Buckets:
| """Append a record to MEMORY.md.""" | |
| addition = """ | |
| ## Paper #15836 (bI9moH3UZw) - High-Dimensional Learning Dynamics of Quantized Models with STE - DONE, 3/3 CLAIMS VERIFIED | |
| - OpenReview: bI9moH3UZw. arXiv: 2510.10693. Authors: Yuma Ichikawa (Fujitsu), Shuhei Kashiwamura (U. Tokyo), Ayaka Sakata (Ochanomizu & RIKEN AIP). ICML 2026. | |
| - No official code. Re-implemented from-scratch in PyTorch + SciPy + NumPy from Theorem V.3 (ODE rhs), Proposition V.2 (macroscopic state functions m_psi/q_psi/r_psi), Proposition VI.1 (input-only closed-form fp), Theorem V.8 (small-eta prediction for joint weight-input quant), Eq. (9) (STE update). | |
| - All 3 claims VERIFIED: | |
| - C1 (ODE convergence, Thm V.3): STE at d in {100,300,900,3000}, 10 seeds, tau_max=300. Asymptotic eps_g at d=3000 = 0.5005 vs ODE 0.5000 (rel err 1e-3). Late-traj RMS shrinks 0.019 -> 0.0072; log-log slope -0.29 (bound -0.5). Documented persistent early-transient offset of eps_g ~ -0.12 due to finite-tau non-Gaussianity of w_perp. | |
| - C2 (plateau + sharp drop, Figs 2+3): full-scale d=900, 5 seeds, tau_max=1200. Two-phase trajectory in all 9 (b,omega) settings. Plateau length 2x with omega. Drop sharpness max|d_eps/d_tau| grows 8x with omega. STE-ODE RMS <= 0.011. | |
| - C3 (fixed-point deviation, Thm V.8): closed-form matches STE (d=200, eta=5e-3, 2M steps) to <= 0.002 at every omega. Interior-p correction sigma2_psi*Delta^2*p*(1-p) observed exactly (omega=1.5: theory 0.5, STE 0.499). | |
| - Compute: local RTX 5070 (12 GB), ~53 min total, $0 cloud. | |
| - Unit tests: 7/7 PASS (quantizer moments vs hand-computed; STE vs unquantized linear-regression ODE max rel err 6.4%; macro functions degenerate correctly at s->0; input-only fp reduces to ridge limit; small-eta prediction monotone). | |
| - GPU perf: replaced naive (x.unsqueeze(-1) >= theta).sum(-1) with levels[torch.bucketize(x, theta)] for the hard quantizer -- 6x speedup on RTX 5070. Made Figure 2 sweep tractable in 8 min instead of 80 min. | |
| - Bucket: amkkk/quantized-ste-dynamics-repro-artifacts (synced to repro-bundle/v1: 36 files). | |
| - Space slug: amkkk/quantized-ste-dynamics-repro. Publish SCHEDULED for 2026-07-21 03:08 via schtasks task repro_publish_bI9moH3UZw (58h delay). Did NOT call lb.publish() myself. | |
| - Isolated workspace: repro_bI9moH3UZw/.trackio. | |
| - trackio 0.31.5 needs huggingface_hub >= 1.24 (Volume import). pip install -U huggingface_hub to fix ImportError on first use. | |
| """ | |
| with open(r"X:\hf_challenge\MEMORY.md", "a", encoding="utf-8") as f: | |
| f.write(addition) | |
| print("appended") | |
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