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Publication Information
Title Accelerating Markov Chain Monte Carlo sampling with diffusion models
Abstract Global fits of physics models require efficient methods for exploring high-dimensional and/or multimodal posterior functions. We introduce a novel method for accelerating Markov Chain Monte Carlo (MCMC) sampling by pairing a Metropolis-Hastings algorithm with a diffusion model that can draw global samples with the aim of approximating the posterior. We briefly review diffusion models in the context of image synthesis before providing a streamlined diffusion model tailored towards low-dimensional data arrays. We then present our adapted Metropolis-Hastings algorithm which combines local proposals with global proposals taken from a diffusion model that is regularly trained on the samples produced during the MCMC run. Our approach leads to a significant reduction in the number of likelihood evaluations required to obtain an accurate representation of the Bayesian posterior across several analytic functions, as well as for a physical example based on a global fit of parton distribution fun
Author(s) N. Hunt-Smith, Wally Melnitchouk, F. Ringer, N. Sato, A. Thomas, M. J. White
Publication Date March 2024
Document Type Journal Article
Primary Institution University of Adelaide, Adelaide, Australia
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-23-3900 OSTI Number: 2281802
LANL Number: arXiv:2309.01454 Other Number: DOE/OR/23177-7034
Associated with an experiment No
Associated with EIC Yes
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Computer Physics Communication
Refereed Yes
Volume 296
Issue
Page(s) 109059
Attachments/Datasets/DOI Link
Document(s)
1-s2.0-S0010465523004046-main.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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