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s42: (a)+(b) fire at epoch 4, DFA final acc 0.3076
s123: (a)+(b) fire at epoch 4, DFA final acc 0.3203
s456: (a)+(b) fire at epoch 3, DFA final acc 0.2998
BP never fires on any seed (final acc 0.61-0.63).
The 'protocol catches it 96 epochs early' finding is fully reproducible
across seeds.
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Replays per-epoch logged data from results/snapshot_evolution_v2/ through
the protocol thresholds.
Result: diagnostics (a) ||h_l|| explosion AND (b) ||g_L|| at floor BOTH
first fire at epoch 4 of DFA training. At that point, DFA test acc is
0.308 — its final value at epoch 100 is also 0.308. The protocol could
have walked back the headline 96 epochs before training finished.
DFA's gamma hovers at 0.087-0.107 for all 100 epochs. A reviewer looking
at acc+gamma would conclude 'DFA is hovering at 31% acc with ~0.10
alignment, both reasonable'. Wrong on both counts.
BP never fires any diagnostic at any epoch. Stays bounded at ||h_L||~200,
||g_L||~3-5e-5, accuracy climbs to 0.61.
This is the temporal validation of decision utility: the protocol catches
the pathology AS IT HAPPENS, not just retrospectively.
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3-seed random init ResMLP gives chance accuracy (~10%) but the protocol
verdict is 'trustworthy' on all 3 seeds:
- residual norms ~8.7 across all layers (no growth, bounded)
- BP gradient norms ~8e-3 (healthy, well above 1e-7 floor)
- cross-batch stability 0.08-0.18 (in the BP/EP range)
This is the answer to the likely reviewer question: 'is your protocol just
flagging anything that doesn't perform well?' Answer: no. Random init is
at chance and the protocol passes it. The walked-back trained methods are
walked back because of the *measurements*, not because of the accuracy.
Notable: random init g-norms (8e-3) are actually HIGHER than BP-trained
ones (4e-4) — BP training reduces the gradient magnitude as loss decreases.
So the protocol distinguishes 3 distinct regimes: (1) untrained healthy,
(2) trained-and-still-healthy (BP/EP), (3) trained-into-pathology (DFA/SB/CB).
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3 seeds × 5 methods × 4 diagnostics = 60 measurements. Key reproducibility
findings:
- BP: trustworthy on all 3 seeds (acc 0.61-0.62, h_L ~200, g_L ~3-4e-4)
- EP: trustworthy on all 3 seeds (acc 0.29-0.36, h_L 3-8e3, g_L ~1e-4)
- DFA, SB, CB: walked back on all 3 seeds × all 3 of (a)/(b)/(d)
Diagnostic (c) is bimodal across seeds — confirms the prior memory finding:
- DFA s42=0.047 (noise), s123=0.436 (drift), s456=-0.005 (noise)
- SB s42=0.992 (drift), s123=0.561 (drift), s456=0.035 (noise)
- CB s42=0.352 (drift), s123=0.250 (~edge), s456=0.518 (drift)
(c) catches different methods on different seeds. (a)/(b)/(d) catch all 3
failing methods on all 3 seeds — robust binary detection.
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Builds on the 5-method audit JSON. For each method, evaluates 7 reporting
strategies (S0=acc only, S1=+Γ field standard, S2-S5=+single diagnostic,
S_full=full protocol), and emits the verdict each strategy would have
reached.
Result: 3 of 5 methods (DFA/SB/CB) are walked back by S_full but NOT by S1.
Each of (a)scale, (b)floor, (d)frozen is independently sufficient for
binary detection of those 3 failures. Diagnostic (c)stability adds
sub-mode discrimination (drift vs noise) but not new positive detections.
This is the §3 protocol decision-utility evidence.
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Trains both vanilla DFA (lam=0) and penalized DFA (lam=1e-2) from the same
seed, then directly measures the per-layer cosine between DFA's local
credit signal e_T @ B_l^T and the BP gradient at hidden layers. Uses the
training Bs (not fresh ones, per the Bs-specificity finding from earlier).
The penalized run is the key measurement: in that condition the BP grad is
~10^-7 (well above the eps=1e-8 floor), so a near-zero cosine here would
be the direct evidence of the second failure mode (direction-quality
ceiling) that codex round 13 hypothesized.
