09 11:18:30 UTC — qwen L23: fisher: certified widths [None, None, None, None, None]
+2026-09-09 11:22:04 UTC — qwen L23: fisher: S=0.443 D=18 W_sparse=None widths=[None, None, None, None, None] (340s)
+2026-09-09 11:23:25 UTC — qwen L23: l2: eff.rank 1721; 8 closed blocks (K=[8, 7, 8, 8, 8, 5, 7, 5]), 2 qualify (mean excess/off-edge [24.0, 5.9, 0.7, -0.0, 1.5, 0.1, 0.6, 0.6]); gaps [15, 16, 17, 34, 43, 44, 50, 51]
+2026-09-09 11:23:30 UTC — qwen L23: l2: certified widths [44, None]
+2026-09-09 11:26:11 UTC — qwen L23: l2: S=0.333 D=15 W_sparse=None widths=[44, None] (247s)
+2026-09-09 11:26:12 UTC — qwen L23: done in 1051s
+2026-09-09 11:26:12 UTC — qwen: census complete
+
+2026-09-09 11:43:39 UTC — qwen: census of layers [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048

results/census/qwen/MONITOR.md

@@ -0,0 +1,498 @@
+
+- 2026-09-09 07:02:42 UTC — qwen: census of layers [14]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 07:09:05 UTC — qwen L14: collected 400,000 fit tokens (384s); GPU 17.4 GB
+
+- 2026-09-09 07:16:25 UTC — qwen L14: grams + 20-permutation null edge: fisher 0.002085, l2 0.001425 (440s)
+
+- 2026-09-09 07:17:37 UTC — qwen L14: full-write ablation at all positions: dose 1 loss change +0.0512 nats/token, KL 0.0786
+
+- 2026-09-09 07:20:13 UTC — qwen L14: fisher: eff.rank 2841; 2 closed blocks (K=[8, 7]), 2 qualify (mean excess/off-edge [36.7, 16.3]); gaps [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]
+
+- 2026-09-09 07:20:22 UTC — qwen L14: fisher: certified widths [None, None]
+
+- 2026-09-09 07:22:55 UTC — qwen L14: fisher: S=0.092 D=15 W_sparse=None widths=[None, None] (317s)
+
+- 2026-09-09 07:24:15 UTC — qwen L14: l2: eff.rank 3984; 3 closed blocks (K=[8, 2, 2]), 2 qualify (mean excess/off-edge [4.1, 2.4, 1.5]); gaps [10, 11, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23]
+
+- 2026-09-09 07:24:20 UTC — qwen L14: l2: certified widths [44, 35]
+
+- 2026-09-09 07:27:03 UTC — qwen L14: l2: S=0.122 D=10 W_sparse=None widths=[44, 35] (247s)
+
+- 2026-09-09 07:27:06 UTC — qwen L14: done in 1461s
+
+- 2026-09-09 07:27:06 UTC — qwen: census complete
+
+- 2026-09-09 07:27:16 UTC — qwen: census of layers [0, 2, 4, 6, 8, 10, 12, 16, 18, 20, 22, 23]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 07:33:25 UTC — qwen L0: collected 400,000 fit tokens (369s); GPU 17.3 GB
+
+- 2026-09-09 07:37:38 UTC — qwen L0: grams + 20-permutation null edge: fisher 0.08431, l2 0.002413 (253s)
+
+- 2026-09-09 07:38:27 UTC — qwen L0: full-write ablation at all positions: dose 1 loss change +8.2540 nats/token, KL 8.6459
+
+- 2026-09-09 07:40:23 UTC — qwen L0: fisher: eff.rank 25; 3 closed blocks (K=[1, 1, 4]), 3 qualify (mean excess/off-edge [381.6, 137.8, 5.9]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]
+
+- 2026-09-09 07:40:32 UTC — qwen L0: fisher: certified widths [10, None, None]
+
+- 2026-09-09 07:43:26 UTC — qwen L0: fisher: S=0.118 D=6 W_sparse=None widths=[10, None, None] (298s)
+
+- 2026-09-09 07:44:46 UTC — qwen L0: l2: eff.rank 3536; 4 closed blocks (K=[8, 2, 2, 1]), 4 qualify (mean excess/off-edge [10.7, 17.4, 19.5, 35.8]); gaps [10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 23, 24]
+
+- 2026-09-09 07:44:52 UTC — qwen L0: l2: certified widths [12, 16, 50, 51]
+
+- 2026-09-09 07:48:13 UTC — qwen L0: l2: S=0.303 D=13 W_sparse=None widths=[12, 16, 50, 51] (288s)
+
+- 2026-09-09 07:48:14 UTC — qwen L0: done in 1257s
+
+- 2026-09-09 07:53:02 UTC — qwen L2: collected 400,000 fit tokens (288s); GPU 17.3 GB
+
+- 2026-09-09 07:57:15 UTC — qwen L2: grams + 20-permutation null edge: fisher 0.08574, l2 0.241 (253s)
+
+- 2026-09-09 07:58:04 UTC — qwen L2: full-write ablation at all positions: dose 1 loss change +6.3753 nats/token, KL 6.6010
+
+- 2026-09-09 08:00:00 UTC — qwen L2: fisher: eff.rank 141; 3 closed blocks (K=[2, 2, 3]), 3 qualify (mean excess/off-edge [18.0, 9.7, 5.5]); gaps [2, 3, 6, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 08:00:09 UTC — qwen L2: fisher: certified widths [None, None, None]
+
+- 2026-09-09 08:03:03 UTC — qwen L2: fisher: S=0.947 D=7 W_sparse=None widths=[None, None, None] (298s)
+
+- 2026-09-09 08:04:28 UTC — qwen L2: l2: eff.rank 17; 8 closed blocks (K=[8, 1, 8, 1, 1, 1, 2, 2]), 2 qualify (mean excess/off-edge [3.2, 2.8, -0.2, -0.3, -0.0, 0.1, -0.1, 0.8]); gaps [9, 10, 11, 21, 22, 23, 24, 26, 27, 28, 29, 30]
