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Stochastic Runge-Kutta Accelerates Langevin Monte Carlo and Beyond
v1v2v3 (latest)

Stochastic Runge-Kutta Accelerates Langevin Monte Carlo and Beyond

19 June 2019
Xuechen Li
Denny Wu
Lester W. Mackey
Murat A. Erdogdu
ArXiv (abs)PDFHTML

Papers citing "Stochastic Runge-Kutta Accelerates Langevin Monte Carlo and Beyond"

47 / 47 papers shown
Title
Mirror Mean-Field Langevin Dynamics
Mirror Mean-Field Langevin Dynamics
Anming Gu
Juno Kim
68
1
0
05 May 2025
The Poisson Midpoint Method for Langevin Dynamics: Provably Efficient
  Discretization for Diffusion Models
The Poisson Midpoint Method for Langevin Dynamics: Provably Efficient Discretization for Diffusion Models
S. Kandasamy
Dheeraj M. Nagaraj
DiffM
71
3
0
27 May 2024
A Separation in Heavy-Tailed Sampling: Gaussian vs. Stable Oracles for
  Proximal Samplers
A Separation in Heavy-Tailed Sampling: Gaussian vs. Stable Oracles for Proximal Samplers
Ye He
Alireza Mousavi-Hosseini
Krishnakumar Balasubramanian
Murat A. Erdogdu
81
2
0
27 May 2024
Constrained Exploration via Reflected Replica Exchange Stochastic
  Gradient Langevin Dynamics
Constrained Exploration via Reflected Replica Exchange Stochastic Gradient Langevin Dynamics
Haoyang Zheng
Hengrong Du
Qi Feng
Wei Deng
Guang Lin
65
5
0
13 May 2024
Single-seed generation of Brownian paths and integrals for adaptive and
  high order SDE solvers
Single-seed generation of Brownian paths and integrals for adaptive and high order SDE solvers
Andravz Jelinvcivc
James Foster
Patrick Kidger
73
2
0
10 May 2024
Mean-field underdamped Langevin dynamics and its spacetime
  discretization
Mean-field underdamped Langevin dynamics and its spacetime discretization
Qiang Fu
Ashia Wilson
67
4
0
26 Dec 2023
Fast sampling from constrained spaces using the Metropolis-adjusted
  Mirror Langevin algorithm
Fast sampling from constrained spaces using the Metropolis-adjusted Mirror Langevin algorithm
Vishwak Srinivasan
Andre Wibisono
Ashia Wilson
70
7
0
14 Dec 2023
Ito Diffusion Approximation of Universal Ito Chains for Sampling,
  Optimization and Boosting
Ito Diffusion Approximation of Universal Ito Chains for Sampling, Optimization and Boosting
Aleksei Ustimenko
Aleksandr Beznosikov
82
1
0
09 Oct 2023
Langevin Quasi-Monte Carlo
Langevin Quasi-Monte Carlo
Sifan Liu
BDL
43
4
0
22 Sep 2023
Generative Modelling of Lévy Area for High Order SDE Simulation
Generative Modelling of Lévy Area for High Order SDE Simulation
Andravz Jelinvcivc
Ji-cheng Tao
William F. Turner
Thomas Cass
James Foster
H. Ni
DiffM
95
3
0
04 Aug 2023
Towards a Complete Analysis of Langevin Monte Carlo: Beyond Poincaré
  Inequality
Towards a Complete Analysis of Langevin Monte Carlo: Beyond Poincaré Inequality
Alireza Mousavi-Hosseini
Tyler Farghly
Ye He
Krishnakumar Balasubramanian
Murat A. Erdogdu
116
27
0
07 Mar 2023
Mean-Square Analysis of Discretized Itô Diffusions for Heavy-tailed
  Sampling
Mean-Square Analysis of Discretized Itô Diffusions for Heavy-tailed Sampling
Ye He
Tyler Farghly
Krishnakumar Balasubramanian
Murat A. Erdogdu
86
4
0
01 Mar 2023
Improved Discretization Analysis for Underdamped Langevin Monte Carlo
Improved Discretization Analysis for Underdamped Langevin Monte Carlo
Matthew Shunshi Zhang
Sinho Chewi
Mufan Li
Krishnakumar Balasubramanian
Murat A. Erdogdu
65
35
0
16 Feb 2023
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
78
4
0
25 Oct 2022
Fisher information lower bounds for sampling
Fisher information lower bounds for sampling
Sinho Chewi
P. Gerber
Holden Lee
Chen Lu
113
15
0
05 Oct 2022
Self-Consistency of the Fokker-Planck Equation
Self-Consistency of the Fokker-Planck Equation
Zebang Shen
Zhenfu Wang
Satyen Kale
Alejandro Ribeiro
Aim Karbasi
Hamed Hassani
83
21
0
02 Jun 2022
Interacting Contour Stochastic Gradient Langevin Dynamics
Interacting Contour Stochastic Gradient Langevin Dynamics
Wei Deng
Siqi Liang
Botao Hao
Guang Lin
F. Liang
BDL
79
10
0
20 Feb 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
105
65
0
10 Feb 2022
Convex Analysis of the Mean Field Langevin Dynamics
Convex Analysis of the Mean Field Langevin Dynamics
Atsushi Nitanda
Denny Wu
Taiji Suzuki
MLT
154
66
0
25 Jan 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
On Convergence of Federated Averaging Langevin Dynamics
On Convergence of Federated Averaging Langevin Dynamics
Wei Deng
Qian Zhang
