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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

29 October 2020
Jiawei Zhang
Peijun Xiao
Ruoyu Sun
Z. Luo
ArXivPDFHTML

Papers citing "A Single-Loop Smoothed Gradient Descent-Ascent Algorithm for Nonconvex-Concave Min-Max Problems"

50 / 52 papers shown
Title
Stochastic Smoothed Primal-Dual Algorithms for Nonconvex Optimization with Linear Inequality Constraints
Stochastic Smoothed Primal-Dual Algorithms for Nonconvex Optimization with Linear Inequality Constraints
Ruichuan Huang
Jiawei Zhang
Ahmet Alacaoglu
42
0
0
10 Apr 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
52
6
0
28 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
54
4
0
17 Jan 2025
Gradient Norm Regularization Second-Order Algorithms for Solving
  Nonconvex-Strongly Concave Minimax Problems
Gradient Norm Regularization Second-Order Algorithms for Solving Nonconvex-Strongly Concave Minimax Problems
Jun-Lin Wang
Zi Xu
75
1
0
24 Nov 2024
ADMM for Structured Fractional Minimization
ADMM for Structured Fractional Minimization
Ganzhao Yuan
31
0
0
12 Nov 2024
In-Trajectory Inverse Reinforcement Learning: Learn Incrementally Before An Ongoing Trajectory Terminates
In-Trajectory Inverse Reinforcement Learning: Learn Incrementally Before An Ongoing Trajectory Terminates
Shicheng Liu
Minghui Zhu
49
1
0
21 Oct 2024
Two Completely Parameter-Free Alternating Gradient Projection Algorithms
  for Nonconvex-(strongly) Concave Minimax Problems
Two Completely Parameter-Free Alternating Gradient Projection Algorithms for Nonconvex-(strongly) Concave Minimax Problems
Junnan Yang
Huiling Zhang
Zi Xu
31
1
0
31 Jul 2024
A Fully Parameter-Free Second-Order Algorithm for Convex-Concave Minimax
  Problems with Optimal Iteration Complexity
A Fully Parameter-Free Second-Order Algorithm for Convex-Concave Minimax Problems with Optimal Iteration Complexity
Junlin Wang
Junnan Yang
Zi Xu
34
2
0
04 Jul 2024
Single-loop Stochastic Algorithms for Difference of Max-Structured
  Weakly Convex Functions
Single-loop Stochastic Algorithms for Difference of Max-Structured Weakly Convex Functions
Quanqi Hu
Qi Qi
Zhaosong Lu
Tianbao Yang
34
1
0
28 May 2024
Continual Forgetting for Pre-trained Vision Models
Continual Forgetting for Pre-trained Vision Models
Hongbo Zhao
Bolin Ni
Haochen Wang
Junsong Fan
Fei Zhu
Yuxi Wang
Yuntao Chen
Gaofeng Meng
Zhaoxiang Zhang
MU
VLM
63
11
0
18 Mar 2024
Dissipative Gradient Descent Ascent Method: A Control Theory Inspired
  Algorithm for Min-max Optimization
Dissipative Gradient Descent Ascent Method: A Control Theory Inspired Algorithm for Min-max Optimization
Tianqi Zheng
Nicolas Loizou
Pengcheng You
Enrique Mallada
29
1
0
14 Mar 2024
Inverse Design of Photonic Crystal Surface Emitting Lasers is a Sequence
  Modeling Problem
Inverse Design of Photonic Crystal Surface Emitting Lasers is a Sequence Modeling Problem
Ceyao Zhang
Renjie Li
Cheng Zhang
Zhaoyu Zhang
Feng Yin
29
0
0
08 Mar 2024
Smooth Tchebycheff Scalarization for Multi-Objective Optimization
Smooth Tchebycheff Scalarization for Multi-Objective Optimization
Xi Lin
Xiao-Yan Zhang
Zhiyuan Yang
Fei Liu
Zhenkun Wang
Qingfu Zhang
35
16
0
29 Feb 2024
Zeroth-Order primal-dual Alternating Projection Gradient Algorithms for
  Nonconvex Minimax Problems with Coupled linear Constraints
Zeroth-Order primal-dual Alternating Projection Gradient Algorithms for Nonconvex Minimax Problems with Coupled linear Constraints
Hui-Li Zhang
Zi Xu
Yuhong Dai
16
1
0
26 Jan 2024
Fast Nonlinear Two-Time-Scale Stochastic Approximation: Achieving
  $O(1/k)$ Finite-Sample Complexity
Fast Nonlinear Two-Time-Scale Stochastic Approximation: Achieving O(1/k)O(1/k)O(1/k) Finite-Sample Complexity
Thinh T. Doan
30
7
0
23 Jan 2024
Stochastic Smoothed Gradient Descent Ascent for Federated Minimax
  Optimization
Stochastic Smoothed Gradient Descent Ascent for Federated Minimax Optimization
