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math.OC2022
Iterative Minimax Games with Coupled Linear Constraints
Huiling Zhang, Zi Xu, Yu-Hong Dai
The study of nonconvex minimax games has gained significant momentum in machine learning and decision science communities due to their fundamental connections to adversarial traini…
math.OC2022
Zeroth-Order Alternating Gradient Descent Ascent Algorithms for a Class of Nonconvex-Nonconcave Minimax Problems
Zi Xu, Zi-Qi Wang, Jun-Lin Wang +1
In this paper, we consider a class of nonconvex-nonconcave minimax problems, i.e., NC-PL minimax problems, whose objective functions satisfy the Polyak-Łojasiewicz (PL) condition w…
math.OC2022
Optimality Conditions and Numerical Algorithms for A Class of Linearly Constrained Minimax Optimization Problems
Yu-Hong Dai, Jiani Wang, Liwei Zhang
It is well known that there have been many numerical algorithms for solving nonsmooth minimax problems, numerical algorithms for nonsmooth minimax problems with joint linear constr…