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Two-Timescale Gradient Descent Ascent Algorithms for Nonconvex Minimax Optimization

Two-Timescale Gradient Descent Ascent Algorithms for Nonconvex Minimax Optimization

28 January 2025
Tianyi Lin
Chi Jin
Michael I. Jordan
ArXivPDFHTML

Papers citing "Two-Timescale Gradient Descent Ascent Algorithms for Nonconvex Minimax Optimization"

50 / 51 papers shown
Title
Negative Stepsizes Make Gradient-Descent-Ascent Converge
Negative Stepsizes Make Gradient-Descent-Ascent Converge
Henry Shugart
Jason M. Altschuler
55
0
0
02 May 2025
$O(1/k)$ Finite-Time Bound for Non-Linear Two-Time-Scale Stochastic Approximation
O(1/k)O(1/k)O(1/k) Finite-Time Bound for Non-Linear Two-Time-Scale Stochastic Approximation
Siddharth Chandak
66
1
0
27 Apr 2025
Non-Expansive Mappings in Two-Time-Scale Stochastic Approximation: Finite-Time Analysis
Non-Expansive Mappings in Two-Time-Scale Stochastic Approximation: Finite-Time Analysis
Siddharth Chandak
78
1
0
18 Jan 2025
Nonsmooth Nonconvex-Nonconcave Minimax Optimization: Primal-Dual Balancing and Iteration Complexity Analysis
Nonsmooth Nonconvex-Nonconcave Minimax Optimization: Primal-Dual Balancing and Iteration Complexity Analysis
Jiajin Li
Lingling Zhu
Anthony Man-Cho So
90
4
0
17 Jan 2025
Causal Invariance Learning via Efficient Optimization of a Nonconvex
  Objective
Causal Invariance Learning via Efficient Optimization of a Nonconvex Objective
Zhenyu Wang
Yifan Hu
Peter Buhlmann
Zijian Guo
139
2
0
16 Dec 2024
Universal Gradient Descent Ascent Method for Nonconvex-Nonconcave
  Minimax Optimization
Universal Gradient Descent Ascent Method for Nonconvex-Nonconcave Minimax Optimization
Taoli Zheng
Lingling Zhu
Anthony Man-Cho So
Jose H. Blanchet
Jiajin Li
64
13
0
26 Dec 2022
TiAda: A Time-scale Adaptive Algorithm for Nonconvex Minimax
  Optimization
TiAda: A Time-scale Adaptive Algorithm for Nonconvex Minimax Optimization
Xiang Li
Junchi Yang
Niao He
59
9
0
31 Oct 2022
STay-ON-the-Ridge: Guaranteed Convergence to Local Minimax Equilibrium
  in Nonconvex-Nonconcave Games
STay-ON-the-Ridge: Guaranteed Convergence to Local Minimax Equilibrium in Nonconvex-Nonconcave Games
C. Daskalakis
Noah Golowich
Stratis Skoulakis
Manolis Zampetakis
86
6
0
18 Oct 2022
On Convergence of Gradient Descent Ascent: A Tight Local Analysis
On Convergence of Gradient Descent Ascent: A Tight Local Analysis
Haochuan Li
Farzan Farnia
Subhro Das
Ali Jadbabaie
72
10
0
03 Jul 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
52
19
0
10 Jun 2022
Nest Your Adaptive Algorithm for Parameter-Agnostic Nonconvex Minimax
  Optimization
Nest Your Adaptive Algorithm for Parameter-Agnostic Nonconvex Minimax Optimization
Junchi Yang
Xiang Li
Niao He
ODL
64
22
0
01 Jun 2022
Faster Single-loop Algorithms for Minimax Optimization without Strong
  Concavity
Faster Single-loop Algorithms for Minimax Optimization without Strong Concavity
Junchi Yang
Antonio Orvieto
Aurelien Lucchi
Niao He
77
63
0
10 Dec 2021
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
Eduard A. Gorbunov
Nicolas Loizou
Gauthier Gidel
54
65
0
08 Oct 2021
Nonconvex-Nonconcave Min-Max Optimization with a Small Maximization
  Domain
Nonconvex-Nonconcave Min-Max Optimization with a Small Maximization Domain
Dmitrii Ostrovskii
Babak Barazandeh
Meisam Razaviyayn
61
11
0
08 Oct 2021
Minimax Optimization with Smooth Algorithmic Adversaries
Minimax Optimization with Smooth Algorithmic Adversaries
Tanner Fiez
Chi Jin
Praneeth Netrapalli
Lillian J. Ratliff
AAML
31
11
0
02 Jun 2021
Complexity Lower Bounds for Nonconvex-Strongly-Concave Min-Max
  Optimization
Complexity Lower Bounds for Nonconvex-Strongly-Concave Min-Max Optimization
Haochuan Li
Yi Tian
Jingzhao Zhang
Ali Jadbabaie
45
40
0
18 Apr 2021
