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authorYurenHao0426 <Blackhao0426@gmail.com>2026-04-08 00:47:38 -0500
committerYurenHao0426 <Blackhao0426@gmail.com>2026-04-08 00:47:38 -0500
commitdf9f69bc9172b3473be144ff8a17370bc7a68e64 (patch)
treed669bf8c1aa90ac7a3357805f88f870045c260eb /protocol/PAPER_OUTLINE.md
parent5b7f83ae5240c78013c084cf2e24ce5a5f572c42 (diff)
MAJOR: penalized DFA deep-layer cosine is +0.17, NOT zero
Direct deep-block credit measurement on penalized DFA s42 checkpoint (lam=1e-2, 30 epochs, just trained): per-layer cos(e_T B^T, BP grad) — TRAINING Bs, no eps clamp: l0: +0.316 (±0.188) ||g||=9.18e-7 ||a||=4.53 l1: +0.169 (±0.087) ||g||=8.87e-7 ||a||=4.57 l2: +0.151 (±0.084) ||g||=8.77e-7 ||a||=4.50 l3: +0.165 (±0.099) ||g||=8.73e-7 ||a||=4.64 l4: +0.166 (±0.098) ||g||=8.69e-7 ||a||=4.64 layer-mean: +0.193 Compare to vanilla DFA (existing measurement, scale-broken regime): l0: +0.42 l1-4: ~0 (essentially zero) CRITICAL INTERPRETATION: The penalty doesn't just fix scale, it ALSO restores deep-layer direction quality from ~0 to ~0.17. This contradicts the prior 'two failure modes' framing where I assumed direction would remain broken even after scale fix. The honest story is: - vanilla DFA: scale catastrophic, BP grad at floor, cosine measurement DEGENERATE (cos ~0 is noise dominance, not 'no alignment') - penalized DFA: scale fixed, BP grad healthy, cosine measurement INTERPRETABLE — and the value is +0.17 on deep layers (partially aligned, much less than BP's self-cosine of 1.0) - the +0.17 alignment explains why penalized DFA gets 0.36 (60% of BP's 0.61) — partial credit gives partial training, not zero training The 'second failure mode' claim is wrong. There's ONE unified failure mode (scale + measurement degeneracy), and the penalty rescues BOTH. The remaining gap to BP is 'partial credit quality', not a separate failure mode.
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