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Smooth monotone stochastic variational inequalities and saddle point problems: A survey.

Authors :
Beznosikov, Aleksandr
Polyak†, Boris
Gorbunov, Eduard
Kovalev, Dmitry
Gasnikov, Alexander
Source :
European Mathematical Society Magazine; Mar2023, Issue 127, p15-27, 14p
Publication Year :
2023

Abstract

This paper is a survey of methods for solving smooth, (strongly) monotone stochastic variational inequalities. To begin with, we present the deterministic foundation from which the stochastic methods eventually evolved. Then we review methods for the general stochastic formulation, and look at the fnite-sum setup. The last parts of the paper are devoted to various recent (not necessarily stochastic) advances in algorithms for variational inequalities. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
27477894
Issue :
127
Database :
Complementary Index
Journal :
European Mathematical Society Magazine
Publication Type :
Periodical
Accession number :
162616555
Full Text :
https://doi.org/10.4171/mag/112