The Complexity of Nonconvex-Strongly-Concave Minimax Optimization
The Complexity of Nonconvex-Strongly-Concave Minimax Optimization
Siqi Zhang
Junchi Yang
Cristóbal Guzmán
Negar Kiyavash
Niao He
49
61
0
29 Mar 2021
Stochastic Variance Reduction for Variational Inequality Methods
Stochastic Variance Reduction for Variational Inequality Methods
Ahmet Alacaoglu
Yura Malitsky
60
70
0
16 Feb 2021
Efficient Methods for Structured Nonconvex-Nonconcave Min-Max
  Optimization
Efficient Methods for Structured Nonconvex-Nonconcave Min-Max Optimization
Jelena Diakonikolas
C. Daskalakis
Michael I. Jordan
44
143
0
31 Oct 2020
A Single-Loop Smoothed Gradient Descent-Ascent Algorithm for Nonconvex-Concave Min-Max Problems
A Single-Loop Smoothed Gradient Descent-Ascent Algorithm for Nonconvex-Concave Min-Max Problems
Jiawei Zhang
Peijun Xiao
Ruoyu Sun
Zhi-Quan Luo
92
98
0
29 Oct 2020
The Complexity of Constrained Min-Max Optimization
The Complexity of Constrained Min-Max Optimization
C. Daskalakis
Stratis Skoulakis
Manolis Zampetakis
81
136
0
21 Sep 2020
Stochastic Hamiltonian Gradient Methods for Smooth Games
Stochastic Hamiltonian Gradient Methods for Smooth Games
Nicolas Loizou
Hugo Berard
Alexia Jolicoeur-Martineau
Pascal Vincent
Simon Lacoste-Julien
Ioannis Mitliagkas
43
50
0
08 Jul 2020
A Unified Single-loop Alternating Gradient Projection Algorithm for
  Nonconvex-Concave and Convex-Nonconcave Minimax Problems
A Unified Single-loop Alternating Gradient Projection Algorithm for Nonconvex-Concave and Convex-Nonconcave Minimax Problems
Zi Xu
Hui-Li Zhang
Yang Xu
Guanghui Lan
55
99
0
03 Jun 2020
Solving Non-Convex Non-Differentiable Min-Max Games using Proximal
  Gradient Method
Solving Non-Convex Non-Differentiable Min-Max Games using Proximal Gradient Method
Babak Barazandeh
Meisam Razaviyayn
14
24
0
18 Mar 2020
Complexity of Finding Stationary Points of Nonsmooth Nonconvex Functions
Complexity of Finding Stationary Points of Nonsmooth Nonconvex Functions
J.N. Zhang
Hongzhou Lin
Stefanie Jegelka
Ali Jadbabaie
S. Sra
39
44
0
10 Feb 2020
Near-Optimal Algorithms for Minimax Optimization
Near-Optimal Algorithms for Minimax Optimization
Tianyi Lin
Chi Jin
Michael I. Jordan
105
252
0
05 Feb 2020
SGD Learns One-Layer Networks in WGANs
SGD Learns One-Layer Networks in WGANs
Qi Lei
Jason D. Lee
A. Dimakis
C. Daskalakis
GAN
35
35
0
15 Oct 2019
Efficient Algorithms for Smooth Minimax Optimization
Efficient Algorithms for Smooth Minimax Optimization
K. K. Thekumparampil
Prateek Jain
Praneeth Netrapalli
Sewoong Oh
66
191
0
02 Jul 2019
On Gradient Descent Ascent for Nonconvex-Concave Minimax Problems
On Gradient Descent Ascent for Nonconvex-Concave Minimax Problems
Tianyi Lin
Chi Jin
Michael I. Jordan
91
505
0
02 Jun 2019
Solving a Class of Non-Convex Min-Max Games Using Iterative First Order
  Methods
Solving a Class of Non-Convex Min-Max Games Using Iterative First Order Methods
Maher Nouiehed
Maziar Sanjabi
Tianjian Huang
Jason D. Lee
Meisam Razaviyayn
76
340
0
21 Feb 2019
Hybrid Block Successive Approximation for One-Sided Non-Convex Min-Max
  Problems: Algorithms and Applications
Hybrid Block Successive Approximation for One-Sided Non-Convex Min-Max Problems: Algorithms and Applications
Songtao Lu
Ioannis C. Tsaknakis
Mingyi Hong
Yongxin Chen
57
170
0
21 Feb 2019
A Unified Analysis of Extra-gradient and Optimistic Gradient Methods for
  Saddle Point Problems: Proximal Point Approach
A Unified Analysis of Extra-gradient and Optimistic Gradient Methods for Saddle Point Problems: Proximal Point Approach
Aryan Mokhtari
Asuman Ozdaglar
S. Pattathil
59
325
0
24 Jan 2019
Weakly-Convex Concave Min-Max Optimization: Provable Algorithms and
  Applications in Machine Learning
Weakly-Convex Concave Min-Max Optimization: Provable Algorithms and Applications in Machine Learning
