3 papers
math.OC2026
Single-Loop Stochastic Projected Damped Extragradient Methods for Stochastic Nonconvex--(Strongly) Concave Minimax Optimization
Huiling Zhang, Minhao Zhang, Zi Xu
We develop single-loop stochastic projected damped extragradient methods for stochastic nonconvex--(strongly) concave minimax optimization, with complexity guarantees for both game…
math.OC2026
A Homogeneous Second-Order Descent Ascent Algorithm for Nonconvex-Strongly Concave Minimax Problems
Jia-Hao Chen, Zi Xu, Hui-Ling Zhang
This paper introduces a novel Homogeneous Second-order Descent Ascent (HSDA) algorithm for nonconvex-strongly concave minimax optimization problems. At each iteration, HSDA uniquel…
math.OC2024
Completely Parameter-Free Single-Loop Algorithms for Nonconvex-Concave Minimax Problems
Junnan Yang, Huiling Zhang, Zi Xu
Due to their importance in various emerging applications, efficient algorithms for solving minimax problems have recently received increasing attention. However, many existing algo…