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Complexity Lower Bounds for Nonconvex-Strongly-Concave Min-Max
  Optimization

Complexity Lower Bounds for Nonconvex-Strongly-Concave Min-Max Optimization

Neural Information Processing Systems (NeurIPS), 2021
18 April 2021
Haochuan Li
Yi Tian
Jingzhao Zhang
Ali Jadbabaie
ArXiv (abs)PDFHTML

Papers citing "Complexity Lower Bounds for Nonconvex-Strongly-Concave Min-Max Optimization"

26 / 26 papers shown
On the Condition Number Dependency in Bilevel Optimization
On the Condition Number Dependency in Bilevel Optimization
Lesi Chen
Jingzhao Zhang
116
1
0
27 Nov 2025
Lower Complexity Bounds for Nonconvex-Strongly-Convex Bilevel Optimization with First-Order Oracles
Lower Complexity Bounds for Nonconvex-Strongly-Convex Bilevel Optimization with First-Order Oracles
Kaiyi Ji
136
0
0
24 Nov 2025
Stochastic Bilevel Optimization with Heavy-Tailed Noise
Stochastic Bilevel Optimization with Heavy-Tailed Noise
Zhuanghua Liu
Luo Luo
178
2
0
18 Sep 2025
Solving Convex-Concave Problems with O~(ε−4/7)\tilde{\mathcal{O}}(ε^{-4/7})O~(ε−4/7) Second-Order Oracle Complexity
Lesi Chen
Chengchang Liu
Luo Luo
Jingzhao Zhang
217
0
0
10 Jun 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
508
21
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 AnalysisMathematical programming (Math. Program.), 2022
Jiajin Li
Lingling Zhu
Anthony Man-Cho So
627
16
0
17 Jan 2025
Accelerated Stochastic Min-Max Optimization Based on Bias-corrected Momentum
Accelerated Stochastic Min-Max Optimization Based on Bias-corrected Momentum
H. Cai
Sulaiman A. Alghunaim
Ali H.Sayed
394
1
0
18 Jun 2024
Achieving Near-Optimal Convergence for Distributed Minimax Optimization
  with Adaptive Stepsizes
Achieving Near-Optimal Convergence for Distributed Minimax Optimization with Adaptive Stepsizes
Yan Huang
Xiang Li
Yipeng Shen
Niao He
Jinming Xu
309
2
0
05 Jun 2024
Two trust region type algorithms for solving nonconvex-strongly concave
  minimax problems
Two trust region type algorithms for solving nonconvex-strongly concave minimax problems
Tongliang Yao
Zi Xu
260
5
0
15 Feb 2024
Optimal Guarantees for Algorithmic Reproducibility and Gradient
  Complexity in Convex Optimization
Optimal Guarantees for Algorithmic Reproducibility and Gradient Complexity in Convex OptimizationNeural Information Processing Systems (NeurIPS), 2023
Liang Zhang
Junchi Yang
Amin Karbasi
Niao He
379
3
0
26 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 ApproximationInternational Conference on Learning Representations (ICLR), 2023
Jeongyeol Kwon
Dohyun Kwon
Steve Wright
Robert D. Nowak
405
56
0
04 Sep 2023
First-order Methods for Affinely Constrained Composite Non-convex
  Non-smooth Problems: Lower Complexity Bound and Near-optimal Methods
First-order Methods for Affinely Constrained Composite Non-convex Non-smooth Problems: Lower Complexity Bound and Near-optimal Methods
Wei Liu
Qihang Lin
Yangyang Xu
194
1
0
14 Jul 2023
Federated Minimax Optimization with Client Heterogeneity
Federated Minimax Optimization with Client Heterogeneity
Pranay Sharma
Rohan Panda
Gauri Joshi
FedML
306
10
0
08 Feb 2023
Iterative Minimax Games with Coupled Linear Constraints
Iterative Minimax Games with Coupled Linear Constraints
Hui-Li Zhang
Junlin Wang
Zi Xu
627
4
0
09 Dec 2022
TiAda: A Time-scale Adaptive Algorithm for Nonconvex Minimax Optimization
TiAda: A Time-scale Adaptive Algorithm for Nonconvex Minimax OptimizationInternational Conference on Learning Representations (ICLR), 2022
Xiang Li
Junchi Yang
Niao He
231
12
0
31 Oct 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 ProblemsNeural Information Processing Systems (NeurIPS), 2022
Pouria Mahdavinia
Yuyang Deng
Haochuan Li
M. Mahdavi
258
19
0
17 Oct 2022
A Survey of Decision Making in Adversarial Games
A Survey of Decision Making in Adversarial GamesScience China Information Sciences (Sci. China Inf. Sci.), 2022
Xiuxian Li
Min Meng
Yiguang Hong
Jie-bin Chen
AAML
284
24
0
16 Jul 2022
On Convergence of Gradient Descent Ascent: A Tight Local Analysis
On Convergence of Gradient Descent Ascent: A Tight Local AnalysisInternational Conference on Machine Learning (ICML), 2022
Haochuan Li
Farzan Farnia
Subhro Das
Ali Jadbabaie
251
12
0
03 Jul 2022
Nest Your Adaptive Algorithm for Parameter-Agnostic Nonconvex Minimax
  Optimization
Nest Your Adaptive Algorithm for Parameter-Agnostic Nonconvex Minimax OptimizationNeural Information Processing Systems (NeurIPS), 2022
Junchi Yang
Xiang Li
Niao He
ODL
274
25
0
01 Jun 2022
Generalization Bounds of Nonconvex-(Strongly)-Concave Stochastic Minimax
  Optimization
Generalization Bounds of Nonconvex-(Strongly)-Concave Stochastic Minimax OptimizationInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2022
Siqi Zhang
Yifan Hu
Liang Zhang
Niao He
290
6
0
28 May 2022
Federated Minimax Optimization: Improved Convergence Analyses and
  Algorithms
Federated Minimax Optimization: Improved Convergence Analyses and AlgorithmsInternational Conference on Machine Learning (ICML), 2022
Pranay Sharma
Rohan Panda
Gauri Joshi
P. Varshney
FedML
362
60
0
09 Mar 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
278
76
0
10 Dec 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
264
13
0
08 Oct 2021
Universal Approximation Under Constraints is Possible with Transformers
Universal Approximation Under Constraints is Possible with Transformers
Anastasis Kratsios
Behnoosh Zamanlooy
Tianlin Liu
Ivan Dokmanić
310
35
0
07 Oct 2021
Minimax Optimization with Smooth Algorithmic Adversaries
Minimax Optimization with Smooth Algorithmic AdversariesInternational Conference on Learning Representations (ICLR), 2021
Tanner Fiez
Chi Jin
Praneeth Netrapalli
Lillian J. Ratliff
AAML
226
11
0
02 Jun 2021
Universal Regular Conditional Distributions
Universal Regular Conditional DistributionsConstructive approximation (Constr. Approx.), 2021
Anastasis Kratsios
418
3
0
17 May 2021
1
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