Author

Zhuang-Hua Liu

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#machine learning Sep 2025

Stochastic Bilevel Optimization with Heavy-Tailed Noise

This paper considers the smooth bilevel optimization in which the lower-level problem is strongly convex and the upper-level problem is possibly nonconvex and proposes a nested-loop normalized stochastic bilevel approximation (N$^2$SBA) for finding an $\epsilon$-stationary point with the stochastic first-order oracle (...

Zhuang-Hua Liu, Luo Luo · arXiv.org · 4 citations · ⚡1

Preprint Sep 2026

Musec: MomentUm SpEctral Clipping for Stable Muon-type Training

This work proposes MomentUm SpEctral Clipping (Musec), which replaces Muon's spectral flattening with spectral clipping: rather than setting all singular values of the momentum matrix to approximately one, Musec clips singular values that exceed a threshold while preserving the underlying spectral structure of the mome...

Zhuang-Hua Liu, Meng-Li Wang, Luo Luo · 2 citations