Yi-An Ma
Zhao Song
Guang Lin
FedML
82
17
0
09 Dec 2021
The Mirror Langevin Algorithm Converges with Vanishing Bias
The Mirror Langevin Algorithm Converges with Vanishing Bias
Ruilin Li
Molei Tao
Santosh Vempala
Andre Wibisono
98
37
0
24 Sep 2021
Sqrt(d) Dimension Dependence of Langevin Monte Carlo
Sqrt(d) Dimension Dependence of Langevin Monte Carlo
Ruilin Li
H. Zha
Molei Tao
88
29
0
08 Sep 2021
Truncated Log-concave Sampling with Reflective Hamiltonian Monte Carlo
Truncated Log-concave Sampling with Reflective Hamiltonian Monte Carlo
Apostolos Chalkis
Vissarion Fisikopoulos
Marios Papachristou
Elias P. Tsigaridas
73
8
0
25 Feb 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
23
1
0
11 Feb 2021
Unadjusted Langevin algorithm for non-convex weakly smooth potentials
Unadjusted Langevin algorithm for non-convex weakly smooth potentials
D. Nguyen
Xin Dang
Yixin Chen
78
14
0
16 Jan 2021
The shifted ODE method for underdamped Langevin MCMC
The shifted ODE method for underdamped Langevin MCMC
James Foster
Terry Lyons
Harald Oberhauser
91
16
0
10 Jan 2021
Particle Dual Averaging: Optimization of Mean Field Neural Networks with
  Global Convergence Rate Analysis
Particle Dual Averaging: Optimization of Mean Field Neural Networks with Global Convergence Rate Analysis
Atsushi Nitanda
Denny Wu
Taiji Suzuki
86
29
0
31 Dec 2020
Complexity of zigzag sampling algorithm for strongly log-concave
  distributions
Complexity of zigzag sampling algorithm for strongly log-concave distributions
Jianfeng Lu
Lihan Wang
60
6
0
21 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
60
35
0
06 Nov 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
A Contour Stochastic Gradient Langevin Dynamics Algorithm for
  Simulations of Multi-modal Distributions
A Contour Stochastic Gradient Langevin Dynamics Algorithm for Simulations of Multi-modal Distributions
Wei Deng
Guang Lin
F. Liang
BDL
76
28
0
19 Oct 2020
Quasi-symplectic Langevin Variational Autoencoder
Quasi-symplectic Langevin Variational Autoencoder
Zihao Wang
H. Delingette
BDLDRL
73
4
0
02 Sep 2020
Non-convex Learning via Replica Exchange Stochastic Gradient MCMC
Non-convex Learning via Replica Exchange Stochastic Gradient MCMC
Wei Deng
Qi Feng
Liyao (Mars) Gao
F. Liang
Guang Lin
BDL
65
47
0
12 Aug 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
146
43
0
22 Jul 2020
Fast Mixing of Multi-Scale Langevin Dynamics under the Manifold
  Hypothesis
Fast Mixing of Multi-Scale Langevin Dynamics under the Manifold Hypothesis
Adam Block
Youssef Mroueh
Alexander Rakhlin
Jerret Ross
80
16
0
19 Jun 2020
Learning Partially Known Stochastic Dynamics with Empirical PAC Bayes
Learning Partially Known Stochastic Dynamics with Empirical PAC Bayes
Manuel Haussmann
S. Gerwinn
Andreas Look
Barbara Rakitsch
M. Kandemir
86
16
0
17 Jun 2020
Hessian-Free High-Resolution Nesterov Acceleration for Sampling
Hessian-Free High-Resolution Nesterov Acceleration for Sampling
Ruilin Li
H. Zha
Molei Tao
60
8
0
16 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
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
Generative Modeling with Denoising Auto-Encoders and Langevin Sampling
Generative Modeling with Denoising Auto-Encoders and Langevin Sampling
Adam Block
Youssef Mroueh
Alexander Rakhlin
DiffM
112
103
0
31 Jan 2020
Estimating Normalizing Constants for Log-Concave Distributions:
  Algorithms and Lower Bounds
Estimating Normalizing Constants for Log-Concave Distributions: Algorithms and Lower Bounds
Rong Ge
Holden Lee
Jianfeng Lu
75
22
0
08 Nov 2019
Proximal Langevin Algorithm: Rapid Convergence Under Isoperimetry
Proximal Langevin Algorithm: Rapid Convergence Under Isoperimetry
Andre Wibisono
140
49
0
04 Nov 2019
Stochastic Gradient and Langevin Processes
Stochastic Gradient and Langevin Processes
Xiang Cheng
Dong Yin
Peter L. Bartlett
Michael I. Jordan
62
5
0
07 Jul 2019
You Only Propagate Once: Accelerating Adversarial Training via Maximal
  Principle
You Only Propagate Once: Accelerating Adversarial Training via Maximal Principle
Dinghuai Zhang
Tianyuan Zhang
Yiping Lu
Zhanxing Zhu
Bin Dong
AAML
128
362
0
02 May 2019
Rapid Convergence of the Unadjusted Langevin Algorithm: Isoperimetry
  Suffices
Rapid Convergence of the Unadjusted Langevin Algorithm: Isoperimetry Suffices
Santosh Vempala
Andre Wibisono
121
269
0
20 Mar 2019
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