12 papers
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…
A Single-Loop Regularized Newton Method for Nonconvex-Strongly-Concave Minimax Optimization
Bohao Ma, Nachuan Xiao, Junyu Zhang
For smooth nonconvex-strongly-concave minimax problems, existing second-order methods share a common double-loop structure where the inner maximization is solved to sufficiently hi…
Improved Penalty Function Approaches for Optimization Problems with General Orthogonality
Yongshen Zhang, Xin Liu, Nachuan Xiao +1
In this paper, we consider a class of generalized orthogonal optimization constraint problems (GOOCP) over , where the variable is restricted within th…
A Hybrid Subgradient Method for Nonsmooth Nonconvex Bilevel Optimization
Nachuan Xiao, Xiaoyin Hu, Xin Liu +1
In this paper, we focus on the nonconvex-nonconvex bilevel optimization problem (BLO), where both upper-level and lower-level objectives are nonconvex, with the upper-level problem…
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.…
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…