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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
Generalization Bounded Implicit Learning of Nearly Discontinuous
  Functions
Generalization Bounded Implicit Learning of Nearly Discontinuous Functions
Bibit Bianchini
Mathew Halm
Nikolai Matni
Michael Posa
83
12
0
13 Dec 2021
Convergence proof for stochastic gradient descent in the training of
  deep neural networks with ReLU activation for constant target functions
Convergence proof for stochastic gradient descent in the training of deep neural networks with ReLU activation for constant target functions
Martin Hutzenthaler
Arnulf Jentzen
Katharina Pohl
Adrian Riekert
Luca Scarpa
MLT
105
7
0
13 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
Aurelien Lucchi
Niao He
109
64
0
10 Dec 2021
Extending AdamW by Leveraging Its Second Moment and Magnitude
Extending AdamW by Leveraging Its Second Moment and Magnitude
Guoqiang Zhang
Niwa Kenta
W. Kleijn
53
3
0
09 Dec 2021
Breaking the Convergence Barrier: Optimization via Fixed-Time Convergent
  Flows
Breaking the Convergence Barrier: Optimization via Fixed-Time Convergent Flows
Param Budhraja
Mayank Baranwal
Kunal Garg
A. Hota
53
9
0
02 Dec 2021
Improved Fine-Tuning by Better Leveraging Pre-Training Data
Improved Fine-Tuning by Better Leveraging Pre-Training Data
Ziquan Liu
Yi Tian Xu
Yuanhong Xu
Qi Qian
Hao Li
Xiangyang Ji
Antoni B. Chan
Rong Jin
55
42
0
24 Nov 2021
Simple Stochastic and Online Gradient Descent Algorithms for Pairwise
  Learning
Simple Stochastic and Online Gradient Descent Algorithms for Pairwise Learning
Zhenhuan Yang
Yunwen Lei
Puyu Wang
Tianbao Yang
Yiming Ying
70
26
0
23 Nov 2021
Linear Speedup in Personalized Collaborative Learning
Linear Speedup in Personalized Collaborative Learning
El Mahdi Chayti
Sai Praneeth Karimireddy
Sebastian U. Stich
Nicolas Flammarion
Martin Jaggi
FedML
68
13
0
10 Nov 2021
Learning Rates for Nonconvex Pairwise Learning
Learning Rates for Nonconvex Pairwise Learning
Shaojie Li
Yong Liu
87
2
0
09 Nov 2021
Finding the Optimal Dynamic Treatment Regime Using Smooth Fisher
  Consistent Surrogate Loss
Finding the Optimal Dynamic Treatment Regime Using Smooth Fisher Consistent Surrogate Loss
Nilanjana Laha
Aaron Sonabend-W
Rajarshi Mukherjee
Tianxi Cai
24
2
0
03 Nov 2021
Distributed Principal Component Analysis with Limited Communication
Distributed Principal Component Analysis with Limited Communication
Foivos Alimisis
Peter Davies
Bart Vandereycken
Dan Alistarh
75
12
0
27 Oct 2021
Towards Noise-adaptive, Problem-adaptive (Accelerated) Stochastic
  Gradient Descent
Towards Noise-adaptive, Problem-adaptive (Accelerated) Stochastic Gradient Descent
Sharan Vaswani
Benjamin Dubois-Taine
Reza Babanezhad
98
13
0
21 Oct 2021
Stochastic Learning Rate Optimization in the Stochastic Approximation
  and Online Learning Settings
Stochastic Learning Rate Optimization in the Stochastic Approximation and Online Learning Settings
Theodoros Mamalis
D. Stipanović
P. Voulgaris
25
4
0
20 Oct 2021
A Unified and Refined Convergence Analysis for Non-Convex Decentralized
  Learning
A Unified and Refined Convergence Analysis for Non-Convex Decentralized Learning
Sulaiman A. Alghunaim
Kun Yuan
85
63
0
19 Oct 2021
A global convergence theory for deep ReLU implicit networks via
  over-parameterization
A global convergence theory for deep ReLU implicit networks via over-parameterization
Tianxiang Gao
Hailiang Liu
Jia Liu
Hridesh Rajan
Hongyang Gao
MLT
102
16
0
11 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
83
12
0
08 Oct 2021
Accelerating Perturbed Stochastic Iterates in Asynchronous Lock-Free
  Optimization
Accelerating Perturbed Stochastic Iterates in Asynchronous Lock-Free Optimization
Kaiwen Zhou
Anthony Man-Cho So
James Cheng
63
1
0
30 Sep 2021
A Two-Time-Scale Stochastic Optimization Framework with Applications in
  Control and Reinforcement Learning
A Two-Time-Scale Stochastic Optimization Framework with Applications in Control and Reinforcement Learning
Sihan Zeng
Thinh T. Doan
Justin Romberg
163
26
0
29 Sep 2021
DiNNO: Distributed Neural Network Optimization for Multi-Robot
  Collaborative Learning
DiNNO: Distributed Neural Network Optimization for Multi-Robot Collaborative Learning