+
+- 2026-09-09 08:04:33 UTC — qwen L2: l2: certified widths [13, 2]
+
+- 2026-09-09 08:09:08 UTC — qwen L2: l2: S=0.947 D=9 W_sparse=-0.001 widths=[13, 2] (365s)
+
+- 2026-09-09 08:09:09 UTC — qwen L2: done in 1254s
+
+- 2026-09-09 08:13:45 UTC — qwen L4: collected 400,000 fit tokens (276s); GPU 17.3 GB
+
+- 2026-09-09 08:17:58 UTC — qwen L4: grams + 20-permutation null edge: fisher 0.002977, l2 0.001612 (253s)
+
+- 2026-09-09 08:18:48 UTC — qwen L4: full-write ablation at all positions: dose 1 loss change +0.1730 nats/token, KL 0.2860
+
+- 2026-09-09 08:20:43 UTC — qwen L4: fisher: eff.rank 2229; 2 closed blocks (K=[3, 4]), 2 qualify (mean excess/off-edge [64.0, 28.2]); gaps [3, 4, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 08:20:52 UTC — qwen L4: fisher: certified widths [None, None]
+
+- 2026-09-09 08:23:26 UTC — qwen L4: fisher: S=-0.066 D=7 W_sparse=None widths=[None, None] (278s)
+
+- 2026-09-09 08:24:48 UTC — qwen L4: l2: eff.rank 4179; 5 closed blocks (K=[8, 3, 4, 1, 1]), 3 qualify (mean excess/off-edge [10.0, 8.3, 5.6, 1.4, 0.4]); gaps [8, 9, 10, 14, 15, 16, 21, 22, 23, 24, 25, 26]
+
+- 2026-09-09 08:24:53 UTC — qwen L4: l2: certified widths [9, 9, 5]
+
+- 2026-09-09 08:29:53 UTC — qwen L4: l2: S=-0.068 D=15 W_sparse=0.011 widths=[9, 9, 5] (387s)
+
+- 2026-09-09 08:29:54 UTC — qwen L4: done in 1245s
+
+- 2026-09-09 08:34:18 UTC — qwen L6: collected 400,000 fit tokens (264s); GPU 17.3 GB
+
+- 2026-09-09 08:38:40 UTC — qwen L6: grams + 20-permutation null edge: fisher 0.001875, l2 0.001379 (262s)
+
+- 2026-09-09 08:39:30 UTC — qwen L6: full-write ablation at all positions: dose 1 loss change +0.1373 nats/token, KL 0.1925
+
+- 2026-09-09 08:41:25 UTC — qwen L6: fisher: eff.rank 2341; 2 closed blocks (K=[4, 3]), 2 qualify (mean excess/off-edge [72.1, 31.8]); gaps [4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 08:41:34 UTC — qwen L6: fisher: certified widths [None, None]
+
+- 2026-09-09 08:44:08 UTC — qwen L6: fisher: S=0.054 D=7 W_sparse=None widths=[None, None] (277s)
+
+- 2026-09-09 08:45:29 UTC — qwen L6: l2: eff.rank 4266; 4 closed blocks (K=[7, 2, 2, 1]), 4 qualify (mean excess/off-edge [16.5, 31.1, 3.0, 3.6]); gaps [9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22]
+
+- 2026-09-09 08:45:35 UTC — qwen L6: l2: certified widths [9, 2, 29, None]
+
+- 2026-09-09 08:50:54 UTC — qwen L6: l2: S=0.027 D=12 W_sparse=0.002 widths=[9, 2, 29, None] (406s)
+
+- 2026-09-09 08:50:55 UTC — qwen L6: done in 1260s
+
+- 2026-09-09 08:55:07 UTC — qwen L8: collected 400,000 fit tokens (251s); GPU 17.3 GB
+
+- 2026-09-09 08:59:20 UTC — qwen L8: grams + 20-permutation null edge: fisher 0.002053, l2 0.001079 (253s)
+
+- 2026-09-09 09:00:10 UTC — qwen L8: full-write ablation at all positions: dose 1 loss change +0.0944 nats/token, KL 0.0915
+
+- 2026-09-09 09:02:04 UTC — qwen L8: fisher: eff.rank 2235; 2 closed blocks (K=[8, 1]), 2 qualify (mean excess/off-edge [57.5, 19.3]); gaps [8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20]
+
+- 2026-09-09 09:02:13 UTC — qwen L8: fisher: certified widths [None, None]
+
+- 2026-09-09 09:04:48 UTC — qwen L8: fisher: S=0.001 D=9 W_sparse=None widths=[None, None] (278s)
+
+- 2026-09-09 09:06:09 UTC — qwen L8: l2: eff.rank 4352; 6 closed blocks (K=[8, 7, 2, 1, 1, 1]), 6 qualify (mean excess/off-edge [18.5, 8.6, 5.2, 5.4, 18.9, 3.4]); gaps [17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 30]
+
+- 2026-09-09 09:06:15 UTC — qwen L8: l2: certified widths [None, None, None, None, None, None]
+
+- 2026-09-09 09:10:21 UTC — qwen L8: l2: S=0.116 D=20 W_sparse=None widths=[None, None, None, None, None, None] (333s)
+
+- 2026-09-09 09:10:22 UTC — qwen L8: done in 1166s
+
+- 2026-09-09 09:14:21 UTC — qwen L10: collected 400,000 fit tokens (239s); GPU 17.3 GB
+
+- 2026-09-09 09:18:34 UTC — qwen L10: grams + 20-permutation null edge: fisher 0.001616, l2 0.001083 (253s)
+
+- 2026-09-09 09:19:25 UTC — qwen L10: full-write ablation at all positions: dose 1 loss change +0.0677 nats/token, KL 0.0578
+
+- 2026-09-09 09:21:19 UTC — qwen L10: fisher: eff.rank 2107; 2 closed blocks (K=[8, 5]), 2 qualify (mean excess/off-edge [72.2, 18.4]); gaps [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]
+
+- 2026-09-09 09:21:28 UTC — qwen L10: fisher: certified widths [None, None]
+
+- 2026-09-09 09:24:02 UTC — qwen L10: fisher: S=0.116 D=13 W_sparse=None widths=[None, None] (277s)
