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Yan-Zhe Chen

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#machine learning Preprint Sep 2026

Muon Sublates the Edge of Stability in LLM Pretraining

Muon is increasingly used for language-model pretraining, yet its large-step dynamics are not captured by the classical edge-of-stability (EoS) picture of gradient descent (GD). In GD, loss neutrality, equal-magnitude update reversal, and marginal stability meet at a single learning-rate-dependent edge. We show that Mu...

Yan-Zhe Chen, Qifang Zhao, Xiao-Xiao Xu et al. · 0 citations