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Linear Convergence of Gradient and Proximal-Gradient Methods Under the
  Polyak-Łojasiewicz Condition
v1v2v3v4 (latest)

Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-Łojasiewicz Condition

16 August 2016
Hamed Karimi
J. Nutini
Mark Schmidt
ArXiv (abs)PDFHTML

Papers citing "Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-Łojasiewicz Condition"

50 / 588 papers shown
Title
Taming Nonconvex Stochastic Mirror Descent with General Bregman
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Taming Nonconvex Stochastic Mirror Descent with General Bregman Divergence
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Niao He
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0
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Investigating Deep Watermark Security: An Adversarial Transferability
  Perspective
Investigating Deep Watermark Security: An Adversarial Transferability Perspective
Biqing Qi
Junqi Gao
Yiang Luo
Jianxing Liu
Ligang Wu
Bowen Zhou
AAML
54
3
0
26 Feb 2024
A Lower Bound for Estimating Fréchet Means
A Lower Bound for Estimating Fréchet Means
Shayan Hundrieser
B. Eltzner
S. Huckemann
44
2
0
19 Feb 2024
How to Make the Gradients Small Privately: Improved Rates for
  Differentially Private Non-Convex Optimization
How to Make the Gradients Small Privately: Improved Rates for Differentially Private Non-Convex Optimization
Andrew Lowy
Jonathan R. Ullman
Stephen J. Wright
95
8
0
17 Feb 2024
An Accelerated Distributed Stochastic Gradient Method with Momentum
An Accelerated Distributed Stochastic Gradient Method with Momentum
Kun-Yen Huang
Shi Pu
Angelia Nedić
81
10
0
15 Feb 2024
Differentially Private Zeroth-Order Methods for Scalable Large Language
  Model Finetuning
Differentially Private Zeroth-Order Methods for Scalable Large Language Model Finetuning
Zhicheng Liu
Jian Lou
Wenxuan Bao
Yihan Hu
Baochun Li
Zhan Qin
K. Ren
120
10
0
12 Feb 2024
Towards Quantifying the Preconditioning Effect of Adam
Towards Quantifying the Preconditioning Effect of Adam
Rudrajit Das
Naman Agarwal
Sujay Sanghavi
Inderjit S. Dhillon
30
7
0
11 Feb 2024
Federated Learning Can Find Friends That Are Advantageous
Federated Learning Can Find Friends That Are Advantageous
N. Tupitsa
Samuel Horváth
Martin Takávc
Eduard A. Gorbunov
FedML
97
2
0
07 Feb 2024
Non-convergence to global minimizers for Adam and stochastic gradient
  descent optimization and constructions of local minimizers in the training of
  artificial neural networks
Non-convergence to global minimizers for Adam and stochastic gradient descent optimization and constructions of local minimizers in the training of artificial neural networks
Arnulf Jentzen
Adrian Riekert
61
4
0
07 Feb 2024
Optimal sampling for stochastic and natural gradient descent
Optimal sampling for stochastic and natural gradient descent
Robert Gruhlke
A. Nouy
Philipp Trunschke
57
3
0
05 Feb 2024
Non-asymptotic Analysis of Biased Adaptive Stochastic Approximation
Non-asymptotic Analysis of Biased Adaptive Stochastic Approximation
Sobihan Surendran
Antoine Godichon-Baggioni
Adeline Fermanian
Sylvain Le Corff
100
2
0
05 Feb 2024
Careful with that Scalpel: Improving Gradient Surgery with an EMA
Careful with that Scalpel: Improving Gradient Surgery with an EMA
Yu-Guan Hsieh
James Thornton
Eugène Ndiaye
Michal Klein
Marco Cuturi
Pierre Ablin
MedIm
77
0
0
05 Feb 2024
On the Complexity of Finite-Sum Smooth Optimization under the
  Polyak-Łojasiewicz Condition
On the Complexity of Finite-Sum Smooth Optimization under the Polyak-Łojasiewicz Condition
Yunyan Bai
Yuxing Liu
