Author

Feng Liao

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Preprint Sep 2026

Revisiting Proximal Bundle Methods: Improved Rates under H{\"o}lder Smoothness

Proximal bundle methods (PBMs) are classical algorithms for nonsmooth convex optimization. Existing analyses of the classical PBM couple the null steps with the descent test. This coupling obscures how the bundle updates approximate the proximal subproblem. In this work, we consider composite objectives $F=f+h$ and vie...

Feng Liao, Yang Zheng · 0 citations

Preprint Sep 2026

Weak Convexity and Proximal Bundle Methods for Nonsmooth Policy Optimization in Robust Control

We study policy optimization for discrete-time robust $\mathcal{H}_\infty$ control with static output-feedback, and present the first feasibility-preserving algorithm with a deterministic, non-asymptotic complexity guarantee. This problem naturally leads to a nonsmooth and nonconvex optimization over the set of stabili...

Yuto Watanabe, Feng Liao, Yang Zheng · 1 citation