Wei Shen
Minhui Huang
Jiawei Zhang
Cong Shen
FedML
33
1
0
02 Nov 2023
Complexity of Single Loop Algorithms for Nonlinear Programming with
  Stochastic Objective and Constraints
Complexity of Single Loop Algorithms for Nonlinear Programming with Stochastic Objective and Constraints
Ahmet Alacaoglu
Stephen J. Wright
20
10
0
01 Nov 2023
An accelerated first-order regularized momentum descent ascent algorithm
  for stochastic nonconvex-concave minimax problems
An accelerated first-order regularized momentum descent ascent algorithm for stochastic nonconvex-concave minimax problems
Hui-Li Zhang
Zi Xu
ODL
29
0
0
24 Oct 2023
On Penalty Methods for Nonconvex Bilevel Optimization and First-Order
  Stochastic Approximation
On Penalty Methods for Nonconvex Bilevel Optimization and First-Order Stochastic Approximation
Jeongyeol Kwon
Dohyun Kwon
Steve Wright
Robert D. Nowak
26
25
0
04 Sep 2023
Accelerating Inexact HyperGradient Descent for Bilevel Optimization
Accelerating Inexact HyperGradient Descent for Bilevel Optimization
Hai-Long Yang
Luo Luo
C. J. Li
Michael I. Jordan
18
13
0
30 Jun 2023
Federated Compositional Deep AUC Maximization
Federated Compositional Deep AUC Maximization
Xinwen Zhang
Yihang Zhang
Tianbao Yang
Richard Souvenir
Hongchang Gao
FedML
20
7
0
20 Apr 2023
Decentralized gradient descent maximization method for composite
  nonconvex strongly-concave minimax problems
Decentralized gradient descent maximization method for composite nonconvex strongly-concave minimax problems
Yangyang Xu
24
9
0
05 Apr 2023
Enhanced Adaptive Gradient Algorithms for Nonconvex-PL Minimax Optimization
Enhanced Adaptive Gradient Algorithms for Nonconvex-PL Minimax Optimization
Feihu Huang
Chunyu Xuan
Xinrui Wang
Siqi Zhang
Songcan Chen
28
7
0
07 Mar 2023
Federated Minimax Optimization with Client Heterogeneity
Federated Minimax Optimization with Client Heterogeneity
Pranay Sharma
Rohan Panda
Gauri Joshi
FedML
30
9
0
08 Feb 2023
A first-order augmented Lagrangian method for constrained minimax
  optimization
A first-order augmented Lagrangian method for constrained minimax optimization
Zhaosong Lu
Sanyou Mei
21
6
0
05 Jan 2023
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
40
13
0
26 Dec 2022
Policy Gradient in Robust MDPs with Global Convergence Guarantee
Policy Gradient in Robust MDPs with Global Convergence Guarantee
Qiuhao Wang
C. Ho
Marek Petrik
27
24
0
20 Dec 2022
Primal Dual Alternating Proximal Gradient Algorithms for Nonsmooth
  Nonconvex Minimax Problems with Coupled Linear Constraints
Primal Dual Alternating Proximal Gradient Algorithms for Nonsmooth Nonconvex Minimax Problems with Coupled Linear Constraints
Hui-Li Zhang
Junlin Wang
Zi Xu
Y. Dai
72
4
0
09 Dec 2022
An Efficient Stochastic Algorithm for Decentralized
  Nonconvex-Strongly-Concave Minimax Optimization
An Efficient Stochastic Algorithm for Decentralized Nonconvex-Strongly-Concave Minimax Optimization
Le‐Yu Chen
Haishan Ye
Luo Luo
60
5
0
05 Dec 2022
Zeroth-Order Alternating Gradient Descent Ascent Algorithms for a Class
  of Nonconvex-Nonconcave Minimax Problems
Zeroth-Order Alternating Gradient Descent Ascent Algorithms for a Class of Nonconvex-Nonconcave Minimax Problems
Zi Xu
Ziqi Wang
Junlin Wang
Y. Dai
11
11
0
24 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
26
12
0
17 Oct 2022
Stability Analysis and Generalization Bounds of Adversarial Training
Stability Analysis and Generalization Bounds of Adversarial Training
Jiancong Xiao
Yanbo Fan
Ruoyu Sun
Jue Wang
Zhimin Luo
AAML
24
30
0
03 Oct 2022
A Single-Loop Gradient Descent and Perturbed Ascent Algorithm for
  Nonconvex Functional Constrained Optimization
A Single-Loop Gradient Descent and Perturbed Ascent Algorithm for Nonconvex Functional Constrained Optimization
Songtao Lu
19
18
0
12 Jul 2022
What is a Good Metric to Study Generalization of Minimax Learners?
