diff options
| author | Yuren Hao <yurenh2@illinois.edu> | 2026-07-18 22:54:58 -0500 |
|---|---|---|
| committer | Yuren Hao <yurenh2@illinois.edu> | 2026-07-18 22:54:58 -0500 |
| commit | c97c991a4c338026cc77f91d1298e7d6713ca453 (patch) | |
| tree | 77278e4ace7f2a9cd6aec2250396d5485c23a8e7 /docs/campaign | |
| parent | 07e06375620669e1fb3d36ded64a5867645e423d (diff) | |
RESULT 48c: θ-read结构上无1/β通道(d∝β,β在cotangent里消掉;五种数字系综全部β-平坦)→数字域无检测下界是结构性的;BBP相变真家=差分读出硬件(T64列读即是)→β*_HW设计方程成立;qb6 buyback机制改判待查
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_014FAPDWQ49M5Ye3NpTndTpn
Diffstat (limited to 'docs/campaign')
| -rw-r--r-- | docs/campaign/CASCADE_ABLATION_PLAN.md | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/docs/campaign/CASCADE_ABLATION_PLAN.md b/docs/campaign/CASCADE_ABLATION_PLAN.md index 399d8d6..268ab91 100644 --- a/docs/campaign/CASCADE_ABLATION_PLAN.md +++ b/docs/campaign/CASCADE_ABLATION_PLAN.md @@ -568,6 +568,25 @@ direction), not training-under-fault; wave-2 = co-training with faults injected +### RESULT 48c (2026-07-18): WHY the digital floor can't be BBP — the THETA-READ HAS NO 1/beta +CHANNEL, structurally. The BBP transition lives exactly where readout is DIFFERENTIAL (analog). +probe_bbp3 (6-bit STOCHASTIC rounding, fresh draw per estimate; frozen = one draw for free+ +nudged [trainer-faithful], split = independent draws [decorrelated bound]): R beta-FLAT 0.3-1.4 +in BOTH modes, identical tables — even fully decorrelated operator noise produces NO 1/beta +bulk. Mechanism: our estimator reads <-d/(beta*NBT), dO/dtheta> — d is proportional to beta, the +beta CANCELS in the cotangent; quant/rounding errors enter as RELATIVE anchor/transmission +shifts O(q), never divided by beta. The (E+-E-)/2beta catastrophic-cancellation channel simply +does not exist in this code path. => Across ALL FIVE digital ensembles probed (fp32, bf16-amp, +det-quant, stoch-quant frozen, stoch-quant split): no detectability floor; wall-1-in-sim = +window geometry + bf16 displacement cliff. WHERE BBP IS REAL: hardware whose readback IS a +differential measurement (delta-I/delta-V between phases / beta) — T64's transpose/column read +IS differential -> additive ADC noise / beta = true 1/beta bulk -> beta*_HW = nu_ADC(sqrt m + +sqrt n)/sigma1(g) stands as the design equation, calibrate nu from ENOB 8.51b. +Caveats: R is an iid-frame index; 6-bit noise is STRUCTURED (correlated with signal directions: +R<1 yet overlap 0.3-0.9, not the BBP zero) — structured noise degrades gracefully, R +conservative. qb6 beta-buyback mechanism REASSIGNED to open (not 1/beta-noise; candidate: +anchor-displacement-relative channel) — measurable later, not blocking. + ### RESULT 48b (2026-07-18): GENERALIZED BBP (amp semantics, measured-spectrum, no iid assumption; user-directed): R = spike/edge > 1 EVERYWHERE down to beta=1e-4 — EP's extra noise sits 5-50x BELOW the signal spike in bf16-amp too. The digital floor is NOT a detectability |