+
+- 2026-09-09 09:25:23 UTC — qwen L10: l2: eff.rank 4149; 5 closed blocks (K=[8, 8, 2, 4, 1]), 2 qualify (mean excess/off-edge [5.9, 1.3, 0.3, 1.2, 7.2]); gaps [18, 19, 20, 21, 26, 27, 28, 29, 30, 31, 33, 34]
+
+- 2026-09-09 09:25:28 UTC — qwen L10: l2: certified widths [None, 61]
+
+- 2026-09-09 09:28:08 UTC — qwen L10: l2: S=0.118 D=9 W_sparse=None widths=[None, 61] (245s)
+
+- 2026-09-09 09:28:08 UTC — qwen L10: done in 1066s
+
+- 2026-09-09 09:31:56 UTC — qwen L12: collected 400,000 fit tokens (228s); GPU 17.3 GB
+
+- 2026-09-09 09:36:09 UTC — qwen L12: grams + 20-permutation null edge: fisher 0.001287, l2 0.001174 (253s)
+
+- 2026-09-09 09:36:58 UTC — qwen L12: full-write ablation at all positions: dose 1 loss change +0.0362 nats/token, KL 0.0530
+
+- 2026-09-09 09:38:51 UTC — qwen L12: fisher: eff.rank 2375; 1 closed blocks (K=[8]), 1 qualify (mean excess/off-edge [65.9]); gaps [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]
+
+- 2026-09-09 09:39:00 UTC — qwen L12: fisher: certified widths [None]
+
+- 2026-09-09 09:41:13 UTC — qwen L12: fisher: S=-0.029 D=8 W_sparse=None widths=[None] (254s)
+
+- 2026-09-09 09:42:33 UTC — qwen L12: l2: eff.rank 4114; 4 closed blocks (K=[2, 1, 8, 5]), 4 qualify (mean excess/off-edge [17.1, 11.3, 5.8, 6.5]); gaps [2, 4, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27]
+
+- 2026-09-09 09:42:39 UTC — qwen L12: l2: certified widths [64, None, None, None]
+
+- 2026-09-09 09:45:58 UTC — qwen L12: l2: S=0.178 D=16 W_sparse=None widths=[64, None, None, None] (285s)
+
+- 2026-09-09 09:45:58 UTC — qwen L12: done in 1069s
+
+- 2026-09-09 09:49:21 UTC — qwen L16: collected 400,000 fit tokens (203s); GPU 17.3 GB
+
+- 2026-09-09 09:53:34 UTC — qwen L16: grams + 20-permutation null edge: fisher 0.001648, l2 0.001554 (253s)
+
+- 2026-09-09 09:54:24 UTC — qwen L16: full-write ablation at all positions: dose 1 loss change +0.1973 nats/token, KL 0.2549
+
+- 2026-09-09 09:56:18 UTC — qwen L16: fisher: eff.rank 2955; 1 closed blocks (K=[7]), 1 qualify (mean excess/off-edge [27.3]); gaps [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 09:56:26 UTC �� qwen L16: fisher: certified widths [None]
+
+- 2026-09-09 09:58:39 UTC — qwen L16: fisher: S=0.054 D=7 W_sparse=None widths=[None] (255s)
+
+- 2026-09-09 10:00:00 UTC — qwen L16: l2: eff.rank 3557; 4 closed blocks (K=[8, 2, 5, 1]), 4 qualify (mean excess/off-edge [14.3, 31.9, 5.0, 2.2]); gaps [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]
+
+- 2026-09-09 10:00:06 UTC — qwen L16: l2: certified widths [17, 55, 27, 25]
+
+- 2026-09-09 10:03:25 UTC — qwen L16: l2: S=0.103 D=16 W_sparse=None widths=[17, 55, 27, 25] (285s)
+
+- 2026-09-09 10:03:26 UTC — qwen L16: done in 1047s
+
+- 2026-09-09 10:06:37 UTC — qwen L18: collected 400,000 fit tokens (191s); GPU 17.3 GB
+
+- 2026-09-09 10:10:50 UTC — qwen L18: grams + 20-permutation null edge: fisher 0.002692, l2 0.001619 (253s)
+
+- 2026-09-09 10:11:40 UTC — qwen L18: full-write ablation at all positions: dose 1 loss change +0.1180 nats/token, KL 0.1334
+
+- 2026-09-09 10:13:35 UTC — qwen L18: fisher: eff.rank 3352; 1 closed blocks (K=[3]), 1 qualify (mean excess/off-edge [25.4]); gaps [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
+
+- 2026-09-09 10:13:44 UTC — qwen L18: fisher: certified widths [None]
+
+- 2026-09-09 10:15:57 UTC — qwen L18: fisher: S=0.028 D=3 W_sparse=None widths=[None] (256s)
+
+- 2026-09-09 10:17:18 UTC — qwen L18: l2: eff.rank 4068; 2 closed blocks (K=[8, 4]), 2 qualify (mean excess/off-edge [21.8, 19.0]); gaps [8, 9, 10, 15, 16, 17, 18, 19, 20, 21, 22, 23]
+
+- 2026-09-09 10:17:23 UTC — qwen L18: l2: certified widths [10, 6]
+
+- 2026-09-09 10:21:58 UTC — qwen L18: l2: S=0.002 D=12 W_sparse=0.013 widths=[10, 6] (361s)
+
+- 2026-09-09 10:21:59 UTC — qwen L18: done in 1112s
+
+- 2026-09-09 10:24:58 UTC — qwen L20: collected 400,000 fit tokens (179s); GPU 17.3 GB
+
+- 2026-09-09 10:29:11 UTC — qwen L20: grams + 20-permutation null edge: fisher 0.01261, l2 0.0189 (253s)
+
+- 2026-09-09 10:30:01 UTC — qwen L20: full-write ablation at all positions: dose 1 loss change +0.2412 nats/token, KL 0.3273
+
+- 2026-09-09 10:31:57 UTC — qwen L20: fisher: eff.rank 2300; 3 closed blocks (K=[3, 1, 3]), 3 qualify (mean excess/off-edge [40.1, 6.3, 4.3]); gaps [3, 5, 6, 7, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 10:32:06 UTC — qwen L20: fisher: certified widths [3, 4, None]
