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authorYurenHao0426 <Blackhao0426@gmail.com>2026-04-08 17:31:09 -0500
committerYurenHao0426 <Blackhao0426@gmail.com>2026-04-08 17:31:09 -0500
commit61d483e429f4fead0e44805eba0f643b7464c6e9 (patch)
tree41c207ba3412928d564da7418b113831696478ef /protocol/examples/audit_table.py
parent4b731f824e4a4ee8606aa472a9e5adc4021991b8 (diff)
paper v2.30: fix layer-0 cosine numbers + add per-seed appendix M
Found a numerical error in §4 ¶3: the layer-0 vanilla DFA cosines were listed as +0.42, +0.45, +0.39 across seeds 42/123/456 but the actual re-measurement on the saved early-epoch checkpoints gives +0.421, +0.436, +0.418 (the s456 value was off by 0.03). The deep-mean numbers in Table 2 (-0.008 ± 0.013) were already correct. Changes: - §4 ¶3: layer-0 trio updated to +0.42, +0.44, +0.42 across seeds and cite now points to a new per-seed appendix. - New Appendix M (Layer-0 Dominance): 6-row table of per-seed per-layer cosines on vanilla DFA early checkpoints (3 seeds × ep 1, 2), with per-layer ||g||. Documents the layer-0 dominance pattern that drives the headline aggregate Γ on these checkpoints. - results/vanilla_dfa_early_ckpts/per_layer_cos_3seed.json: machine- readable dump of all 6 measurements for future audit. - §7 compressed (~30 words trimmed across the closing paragraph) and Figure 3 width 0.92 → 0.82 to keep main content at exactly 9 pages after the appendix addition. Verified: 9 pages main + refs on p10, 18 total, 0 overfull boxes. Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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