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20162023
most citedA Unified Analysis of Extra-gradient and Optimistic Gradient Methods for Saddle Point Problems: Proximal Point Approach

141 citations · 213 across the 13 of their papers we have counts for

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6 papers · 1 filter

math.OC2022★ 1 cited

Symmetric (Optimistic) Natural Policy Gradient for Multi-agent Learning with Parameter Convergence

Sarath Pattathil, Kaiqing Zhang, Asuman Ozdaglar

Multi-agent interactions are increasingly important in the context of reinforcement learning, and the theoretical foundations of policy gradient methods have attracted surging rese…

math.OC2020

An Optimal Multistage Stochastic Gradient Method for Minimax Problems

Alireza Fallah, Asuman Ozdaglar, Sarath Pattathil

In this paper, we study the minimax optimization problem in the smooth and strongly convex-strongly concave setting when we have access to noisy estimates of gradients. In particul…

math.OC2019★ 15 cited

A Decentralized Proximal Point-type Method for Saddle Point Problems

Weijie Liu, Aryan Mokhtari, Asuman Ozdaglar +3

In this paper, we focus on solving a class of constrained non-convex non-concave saddle point problems in a decentralized manner by a group of nodes in a network. Specifically, we…

math.OC2019★ 1 cited

Convergence Rate of for Optimistic Gradient and Extra-gradient Methods in Smooth Convex-Concave Saddle Point Problems

Aryan Mokhtari, Asuman Ozdaglar, Sarath Pattathil

We study the iteration complexity of the optimistic gradient descent-ascent (OGDA) method and the extra-gradient (EG) method for finding a saddle point of a convex-concave unconstr…

math.OC2019★ 141 cited

A Unified Analysis of Extra-gradient and Optimistic Gradient Methods for Saddle Point Problems: Proximal Point Approach

Aryan Mokhtari, Asuman Ozdaglar, Sarath Pattathil

In this paper we consider solving saddle point problems using two variants of Gradient Descent-Ascent algorithms, Extra-gradient (EG) and Optimistic Gradient Descent Ascent (OGDA)…

math.OC2018

Concentration bounds for two time scale stochastic approximation

Vivek S. Borkar, Sarath Pattathil

Viewing a two time scale stochastic approximation scheme as a noisy discretization of a singularly perturbed differential equation, we obtain a concentration bound for its iterates…