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

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

8 October 2021
Eduard A. Gorbunov
Nicolas Loizou
Gauthier Gidel
ArXivPDFHTML

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

27 / 27 papers shown
Title
Negative Stepsizes Make Gradient-Descent-Ascent Converge
Negative Stepsizes Make Gradient-Descent-Ascent Converge
Henry Shugart
Jason M. Altschuler
17
0
0
02 May 2025
Learning Variational Inequalities from Data: Fast Generalization Rates under Strong Monotonicity
Learning Variational Inequalities from Data: Fast Generalization Rates under Strong Monotonicity
Eric Zhao
Tatjana Chavdarova
Michael I. Jordan
38
0
0
20 Feb 2025
Two-Timescale Gradient Descent Ascent Algorithms for Nonconvex Minimax Optimization
Two-Timescale Gradient Descent Ascent Algorithms for Nonconvex Minimax Optimization
Tianyi Lin
Chi Jin
Michael I. Jordan
50
6
0
28 Jan 2025
On the Interplay between Social Welfare and Tractability of Equilibria
On the Interplay between Social Welfare and Tractability of Equilibria
Ioannis Anagnostides
T. Sandholm
42
2
0
10 Jan 2025
Primal Methods for Variational Inequality Problems with Functional Constraints
Primal Methods for Variational Inequality Problems with Functional Constraints
Liang Zhang
Niao He
Michael Muehlebach
32
2
0
19 Mar 2024
Stochastic Extragradient with Random Reshuffling: Improved Convergence
  for Variational Inequalities
Stochastic Extragradient with Random Reshuffling: Improved Convergence for Variational Inequalities
Konstantinos Emmanouilidis
René Vidal
Nicolas Loizou
27
2
0
11 Mar 2024
Last-Iterate Convergence Properties of Regret-Matching Algorithms in Games
Last-Iterate Convergence Properties of Regret-Matching Algorithms in Games
Yang Cai
Gabriele Farina
Julien Grand-Clément
Christian Kroer
Chung-Wei Lee
Haipeng Luo
Weiqiang Zheng
22
1
0
01 Nov 2023
Stable Nonconvex-Nonconcave Training via Linear Interpolation
Stable Nonconvex-Nonconcave Training via Linear Interpolation
Thomas Pethick
Wanyun Xie
V. Cevher
13
5
0
20 Oct 2023
Demystifying the Myths and Legends of Nonconvex Convergence of SGD
Demystifying the Myths and Legends of Nonconvex Convergence of SGD
Aritra Dutta
El Houcine Bergou
Soumia Boucherouite
Nicklas Werge
M. Kandemir
Xin Li
18
0
0
19 Oct 2023
Extragradient Type Methods for Riemannian Variational Inequality
  Problems
Extragradient Type Methods for Riemannian Variational Inequality Problems
Zihao Hu
Guanghui Wang
Xi Wang
Andre Wibisono
Jacob D. Abernethy
Molei Tao
19
4
0
25 Sep 2023
Communication-Efficient Gradient Descent-Accent Methods for Distributed
  Variational Inequalities: Unified Analysis and Local Updates
Communication-Efficient Gradient Descent-Accent Methods for Distributed Variational Inequalities: Unified Analysis and Local Updates
Siqi Zhang
S. Choudhury
Sebastian U. Stich
Nicolas Loizou
FedML
11
3
0
08 Jun 2023
Sublinear Convergence Rates of Extragradient-Type Methods: A Survey on
  Classical and Recent Developments
Sublinear Convergence Rates of Extragradient-Type Methods: A Survey on Classical and Recent Developments
Quoc Tran-Dinh
17
7
0
30 Mar 2023
Single-Call Stochastic Extragradient Methods for Structured Non-monotone
  Variational Inequalities: Improved Analysis under Weaker Conditions
Single-Call Stochastic Extragradient Methods for Structured Non-monotone Variational Inequalities: Improved Analysis under Weaker Conditions
S. Choudhury
Eduard A. Gorbunov
Nicolas Loizou
25
13
0
27 Feb 2023
Extragradient-Type Methods with $\mathcal{O} (1/k)$ Last-Iterate
  Convergence Rates for Co-Hypomonotone Inclusions
Extragradient-Type Methods with O(1/k)\mathcal{O} (1/k)O(1/k) Last-Iterate Convergence Rates for Co-Hypomonotone Inclusions
