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math.OC2026
Decentralized Stochastic Subgradient-type Methods with Communication Compression for Nonsmooth Nonconvex Optimization
Siyuan Zhang, Nachuan Xiao, Xin Liu
In this paper, we consider the nonsmooth nonconvex decentralized optimization problem, where inter-agent communication is compressed. We propose a general framework that unifies va…
math.OC2026
Exact Quadratic Penalty Function for Symplectic Eigenvalue Problem
Jiaqi Wang, Nachuan Xiao, Xin Liu
The symplectic eigenvalue problem for symmetric positive-definite (spd) matrices plays a crucial role in various scientific fields, including quantum mechanics and control theory.…
math.OC2026
A Smooth Locally Exact Penalty Method for Optimization Problems over Generalized Stiefel Manifolds
Linshuo Jiang, Nachuan Xiao, Xin Liu
In this paper, we consider a class of optimization problems constrained to the generalized Stiefel manifold. Such problems are fundamental to a wide range of real-world application…