Hassan Rafique
Mingrui Liu
Qihang Lin
Tianbao Yang
34
108
0
04 Oct 2018
Last-Iterate Convergence: Zero-Sum Games and Constrained Min-Max
  Optimization
Last-Iterate Convergence: Zero-Sum Games and Constrained Min-Max Optimization
C. Daskalakis
Ioannis Panageas
54
178
0
11 Jul 2018
The Limit Points of (Optimistic) Gradient Descent in Min-Max
  Optimization
The Limit Points of (Optimistic) Gradient Descent in Min-Max Optimization
C. Daskalakis
Ioannis Panageas
42
255
0
11 Jul 2018
Optimistic mirror descent in saddle-point problems: Going the extra
  (gradient) mile
Optimistic mirror descent in saddle-point problems: Going the extra (gradient) mile
P. Mertikopoulos
Bruno Lecouat
Houssam Zenati
Chuan-Sheng Foo
V. Chandrasekhar
Georgios Piliouras
120
294
0
07 Jul 2018
Local Saddle Point Optimization: A Curvature Exploitation Approach
Local Saddle Point Optimization: A Curvature Exploitation Approach
Leonard Adolphs
Hadi Daneshmand
Aurelien Lucchi
Thomas Hofmann
105
107
0
15 May 2018
Stochastic model-based minimization of weakly convex functions
Stochastic model-based minimization of weakly convex functions
Damek Davis
Dmitriy Drusvyatskiy
68
373
0
17 Mar 2018
On the Convergence and Robustness of Training GANs with Regularized
  Optimal Transport
On the Convergence and Robustness of Training GANs with Regularized Optimal Transport
Maziar Sanjabi
Jimmy Ba
Meisam Razaviyayn
Jason D. Lee
GAN
61
137
0
22 Feb 2018
Interaction Matters: A Note on Non-asymptotic Local Convergence of
  Generative Adversarial Networks
Interaction Matters: A Note on Non-asymptotic Local Convergence of Generative Adversarial Networks
Tengyuan Liang
J. Stokes
78
211
0
16 Feb 2018
The Mechanics of n-Player Differentiable Games
The Mechanics of n-Player Differentiable Games
David Balduzzi
S. Racanière
James Martens
Jakob N. Foerster
K. Tuyls
T. Graepel
MLT
60
274
0
15 Feb 2018
Training GANs with Optimism
Training GANs with Optimism
C. Daskalakis
Andrew Ilyas
Vasilis Syrgkanis
Haoyang Zeng
129
514
0
31 Oct 2017
Cycles in adversarial regularized learning
Cycles in adversarial regularized learning
P. Mertikopoulos
Christos H. Papadimitriou
Georgios Piliouras
47
319
0
08 Sep 2017
Towards Deep Learning Models Resistant to Adversarial Attacks
Towards Deep Learning Models Resistant to Adversarial Attacks
Aleksander Madry
Aleksandar Makelov
Ludwig Schmidt
Dimitris Tsipras
Adrian Vladu
SILM
OOD
243
11,962
0
19 Jun 2017
An Online Learning Approach to Generative Adversarial Networks
An Online Learning Approach to Generative Adversarial Networks
Paulina Grnarova
Kfir Y. Levy
Aurelien Lucchi
Thomas Hofmann
Andreas Krause
GAN
45
90
0
10 Jun 2017
Sub-sampled Cubic Regularization for Non-convex Optimization
Sub-sampled Cubic Regularization for Non-convex Optimization
Jonas Köhler
Aurelien Lucchi
47
165
0
16 May 2017
Distributionally Robust Logistic Regression
Distributionally Robust Logistic Regression
Soroosh Shafieezadeh-Abadeh
Peyman Mohajerin Esfahani
Daniel Kuhn
OOD
56
304
0
30 Sep 2015
Stochastic Gradient Descent for Non-smooth Optimization: Convergence
  Results and Optimal Averaging Schemes
Stochastic Gradient Descent for Non-smooth Optimization: Convergence Results and Optimal Averaging Schemes
Ohad Shamir
Tong Zhang
143
573
0
08 Dec 2012
Making Gradient Descent Optimal for Strongly Convex Stochastic
  Optimization
Making Gradient Descent Optimal for Strongly Convex Stochastic Optimization
Alexander Rakhlin
Ohad Shamir
Karthik Sridharan
130
764
0
26 Sep 2011
Solving variational inequalities with Stochastic Mirror-Prox algorithm
Solving variational inequalities with Stochastic Mirror-Prox algorithm
A. Juditsky
A. Nemirovskii
Claire Tauvel
119
441
0
04 Sep 2008
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