Linear Convergence of the Primal-Dual Gradient Method for Convex-Concave Saddle Point Problems without Strong Convexity

5 February 2018

Papers citing "Linear Convergence of the Primal-Dual Gradient Method for Convex-Concave Saddle Point Problems without Strong Convexity"

48 / 48 papers shown

Title
Contractivity and linear convergence in bilinear saddle-point problems: An operator-theoretic approach Colin Dirren Mattia Bianchi Panagiotis D. Grontas John Lygeros Florian Dorfler 36 0 0 18 Oct 2024
Accelerating Distributed Optimization: A Primal-Dual Perspective on Local Steps Junchi Yang Murat Yildirim Qiu Feng 40 0 0 02 Jul 2024
First-Order Methods for Linearly Constrained Bilevel Optimization Guy Kornowski Swati Padmanabhan Kai Wang Zhe Zhang S. Sra 75 5 0 18 Jun 2024
A Primal-Dual-Assisted Penalty Approach to Bilevel Optimization with Coupled Constraints Liuyuan Jiang Quan-Wu Xiao Victor M. Tenorio Fernando Real-Rojas Antonio G. Marques Tianyi Chen 48 1 0 14 Jun 2024
Convergences for Minimax Optimization Problems over Infinite-Dimensional Spaces Towards Stability in Adversarial Training Takashi Furuya Satoshi Okuda Kazuma Suetake Yoshihide Sawada 27 0 0 02 Dec 2023
Local Convergence of Gradient Methods for Min-Max Games: Partial Curvature Generically Suffices Guillaume Wang Lénaïc Chizat 16 0 0 26 May 2023
Nesterov Meets Optimism: Rate-Optimal Separable Minimax Optimization C. J. Li An Yuan Gauthier Gidel Quanquan Gu Michael I. Jordan 23 6 0 31 Oct 2022
On Convergence of Gradient Descent Ascent: A Tight Local Analysis Haochuan Li Farzan Farnia Subhro Das Ali Jadbabaie 25 10 0 03 Jul 2022
Provable Constrained Stochastic Convex Optimization with XOR-Projected Gradient Descent Fan Ding Yijie Wang Jianzhu Ma Yexiang Xue 17 0 0 22 Mar 2022
Distributed saddle point problems for strongly concave-convex functions Muhammad I. Qureshi U. Khan 33 12 0 11 Feb 2022
Lifted Primal-Dual Method for Bilinearly Coupled Smooth Minimax Optimization K. K. Thekumparampil Niao He Sewoong Oh 26 29 0 19 Jan 2022
Accelerated Primal-Dual Gradient Method for Smooth and Convex-Concave Saddle-Point Problems with Bilinear Coupling D. Kovalev Alexander Gasnikov Peter Richtárik 32 33 0 30 Dec 2021
Accelerated Proximal Alternating Gradient-Descent-Ascent for Nonconvex Minimax Machine Learning Ziyi Chen Shaocong Ma Yi Zhou 17 8 0 22 Dec 2021
Doubly Optimal No-Regret Online Learning in Strongly Monotone Games with Bandit Feedback Wenjia Ba Tianyi Lin Jiawei Zhang Zhengyuan Zhou 19 9 0 06 Dec 2021
Joint inference and input optimization in equilibrium networks Swaminathan Gurumurthy Shaojie Bai Zachary Manchester J. Zico Kolter 24 19 0 25 Nov 2021
A Cubic Regularization Approach for Finding Local Minimax Points in Nonconvex Minimax Optimization Ziyi Chen Zhengyang Hu Qunwei Li Zhe Wang Yi Zhou 34 7 0 14 Oct 2021
Safe Pontryagin Differentiable Programming Wanxin Jin Shaoshuai Mou George J. Pappas 17 39 0 31 May 2021
Fast Distributionally Robust Learning with Variance Reduced Min-Max Optimization Yaodong Yu Tianyi Lin Eric Mazumdar Michael I. Jordan OOD 29 22 0 27 Apr 2021
Local Stochastic Gradient Descent Ascent: Convergence Analysis and Communication Efficiency Yuyang Deng M. Mahdavi 30 58 0 25 Feb 2021
Instrumental Variable Value Iteration for Causal Offline Reinforcement Learning Luofeng Liao Zuyue Fu Zhuoran Yang Yixin Wang Mladen Kolar Zhaoran Wang OffRL 18 34 0 19 Feb 2021
Efficient Algorithms for Federated Saddle Point Optimization Charlie Hou K. K. Thekumparampil Giulia Fanti Sewoong Oh FedML 21 23 0 12 Feb 2021
Local and Global Uniform Convexity Conditions Thomas Kerdreux Alexandre d’Aspremont Sebastian Pokutta 15 12 0 09 Feb 2021
Proximal Gradient Descent-Ascent: Variable Convergence under KŁ Geometry Ziyi Chen Yi Zhou Tengyu Xu Yingbin Liang 12 34 0 09 Feb 2021
