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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
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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