Quoc Tran-Dinh
11
2
0
08 Feb 2023
Min-Max Optimization Made Simple: Approximating the Proximal Point
  Method via Contraction Maps
Min-Max Optimization Made Simple: Approximating the Proximal Point Method via Contraction Maps
V. Cevher
Georgios Piliouras
Ryann Sim
Stratis Skoulakis
10
6
0
10 Jan 2023
When is Momentum Extragradient Optimal? A Polynomial-Based Analysis
When is Momentum Extragradient Optimal? A Polynomial-Based Analysis
J. Kim
Gauthier Gidel
Anastasios Kyrillidis
Fabian Pedregosa
14
1
0
09 Nov 2022
Tight Analysis of Extra-gradient and Optimistic Gradient Methods For
  Nonconvex Minimax Problems
Tight Analysis of Extra-gradient and Optimistic Gradient Methods For Nonconvex Minimax Problems
Pouria Mahdavinia
Yuyang Deng
Haochuan Li
M. Mahdavi
20
12
0
17 Oct 2022
Accelerated Single-Call Methods for Constrained Min-Max Optimization
Accelerated Single-Call Methods for Constrained Min-Max Optimization
Yang Cai
Weiqiang Zheng
14
30
0
06 Oct 2022
Solving Constrained Variational Inequalities via a First-order Interior
  Point-based Method
Solving Constrained Variational Inequalities via a First-order Interior Point-based Method
Tong Yang
Michael I. Jordan
Tatjana Chavdarova
14
9
0
21 Jun 2022
A Unified Approach to Reinforcement Learning, Quantal Response
  Equilibria, and Two-Player Zero-Sum Games
A Unified Approach to Reinforcement Learning, Quantal Response Equilibria, and Two-Player Zero-Sum Games
Samuel Sokota
Ryan DÓrazio
J. Zico Kolter
Nicolas Loizou
Marc Lanctot
Ioannis Mitliagkas
Noam Brown
Christian Kroer
15
1
0
12 Jun 2022
Accelerated Algorithms for Constrained Nonconvex-Nonconcave Min-Max
  Optimization and Comonotone Inclusion
Accelerated Algorithms for Constrained Nonconvex-Nonconcave Min-Max Optimization and Comonotone Inclusion
Yang Cai
Argyris Oikonomou
Weiqiang Zheng
13
19
0
10 Jun 2022
Clipped Stochastic Methods for Variational Inequalities with
  Heavy-Tailed Noise
Clipped Stochastic Methods for Variational Inequalities with Heavy-Tailed Noise
Eduard A. Gorbunov
Marina Danilova
David Dobre
Pavel Dvurechensky
Alexander Gasnikov
Gauthier Gidel
19
24
0
02 Jun 2022
Tight Last-Iterate Convergence of the Extragradient and the Optimistic
  Gradient Descent-Ascent Algorithm for Constrained Monotone Variational
  Inequalities
Tight Last-Iterate Convergence of the Extragradient and the Optimistic Gradient Descent-Ascent Algorithm for Constrained Monotone Variational Inequalities
Yang Cai
Argyris Oikonomou
Weiqiang Zheng
9
14
0
20 Apr 2022
Stochastic Gradient Descent-Ascent: Unified Theory and New Efficient
  Methods
Stochastic Gradient Descent-Ascent: Unified Theory and New Efficient Methods
Aleksandr Beznosikov
Eduard A. Gorbunov
Hugo Berard
Nicolas Loizou
17
47
0
15 Feb 2022
PEPit: computer-assisted worst-case analyses of first-order optimization
  methods in Python
PEPit: computer-assisted worst-case analyses of first-order optimization methods in Python
Baptiste Goujaud
Céline Moucer
Franccois Glineur
Julien Hendrickx
Adrien B. Taylor
Aymeric Dieuleveut
15
30
0
11 Jan 2022
Stochastic Extragradient: General Analysis and Improved Rates
Stochastic Extragradient: General Analysis and Improved Rates
Eduard A. Gorbunov
Hugo Berard
Gauthier Gidel
Nicolas Loizou
14
40
0
16 Nov 2021
On the Convergence of Stochastic Extragradient for Bilinear Games using
  Restarted Iteration Averaging
On the Convergence of Stochastic Extragradient for Bilinear Games using Restarted Iteration Averaging
C. J. Li
Yaodong Yu
Nicolas Loizou
Gauthier Gidel
Yi-An Ma
Nicolas Le Roux
Michael I. Jordan
17
22
0
30 Jun 2021
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