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math.OC2022★ 15 cited
Smooth Monotone Stochastic Variational Inequalities and Saddle Point Problems: A Survey
Aleksandr Beznosikov, Boris Polyak, Eduard Gorbunov +2
This paper is a survey of methods for solving smooth (strongly) monotone stochastic variational inequalities. To begin with, we give the deterministic foundation from which the sto…
math.OC2022★ 1 cited
Stopping Rules for Gradient Methods for Non-Convex Problems with Additive Noise in Gradient
Boris T. Polyak, Ilia A. Kuruzov, Fedor S. Stonyakin
We study the gradient method under the assumption that an additively inexact gradient is available for, generally speaking, non-convex problems. The non-convexity of the objective…