+
+- 2026-09-09 10:38:19 UTC — qwen L20: fisher: S=-0.086 D=7 W_sparse=-0.015 widths=[3, 4, None] (497s)
+
+- 2026-09-09 10:39:42 UTC — qwen L20: l2: eff.rank 1756; 8 closed blocks (K=[4, 1, 1, 1, 1, 1, 1, 2]), 7 qualify (mean excess/off-edge [151.0, 34.9, 14.3, 31.2, 8.1, 4.2, -1.0, 2.3]); gaps [4, 6, 8, 10, 11, 12, 13, 15, 16, 17, 18, 19]
+
+- 2026-09-09 10:39:49 UTC — qwen L20: l2: certified widths [4, 1, 23, 1, 17, 18, 38]
+
+- 2026-09-09 10:49:11 UTC — qwen L20: l2: S=0.083 D=11 W_sparse=0.011 widths=[4, 1, 23, 1, 17, 18, 38] (652s)
+
+- 2026-09-09 10:49:12 UTC — qwen L20: done in 1632s
+
+- 2026-09-09 10:51:59 UTC — qwen L22: collected 400,000 fit tokens (167s); GPU 17.3 GB
+
+- 2026-09-09 10:56:12 UTC — qwen L22: grams + 20-permutation null edge: fisher 0.002544, l2 0.002614 (253s)
+
+- 2026-09-09 10:57:02 UTC — qwen L22: full-write ablation at all positions: dose 1 loss change +0.2297 nats/token, KL 0.3346
+
+- 2026-09-09 10:58:58 UTC — qwen L22: fisher: eff.rank 3143; 7 closed blocks (K=[5, 3, 2, 1, 1, 2, 3]), 7 qualify (mean excess/off-edge [12.2, 6.1, 5.8, 6.9, 4.9, 4.3, 3.1]); gaps [5, 9, 12, 14, 15, 16, 17, 18, 20, 23, 27, 28]
+
+- 2026-09-09 10:59:08 UTC — qwen L22: fisher: certified widths [36, None, None, None, 62, None, None]
+
+- 2026-09-09 11:03:23 UTC — qwen L22: fisher: S=0.093 D=17 W_sparse=None widths=[36, None, None, None, 62, None, None] (381s)
+
+- 2026-09-09 11:04:46 UTC — qwen L22: l2: eff.rank 3418; 8 closed blocks (K=[8, 4, 8, 6, 1, 2, 5, 2]), 5 qualify (mean excess/off-edge [6.0, 19.2, 5.3, 9.3, 1.3, 6.0, 1.6, 1.9]); gaps [12, 27, 28, 30, 33, 34, 35, 36, 37, 43, 46, 47]
+
+- 2026-09-09 11:04:52 UTC — qwen L22: l2: certified widths [11, 14, 19, 33, 19]
+
+- 2026-09-09 11:08:39 UTC — qwen L22: l2: S=0.104 D=28 W_sparse=None widths=[11, 14, 19, 33, 19] (316s)
+
+- 2026-09-09 11:08:40 UTC — qwen L22: done in 1167s
+
+- 2026-09-09 11:11:21 UTC — qwen L23: collected 400,000 fit tokens (161s); GPU 17.3 GB
+
+- 2026-09-09 11:15:34 UTC — qwen L23: grams + 20-permutation null edge: fisher 0.005967, l2 0.004633 (253s)
+
+- 2026-09-09 11:16:23 UTC — qwen L23: full-write ablation at all positions: dose 1 loss change +0.9041 nats/token, KL 1.0485
+
+- 2026-09-09 11:18:20 UTC — qwen L23: fisher: eff.rank 1431; 5 closed blocks (K=[2, 5, 4, 4, 3]), 5 qualify (mean excess/off-edge [29.0, 16.8, 12.0, 9.8, 8.9]); gaps [2, 3, 4, 10, 22, 23, 24, 25, 26, 27, 28, 29]
+
+- 2026-09-09 11:18:30 UTC — qwen L23: fisher: certified widths [None, None, None, None, None]
+
+- 2026-09-09 11:22:04 UTC — qwen L23: fisher: S=0.443 D=18 W_sparse=None widths=[None, None, None, None, None] (340s)
+
+- 2026-09-09 11:23:25 UTC — qwen L23: l2: eff.rank 1721; 8 closed blocks (K=[8, 7, 8, 8, 8, 5, 7, 5]), 2 qualify (mean excess/off-edge [24.0, 5.9, 0.7, -0.0, 1.5, 0.1, 0.6, 0.6]); gaps [15, 16, 17, 34, 43, 44, 50, 51]
+
+- 2026-09-09 11:23:30 UTC — qwen L23: l2: certified widths [44, None]
+
+- 2026-09-09 11:26:11 UTC — qwen L23: l2: S=0.333 D=15 W_sparse=None widths=[44, None] (247s)
+
+- 2026-09-09 11:26:12 UTC — qwen L23: done in 1051s
+
+- 2026-09-09 11:26:12 UTC — qwen: census complete
+
+- 2026-09-09 11:43:39 UTC — qwen: census of layers [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 12:34:18 UTC — qwen: census of layers [1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 12:39:13 UTC — qwen L1: collected 400,000 fit tokens (295s); GPU 17.3 GB
+
+- 2026-09-09 12:43:26 UTC — qwen L1: grams + 20-permutation null edge: fisher 0.08492, l2 0.001426 (253s)
+
+- 2026-09-09 12:44:16 UTC — qwen L1: full-write ablation at all positions: dose 1 loss change +0.2434 nats/token, KL 0.4448
+
+- 2026-09-09 12:46:12 UTC — qwen L1: fisher: eff.rank 68; 1 closed blocks (K=[1]), 1 qualify (mean excess/off-edge [181.2]); gaps [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]
+
+- 2026-09-09 12:46:20 UTC — qwen L1: fisher: certified widths [1]
+
+- 2026-09-09 12:50:27 UTC — qwen L1: fisher: S=0.161 D=1 W_sparse=0.153 widths=[1] (371s)
+
+- 2026-09-09 12:51:48 UTC — qwen L1: l2: eff.rank 4276; 3 closed blocks (K=[6, 3, 1]), 2 qualify (mean excess/off-edge [37.0, 15.7, -24.8]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]
+
+- 2026-09-09 12:51:53 UTC — qwen L1: l2: certified widths [42, 5]
+
