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Sharp convergence rates for Langevin dynamics in the nonconvex setting
v1v2v3v4 (latest)

Sharp convergence rates for Langevin dynamics in the nonconvex setting

4 May 2018
Xiang Cheng
Niladri S. Chatterji
Yasin Abbasi-Yadkori
Peter L. Bartlett
Michael I. Jordan
ArXiv (abs)PDFHTML

Papers citing "Sharp convergence rates for Langevin dynamics in the nonconvex setting"

50 / 72 papers shown
Title
Diffusion at Absolute Zero: Langevin Sampling Using Successive Moreau Envelopes [conference paper]
Diffusion at Absolute Zero: Langevin Sampling Using Successive Moreau Envelopes [conference paper]
Andreas Habring
Alexander Falk
Thomas Pock
106
0
0
03 Feb 2025
On the Hardness of Sampling from Mixture Distributions via Langevin Dynamics
On the Hardness of Sampling from Mixture Distributions via Langevin Dynamics
Xiwei Cheng
Kexin Fu
Farzan Farnia
118
0
0
04 Jun 2024
ELF: Federated Langevin Algorithms with Primal, Dual and Bidirectional
  Compression
ELF: Federated Langevin Algorithms with Primal, Dual and Bidirectional Compression
Avetik G. Karagulyan
Peter Richtárik
FedML
64
6
0
08 Mar 2023
Kinetic Langevin MCMC Sampling Without Gradient Lipschitz Continuity --
  the Strongly Convex Case
Kinetic Langevin MCMC Sampling Without Gradient Lipschitz Continuity -- the Strongly Convex Case
Tim Johnston
Iosif Lytras
Sotirios Sabanis
79
9
0
19 Jan 2023
Unadjusted Hamiltonian MCMC with Stratified Monte Carlo Time Integration
Unadjusted Hamiltonian MCMC with Stratified Monte Carlo Time Integration
Nawaf Bou-Rabee
Milo Marsden
76
13
0
20 Nov 2022
Asynchronous Bayesian Learning over a Network
Asynchronous Bayesian Learning over a Network
Kinjal Bhar
H. Bai
Jemin George
Carl E. Busart
FedML
56
0
0
16 Nov 2022
Langevin dynamics based algorithm e-TH$\varepsilon$O POULA for
  stochastic optimization problems with discontinuous stochastic gradient
Langevin dynamics based algorithm e-THε\varepsilonεO POULA for stochastic optimization problems with discontinuous stochastic gradient
Dongjae Lim
Ariel Neufeld
Sotirios Sabanis
Ying Zhang
66
7
0
24 Oct 2022
Resolving the Mixing Time of the Langevin Algorithm to its Stationary
  Distribution for Log-Concave Sampling
Resolving the Mixing Time of the Langevin Algorithm to its Stationary Distribution for Log-Concave Sampling
Jason M. Altschuler
Kunal Talwar
105
25
0
16 Oct 2022
Fisher information lower bounds for sampling
Fisher information lower bounds for sampling
Sinho Chewi
P. Gerber
Holden Lee
Chen Lu
115
15
0
05 Oct 2022
Gradient Norm Minimization of Nesterov Acceleration: $o(1/k^3)$
Gradient Norm Minimization of Nesterov Acceleration: o(1/k3)o(1/k^3)o(1/k3)
Shu Chen
Bin Shi
Ya-xiang Yuan
68
15
0
19 Sep 2022
Bregman Proximal Langevin Monte Carlo via Bregman--Moreau Envelopes
Bregman Proximal Langevin Monte Carlo via Bregman--Moreau Envelopes
Tim Tsz-Kit Lau
Han Liu
127
7
0
10 Jul 2022
Non-asymptotic convergence bounds for modified tamed unadjusted Langevin
  algorithm in non-convex setting
Non-asymptotic convergence bounds for modified tamed unadjusted Langevin algorithm in non-convex setting
Ariel Neufeld
Matthew Ng Cheng En
Ying Zhang
85
12
0
06 Jul 2022
Convergence of Stein Variational Gradient Descent under a Weaker
  Smoothness Condition
Convergence of Stein Variational Gradient Descent under a Weaker Smoothness Condition
Lukang Sun
Avetik G. Karagulyan
Peter Richtárik
88
19
0
01 Jun 2022
Constrained Langevin Algorithms with L-mixing External Random Variables
Constrained Langevin Algorithms with L-mixing External Random Variables
Yu Zheng
Andrew G. Lamperski
83
6
0
27 May 2022
Towards a Theory of Non-Log-Concave Sampling: First-Order Stationarity
  Guarantees for Langevin Monte Carlo
Towards a Theory of Non-Log-Concave Sampling: First-Order Stationarity Guarantees for Langevin Monte Carlo
Krishnakumar Balasubramanian
Sinho Chewi
Murat A. Erdogdu
