Author

Nikita Kornilov

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#machine learning May 2026

LionMuon: Alternating Spectral and Sign Descent for Efficient Training

This work proposes LionMuon, which retains the effectiveness of Muon steps while considerably cutting the averaged iteration cost, similar to sign-based methods, and proves sharp complexity bounds under heavy-tailed noise which are governed by period-averaged smoothness and noise that interpolate between Muon's and Lio...

Arman Bolatov, A. Riabinin, Nikita Kornilov et al. · arXiv.org · 2 citations