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math.OC2024
Gradient Norm Regularization Second-Order Algorithms for Solving Nonconvex-Strongly Concave Minimax Problems
Jun-Lin Wang, Zi Xu
In this paper, we study second-order algorithms for solving nonconvex-strongly concave minimax problems, which have attracted much attention in recent years in many fields, especia…
math.OC2024
A Fully Parameter-Free Second-Order Algorithm for Convex-Concave Minimax Problems
Junlin Wang, Zi Xu, Huiling Zhang
In this paper, we study second-order algorithms for the convex-concave minimax problem, which has attracted much attention in many fields such as machine learning in recent years.…
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…