Luo Luo
57
0
0
04 Feb 2024
Challenges in Training PINNs: A Loss Landscape Perspective
Challenges in Training PINNs: A Loss Landscape Perspective
Pratik Rathore
Weimu Lei
Zachary Frangella
Lu Lu
Madeleine Udell
AI4CEPINNODL
105
53
0
02 Feb 2024
Monotone, Bi-Lipschitz, and Polyak-Lojasiewicz Networks
Monotone, Bi-Lipschitz, and Polyak-Lojasiewicz Networks
Ruigang Wang
Krishnamurthy Dvijotham
I. Manchester
103
5
0
02 Feb 2024
Diffusion Stochastic Optimization for Min-Max Problems
Diffusion Stochastic Optimization for Min-Max Problems
H. Cai
Sulaiman A. Alghunaim
Ali H. Sayed
69
2
0
26 Jan 2024
Continuous-time Riemannian SGD and SVRG Flows on Wasserstein
  Probabilistic Space
Continuous-time Riemannian SGD and SVRG Flows on Wasserstein Probabilistic Space
Mingyang Yi
Bohan Wang
56
0
0
24 Jan 2024
Efficient Learning in Polyhedral Games via Best Response Oracles
Efficient Learning in Polyhedral Games via Best Response Oracles
Darshan Chakrabarti
Gabriele Farina
Christian Kroer
62
4
0
06 Dec 2023
Convergence Rates for Stochastic Approximation: Biased Noise with
  Unbounded Variance, and Applications
Convergence Rates for Stochastic Approximation: Biased Noise with Unbounded Variance, and Applications
Rajeeva Laxman Karandikar
M. Vidyasagar
46
10
0
05 Dec 2023
A New Random Reshuffling Method for Nonsmooth Nonconvex Finite-sum
  Optimization
A New Random Reshuffling Method for Nonsmooth Nonconvex Finite-sum Optimization
Junwen Qiu
Xiao Li
Andre Milzarek
93
3
0
02 Dec 2023
Data-Agnostic Model Poisoning against Federated Learning: A Graph
  Autoencoder Approach
Data-Agnostic Model Poisoning against Federated Learning: A Graph Autoencoder Approach
Kai Li
Jingjing Zheng
Xinnan Yuan
W. Ni
Ozgur B. Akan
H. Vincent Poor
AAML
80
16
0
30 Nov 2023
Critical Influence of Overparameterization on Sharpness-aware Minimization
Critical Influence of Overparameterization on Sharpness-aware Minimization
Sungbin Shin
Dongyeop Lee
Maksym Andriushchenko
Namhoon Lee
AAML
156
2
0
29 Nov 2023
Differentially Private SGD Without Clipping Bias: An Error-Feedback
  Approach
Differentially Private SGD Without Clipping Bias: An Error-Feedback Approach
Xinwei Zhang
Zhiqi Bu
Zhiwei Steven Wu
Mingyi Hong
52
7
0
24 Nov 2023
Locally Optimal Descent for Dynamic Stepsize Scheduling
Locally Optimal Descent for Dynamic Stepsize Scheduling
Gilad Yehudai
Alon Cohen
Amit Daniely
Yoel Drori
Tomer Koren
Mariano Schain
84
0
0
23 Nov 2023
Differentially Private Non-Convex Optimization under the KL Condition
  with Optimal Rates
Differentially Private Non-Convex Optimization under the KL Condition with Optimal Rates
Michael Menart
Enayat Ullah
Raman Arora
Raef Bassily
Cristóbal Guzmán
86
2
0
22 Nov 2023
Non-Uniform Smoothness for Gradient Descent
Non-Uniform Smoothness for Gradient Descent
A. Berahas
Lindon Roberts
Fred Roosta
93
4
0
15 Nov 2023
A Large Deviations Perspective on Policy Gradient Algorithms
A Large Deviations Perspective on Policy Gradient Algorithms
Wouter Jongeneel
Daniel Kuhn
Mengmeng Li
55
1
0
13 Nov 2023
Adaptive Mirror Descent Bilevel Optimization
Adaptive Mirror Descent Bilevel Optimization
Feihu Huang
107
1
0
08 Nov 2023
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
94
2
0
02 Nov 2023
AdaSub: Stochastic Optimization Using Second-Order Information in
  Low-Dimensional Subspaces
AdaSub: Stochastic Optimization Using Second-Order Information in Low-Dimensional Subspaces
João Victor Galvão da Mata
Martin S. Andersen
31
1
0
30 Oct 2023
Controlled Decoding from Language Models
Controlled Decoding from Language Models
Sidharth Mudgal
Jong Lee
H. Ganapathy
Yaguang Li
Tao Wang
...