Javier Yu
Joseph A. Vincent
Mac Schwager
136
38
0
17 Sep 2021
Non-Asymptotic Analysis of Stochastic Approximation Algorithms for
  Streaming Data
Non-Asymptotic Analysis of Stochastic Approximation Algorithms for Streaming Data
Antoine Godichon-Baggioni
Nicklas Werge
Olivier Wintenberger
101
7
0
15 Sep 2021
Bundled Gradients through Contact via Randomized Smoothing
Bundled Gradients through Contact via Randomized Smoothing
H.J. Terry Suh
Tao Pang
Russ Tedrake
157
54
0
11 Sep 2021
Iterated Vector Fields and Conservatism, with Applications to Federated
  Learning
Iterated Vector Fields and Conservatism, with Applications to Federated Learning
Zachary B. Charles
Keith Rush
72
6
0
08 Sep 2021
Dash: Semi-Supervised Learning with Dynamic Thresholding
Dash: Semi-Supervised Learning with Dynamic Thresholding
Yi Tian Xu
Lei Shang
Jinxing Ye
Qi Qian
Yu-Feng Li
Baigui Sun
Hao Li
Rong Jin
120
225
0
01 Sep 2021
Adaptive shot allocation for fast convergence in variational quantum
  algorithms
Adaptive shot allocation for fast convergence in variational quantum algorithms
Andi Gu
Angus Lowe
Pavel A. Dub
Patrick J. Coles
A. Arrasmith
67
22
0
23 Aug 2021
Existence, uniqueness, and convergence rates for gradient flows in the
  training of artificial neural networks with ReLU activation
Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation
Simon Eberle
Arnulf Jentzen
Adrian Riekert
G. Weiss
68
12
0
18 Aug 2021
A proof of convergence for the gradient descent optimization method with
  random initializations in the training of neural networks with ReLU
  activation for piecewise linear target functions
A proof of convergence for the gradient descent optimization method with random initializations in the training of neural networks with ReLU activation for piecewise linear target functions
Arnulf Jentzen
Adrian Riekert
69
13
0
10 Aug 2021
Convergence of gradient descent for learning linear neural networks
Convergence of gradient descent for learning linear neural networks
Gabin Maxime Nguegnang
Holger Rauhut
Ulrich Terstiege
MLT
54
18
0
04 Aug 2021
Exact Pareto Optimal Search for Multi-Task Learning and Multi-Criteria
  Decision-Making
Exact Pareto Optimal Search for Multi-Task Learning and Multi-Criteria Decision-Making
Debabrata Mahapatra
Vaibhav Rajan
59
2
0
02 Aug 2021
Faster Rates of Private Stochastic Convex Optimization
Faster Rates of Private Stochastic Convex Optimization
Jinyan Su
Lijie Hu
Di Wang
70
13
0
31 Jul 2021
SGD with a Constant Large Learning Rate Can Converge to Local Maxima
SGD with a Constant Large Learning Rate Can Converge to Local Maxima
Liu Ziyin
Botao Li
James B. Simon
Masakuni Ueda
75
9
0
25 Jul 2021
On the Convergence of Prior-Guided Zeroth-Order Optimization Algorithms
On the Convergence of Prior-Guided Zeroth-Order Optimization Algorithms
Shuyu Cheng
Guoqiang Wu
Jun Zhu
42
17
0
21 Jul 2021
Improved Learning Rates for Stochastic Optimization: Two Theoretical
  Viewpoints
Improved Learning Rates for Stochastic Optimization: Two Theoretical Viewpoints
Shaojie Li
Yong Liu
103
13
0
19 Jul 2021
Nonparametric Regression with Shallow Overparameterized Neural Networks Trained by GD with Early Stopping
Ilja Kuzborskij
Csaba Szepesvári
89
7
0
12 Jul 2021
Stochastic Gradient Descent-Ascent and Consensus Optimization for Smooth
  Games: Convergence Analysis under Expected Co-coercivity
Stochastic Gradient Descent-Ascent and Consensus Optimization for Smooth Games: Convergence Analysis under Expected Co-coercivity
Nicolas Loizou
Hugo Berard
Gauthier Gidel
Ioannis Mitliagkas
Simon Lacoste-Julien
94
54
0
30 Jun 2021
Faithful Edge Federated Learning: Scalability and Privacy
Faithful Edge Federated Learning: Scalability and Privacy
Meng Zhang
Ermin Wei
R. Berry
FedML
79
45
0
30 Jun 2021
Approximate Frank-Wolfe Algorithms over Graph-structured Support Sets
Approximate Frank-Wolfe Algorithms over Graph-structured Support Sets
Baojian Zhou
Yifan Sun
63
1
0
29 Jun 2021
Proxy Convexity: A Unified Framework for the Analysis of Neural Networks
  Trained by Gradient Descent
Proxy Convexity: A Unified Framework for the Analysis of Neural Networks Trained by Gradient Descent
Spencer Frei
Quanquan Gu
89
26
0
25 Jun 2021
Who Leads and Who Follows in Strategic Classification?