+- 2026-09-09 12:56:35 UTC — qwen L1: l2: S=0.221 D=9 W_sparse=0.006 widths=[42, 5] (367s)
+
+- 2026-09-09 12:56:35 UTC — qwen L1: done in 1337s
+
+- 2026-09-09 13:01:17 UTC — qwen L3: collected 400,000 fit tokens (282s); GPU 17.3 GB
+
+- 2026-09-09 13:05:30 UTC — qwen L3: grams + 20-permutation null edge: fisher 0.043, l2 0.1545 (253s)
+
+- 2026-09-09 13:06:21 UTC — qwen L3: full-write ablation at all positions: dose 1 loss change +5.3986 nats/token, KL 5.6344
+
+- 2026-09-09 13:08:18 UTC — qwen L3: fisher: eff.rank 178; 3 closed blocks (K=[3, 1, 6]), 3 qualify (mean excess/off-edge [62.8, 14.5, 8.3]); gaps [3, 5, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]
+
+- 2026-09-09 13:08:27 UTC — qwen L3: fisher: certified widths [None, None, None]
+
+- 2026-09-09 13:11:23 UTC — qwen L3: fisher: S=0.958 D=10 W_sparse=None widths=[None, None, None] (301s)
+
+- 2026-09-09 13:12:48 UTC — qwen L3: l2: eff.rank 16; 6 closed blocks (K=[8, 4, 8, 2, 2, 1]), 1 qualify (mean excess/off-edge [29.9, 0.2, 0.2, 0.1, 0.0, 0.1]); gaps [8, 13, 14, 27, 28, 29, 30, 31, 32, 33, 34, 35]
+
+- 2026-09-09 13:12:53 UTC — qwen L3: l2: certified widths [10]
+
+- 2026-09-09 13:15:11 UTC — qwen L3: l2: S=0.959 D=8 W_sparse=None widths=[10] (228s)
+
+- 2026-09-09 13:15:12 UTC — qwen L3: done in 1116s
+
+- 2026-09-09 13:20:13 UTC — qwen L5: collected 400,000 fit tokens (301s); GPU 17.3 GB
+
+- 2026-09-09 13:25:33 UTC — qwen L5: grams + 20-permutation null edge: fisher 0.01823, l2 0.01142 (320s)
+
+- 2026-09-09 13:26:28 UTC — qwen L5: full-write ablation at all positions: dose 1 loss change +0.2133 nats/token, KL 0.2767
+
+- 2026-09-09 13:29:11 UTC — qwen L5: fisher: eff.rank 1310; 1 closed blocks (K=[6]), 1 qualify (mean excess/off-edge [37.7]); gaps [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17]
+
+- 2026-09-09 13:29:19 UTC — qwen L5: fisher: certified widths [None]
+
+- 2026-09-09 13:31:48 UTC — qwen L5: fisher: S=0.162 D=6 W_sparse=None widths=[None] (319s)
+
+- 2026-09-09 13:35:11 UTC — qwen L5: l2: eff.rank 2236; 7 closed blocks (K=[8, 1, 2, 1, 1, 2, 1]), 6 qualify (mean excess/off-edge [60.4, 27.0, 20.2, 20.9, 2.0, 2.0, 0.8]); gaps [8, 10, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]
+
+- 2026-09-09 13:35:30 UTC — qwen L5: l2: certified widths [8, 3, 3, 2, 29, 12]
+
+- 2026-09-09 13:50:45 UTC — qwen L5: l2: S=0.179 D=15 W_sparse=0.157 widths=[8, 3, 3, 2, 29, 12] (1137s)
+
+- 2026-09-09 13:50:45 UTC — qwen L5: done in 2133s
+
+- 2026-09-09 13:55:03 UTC — qwen L7: collected 400,000 fit tokens (258s); GPU 17.3 GB
+
+- 2026-09-09 13:59:16 UTC — qwen L7: grams + 20-permutation null edge: fisher 0.00193, l2 0.001847 (253s)
+
+- 2026-09-09 14:00:06 UTC — qwen L7: full-write ablation at all positions: dose 1 loss change +0.0919 nats/token, KL 0.1568
+
+- 2026-09-09 14:02:00 UTC — qwen L7: fisher: eff.rank 2318; 2 closed blocks (K=[8, 6]), 2 qualify (mean excess/off-edge [60.9, 23.6]); gaps [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25]
+
+- 2026-09-09 14:02:09 UTC — qwen L7: fisher: certified widths [None, None]
+
+- 2026-09-09 14:04:43 UTC — qwen L7: fisher: S=-0.125 D=14 W_sparse=None widths=[None, None] (276s)
+
+- 2026-09-09 14:06:05 UTC — qwen L7: l2: eff.rank 4192; 5 closed blocks (K=[4, 2, 8, 6, 2]), 4 qualify (mean excess/off-edge [16.6, 14.5, 5.9, 4.3, 1.8]); gaps [4, 5, 6, 7, 8, 9, 12, 27, 28, 29, 30, 31]
+
+- 2026-09-09 14:06:10 UTC — qwen L7: l2: certified widths [6, 8, 60, 46]
+
+- 2026-09-09 14:12:54 UTC — qwen L7: l2: S=0.002 D=20 W_sparse=0.064 widths=[6, 8, 60, 46] (491s)
+
+- 2026-09-09 14:12:54 UTC — qwen L7: done in 1328s
+
+- 2026-09-09 14:17:00 UTC — qwen L9: collected 400,000 fit tokens (246s); GPU 17.3 GB
+
+- 2026-09-09 14:21:13 UTC — qwen L9: grams + 20-permutation null edge: fisher 0.001398, l2 0.001259 (253s)
+
+- 2026-09-09 14:22:03 UTC — qwen L9: full-write ablation at all positions: dose 1 loss change +0.0643 nats/token, KL 0.0818
+
+- 2026-09-09 14:23:56 UTC — qwen L9: fisher: eff.rank 1985; 2 closed blocks (K=[8, 2]), 2 qualify (mean excess/off-edge [82.0, 28.7]); gaps [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]
+
+- 2026-09-09 14:24:05 UTC — qwen L9: fisher: certified widths [None, None]
+
+- 2026-09-09 14:26:39 UTC — qwen L9: fisher: S=-0.151 D=10 W_sparse=None widths=[None, None] (276s)
+
