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Optimal dimension dependence of the Metropolis-Adjusted Langevin
  Algorithm

Optimal dimension dependence of the Metropolis-Adjusted Langevin Algorithm

23 December 2020
Sinho Chewi
Chen Lu
Kwangjun Ahn
Xiang Cheng
Thibaut Le Gouic
Philippe Rigollet
ArXiv (abs)PDFHTML

Papers citing "Optimal dimension dependence of the Metropolis-Adjusted Langevin Algorithm"

50 / 52 papers shown
Title
Mixing Time of the Proximal Sampler in Relative Fisher Information via Strong Data Processing Inequality
Mixing Time of the Proximal Sampler in Relative Fisher Information via Strong Data Processing Inequality
Andre Wibisono
120
1
0
01 Jul 2025
Restricted Spectral Gap Decomposition for Simulated Tempering Targeting Mixture Distributions
Restricted Spectral Gap Decomposition for Simulated Tempering Targeting Mixture Distributions
Jhanvi Garg
Krishna Balasubramanian
Quan Zhou
109
0
0
21 May 2025
Operator-Level Quantum Acceleration of Non-Logconcave Sampling
Operator-Level Quantum Acceleration of Non-Logconcave Sampling
Jiaqi Leng
Zhiyan Ding
Zherui Chen
Lin Lin
97
1
0
08 May 2025
LAPD: Langevin-Assisted Bayesian Active Learning for Physical Discovery
Cindy Xiangrui Kong
Haoyang Zheng
Guang Lin
AI4CE
78
0
0
04 Mar 2025
On the query complexity of sampling from non-log-concave distributions
On the query complexity of sampling from non-log-concave distributions
Yuchen He
Chihao Zhang
112
1
0
10 Feb 2025
Muti-Fidelity Prediction and Uncertainty Quantification with Laplace Neural Operators for Parametric Partial Differential Equations
Muti-Fidelity Prediction and Uncertainty Quantification with Laplace Neural Operators for Parametric Partial Differential Equations
Haoyang Zheng
Guang Lin
AI4CE
84
0
0
01 Feb 2025
Sampling with Adaptive Variance for Multimodal Distributions
Sampling with Adaptive Variance for Multimodal Distributions
Bjorn Engquist
Kui Ren
Yunan Yang
118
1
0
20 Nov 2024
Mixing of the No-U-Turn Sampler and the Geometry of Gaussian
  Concentration
Mixing of the No-U-Turn Sampler and the Geometry of Gaussian Concentration
Nawaf Bou-Rabee
Stefan Oberdörster
53
1
0
09 Oct 2024
Rényi-infinity constrained sampling with $d^3$ membership queries
Rényi-infinity constrained sampling with d3d^3d3 membership queries
Yunbum Kook
Matthew Shunshi Zhang
68
1
0
17 Jul 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
Linear Noise Approximation Assisted Bayesian Inference on Mechanistic
  Model of Partially Observed Stochastic Reaction Network
Linear Noise Approximation Assisted Bayesian Inference on Mechanistic Model of Partially Observed Stochastic Reaction Network
Wandi Xu
Wei Xie
42
0
0
05 May 2024
Dimension-free Relaxation Times of Informed MCMC Samplers on Discrete
  Spaces
Dimension-free Relaxation Times of Informed MCMC Samplers on Discrete Spaces
Hyunwoong Chang
Quan Zhou
77
6
0
05 Apr 2024
Provably Robust Score-Based Diffusion Posterior Sampling for
  Plug-and-Play Image Reconstruction
Provably Robust Score-Based Diffusion Posterior Sampling for Plug-and-Play Image Reconstruction
Xingyu Xu
Yuejie Chi
DiffM
96
27
0
25 Mar 2024
Sampling from the Mean-Field Stationary Distribution
Sampling from the Mean-Field Stationary Distribution
Yunbum Kook
Matthew Shunshi Zhang
Sinho Chewi
Murat A. Erdogdu
Mufan Li
120
7
0
12 Feb 2024
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
Quantifying the effectiveness of linear preconditioning in Markov chain
  Monte Carlo
Quantifying the effectiveness of linear preconditioning in Markov chain Monte Carlo
Max Hird
Samuel Livingstone
65
5
0
08 Dec 2023
Particle Guidance: non-I.I.D. Diverse Sampling with Diffusion Models
Particle Guidance: non-I.I.D. Diverse Sampling with Diffusion Models
Gabriele Corso
Yilun Xu
Valentin De Bortoli
Regina Barzilay
Tommi Jaakkola
DiffM
102
26
0
19 Oct 2023
Learning variational autoencoders via MCMC speed measures
Learning variational autoencoders via MCMC speed measures
Marcel Hirt
Vasileios Kreouzis
P. Dellaportas
BDLDRL
48
2
0
26 Aug 2023
Non-Log-Concave and Nonsmooth Sampling via Langevin Monte Carlo
  Algorithms
Non-Log-Concave and Nonsmooth Sampling via Langevin Monte Carlo Algorithms
Tim Tsz-Kit Lau
Han Liu
Thomas Pock
97
4
0
25 May 2023
When does Metropolized Hamiltonian Monte Carlo provably outperform
  Metropolis-adjusted Langevin algorithm?
When does Metropolized Hamiltonian Monte Carlo provably outperform Metropolis-adjusted Langevin algorithm?
Yuansi Chen
Khashayar Gatmiry
129
16
0
10 Apr 2023
Query lower bounds for log-concave sampling
Query lower bounds for log-concave sampling
Sinho Chewi
Jaume de Dios Pont
Jerry Li
Chen Lu
Shyam Narayanan
95
8
0
05 Apr 2023
Inferring networks from time series: a neural approach
Inferring networks from time series: a neural approach
Thomas Gaskin
G. Pavliotis
Mark Girolami
AI4TS
79
7
0
30 Mar 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
