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Bridging the Gap between Constant Step Size Stochastic Gradient Descent
  and Markov Chains
v1v2 (latest)

Bridging the Gap between Constant Step Size Stochastic Gradient Descent and Markov Chains

20 July 2017
Aymeric Dieuleveut
Alain Durmus
Francis R. Bach
ArXiv (abs)PDFHTML

Papers citing "Bridging the Gap between Constant Step Size Stochastic Gradient Descent and Markov Chains"

50 / 106 papers shown
Title
Sharp Gaussian approximations for Decentralized Federated Learning
Sharp Gaussian approximations for Decentralized Federated Learning
Soham Bonnerjee
Sayar Karmakar
Wei Biao Wu
FedML
83
0
0
12 May 2025
Towards Weaker Variance Assumptions for Stochastic Optimization
Towards Weaker Variance Assumptions for Stochastic Optimization
Ahmet Alacaoglu
Yura Malitsky
Stephen J. Wright
82
1
0
14 Apr 2025
A Piecewise Lyapunov Analysis of Sub-quadratic SGD: Applications to Robust and Quantile Regression
A Piecewise Lyapunov Analysis of Sub-quadratic SGD: Applications to Robust and Quantile Regression
Yixuan Zhang
Dongyan
Yudong Chen
Qiaomin Xie
58
0
0
11 Apr 2025
Randomised Splitting Methods and Stochastic Gradient Descent
Randomised Splitting Methods and Stochastic Gradient Descent
Luke Shaw
Peter A. Whalley
104
1
0
05 Apr 2025
Online Inference for Quantiles by Constant Learning-Rate Stochastic Gradient Descent
Ziyang Wei
Jiaqi Li
Likai Chen
Wei Biao Wu
114
0
0
04 Mar 2025
Reinforcement Teaching
Reinforcement Teaching
Alex Lewandowski
Calarina Muslimani
Dale Schuurmans
Matthew E. Taylor
Jun Luo
194
2
0
28 Jan 2025
Coupling-based Convergence Diagnostic and Stepsize Scheme for Stochastic
  Gradient Descent
Coupling-based Convergence Diagnostic and Stepsize Scheme for Stochastic Gradient Descent
Xiang Li
Qiaomin Xie
105
1
0
15 Dec 2024
Two-Timescale Linear Stochastic Approximation: Constant Stepsizes Go a
  Long Way
Two-Timescale Linear Stochastic Approximation: Constant Stepsizes Go a Long Way
Jeongyeol Kwon
Luke Dotson
Yudong Chen
Qiaomin Xie
79
1
0
16 Oct 2024
Nonasymptotic Analysis of Stochastic Gradient Descent with the Richardson-Romberg Extrapolation
Nonasymptotic Analysis of Stochastic Gradient Descent with the Richardson-Romberg Extrapolation
Marina Sheshukova
Denis Belomestny
Alain Durmus
Eric Moulines
Alexey Naumov
S. Samsonov
75
1
0
07 Oct 2024
Can LLMs predict the convergence of Stochastic Gradient Descent?
Can LLMs predict the convergence of Stochastic Gradient Descent?
Hiroki Sakaji
Abdelhakim Benechehab
Wataru Kuramoto
LRM
95
2
0
03 Aug 2024
Enhancing Stochastic Optimization for Statistical Efficiency Using
  ROOT-SGD with Diminishing Stepsize
Enhancing Stochastic Optimization for Statistical Efficiency Using ROOT-SGD with Diminishing Stepsize
Tong Zhang
Chris Junchi Li
76
0
0
15 Jul 2024
Effect of Random Learning Rate: Theoretical Analysis of SGD Dynamics in
  Non-Convex Optimization via Stationary Distribution
Effect of Random Learning Rate: Theoretical Analysis of SGD Dynamics in Non-Convex Optimization via Stationary Distribution
Naoki Yoshida
Shogo H. Nakakita
Masaaki Imaizumi
62
1
0
23 Jun 2024
An Analysis of Elo Rating Systems via Markov Chains
An Analysis of Elo Rating Systems via Markov Chains
Sam Olesker-Taylor
Luca Zanetti
114
1
0
09 Jun 2024
Computing the Bias of Constant-step Stochastic Approximation with
  Markovian Noise
Computing the Bias of Constant-step Stochastic Approximation with Markovian Noise
Sebastian Allmeier
Nicolas Gast
85
5
0
23 May 2024
Score-based Generative Models with Adaptive Momentum
Score-based Generative Models with Adaptive Momentum
Ziqing Wen
Xiaoge Deng
Ping Luo
Tao Sun
Dongsheng Li
DiffM
57
0
0
22 May 2024
Prelimit Coupling and Steady-State Convergence of Constant-stepsize
  Nonsmooth Contractive SA
Prelimit Coupling and Steady-State Convergence of Constant-stepsize Nonsmooth Contractive SA
Yixuan Zhang
D. Huo
Yudong Chen
Qiaomin Xie
77
2
0
09 Apr 2024
A Selective Review on Statistical Methods for Massive Data Computation:
  Distributed Computing, Subsampling, and Minibatch Techniques
A Selective Review on Statistical Methods for Massive Data Computation: Distributed Computing, Subsampling, and Minibatch Techniques
Xuetong Li
Yuan Gao
Hong Chang
Danyang Huang
Yingying Ma
...