+- 2026-09-09 14:28:00 UTC — qwen L9: l2: eff.rank 4145; 5 closed blocks (K=[8, 1, 3, 2, 2]), 2 qualify (mean excess/off-edge [8.5, 2.3, 1.7, 0.6, 0.7]); gaps [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]
+
+- 2026-09-09 14:28:05 UTC — qwen L9: l2: certified widths [None, 44]
+
+- 2026-09-09 14:30:41 UTC — qwen L9: l2: S=0.021 D=9 W_sparse=None widths=[None, 44] (242s)
+
+- 2026-09-09 14:30:42 UTC — qwen L9: done in 1067s
+
+- 2026-09-09 14:34:35 UTC — qwen L11: collected 400,000 fit tokens (233s); GPU 17.3 GB
+
+- 2026-09-09 14:38:48 UTC — qwen L11: grams + 20-permutation null edge: fisher 0.002274, l2 0.002303 (253s)
+
+- 2026-09-09 14:39:38 UTC — qwen L11: full-write ablation at all positions: dose 1 loss change +0.0374 nats/token, KL 0.0607
+
+- 2026-09-09 14:42:02 UTC — qwen L11: fisher: eff.rank 2081; 2 closed blocks (K=[3, 8]), 2 qualify (mean excess/off-edge [100.3, 24.0]); gaps [3, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22]
+
+- 2026-09-09 14:42:11 UTC — qwen L11: fisher: certified widths [None, None]
+
+- 2026-09-09 14:44:45 UTC — qwen L11: fisher: S=0.004 D=11 W_sparse=None widths=[None, None] (306s)
+
+- 2026-09-09 14:46:15 UTC — qwen L11: l2: eff.rank 3405; 7 closed blocks (K=[8, 8, 8, 5, 7, 4, 2]), 6 qualify (mean excess/off-edge [1.6, 3.0, 2.1, 6.0, 2.3, 2.6, 4.3]); gaps [29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40]
+
+- 2026-09-09 14:46:22 UTC — qwen L11: l2: certified widths [11, 29, 42, None, None, None]
+
+- 2026-09-09 14:50:26 UTC — qwen L11: l2: S=0.087 D=34 W_sparse=None widths=[11, 29, 42, None, None, None] (341s)
+
+- 2026-09-09 14:50:27 UTC — qwen L11: done in 1184s
+
+- 2026-09-09 14:54:08 UTC — qwen L13: collected 400,000 fit tokens (221s); GPU 17.3 GB
+
+- 2026-09-09 14:58:49 UTC — qwen L13: grams + 20-permutation null edge: fisher 0.004431, l2 0.002666 (281s)
+
+- 2026-09-09 14:59:51 UTC — qwen L13: full-write ablation at all positions: dose 1 loss change +0.0208 nats/token, KL 0.0756
+
+- 2026-09-09 15:01:58 UTC — qwen L13: fisher: eff.rank 2683; 3 closed blocks (K=[5, 3, 2]), 3 qualify (mean excess/off-edge [33.4, 13.9, 10.8]); gaps [5, 6, 7, 8, 9, 15, 16, 17, 18, 19, 20, 21]
+
+- 2026-09-09 15:02:08 UTC — qwen L13: fisher: certified widths [None, None, None]
+
+- 2026-09-09 15:06:01 UTC — qwen L13: fisher: S=-0.533 D=10 W_sparse=None widths=[None, None, None] (369s)
+
+- 2026-09-09 15:08:04 UTC — qwen L13: l2: eff.rank 3909; 2 closed blocks (K=[8, 1]), 2 qualify (mean excess/off-edge [6.7, 14.1]); gaps [8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]
+
+- 2026-09-09 15:08:09 UTC — qwen L13: l2: certified widths [None, 3]
+
+- 2026-09-09 15:14:00 UTC — qwen L13: l2: S=-0.716 D=9 W_sparse=-0.001 widths=[None, 3] (478s)
+
+- 2026-09-09 15:14:00 UTC — qwen L13: done in 1413s
+
+- 2026-09-09 15:19:42 UTC — qwen L15: collected 400,000 fit tokens (341s); GPU 17.3 GB
+
+- 2026-09-09 15:24:34 UTC — qwen L15: grams + 20-permutation null edge: fisher 0.001819, l2 0.001589 (292s)
+
+- 2026-09-09 15:25:35 UTC — qwen L15: full-write ablation at all positions: dose 1 loss change +0.0922 nats/token, KL 0.1299
+
+- 2026-09-09 15:29:14 UTC — qwen L15: fisher: eff.rank 2825; 2 closed blocks (K=[3, 1]), 2 qualify (mean excess/off-edge [53.8, 16.2]); gaps [3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15]
+
+- 2026-09-09 15:29:29 UTC — qwen L15: fisher: certified widths [None, None]
+
+- 2026-09-09 15:32:16 UTC — qwen L15: fisher: S=0.003 D=4 W_sparse=None widths=[None, None] (400s)
+
+- 2026-09-09 15:33:36 UTC — qwen L15: l2: eff.rank 3764; 5 closed blocks (K=[8, 4, 2, 4, 2]), 2 qualify (mean excess/off-edge [18.0, 3.7, 1.7, 1.5, -0.7]); gaps [12, 13, 16, 17, 18, 23, 24, 25, 26, 27, 30, 31]
+
+- 2026-09-09 15:33:41 UTC — qwen L15: l2: certified widths [10, 38]
+
+- 2026-09-09 15:36:24 UTC — qwen L15: l2: S=0.048 D=12 W_sparse=None widths=[10, 38] (248s)
+
+- 2026-09-09 15:36:25 UTC — qwen L15: done in 1344s
+
+- 2026-09-09 15:39:56 UTC — qwen L17: collected 400,000 fit tokens (212s); GPU 17.3 GB
+
+- 2026-09-09 16:59:18 UTC — qwen: census of layers [17, 19, 21]; tokens norm=50,048, fit=400,000, match=50,048, eval=50,048, causal=50,048
+
+- 2026-09-09 17:03:39 UTC — qwen L17: collected 400,000 fit tokens (262s); GPU 17.3 GB
+
+- 2026-09-09 17:08:46 UTC — qwen L17: grams + 20-permutation null edge: fisher 0.003373, l2 0.002941 (307s)
+
