3 papers
math.OC2025
An Accelerated Variance Reduced Extra-Point Approach to Finite-Sum VI and Optimization
Kevin Huang, Nuozhou Wang, Shuzhong Zhang
In this paper, we develop stochastic variance reduced algorithms for solving a class of finite-sum hemivariational inequality (HVI) problem. In this HVI problem, the associated fun…
math.OC2025
Complexity Analysis of Convex Majorization Schemes for Nonconvex Constrained Optimization
Nuozhou Wang, Junyu Zhang, Shuzhong Zhang
In this paper, we introduce and study various algorithms for solving nonconvex minimization with inequality constraints, based on the construction of convex surrogate envelopes tha…
math.OC2024
Efficient First Order Method for Saddle Point Problems with Higher Order Smoothness
Nuozhou Wang, Junyu Zhang, Shuzhong Zhang
This paper studies the complexity of finding approximate stationary points for the smooth nonconvex-strongly-concave (NC-SC) saddle point problem: . Under the s…