| --- |
| title: "Reproduction - Implicit Bias of Adam and Muon" |
| emoji: 🧭 |
| colorFrom: purple |
| colorTo: pink |
| sdk: static |
| pinned: false |
| tags: |
| - trackio |
| - trackio-logbook |
| - open-experiment |
| - icml2026-repro |
| - paper-DpIc1cpNKG |
| --- |
| |
| # Reproduction - Implicit Bias of Adam and Muon |
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|
| Independent CPU audit of all six registered claims using eighteen normalized- |
| steepest-descent/KKT cells, eighteen soft-margin trajectories, 24 momentum |
| approximate-steepest-descent cells, 150 single-matrix and 100 multiblock exact |
| Muon identities, 120 Muon–Signum hybrid identities, six Adam trajectories, and |
| four destructive controls. All 18 gates pass in two warning-strict byte- |
| identical runs. |
|
|
| Primary source: https://arxiv.org/pdf/2602.16340v1 |
| OpenReview: https://openreview.net/forum?id=DpIc1cpNKG |
| OpenReview paper ID: DpIc1cpNKG |
| arXiv version: 2602.16340v1 |
| Primary PDF SHA-256: 43adc8cf956db60fa670ff692fba8878a5540a83d20dea577ee521aa5fa86d91 |
| Primary source SHA-256: 31393f95af51f98a1e55b82f1a97b4d80fe523043e80008264128a937fcc6dfd |
| Implementation: independent from the equations in the pinned paper. |
| No competitor artifact, output, or result was used. |
|
|
| Version 1 is pinned because the live claims use its literal Theorems 3.1–3.3 |
| and 3.6 and Corollaries 3.4–3.5. Later revisions renumber these results and are |
| not mixed. Finite smooth homogeneous models audit the optimizer geometry; the |
| source proofs carry the general nonlinear asymptotic scope. |
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|