+- 2026-09-09 17:10:09 UTC — qwen L17: full-write ablation at all positions: dose 1 loss change +0.1123 nats/token, KL 0.1686
+
+- 2026-09-09 17:16:06 UTC — qwen L17: fisher: eff.rank 2907; 3 closed blocks (K=[4, 1, 2]), 2 qualify (mean excess/off-edge [31.7, 1.0, 14.3]); gaps [0, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18]
+
+- 2026-09-09 17:16:18 UTC — qwen L17: fisher: certified widths [None, None]
+
+- 2026-09-09 17:20:01 UTC — qwen L17: fisher: S=-0.104 D=6 W_sparse=None widths=[None, None] (591s)
+
+- 2026-09-09 17:23:29 UTC — qwen L17: l2: eff.rank 3656; 6 closed blocks (K=[8, 4, 4, 1, 2, 1]), 5 qualify (mean excess/off-edge [68.7, 21.2, 13.0, 9.2, 5.2, -2.6]); gaps [12, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28]
+
+- 2026-09-09 17:23:40 UTC — qwen L17: l2: certified widths [8, 5, 8, 11, 5]
+
+- 2026-09-09 17:38:38 UTC — qwen L17: l2: S=0.008 D=19 W_sparse=0.024 widths=[8, 5, 8, 11, 5] (1117s)
+
+- 2026-09-09 17:38:39 UTC — qwen L17: done in 2360s
+
+- 2026-09-09 17:44:04 UTC — qwen L19: collected 400,000 fit tokens (325s); GPU 17.3 GB
+
+- 2026-09-09 17:51:10 UTC — qwen L19: grams + 20-permutation null edge: fisher 0.002545, l2 0.002861 (426s)
+
+- 2026-09-09 17:52:21 UTC — qwen L19: full-write ablation at all positions: dose 1 loss change +0.1758 nats/token, KL 0.2619
+
+- 2026-09-09 17:55:46 UTC — qwen L19: fisher: eff.rank 3106; 5 closed blocks (K=[3, 3, 2, 1, 2]), 5 qualify (mean excess/off-edge [28.5, 12.3, 8.1, 8.2, 5.4]); gaps [3, 7, 11, 14, 15, 16, 17, 18, 19, 20, 21, 22]
+
+- 2026-09-09 17:56:16 UTC — qwen L19: fisher: certified widths [None, None, None, 60, None]
+
+- 2026-09-09 18:01:08 UTC — qwen L19: fisher: S=-0.036 D=11 W_sparse=None widths=[None, None, None, 60, None] (526s)
+
+- 2026-09-09 18:05:02 UTC — qwen L19: l2: eff.rank 3644; 6 closed blocks (K=[8, 8, 4, 1, 1, 2]), 5 qualify (mean excess/off-edge [55.8, 16.7, 4.2, -11.9, 2.6, 5.2]); gaps [20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32]
+
+- 2026-09-09 18:05:19 UTC — qwen L19: l2: certified widths [12, 17, 22, 9, 13]
+
+- 2026-09-09 18:11:25 UTC — qwen L19: l2: S=0.101 D=23 W_sparse=None widths=[12, 17, 22, 9, 13] (617s)
+
+- 2026-09-09 18:11:26 UTC — qwen L19: done in 1966s
+
+- 2026-09-09 18:16:04 UTC — qwen L21: collected 400,000 fit tokens (278s); GPU 17.3 GB
+
+- 2026-09-09 18:20:21 UTC — qwen L21: grams + 20-permutation null edge: fisher 0.05437, l2 0.1037 (257s)
+
+- 2026-09-09 18:21:13 UTC — qwen L21: full-write ablation at all positions: dose 1 loss change +0.8536 nats/token, KL 0.9006
+
+- 2026-09-09 18:23:10 UTC — qwen L21: fisher: eff.rank 175; 2 closed blocks (K=[2, 1]), 1 qualify (mean excess/off-edge [29.6, 0.8]); gaps [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]
+
+- 2026-09-09 18:23:19 UTC — qwen L21: fisher: certified widths [3]
+
+- 2026-09-09 18:27:24 UTC — qwen L21: fisher: S=0.697 D=2 W_sparse=0.694 widths=[3] (370s)
+
+- 2026-09-09 18:28:48 UTC — qwen L21: l2: eff.rank 48; 6 closed blocks (K=[8, 2, 1, 6, 3, 1]), 4 qualify (mean excess/off-edge [25.7, 7.9, 6.5, 2.1, -0.5, -0.1]); gaps [10, 12, 19, 20, 21, 22, 23, 24, 25, 29, 31, 32]
+
+- 2026-09-09 18:28:53 UTC — qwen L21: l2: certified widths [14, 2, 1, 14]
+
+- 2026-09-09 18:35:41 UTC — qwen L21: l2: S=0.733 D=17 W_sparse=0.0 widths=[14, 2, 1, 14] (497s)
+
+- 2026-09-09 18:35:41 UTC — qwen L21: done in 1455s
+
+- 2026-09-09 18:35:41 UTC — qwen: census complete

results/census/qwen/bridge_L14.log

@@ -0,0 +1,114 @@
+
+{
+ "layer": 14,
+ "model": "Qwen/Qwen2.5-0.5B",
+ "features_evaluated": 1792,
+ "reproducible": 40,
+ "reproducibility_cosine": 0.8,
+ "reproducibility_min_refits": 6,
+ "bootstrap_refits": 12,
+ "qualifying_fisher_directions": 15,
+ "auc": {
+  "fisher_blocks": {
+   "auc": 0.3400399543378995,
+   "median_reproducible": 0.0008876916253939271,
+   "median_other": 0.00134965346660465,
+   "spearman": -0.008237136154343527,
+   "mean": 0.0021374414209276438
+  },
+  "l2_analogue": {
+   "auc": 0.8693778538812785,
+   "median_reproducible": 0.0006473598768934608,
+   "median_other": 3.6613309930544347e-05,
+   "spearman": 0.25623152521886083,
+   "mean": 0.0014957260573282838
+  },
+  "random_subspace_same_D": {
+   "auc": 0.41592465753424657,
+   "median_reproducible": 0.0011091178748756647,
+   "median_other": 0.0012618640903383493,
+   "spearman": -0.014288686270737217,
+   "mean": 0.0018469338538125157
+  }
+ },
