Paper: High-Dimensional Learning Dynamics of Quantized Models with Straight-Through Estimator
Authors: Yuma Ichikawa, Shuhei Kashiwamura, and Ayaka Sakata
OpenReview ID: bI9moH3UZw
OpenReview URL: https://openreview.net/forum?id=bI9moH3UZw
arXiv version: 2510.10693v1
Primary PDF URL: https://arxiv.org/pdf/2510.10693v1
Primary PDF SHA-256: 6572a9be1af275679eeb66c0d47d147a0f88cbef92f2ff1529516d422d4fe6bc
Extracted text SHA-256: 8b651b1cf085626facce27c2360a78f243765ffd01c5406e289e8afae5facfb6
Anchored claim-catalog SHA-256: eb3f2d878646ca5c40da121741a613c1f9e1e10c14845f373db107e74a4ef439
Source audit time: 2026-07-21T08:02:00Z
Decisive locations: Equations 1-7 and 24-26; Theorems IV.3, V.3, and VI.3; Proposition VI.1; Sections VI-A and VI-C; Appendix VII.

The implementation is independent and uses only the pinned paper's stated
model, update, SDE, ODE, and fixed-point formulas. The live labels retain
historical equation numbers for Claims 1-2: the pinned v1 main text numbers
the same microscopic SDE as Equations 4-5 and the same macroscopic ODE as
Equations 6-7, repeated as Appendix Equations 25-26. This numbering map is
disclosed rather than silently altering either claim.