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Sharp convergence rates for Langevin dynamics in the nonconvex setting

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
ArXivPDFHTML

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

37 / 37 papers shown
Title
Operator-Level Quantum Acceleration of Non-Logconcave Sampling
Operator-Level Quantum Acceleration of Non-Logconcave Sampling
Jiaqi Leng
Zhiyan Ding
Zherui Chen
Lin Lin
62
0
0
08 May 2025
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
T. Pock
60
0
0
03 Feb 2025
Nonlinear Hamiltonian Monte Carlo & its Particle Approximation
Nonlinear Hamiltonian Monte Carlo & its Particle Approximation
Nawaf Bou-Rabee
Katharina Schuh
23
7
0
22 Aug 2023
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
31
6
0
08 Mar 2023
Convergence Rates for Non-Log-Concave Sampling and Log-Partition
  Estimation
Convergence Rates for Non-Log-Concave Sampling and Log-Partition Estimation
David Holzmüller
Francis R. Bach
36
8
0
06 Mar 2023
Non-convex sampling for a mixture of locally smooth potentials
Non-convex sampling for a mixture of locally smooth potentials
D. Nguyen
33
0
0
31 Jan 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
35
8
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
32
12
0
20 Nov 2022
A Dynamical System View of Langevin-Based Non-Convex Sampling
A Dynamical System View of Langevin-Based Non-Convex Sampling
Mohammad Reza Karimi
Ya-Ping Hsieh
Andreas Krause
40
4
0
25 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
35
24
0
16 Oct 2022
Fisher information lower bounds for sampling
Fisher information lower bounds for sampling
Sinho Chewi
P. Gerber
Holden Lee
Chen Lu
49
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
28
15
0
19 Sep 2022
Utilising the CLT Structure in Stochastic Gradient based Sampling :
  Improved Analysis and Faster Algorithms
Utilising the CLT Structure in Stochastic Gradient based Sampling : Improved Analysis and Faster Algorithms
Aniket Das
Dheeraj M. Nagaraj
Anant Raj
54
6
0
08 Jun 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
26
19
0
01 Jun 2022
Uniform Generalization Bound on Time and Inverse Temperature for
  Gradient Descent Algorithm and its Application to Analysis of Simulated
  Annealing
Uniform Generalization Bound on Time and Inverse Temperature for Gradient Descent Algorithm and its Application to Analysis of Simulated Annealing
Keisuke Suzuki
AI4CE
30
0
0
25 May 2022
Weak Convergence of Approximate reflection coupling and its Application
  to Non-convex Optimization
Weak Convergence of Approximate reflection coupling and its Application to Non-convex Optimization
Keisuke Suzuki
22
5
0
24 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
40
60
0
10 Feb 2022
Heavy-tailed denoising score matching
Heavy-tailed denoising score matching
J. Deasy
Nikola Simidjievski
Pietro Lio'
DiffM
31
14
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
38
1
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 Ma
Tong Zhang
37
16
0
05 Oct 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
35
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
22
17
0
06 May 2021
Random Coordinate Underdamped Langevin Monte Carlo
Random Coordinate Underdamped Langevin Monte Carlo
Zhiyan Ding
Qin Li
Jianfeng Lu
Stephen J. Wright
BDL
21
13
0
22 Oct 2020
Unnormalized Variational Bayes
Unnormalized Variational Bayes
Saeed Saremi
BDL
81
1
0
29 Jul 2020
Convergence of Langevin Monte Carlo in Chi-Squared and Renyi Divergence
Convergence of Langevin Monte Carlo in Chi-Squared and Renyi Divergence
Murat A. Erdogdu
Rasa Hosseinzadeh
Matthew Shunshi Zhang
86
41
0
22 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
15
25
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
35
50
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
6
74
0
27 May 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
43
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
19
65
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
23
6
0
26 Jan 2020
Stochastic Gradient Hamiltonian Monte Carlo for Non-Convex Learning
Stochastic Gradient Hamiltonian Monte Carlo for Non-Convex Learning
Huy N. Chau
M. Rásonyi
25
10
0
25 Mar 2019
Stochastic Particle-Optimization Sampling and the Non-Asymptotic
  Convergence Theory
Stochastic Particle-Optimization Sampling and the Non-Asymptotic Convergence Theory
Jianyi Zhang
Ruiyi Zhang
Lawrence Carin
Changyou Chen
12
46
0
05 Sep 2018
On sampling from a log-concave density using kinetic Langevin diffusions
On sampling from a log-concave density using kinetic Langevin diffusions
A. Dalalyan
L. Riou-Durand
24
155
0
24 Jul 2018
Coupling and Convergence for Hamiltonian Monte Carlo
Coupling and Convergence for Hamiltonian Monte Carlo
Nawaf Bou-Rabee
A. Eberle
Raphael Zimmer
77
136
0
01 May 2018
Dimensionally Tight Bounds for Second-Order Hamiltonian Monte Carlo
Dimensionally Tight Bounds for Second-Order Hamiltonian Monte Carlo
Oren Mangoubi
Nisheeth K. Vishnoi
27
53
0
24 Feb 2018
A Differential Equation for Modeling Nesterov's Accelerated Gradient
  Method: Theory and Insights
A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
Weijie Su
Stephen P. Boyd
Emmanuel J. Candes
105
1,152
0
04 Mar 2015
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