Michael Collins
Trevor Strohman
Jilin Chen
Alex Beutel
Ahmad Beirami
112
91
0
25 Oct 2023
DYNAMITE: Dynamic Interplay of Mini-Batch Size and Aggregation Frequency
  for Federated Learning with Static and Streaming Dataset
DYNAMITE: Dynamic Interplay of Mini-Batch Size and Aggregation Frequency for Federated Learning with Static and Streaming Dataset
Weijie Liu
Xiaoxi Zhang
Jingpu Duan
Carlee Joe-Wong
Zhi Zhou
Xu Chen
73
9
0
20 Oct 2023
A connection between Tempering and Entropic Mirror Descent
A connection between Tempering and Entropic Mirror Descent
Nicolas Chopin
F. R. Crucinio
Anna Korba
49
14
0
18 Oct 2023
DPZero: Private Fine-Tuning of Language Models without Backpropagation
DPZero: Private Fine-Tuning of Language Models without Backpropagation
Liang Zhang
Bingcong Li
K. K. Thekumparampil
Sewoong Oh
Niao He
92
15
0
14 Oct 2023
Robust Distributed Learning: Tight Error Bounds and Breakdown Point
  under Data Heterogeneity
Robust Distributed Learning: Tight Error Bounds and Breakdown Point under Data Heterogeneity
Youssef Allouah
R. Guerraoui
Nirupam Gupta
Rafael Pinot
Geovani Rizk
OOD
80
18
0
24 Sep 2023
Distributionally Time-Varying Online Stochastic Optimization under
  Polyak-Łojasiewicz Condition with Application in Conditional Value-at-Risk
  Statistical Learning
Distributionally Time-Varying Online Stochastic Optimization under Polyak-Łojasiewicz Condition with Application in Conditional Value-at-Risk Statistical Learning
Yuen-Man Pun
Farhad Farokhi
Iman Shames
17
2
0
18 Sep 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
93
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0
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A Unified Analysis for the Subgradient Methods Minimizing Composite
  Nonconvex, Nonsmooth and Non-Lipschitz Functions
A Unified Analysis for the Subgradient Methods Minimizing Composite Nonconvex, Nonsmooth and Non-Lipschitz Functions
Daoli Zhu
Lei Zhao
Shuzhong Zhang
101
2
0
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Non-ergodic linear convergence property of the delayed gradient descent
  under the strongly convexity and the Polyak-Łojasiewicz condition
Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak-Łojasiewicz condition
Hyunggwon Choi
Woocheol Choi
Jinmyoung Seok
44
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A Homogenization Approach for Gradient-Dominated Stochastic Optimization
A Homogenization Approach for Gradient-Dominated Stochastic Optimization
Jiyuan Tan
Chenyu Xue
Chuwen Zhang
Qi Deng
Dongdong Ge
Yinyu Ye
50
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0
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Variance reduction techniques for stochastic proximal point algorithms
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Cheik Traoré
Vassilis Apidopoulos
Saverio Salzo
S. Villa
64
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0
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Understanding the robustness difference between stochastic gradient
  descent and adaptive gradient methods
Understanding the robustness difference between stochastic gradient descent and adaptive gradient methods
A. Ma
Yangchen Pan
Amir-massoud Farahmand
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61
7
0
13 Aug 2023
Faster Stochastic Algorithms for Minimax Optimization under
  Polyak--Łojasiewicz Conditions
Faster Stochastic Algorithms for Minimax Optimization under Polyak--Łojasiewicz Conditions
Le‐Yu Chen
Boyuan Yao
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64
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29 Jul 2023
Convergence of Adam for Non-convex Objectives: Relaxed Hyperparameters
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Convergence of Adam for Non-convex Objectives: Relaxed Hyperparameters and Non-ergodic Case
Meixuan He
Yuqing Liang
Jinlan Liu
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74
9
0
20 Jul 2023
Zero-th Order Algorithm for Softmax Attention Optimization
Zero-th Order Algorithm for Softmax Attention Optimization
Yichuan Deng
Zhihang Li
Sridhar Mahadevan
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62
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Performance of $\ell_1$ Regularization for Sparse Convex Optimization
Performance of ℓ1\ell_1ℓ1​ Regularization for Sparse Convex Optimization
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T. Yasuda
58
0
0
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Invex Programs: First Order Algorithms and Their Convergence
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Adarsh Barik
S. Sra
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58
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0
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Fairness-aware Federated Minimax Optimization with Convergence Guarantee
Fairness-aware Federated Minimax Optimization with Convergence Guarantee
Gerry Windiarto Mohamad Dunda
Shenghui Song
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56
2
0
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Accelerated Optimization Landscape of Linear-Quadratic Regulator
Accelerated Optimization Landscape of Linear-Quadratic Regulator
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Yuan‐Hua Ni
63
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0
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Analyzing and Improving Greedy 2-Coordinate Updates for
  Equality-Constrained Optimization via Steepest Descent in the 1-Norm
Analyzing and Improving Greedy 2-Coordinate Updates for Equality-Constrained Optimization via Steepest Descent in the 1-Norm
A. Ramesh
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Yihan Zhou
J. Lavington
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62
1
0
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