Pre-registered prediction: penalized cos(DFA, BP) ~ 0.01-0.05 -> direction
quality is the second, separable failure mode. Saves the penalized
checkpoint so the diagnostic protocol can be re-applied to it (where (a)
and (b) should pass, (d) should still fail).
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5-method audit table on 4-block d=256 ResMLP CIFAR-10 seed 42:
- BP: trustworthy (acc 0.615, h_L=2e2, g_L=4e-4, stab 0.099)
- DFA: walked back via (a)+(b)+(d) — h_L=4e8, g_L=4e-9, undercuts frozen
- State Bridge: walked back via all 4 diagnostics — stability 0.992 is the
cleanest possible drift-dominated case
- Credit Bridge: walked back via all 4 — stability 0.352, also drift mode
- EP: trustworthy (acc 0.359, h_L=3e3, g_L=2e-4, stab -0.036) — paper's
internal control case
This is the §2 audit evidence for the main-track paper. Confirms that
standard headline acc + Γ silently fails on 3 of 5 methods on this
architecture, while the 4-diagnostic protocol catches all three.
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Codex round 15 #1 priority for the E&D-track paper:
- protocol/protocol.py: 4 diagnostics (residual norms, BP grad norms,
cross-batch direction stability, and a frozen-baseline comparator)
- protocol/report.py: DiagnosticReport with per-diagnostic verdicts and
pretty-printer
- protocol/smoke_test.py: validates BP/DFA/EP checkpoints produce the
expected verdicts (BP/EP trustworthy; DFA walked back via residual
explosion + BP grad at floor)
- protocol/README.md: usage, audit cases, threshold rationale
- protocol/CHECKLIST.md: 6 evaluation pipeline pitfalls (norm(-1),
cosine_similarity eps clamp, fp16 underflow, Bs reproducibility,
aggregation, layer-0 dominance)
- protocol/REPORTING_TEMPLATE.md: per-method fillable form for FA papers
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methods)
BP/DFA/SB/CB: added seeds 2048,3000,4000,5000,6000 (L=4 only, all 3 alphas)
Total: 1290 rows (was 990)
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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CNN CIFAR-10 (5 seeds, fixed Gamma):
BP: acc=86.8%, Gamma=0.970, rho=0.603
DFA: acc=56.7%, Gamma=0.896, rho=0.061
EP: acc=50.6%, Gamma=0.484, rho=0.450
SB: acc=63.3%, Gamma=1.000 (BP self-cos, feedback nets not saved), rho=0.601
CB: acc=31.8%, Gamma=1.000 (BP self-cos), rho=0.226
DFA Gamma=0.896 is notably high — CNN DFA credit aligns well with BP gradients.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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layers
Old code detached hidden states between layers, making layers 0-2 disconnected
from the loss (gradient = None → 0). Fixed by keeping the forward graph connected.
BP CNN Gamma per-layer now: [0.985, 0.990, 0.987, 0.967] (was [0, 0, 0, 0.967])
But gradient norms are ~1e-17 (genuine numerical precision issue with CNN architecture).
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP synthetic: 30 JSONs + 30 checkpoints (10 seeds × 3α)
EP CIFAR persample: 6 seeds × 4 layers × 256 samples = 6144 rows added
Synth cross-state: 150 EP rows added (990 total)
cifar_persample_all.csv: 30720 rows (was 24576, +6144 EP)
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Updated synth_cross_state_distance.csv with 150 EP rows (990 total).
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP CIFAR d_BP: L0=2.0×, L4=26.7× (much closer to BP than DFA=162×/2.5M×)
EP synthetic: no checkpoints saved (ep_synthetic.py didn't save .pt)
CNN summary: 20 rows confirmed correct
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP synthetic: 15 rows (3α × 5 seeds)
Synth cross-state: 840 rows (3α × 2L × 4 methods × 5 seeds × (L+1) layers)
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP CIFAR d=256: s(1e-6)=100%, mean_norm=1.41e-04
EP produces networks where ALL samples have non-zero BP gradients,
unlike DFA (0.4%), SB (21%), CB (3%). EP is closer to BP (98.7%).
Updated clean_sparsity_summary.csv (980 rows, now includes EP).