What is a Good Metric to Study Generalization of Minimax Learners?
Asuman Ozdaglar
S. Pattathil
Jiawei Zhang
K. Zhang
19
13
0
09 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
27
22
0
01 Jun 2022
Generalization Bounds of Nonconvex-(Strongly)-Concave Stochastic Minimax
  Optimization
Generalization Bounds of Nonconvex-(Strongly)-Concave Stochastic Minimax Optimization
Siqi Zhang
Yifan Hu
Liang Zhang
Niao He
30
3
0
28 May 2022
Will Bilevel Optimizers Benefit from Loops
Will Bilevel Optimizers Benefit from Loops
Kaiyi Ji
Mingrui Liu
Yingbin Liang
Lei Ying
37
41
0
27 May 2022
Federated Minimax Optimization: Improved Convergence Analyses and
  Algorithms
Federated Minimax Optimization: Improved Convergence Analyses and Algorithms
Pranay Sharma
Rohan Panda
Gauri Joshi
P. Varshney
FedML
21
46
0
09 Mar 2022
Efficiently Escaping Saddle Points in Bilevel Optimization
Efficiently Escaping Saddle Points in Bilevel Optimization
Minhui Huang
Xuxing Chen
Kaiyi Ji
Shiqian Ma
Lifeng Lai
26
20
0
08 Feb 2022
Convergence Rates of Two-Time-Scale Gradient Descent-Ascent Dynamics for
  Solving Nonconvex Min-Max Problems
Convergence Rates of Two-Time-Scale Gradient Descent-Ascent Dynamics for Solving Nonconvex Min-Max Problems
Thinh T. Doan
20
15
0
17 Dec 2021
Faster Single-loop Algorithms for Minimax Optimization without Strong
  Concavity
Faster Single-loop Algorithms for Minimax Optimization without Strong Concavity
Junchi Yang
Antonio Orvieto
Aurélien Lucchi
Niao He
22
61
0
10 Dec 2021
Randomized Stochastic Gradient Descent Ascent
Randomized Stochastic Gradient Descent Ascent
Othmane Sebbouh
Marco Cuturi
Gabriel Peyré
124
7
0
25 Nov 2021
Low-rank Matrix Recovery With Unknown Correspondence
Low-rank Matrix Recovery With Unknown Correspondence
Zhiwei Tang
Tsung-Hui Chang
X. Ye
H. Zha
37
4
0
15 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
16
11
0
08 Oct 2021
GDA-AM: On the effectiveness of solving minimax optimization via
  Anderson Acceleration
GDA-AM: On the effectiveness of solving minimax optimization via Anderson Acceleration
Huan He
Shifan Zhao
Yuanzhe Xi
Joyce C. Ho
Y. Saad
30
1
0
06 Oct 2021
Derivative-free Alternating Projection Algorithms for General
  Nonconvex-Concave Minimax Problems
Derivative-free Alternating Projection Algorithms for General Nonconvex-Concave Minimax Problems
Zi Xu
Ziqi Wang
Jingjing Shen
Yuhong Dai
16
10
0
01 Aug 2021
Local AdaGrad-Type Algorithm for Stochastic Convex-Concave Optimization
Local AdaGrad-Type Algorithm for Stochastic Convex-Concave Optimization
Luofeng Liao
Li Shen
Jia Duan
Mladen Kolar
Dacheng Tao
19
4
0
18 Jun 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
31
60
0
29 Mar 2021
Towards a Better Global Loss Landscape of GANs
Towards a Better Global Loss Landscape of GANs
Ruoyu Sun
Tiantian Fang
A. Schwing
GAN
30
26
0
10 Nov 2020
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks
Chelsea Finn
Pieter Abbeel
Sergey Levine
OOD
329
11,681
0
09 Mar 2017
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