Zeroth-order single-loop algorithms for nonconvex-linear minimax problems

Nonconvex minimax problems have attracted significant interest in machine learning and many other fields in recent years. In this paper, we propose a new zeroth-order alternating randomized gradient projection algorithm to solve smooth nonconvex-linear problems and its iteration complexity to find a...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 87; no. 2-4; pp. 551 - 580
Main Authors:	Shen, Jingjing, Wang, Ziqi, Xu, Zi
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2023 Springer
Subjects:	Algorithms Computer Science Game theory Machine learning Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Real Functions Complexity analysis 90C30 90C47 Alternating randomized gradient projection algorithm Machine learning 90C26 Nonconvex-linear minimax problem Zeroth-order algorithm Alternating randomized proximal gradient algorithm
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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