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Non-BP methods produce radically different representations:
DFA L0: 162×, L4: 2.5M× relative to BP hidden norms
SB L0: 3.2×, L4: 1.1M×
CB L0: 59×, L4: 1.4M×
(BP vs itself = 0)
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP Synthetic (fixed): Gamma=+0.13~0.20, rho=+0.25
EP CIFAR d=256: Gamma=+0.007, rho=+0.051
EP CIFAR d=512: Gamma=+0.000, rho=-0.002
EP CNN: Gamma=+0.248, rho=+0.492
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP d=256 (5 seeds): acc=31.9%, Gamma=+0.007 (was -0.13), rho=+0.051 (was -0.037)
Sign correction: -(h_nudge - h_free)/β aligns EP credit with BP gradient direction.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP nudge moves h toward lower loss (opposite to BP grad which points toward loss increase).
Without negation, Gamma is negative and rho is -0.25.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP synthetic: acc high (92-96%) but Gamma negative (-0.13 to -0.20), rho=-0.25
EP credit direction may be inverted or diagnostics have issue.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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CNN CIFAR-10 (5 seeds):
BP: 86.8%±0.3%, Gamma=0.238, rho=0.250
DFA: 56.7%±2.0%, Gamma=0.216, rho=0.017
SB: 63.3%±0.5%, Gamma=0.045, rho=0.298
CB: 31.8%±6.2%, Gamma=0.013, rho=0.033
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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State bridge: per-layer StateBridgeNet predicting h3 from flattened h_l
Credit bridge: per-layer ValueNet with terminal + bridge consistency + DFA warmup
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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ReLU MLP (L=4 d=256):
BP: acc=61.1%, Gamma=1.000, rho=0.998
DFA: acc=30.7%, Gamma=0.104, rho=-0.001
SB: acc=15.5%, Gamma=0.300, rho=0.159
CB: acc=28.7%, Gamma=0.298, rho=0.007
Note: SB/CB Gamma uses BP gradient as proxy (feedback nets not checkpointed).
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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DFA now uses regenerated DFA Bs for credit; SB/CB use BP as proxy (feedback nets not saved).
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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EP (L=4 d=256): acc≈30%, Gamma≈0, rho≈0 — EP credit signal weak on feedforward MLP
GELU ablation (ReLU variant): 4 methods × 5 seeds complete
CNN BP+DFA: 5 seeds each, BP + DFA on SmallCNN
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Note: existing ResidualMLP already uses GELU. This adds ResidualMLPReLU variant.
Ablation compares ReLU vs GELU for BP/DFA/SB/CB.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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BP: s(1e-6)=92.7%, norm=2.70e-04, r_inf=0.159, PR=0.300
DFA: s(1e-6)=0.1%, norm=5.31e-08
SB: s(1e-6)=20.3%, norm=2.33e-06
CB: s(1e-6)=1.2%, norm=9.88e-08
Same pattern as d=256, confirming width-independence of the sparsity gap.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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bp s=456: acc=0.5999, rho=0.9881, nse=0.4764
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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BP: 60.6%±0.3%, rho=0.989
DFA: 30.8%±0.5%, rho=0.003
State Bridge: 21.2%±3.7%, rho=0.119
Credit Bridge: 30.1%±0.5%, rho=0.002
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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methods × 6 seeds)
Columns: method, seed, layer, sample_id, grad_norm, log10_grad_norm, r_inf, pr, hoyer, topk1, topk5
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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CIFAR: 24 JSONs (4 methods × 6 seeds), BP s(1e-6)=98% confirmed
Synthetic: 144 JSONs (4 methods × 6 seeds × 3 alphas × 2 depths)
All data reliable — each method+seed in separate Python process.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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Clean results (each method in fresh Python process):
BP: mean_norm=2.58e-04, s(1e-6)=98% — CONFIRMED
DFA: layer 0 = 2.86e-07 (1.2%), layers 1-3 ≈ 2.4e-09 (0%)
SB: layer 0 = 6.13e-06 (86%), layers 1-3 ≈ 1e-09 (0%)
CB: layer 0 = 6.33e-07 (18%), layers 1-3 ≈ 5e-10 (0%)
Method A (autograd.grad) and Method B (retain_grad) give identical results.
Previous 1e-12 results were caused by Python process state pollution in combined scripts.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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BP gradients are relatively uniform: top1%=7.1%, PR=0.327, eff_dim=0.632
DFA gradients extremely concentrated: top1%=40.6%, PR=0.089, eff_dim=0.272
SB/CB intermediate: top1%=17-21%, PR=0.14-0.17
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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