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
84
9
0
06 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
Faster high-accuracy log-concave sampling via algorithmic warm starts
Faster high-accuracy log-concave sampling via algorithmic warm starts
Jason M. Altschuler
Sinho Chewi
109
36
0
20 Feb 2023
Improved dimension dependence of a proximal algorithm for sampling
Improved dimension dependence of a proximal algorithm for sampling
JiaoJiao Fan
Bo Yuan
Yongxin Chen
81
25
0
20 Feb 2023
Algorithmic Aspects of the Log-Laplace Transform and a Non-Euclidean
  Proximal Sampler
Algorithmic Aspects of the Log-Laplace Transform and a Non-Euclidean Proximal Sampler
Sivakanth Gopi
Y. Lee
Daogao Liu
Ruoqi Shen
Kevin Tian
93
7
0
13 Feb 2023
On Sampling with Approximate Transport Maps
On Sampling with Approximate Transport Maps
Louis Grenioux
Alain Durmus
Eric Moulines
Marylou Gabrié
OT
65
17
0
09 Feb 2023
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
96
25
0
16 Oct 2022
Condition-number-independent convergence rate of Riemannian Hamiltonian
  Monte Carlo with numerical integrators
Condition-number-independent convergence rate of Riemannian Hamiltonian Monte Carlo with numerical integrators
Yunbum Kook
Y. Lee
Ruoqi Shen
Santosh Vempala
88
12
0
13 Oct 2022
Quantum Algorithms for Sampling Log-Concave Distributions and Estimating
  Normalizing Constants
Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants
Andrew M. Childs
Tongyang Li
Jin-Peng Liu
Cong Wang
Ruizhe Zhang
64
17
0
12 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
Hamiltonian Monte Carlo for efficient Gaussian sampling: long and random
  steps
Hamiltonian Monte Carlo for efficient Gaussian sampling: long and random steps
Simon Apers
S. Gribling
Dániel Szilágyi
86
10
0
26 Sep 2022
Sampling is as easy as learning the score: theory for diffusion models
  with minimal data assumptions
Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions
Sitan Chen
Sinho Chewi
Jungshian Li
Yuanzhi Li
Adil Salim
Anru R. Zhang
DiffM
227
278
0
22 Sep 2022
On free energy barriers in Gaussian priors and failure of cold start
  MCMC for high-dimensional unimodal distributions
On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions
Afonso S. Bandeira
Antoine Maillard
Richard Nickl
Sven Wang
67
10
0
05 Sep 2022
Gradient-based data and parameter dimension reduction for Bayesian
  models: an information theoretic perspective
Gradient-based data and parameter dimension reduction for Bayesian models: an information theoretic perspective
Ricardo Baptista
Youssef Marzouk
O. Zahm
56
14
0
18 Jul 2022
On the Computational Complexity of Metropolis-Adjusted Langevin
  Algorithms for Bayesian Posterior Sampling
On the Computational Complexity of Metropolis-Adjusted Langevin Algorithms for Bayesian Posterior Sampling
Rong Tang
Yun Yang
51
5
0
13 Jun 2022
Metropolis Adjusted Langevin Trajectories: a robust alternative to
  Hamiltonian Monte Carlo
Metropolis Adjusted Langevin Trajectories: a robust alternative to Hamiltonian Monte Carlo
L. Riou-Durand
Jure Vogrinc
90
15
0
26 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
On the geometric convergence for MALA under verifiable conditions
On the geometric convergence for MALA under verifiable conditions
Alain Durmus
Eric Moulines
63
12
0
06 Jan 2022
On Mixing Times of Metropolized Algorithm With Optimization Step (MAO) :
  A New Framework
On Mixing Times of Metropolized Algorithm With Optimization Step (MAO) : A New Framework
EL Mahdi Khribch
George Deligiannidis
Daniel Paulin
25
0
0
01 Dec 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
88
29
0
08 Sep 2021
Convergence of position-dependent MALA with application to conditional
  simulation in GLMMs
Convergence of position-dependent MALA with application to conditional simulation in GLMMs
Vivekananda Roy
Lijin Zhang
56
8
0
28 Aug 2021
Asymptotic bias of inexact Markov Chain Monte Carlo methods in high
  dimension
Asymptotic bias of inexact Markov Chain Monte Carlo methods in high dimension
Alain Durmus
A. Eberle
81
20
0
02 Aug 2021
Lower Bounds on Metropolized Sampling Methods for Well-Conditioned
  Distributions
Lower Bounds on Metropolized Sampling Methods for Well-Conditioned Distributions
Y. Lee
Ruoqi Shen
Kevin Tian
54
20
0
10 Jun 2021
The query complexity of sampling from strongly log-concave distributions
  in one dimension
The query complexity of sampling from strongly log-concave distributions in one dimension
Sinho Chewi
P. Gerber
Chen Lu
Thibaut Le Gouic
Philippe Rigollet
87
21
0
29 May 2021
Mixing Time Guarantees for Unadjusted Hamiltonian Monte Carlo
Mixing Time Guarantees for Unadjusted Hamiltonian Monte Carlo
Nawaf Bou-Rabee
A. Eberle
110
31
0
03 May 2021
Efficient constrained sampling via the mirror-Langevin algorithm
Efficient constrained sampling via the mirror-Langevin algorithm
Kwangjun Ahn
Sinho Chewi
111
57
0
30 Oct 2020
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