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<title>faeval.git/results/vanilla_dfa_early_ckpts/per_layer_cos_3seed.json, branch master</title>
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<entry>
<title>paper v2.30: fix layer-0 cosine numbers + add per-seed appendix M</title>
<updated>2026-04-08T22:31:09+00:00</updated>
<author>
<name>YurenHao0426</name>
<email>Blackhao0426@gmail.com</email>
</author>
<published>2026-04-08T22:31:09+00:00</published>
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<content type='text'>
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) &lt;noreply@anthropic.com&gt;
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<pre>
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) &lt;noreply@anthropic.com&gt;
</pre>
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</content>
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