+ "seconds": 498.71988129615784,
+ "matched_count": {
+  "C": [
+   1,
+   2,
+   4,
+   8,
+   16,
+   32,
+   64
+  ],
+  "methods": [
+   "fcm_fisher",
+   "fcm_l2",
+   "sae",
+   "pca",
+   "mass_neurons"
+  ],
+  "loss_recovered": {
+   "fcm_fisher": {
+    "1": 0.0002233664332631502,
+    "2": 0.10968182627958856,
+    "4": 0.1665758806853389,
+    "8": 0.08091093227165691,
+    "16": 0.07246231720163587,
+    "32": 0.145994895588053,
+    "64": 0.17828010751022427
+   },
+   "fcm_l2": {
+    "1": 0.0012875278844962645,
+    "2": 0.02763014701326061,
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+    "16": 0.095671996994671,
+    "32": 0.14991353869748425,
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+    "16": 0.11230461488412447,
+    "32": 0.009172546938902015,
+    "64": 0.11238894612095673
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+    "32": -0.014522787829966521,
+    "64": 0.0687835969450985
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+  },
+  "full_effect": {
+   "mean_loss_change": 0.05118260532617569,
+   "loss_change_se": 0.002028597053140402,
+   "mean_kl": 0.07863341271877289,
+   "positions": 49266
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+  "reproducibility_weighted": {
+   "sae_reproducible_top1": 0.005410560478374071,
+   "sae_reproducible_top2": 0.007832832445160531,
+   "sae_reproducible_top4": 0.027404940977816317,
+   "sae_reproducible_top8": 0.029678979737266076,
+   "sae_reproducible_top16": 0.039229419692650924,
+   "sae_reproducible_top32": 0.055053580834056315,
+   "fisher_qualifying_blocks_D15": 0.11251384542694265
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+  "reproducibility_weighted_note": "sae_reproducible_top1: 0.005, sae_reproducible_top2: 0.008, sae_reproducible_top4: 0.027, sae_reproducible_top8:

results/census/qwen/bridge_L14_strict.log

@@ -0,0 +1,110 @@
+
+{
+ "layer": 14,
+ "model": "Qwen/Qwen2.5-0.5B",
+ "features_evaluated": 1792,
+ "reproducible": 0,
+ "reproducibility_cosine": 0.9,
+ "reproducibility_min_refits": 12,
+ "bootstrap_refits": 12,
+ "qualifying_fisher_directions": 15,
+ "auc": {
+  "fisher_blocks": {
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+   "median_reproducible": null,
+   "median_other": 0.0013336046831682324,
+   "spearman": -0.09864380788023347,
+   "mean": 0.0021374414209276438
+  },
+  "l2_analogue": {
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+   "median_reproducible": null,
+   "median_other": 3.8425852835644037e-05,
+   "spearman": 0.18333018591241299,
+   "mean": 0.0014957260573282838
+  },
+  "random_subspace_same_D": {
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+   "median_reproducible": null,
+   "median_other": 0.001257485942915082,
+   "spearman": -0.06899652529002821,
+   "mean": 0.0018469338538125157
+  }
+ },
+ "seconds": 429.63279724121094,
+ "matched_count": {
+  "C": [
+   1,
+   2,
+   4,
+   8,
+   16,
+   32,
+   64
+  ],
+  "methods": [
+   "fcm_fisher",
+   "fcm_l2",
+   "sae",
+   "pca",
+   "mass_neurons"
+  ],
+  "loss_recovered": {
+   "fcm_fisher": {
+    "1": 0.0002233664332631502,
+    "2": 0.10968182627958856,
+    "4": 0.1665758806853389,
+    "8": 0.08091093227165691,
+    "16": 0.07246231720163587,
+    "32": 0.145994895588053,
+    "64": 0.17828010751022427
+   },
+   "fcm_l2": {
+    "1": 0.0012875278844962645,
+    "2": 0.02763014701326061,
+    "4": 0.029814529371669396,
+    "8": 0.12130172186764154,
+    "16": 0.095671996994671,
+    "32": 0.14991353869748425,
+    "64": 0.1001509442000248
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+   "sae": {
+    "1": 0.015866084706902983,
+    "2": 0.01662951961209569,
+    "4": 0.01720221681744949,
+    "8": 0.016896552391870157,
+    "16": 0.11230461488412447,
+    "32": 0.009172546938902015,
+    "64": 0.11238894612095673
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+    "64": 0.4014387141374396
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+  "full_effect": {
+   "mean_loss_change": 0.05118260532617569,
+   "loss_change_se": 0.002028597053140402,
+   "mean_kl": 0.07863341271877289,
+   "positions": 49266
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+  "reproducibility_weighted": {
+   "fisher_qualifying_blocks_D15": 0.11251384542694265
+  },
+  "reproducibility_weighted_note": "fisher_qualifying_blocks_D15: 0.113"
+ }
+}