Who Leads and Who Follows in Strategic Classification?
Tijana Zrnic
Eric Mazumdar
S. Shankar Sastry
Michael I. Jordan
82
55
0
23 Jun 2021
AC/DC: Alternating Compressed/DeCompressed Training of Deep Neural
  Networks
AC/DC: Alternating Compressed/DeCompressed Training of Deep Neural Networks
Alexandra Peste
Eugenia Iofinova
Adrian Vladu
Dan Alistarh
AI4CE
415
72
0
23 Jun 2021
Reusing Combinatorial Structure: Faster Iterative Projections over
  Submodular Base Polytopes
Reusing Combinatorial Structure: Faster Iterative Projections over Submodular Base Polytopes
Jai Moondra
Hassan Mortagy
Swati Gupta
87
4
0
22 Jun 2021
Robust Training in High Dimensions via Block Coordinate Geometric Median
  Descent
Robust Training in High Dimensions via Block Coordinate Geometric Median Descent
Anish Acharya
Abolfazl Hashemi
Prateek Jain
Sujay Sanghavi
Inderjit S. Dhillon
Ufuk Topcu
59
33
0
16 Jun 2021
Averaging on the Bures-Wasserstein manifold: dimension-free convergence
  of gradient descent
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent
Jason M. Altschuler
Sinho Chewi
P. Gerber
Austin J. Stromme
84
37
0
16 Jun 2021
Communication-efficient SGD: From Local SGD to One-Shot Averaging
Communication-efficient SGD: From Local SGD to One-Shot Averaging
Artin Spiridonoff
Alexander Olshevsky
I. Paschalidis
FedML
95
20
0
09 Jun 2021
On the Convergence Rate of Off-Policy Policy Optimization Methods with
  Density-Ratio Correction
On the Convergence Rate of Off-Policy Policy Optimization Methods with Density-Ratio Correction
Jiawei Huang
Nan Jiang
91
5
0
02 Jun 2021
Fit without fear: remarkable mathematical phenomena of deep learning
  through the prism of interpolation
Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation
M. Belkin
68
186
0
29 May 2021
CDMA: A Practical Cross-Device Federated Learning Algorithm for General
  Minimax Problems
CDMA: A Practical Cross-Device Federated Learning Algorithm for General Minimax Problems
Jiahao Xie
Chao Zhang
Zebang Shen
Weijie Liu
Hui Qian
FedML
46
1
0
29 May 2021
SG-PALM: a Fast Physically Interpretable Tensor Graphical Model
SG-PALM: a Fast Physically Interpretable Tensor Graphical Model
Yu Wang
Alfred Hero
57
4
0
26 May 2021
Saddle Point Optimization with Approximate Minimization Oracle and its
  Application to Robust Berthing Control
Saddle Point Optimization with Approximate Minimization Oracle and its Application to Robust Berthing Control
Youhei Akimoto
Yoshiki Miyauchi
A. Maki
90
16
0
25 May 2021
Leveraging Non-uniformity in First-order Non-convex Optimization
Leveraging Non-uniformity in First-order Non-convex Optimization
Jincheng Mei
Yue Gao
Bo Dai
Csaba Szepesvári
Dale Schuurmans
90
50
0
13 May 2021
Why Does Multi-Epoch Training Help?
Why Does Multi-Epoch Training Help?
Yi Tian Xu
Qi Qian
Hao Li
Rong Jin
57
1
0
13 May 2021
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