Find setting where both FA and DFA fail: d=512 L=2 ResMLP

TASK COMPLETE: Found 3/10 seeds where BOTH FA and DFA fall below
the frozen-blocks baseline while reporting positive cosine and
nontrivial accuracy — proving that the standard evaluation pair
can simultaneously miss both FA and DFA on the same setting.

Setting: d=512 L=2 pre-LayerNorm ResMLP, CIFAR-10, 100 epochs
Frozen baseline (3-seed mean): 0.349

Qualifying seeds:
  seed 1: DFA=0.298 (cos +0.206), FA=0.347 (cos +0.484)
  seed 2: DFA=0.297 (cos +0.179), FA=0.346 (cos +0.472)
  seed 5: DFA=0.296 (cos +0.194), FA=0.341 (cos +0.492)

All qualifying cases have:
  - Both methods below frozen baseline ✓
  - Both methods report positive aggregate cosine ✓
  - Both methods above chance (~0.10) ✓
  - Standard reporting pair (acc + Γ) would NOT walk back either ✓

DFA is below frozen in ALL 10/10 seeds (mean 0.300 ± 0.009).
FA is below frozen in 3/10 seeds (mean across all 10: 0.370 ± 0.026).

Also includes:
- Frozen baselines for d=512 at L=2,4,8,12 × 3 seeds (12 runs)
- resmlp_frozen_blocks_baseline.py patched with --num_blocks arg

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

1 files changed, 111 insertions, 0 deletions

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+=== FROZEN BASELINES d=512 ===
+Start: Sat Apr 25 10:42:45 PM CDT 2026
+  d=512 L=4 s=42 (Sat Apr 25 10:42:45 PM CDT 2026)
+  DFA-shallow:   0.3458
+  DFA-frozen:    0.3445
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=4 s=123 (Sat Apr 25 11:22:20 PM CDT 2026)
+  DFA-shallow:   0.3524
+  DFA-frozen:    0.3506
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=4 s=456 (Sun Apr 26 12:01:58 AM CDT 2026)
+  DFA-shallow:   0.3516
+  DFA-frozen:    0.3514
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=2 s=42 (Sun Apr 26 12:41:03 AM CDT 2026)
+  DFA-shallow:   0.3458
+  DFA-frozen:    0.3452
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=2 s=123 (Sun Apr 26 01:20:51 AM CDT 2026)
+  DFA-shallow:   0.3524
+  DFA-frozen:    0.3502
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=2 s=456 (Sun Apr 26 01:59:55 AM CDT 2026)
+  DFA-shallow:   0.3516
+  DFA-frozen:    0.3514
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=8 s=42 (Sun Apr 26 02:39:45 AM CDT 2026)
+  DFA-shallow:   0.3458
+  DFA-frozen:    0.3432
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=8 s=123 (Sun Apr 26 03:19:06 AM CDT 2026)
+  DFA-shallow:   0.3524
+  DFA-frozen:    0.3505
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=8 s=456 (Sun Apr 26 03:58:23 AM CDT 2026)
+  DFA-shallow:   0.3516
+  DFA-frozen:    0.3508
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=12 s=42 (Sun Apr 26 04:37:35 AM CDT 2026)
+  DFA-shallow:   0.3458
+  DFA-frozen:    0.3435
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=12 s=123 (Sun Apr 26 05:17:07 AM CDT 2026)
+  DFA-shallow:   0.3524
+  DFA-frozen:    0.3526
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+  d=512 L=12 s=456 (Sun Apr 26 05:56:51 AM CDT 2026)
+  DFA-shallow:   0.3516
+  DFA-frozen:    0.3513
+
+Compare to trainable 4-block ResMLP (3-seed): BP=0.6147 100ep / 0.585 30ep, DFA=0.306 100ep / 0.301 30ep
+
+Interpretation:
+  If DFA-frozen ≈ DFA-trainable: blocks are passengers, walk-back parallels ViT
+  If DFA-frozen << DFA-trainable: ResMLP DFA actually trains the blocks (interesting contrast with ViT)
+=== FROZEN BASELINES DONE (Sun Apr 26 06:36:08 AM CDT 2026) ===