Ke Xu
Jing Zhou
Xuening Zhu
Yingqiu Zhu
Hansheng Wang
68
9
0
17 Mar 2024
Rates of Convergence in the Central Limit Theorem for Markov Chains, with an Application to TD Learning
Rates of Convergence in the Central Limit Theorem for Markov Chains, with an Application to TD Learning
R. Srikant
115
6
0
28 Jan 2024
Constant Stepsize Q-learning: Distributional Convergence, Bias and
  Extrapolation
Constant Stepsize Q-learning: Distributional Convergence, Bias and Extrapolation
Yixuan Zhang
Qiaomin Xie
80
6
0
25 Jan 2024
Effectiveness of Constant Stepsize in Markovian LSA and Statistical
  Inference
Effectiveness of Constant Stepsize in Markovian LSA and Statistical Inference
D. Huo
Yudong Chen
Qiaomin Xie
64
4
0
18 Dec 2023
Approximate Heavy Tails in Offline (Multi-Pass) Stochastic Gradient
  Descent
Approximate Heavy Tails in Offline (Multi-Pass) Stochastic Gradient Descent
Krunoslav Lehman Pavasovic
Alain Durmus
Umut Simsekli
OffRL
33
2
0
27 Oct 2023
Robust Stochastic Optimization via Gradient Quantile Clipping
Robust Stochastic Optimization via Gradient Quantile Clipping
Ibrahim Merad
Stéphane Gaïffas
79
2
0
29 Sep 2023
Online covariance estimation for stochastic gradient descent under
  Markovian sampling
Online covariance estimation for stochastic gradient descent under Markovian sampling
Abhishek Roy
Krishnakumar Balasubramanian
97
6
0
03 Aug 2023
Linear Convergence of Black-Box Variational Inference: Should We Stick
  the Landing?
Linear Convergence of Black-Box Variational Inference: Should We Stick the Landing?
Kyurae Kim
Yian Ma
Jacob R. Gardner
103
7
0
27 Jul 2023
Stochastic Methods in Variational Inequalities: Ergodicity, Bias and
  Refinements
Stochastic Methods in Variational Inequalities: Ergodicity, Bias and Refinements
Emmanouil-Vasileios Vlatakis-Gkaragkounis
Angeliki Giannou
Yudong Chen
Qiaomin Xie
52
4
0
28 Jun 2023
Convergence and concentration properties of constant step-size SGD
  through Markov chains
Convergence and concentration properties of constant step-size SGD through Markov chains
Ibrahim Merad
Stéphane Gaïffas
68
5
0
20 Jun 2023
Lessons from Generalization Error Analysis of Federated Learning: You
  May Communicate Less Often!
Lessons from Generalization Error Analysis of Federated Learning: You May Communicate Less Often!
Romain Chor
Abdellatif Zaidi
Milad Sefidgaran
Yijun Wan
FedML
76
7
0
09 Jun 2023
Escaping mediocrity: how two-layer networks learn hard generalized
  linear models with SGD
Escaping mediocrity: how two-layer networks learn hard generalized linear models with SGD
Luca Arnaboldi
Florent Krzakala
Bruno Loureiro
Ludovic Stephan
MLT
99
5
0
29 May 2023
Statistical Analysis of Fixed Mini-Batch Gradient Descent Estimator
Statistical Analysis of Fixed Mini-Batch Gradient Descent Estimator
Haobo Qi
Feifei Wang
Hansheng Wang
61
13
0
13 Apr 2023
High-dimensional scaling limits and fluctuations of online least-squares
  SGD with smooth covariance
High-dimensional scaling limits and fluctuations of online least-squares SGD with smooth covariance
Krishnakumar Balasubramanian
Promit Ghosal
Ye He
107
5
0
03 Apr 2023
On the Utility of Equal Batch Sizes for Inference in Stochastic Gradient
  Descent
On the Utility of Equal Batch Sizes for Inference in Stochastic Gradient Descent
Rahul Singh
A. Shukla
Dootika Vats
56
0
0
14 Mar 2023
Statistical Inference for Linear Functionals of Online SGD in High-dimensional Linear Regression
Statistical Inference for Linear Functionals of Online SGD in High-dimensional Linear Regression
Bhavya Agrawalla
Krishnakumar Balasubramanian
Promit Ghosal
107
2
0
20 Feb 2023
Why is parameter averaging beneficial in SGD? An objective smoothing
  perspective
Why is parameter averaging beneficial in SGD? An objective smoothing perspective
Atsushi Nitanda
Ryuhei Kikuchi
Shugo Maeda
Denny Wu
FedML
49
0
0
18 Feb 2023
From high-dimensional & mean-field dynamics to dimensionless ODEs: A
