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A Unified Approach to Reinforcement Learning, Quantal Response Equilibria, and Two-Player Zero-Sum Games


Jun 12, 2022
Samuel Sokota, Ryan D'Orazio, J. Zico Kolter, Nicolas Loizou, Marc Lanctot, Ioannis Mitliagkas, Noam Brown, Christian Kroer

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Stochastic Gradient Descent-Ascent: Unified Theory and New Efficient Methods


Feb 15, 2022
Aleksandr Beznosikov, Eduard Gorbunov, Hugo Berard, Nicolas Loizou

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* 63 pages, 5 figures, 3 tables 

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Stochastic Extragradient: General Analysis and Improved Rates


Nov 16, 2021
Eduard Gorbunov, Hugo Berard, Gauthier Gidel, Nicolas Loizou

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* 50 pages, 3 figures, 2 tables 

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Stochastic Mirror Descent: Convergence Analysis and Adaptive Variants via the Mirror Stochastic Polyak Stepsize


Nov 01, 2021
Ryan D'Orazio, Nicolas Loizou, Issam Laradji, Ioannis Mitliagkas

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Extragradient Method: $O(1/K)$ Last-Iterate Convergence for Monotone Variational Inequalities and Connections With Cocoercivity


Oct 08, 2021
Eduard Gorbunov, Nicolas Loizou, Gauthier Gidel

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* 48 pages 

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Stochastic Gradient Descent-Ascent and Consensus Optimization for Smooth Games: Convergence Analysis under Expected Co-coercivity


Jun 30, 2021
Nicolas Loizou, Hugo Berard, Gauthier Gidel, Ioannis Mitliagkas, Simon Lacoste-Julien

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* 35 pages, 3 figures, 1 table 

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On the Convergence of Stochastic Extragradient for Bilinear Games with Restarted Iteration Averaging


Jun 30, 2021
Chris Junchi Li, Yaodong Yu, Nicolas Loizou, Gauthier Gidel, Yi Ma, Nicolas Le Roux, Michael I. Jordan

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AI-SARAH: Adaptive and Implicit Stochastic Recursive Gradient Methods


Feb 19, 2021
Zheng Shi, Nicolas Loizou, Peter Richtárik, Martin Takáč

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Stochastic Hamiltonian Gradient Methods for Smooth Games


Jul 08, 2020
Nicolas Loizou, Hugo Berard, Alexia Jolicoeur-Martineau, Pascal Vincent, Simon Lacoste-Julien, Ioannis Mitliagkas

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* ICML 2020 - Proceedings of the 37th International Conference on Machine Learning 

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Unified Analysis of Stochastic Gradient Methods for Composite Convex and Smooth Optimization


Jun 20, 2020
Ahmed Khaled, Othmane Sebbouh, Nicolas Loizou, Robert M. Gower, Peter Richtárik

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