Adil Salim
Matthew Shunshi Zhang
108
65
0
10 Feb 2022
Heavy-tailed Sampling via Transformed Unadjusted Langevin Algorithm
Heavy-tailed Sampling via Transformed Unadjusted Langevin Algorithm
Ye He
Krishnakumar Balasubramanian
Murat A. Erdogdu
83
5
0
20 Jan 2022
Heavy-tailed denoising score matching
Heavy-tailed denoising score matching
J. Deasy
Nikola Simidjievski
Pietro Lio
DiffM
81
16
0
17 Dec 2021
Unadjusted Langevin algorithm for sampling a mixture of weakly smooth potentials
D. Nguyen
58
5
0
17 Dec 2021
A generalization gap estimation for overparameterized models via the
  Langevin functional variance
A generalization gap estimation for overparameterized models via the Langevin functional variance
Akifumi Okuno
Keisuke Yano
102
2
0
07 Dec 2021
When is the Convergence Time of Langevin Algorithms Dimension
  Independent? A Composite Optimization Viewpoint
When is the Convergence Time of Langevin Algorithms Dimension Independent? A Composite Optimization Viewpoint
Y. Freund
Yi-An Ma
Tong Zhang
72
16
0
05 Oct 2021
Minimax Mixing Time of the Metropolis-Adjusted Langevin Algorithm for
  Log-Concave Sampling
Minimax Mixing Time of the Metropolis-Adjusted Langevin Algorithm for Log-Concave Sampling
Keru Wu
S. Schmidler
Yuansi Chen
127
54
0
27 Sep 2021
Sqrt(d) Dimension Dependence of Langevin Monte Carlo
Sqrt(d) Dimension Dependence of Langevin Monte Carlo
Ruilin Li
H. Zha
Molei Tao
94
29
0
08 Sep 2021
Non-asymptotic estimates for TUSLA algorithm for non-convex learning
  with applications to neural networks with ReLU activation function
Non-asymptotic estimates for TUSLA algorithm for non-convex learning with applications to neural networks with ReLU activation function
Dongjae Lim
Ariel Neufeld
Sotirios Sabanis
Ying Zhang
80
20
0
19 Jul 2021
Convergence Analysis of Schr{ö}dinger-F{ö}llmer Sampler without
  Convexity
Convergence Analysis of Schr{ö}dinger-F{ö}llmer Sampler without Convexity
Yuling Jiao
Lican Kang
Yanyan Liu
Youzhou Zhou
OT
47
6
0
10 Jul 2021
Schr{ö}dinger-F{ö}llmer Sampler: Sampling without Ergodicity
Schr{ö}dinger-F{ö}llmer Sampler: Sampling without Ergodicity
Jian Huang
Yuling Jiao
Lican Kang
Xu Liao
Jin Liu
Yanyan Liu
94
27
0
21 Jun 2021
A Unifying and Canonical Description of Measure-Preserving Diffusions
A Unifying and Canonical Description of Measure-Preserving Diffusions
Alessandro Barp
So Takao
M. Betancourt
Alexis Arnaudon
Mark Girolami
72
17
0
06 May 2021
Higher Order Generalization Error for First Order Discretization of
  Langevin Diffusion
Higher Order Generalization Error for First Order Discretization of Langevin Diffusion
Mufan Li
Maxime Gazeau
33
1
0
11 Feb 2021
Projected Stochastic Gradient Langevin Algorithms for Constrained
  Sampling and Non-Convex Learning
Projected Stochastic Gradient Langevin Algorithms for Constrained Sampling and Non-Convex Learning
Andrew G. Lamperski
42
28
0
22 Dec 2020
On the Ergodicity, Bias and Asymptotic Normality of Randomized Midpoint
  Sampling Method
On the Ergodicity, Bias and Asymptotic Normality of Randomized Midpoint Sampling Method
Ye He
Krishnakumar Balasubramanian
Murat A. Erdogdu
66
35
0
06 Nov 2020
Random Coordinate Underdamped Langevin Monte Carlo
Random Coordinate Underdamped Langevin Monte Carlo
Zhiyan Ding
Qin Li
Jianfeng Lu
Stephen J. Wright
BDL
93
13
0
22 Oct 2020
Riemannian Langevin Algorithm for Solving Semidefinite Programs
Riemannian Langevin Algorithm for Solving Semidefinite Programs
Mufan Li
Murat A. Erdogdu
118
29
0
21 Oct 2020
Faster Convergence of Stochastic Gradient Langevin Dynamics for
  Non-Log-Concave Sampling
Faster Convergence of Stochastic Gradient Langevin Dynamics for Non-Log-Concave Sampling
Difan Zou
Pan Xu
Quanquan Gu
108
36
0
19 Oct 2020
Fast Convergence of Langevin Dynamics on Manifold: Geodesics meet
  Log-Sobolev
Fast Convergence of Langevin Dynamics on Manifold: Geodesics meet Log-Sobolev
Tianlin Li