On Convergence of Gradient Expected Sarsa( $λ$ ) Long Yang Gang Zheng Yu Zhang Qian Zheng Pengfei Li Gang Pan 19 2 0 14 Dec 2020
Train simultaneously, generalize better: Stability of gradient-based minimax learners Farzan Farnia Asuman Ozdaglar 23 47 0 23 Oct 2020
Novel min-max reformulations of Linear Inverse Problems Mohammed Rayyan Sheriff Debasish Chatterjee 12 1 0 05 Jul 2020
Gradient Free Minimax Optimization: Variance Reduction and Faster Convergence Tengyu Xu Zhe Wang Yingbin Liang H. Vincent Poor 18 30 0 16 Jun 2020
Cumulant GAN Yannis Pantazis D. Paul M. Fasoulakis Y. Stylianou M. Katsoulakis GAN 6 18 0 11 Jun 2020
Improved Algorithms for Convex-Concave Minimax Optimization Yuanhao Wang Jian Li 8 61 0 11 Jun 2020
Global Convergence and Variance-Reduced Optimization for a Class of Nonconvex-Nonconcave Minimax Problems Junchi Yang Negar Kiyavash Niao He 23 83 0 22 Feb 2020
An Optimal Multistage Stochastic Gradient Method for Minimax Problems Alireza Fallah Asuman Ozdaglar S. Pattathil 14 36 0 13 Feb 2020
An $O(s^r)$ -Resolution ODE Framework for Understanding Discrete-Time Algorithms and Applications to the Linear Convergence of Minimax Problems Haihao Lu 25 6 0 23 Jan 2020
Optimization and Learning with Information Streams: Time-varying Algorithms and Applications E. Dall’Anese Andrea Simonetto Stephen Becker Liam Madden 20 69 0 17 Oct 2019
Stochastic Variance Reduced Primal Dual Algorithms for Empirical Composition Optimization Adithya M. Devraj Jianshu Chen 17 13 0 22 Jul 2019
On the Global Convergence of Actor-Critic: A Case for Linear Quadratic Regulator with Ergodic Cost Zhuoran Yang Yongxin Chen Mingyi Hong Zhaoran Wang 24 39 0 14 Jul 2019
Efficient Algorithms for Smooth Minimax Optimization K. K. Thekumparampil Prateek Jain Praneeth Netrapalli Sewoong Oh 22 190 0 02 Jul 2019
Primal-Dual Block Frank-Wolfe Qi Lei Jiacheng Zhuo C. Caramanis Inderjit S. Dhillon A. Dimakis 15 0 0 06 Jun 2019
Last-iterate convergence rates for min-max optimization Jacob D. Abernethy Kevin A. Lai Andre Wibisono 11 73 0 05 Jun 2019
$Convergence Rate of $\mathcal{O}(1/k)$ for Optimistic Gradient and Extra-gradient Methods in Smooth Convex-Concave Saddle Point Problems$ Convergence Rate of $\mathcal{O}(1/k)$ for Optimistic Gradient and Extra-gradient Methods in Smooth Convex-Concave Saddle Point Problems Aryan Mokhtari Asuman Ozdaglar S. Pattathil 24 20 0 03 Jun 2019
On Gradient Descent Ascent for Nonconvex-Concave Minimax Problems Tianyi Lin Chi Jin Michael I. Jordan 11 499 0 02 Jun 2019
$Stochastic Primal-Dual Algorithms with Faster Convergence than $O(1/\sqrt{T})$ for Problems without Bilinear Structure$ Stochastic Primal-Dual Algorithms with Faster Convergence than $O(1/\sqrt{T})$ for Problems without Bilinear Structure Yan Yan Yi Tian Xu Qihang Lin Lijun Zhang Tianbao Yang 14 35 0 23 Apr 2019
On Structured Filtering-Clustering: Global Error Bound and Optimal First-Order Algorithms Nhat Ho Tianyi Lin Michael I. Jordan 25 2 0 16 Apr 2019
A Unified Analysis of Extra-gradient and Optimistic Gradient Methods for Saddle Point Problems: Proximal Point Approach Aryan Mokhtari Asuman Ozdaglar S. Pattathil 19 324 0 24 Jan 2019
On the Global Convergence of Imitation Learning: A Case for Linear Quadratic Regulator Qi Cai Mingyi Hong Yongxin Chen Zhaoran Wang 19 34 0 11 Jan 2019
Block Belief Propagation for Parameter Learning in Markov Random Fields You Lu Zhiyuan Liu Bert Huang 6 0 0 09 Nov 2018
Adversarial Label Learning Chidubem Arachie Bert Huang 14 22 0 22 May 2018
A Proximal Stochastic Gradient Method with Progressive Variance Reduction Lin Xiao Tong Zhang ODL 84 736 0 19 Mar 2014
Convex Sparse Matrix Factorizations Francis R. Bach Julien Mairal Jean Ponce 137 143 0 10 Dec 2008