  unifying approach to SGD in two-layers networks
From high-dimensional & mean-field dynamics to dimensionless ODEs: A unifying approach to SGD in two-layers networks
Luca Arnaboldi
Ludovic Stephan
Florent Krzakala
Bruno Loureiro
MLT
105
34
0
12 Feb 2023
Iterative regularization in classification via hinge loss diagonal
  descent
Iterative regularization in classification via hinge loss diagonal descent
Vassilis Apidopoulos
T. Poggio
Lorenzo Rosasco
S. Villa
63
2
0
24 Dec 2022
Bias and Extrapolation in Markovian Linear Stochastic Approximation with
  Constant Stepsizes
Bias and Extrapolation in Markovian Linear Stochastic Approximation with Constant Stepsizes
D. Huo
Yudong Chen
Qiaomin Xie
85
17
0
03 Oct 2022
Generalization Bounds for Stochastic Gradient Descent via Localized
  $\varepsilon$-Covers
Generalization Bounds for Stochastic Gradient Descent via Localized ε\varepsilonε-Covers
Sejun Park
Umut Simsekli
Murat A. Erdogdu
107
9
0
19 Sep 2022
Efficiency Ordering of Stochastic Gradient Descent
Efficiency Ordering of Stochastic Gradient Descent
Jie Hu
Vishwaraj Doshi
Do Young Eun
78
7
0
15 Sep 2022
On the generalization of learning algorithms that do not converge
On the generalization of learning algorithms that do not converge
N. Chandramoorthy
Andreas Loukas
Khashayar Gatmiry
Stefanie Jegelka
MLT
91
11
0
16 Aug 2022
Tuning Stochastic Gradient Algorithms for Statistical Inference via
  Large-Sample Asymptotics
Tuning Stochastic Gradient Algorithms for Statistical Inference via Large-Sample Asymptotics
Jeffrey Negrea
Jun Yang
Haoyue Feng
Daniel M. Roy
Jonathan H. Huggins
60
1
0
25 Jul 2022
High-dimensional limit theorems for SGD: Effective dynamics and critical
  scaling
High-dimensional limit theorems for SGD: Effective dynamics and critical scaling
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
135
59
0
08 Jun 2022
Estimation and Inference by Stochastic Optimization
Estimation and Inference by Stochastic Optimization
Jean-Jacques Forneron
79
5
0
06 May 2022
A Variance-Reduced Stochastic Accelerated Primal Dual Algorithm
A Variance-Reduced Stochastic Accelerated Primal Dual Algorithm
Bugra Can
Mert Gurbuzbalaban
N. Aybat
52
5
0
19 Feb 2022
Online Learning to Transport via the Minimal Selection Principle
Online Learning to Transport via the Minimal Selection Principle
Wenxuan Guo
Y. Hur
Tengyuan Liang
Christopher Ryan
53
3
0
09 Feb 2022
Non-Asymptotic Analysis of Online Multiplicative Stochastic Gradient
  Descent
Non-Asymptotic Analysis of Online Multiplicative Stochastic Gradient Descent
Riddhiman Bhattacharya
Tiefeng Jiang
54
0
0
14 Dec 2021
Stationary Behavior of Constant Stepsize SGD Type Algorithms: An
  Asymptotic Characterization
Stationary Behavior of Constant Stepsize SGD Type Algorithms: An Asymptotic Characterization
Zaiwei Chen
Shancong Mou
S. T. Maguluri
50
13
0
11 Nov 2021
Exponential escape efficiency of SGD from sharp minima in non-stationary
  regime
Exponential escape efficiency of SGD from sharp minima in non-stationary regime
Hikaru Ibayashi
Masaaki Imaizumi
97
4
0
07 Nov 2021
Sharp Bounds for Federated Averaging (Local SGD) and Continuous
  Perspective
Sharp Bounds for Federated Averaging (Local SGD) and Continuous Perspective
Margalit Glasgow
Honglin Yuan
Tengyu Ma
FedML
79
45
0
05 Nov 2021
Generalization Bounds using Lower Tail Exponents in Stochastic
  Optimizers
Generalization Bounds using Lower Tail Exponents in Stochastic Optimizers
Liam Hodgkinson
Umut Simsekli
Rajiv Khanna
Michael W. Mahoney
77
23
0
02 Aug 2021
Fractal Structure and Generalization Properties of Stochastic
  Optimization Algorithms
Fractal Structure and Generalization Properties of Stochastic Optimization Algorithms
A. Camuto
George Deligiannidis
Murat A. Erdogdu
Mert Gurbuzbalaban
Umut cSimcsekli
Lingjiong Zhu
80
29
0
09 Jun 2021
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