Qi Lei
Ioannis Panageas
65
20
0
11 Oct 2020
Unnormalized Variational Bayes
Unnormalized Variational Bayes
Saeed Saremi
BDL
108
1
0
29 Jul 2020
Ergodicity of the underdamped mean-field Langevin dynamics
Ergodicity of the underdamped mean-field Langevin dynamics
A. Kazeykina
Zhenjie Ren
Xiaolu Tan
Junjian Yang
80
16
0
29 Jul 2020
High-dimensional MCMC with a standard splitting scheme for the
  underdamped Langevin diffusion
High-dimensional MCMC with a standard splitting scheme for the underdamped Langevin diffusion
Pierre Monmarché
100
47
0
10 Jul 2020
Taming neural networks with TUSLA: Non-convex learning via adaptive
  stochastic gradient Langevin algorithms
Taming neural networks with TUSLA: Non-convex learning via adaptive stochastic gradient Langevin algorithms
A. Lovas
Iosif Lytras
Miklós Rásonyi
Sotirios Sabanis
88
26
0
25 Jun 2020
An Analysis of Constant Step Size SGD in the Non-convex Regime:
  Asymptotic Normality and Bias
An Analysis of Constant Step Size SGD in the Non-convex Regime: Asymptotic Normality and Bias
Lu Yu
Krishnakumar Balasubramanian
S. Volgushev
Murat A. Erdogdu
106
52
0
14 Jun 2020
On the Convergence of Langevin Monte Carlo: The Interplay between Tail
  Growth and Smoothness
On the Convergence of Langevin Monte Carlo: The Interplay between Tail Growth and Smoothness
Murat A. Erdogdu
Rasa Hosseinzadeh
88
77
0
27 May 2020
Improving Sampling Accuracy of Stochastic Gradient MCMC Methods via
  Non-uniform Subsampling of Gradients
Improving Sampling Accuracy of Stochastic Gradient MCMC Methods via Non-uniform Subsampling of Gradients
Ruilin Li
Xin Wang
H. Zha
Molei Tao
34
4
0
20 Feb 2020
Nonasymptotic analysis of Stochastic Gradient Hamiltonian Monte Carlo
  under local conditions for nonconvex optimization
Nonasymptotic analysis of Stochastic Gradient Hamiltonian Monte Carlo under local conditions for nonconvex optimization
Ömer Deniz Akyildiz
Sotirios Sabanis
97
17
0
13 Feb 2020
Wasserstein Control of Mirror Langevin Monte Carlo
Wasserstein Control of Mirror Langevin Monte Carlo
Kelvin Shuangjian Zhang
Gabriel Peyré
M. Fadili
Marcelo Pereyra
71
66
0
11 Feb 2020
Inference in Multi-Layer Networks with Matrix-Valued Unknowns
Inference in Multi-Layer Networks with Matrix-Valued Unknowns
Parthe Pandit
Mojtaba Sahraee-Ardakan
S. Rangan
P. Schniter
A. Fletcher
60
6
0
26 Jan 2020
Non-asymptotic error bounds for scaled underdamped Langevin MCMC
Non-asymptotic error bounds for scaled underdamped Langevin MCMC
T. Zajic
41
2
0
06 Dec 2019
Inference with Deep Generative Priors in High Dimensions
Inference with Deep Generative Priors in High Dimensions
Jillian R. Fisher
Mojtaba Sahraee-Ardakan
S. Rangan
Zaid Harchaoui
Yejin Choi
BDL
64
47
0
08 Nov 2019
Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo
Laplacian Smoothing Stochastic Gradient Markov Chain Monte Carlo
Bao Wang
Difan Zou
Quanquan Gu
Stanley Osher
BDL
54
9
0
02 Nov 2019
Nonasymptotic estimates for Stochastic Gradient Langevin Dynamics under
  local conditions in nonconvex optimization
Nonasymptotic estimates for Stochastic Gradient Langevin Dynamics under local conditions in nonconvex optimization
Ying Zhang
Ömer Deniz Akyildiz
Theodoros Damoulas
Sotirios Sabanis
104
47
0
04 Oct 2019
The Randomized Midpoint Method for Log-Concave Sampling
The Randomized Midpoint Method for Log-Concave Sampling
Ruoqi Shen
Y. Lee
125
118
0
12 Sep 2019
High-Order Langevin Diffusion Yields an Accelerated MCMC Algorithm
High-Order Langevin Diffusion Yields an Accelerated MCMC Algorithm
Wenlong Mou
Yian Ma
Martin J. Wainwright
Peter L. Bartlett
Michael I. Jordan
DiffM
81
85
0
28 Aug 2019
Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal
  Rates without Convexity
Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity
Wenlong Mou
Nicolas Flammarion
Martin J. Wainwright
Peter L. Bartlett
68
68
0
25 Jul 2019
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