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Scalable Monte Carlo for Bayesian Learning

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arxiv 2407.12751 v1 pith:XGX37IVD submitted 2024-07-17 stat.ML cs.LGstat.COstat.ME

classification stat.MLcs.LGstat.COstat.ME
keywords mcmcbayesiancarlodatalearningmontescalabletopics
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This book aims to provide a graduate-level introduction to advanced topics in Markov chain Monte Carlo (MCMC) algorithms, as applied broadly in the Bayesian computational context. Most, if not all of these topics (stochastic gradient MCMC, non-reversible MCMC, continuous time MCMC, and new techniques for convergence assessment) have emerged as recently as the last decade, and have driven substantial recent practical and theoretical advances in the field. A particular focus is on methods that are scalable with respect to either the amount of data, or the data dimension, motivated by the emerging high-priority application areas in machine learning and AI.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deep Learning Surrogates for Real-Time Gas Emission Inversion

    cs.LG 2025-06 conditional novelty 6.0 of 10

    An MLP surrogate of CFD embedded in a particle filter estimates methane source location and emission rate in transient atmospheric flows, with accuracy close to full CFD but at far lower per-evaluation cost.

  2. Diffusion piecewise exponential models for survival extrapolation using Piecewise Deterministic Monte Carlo

    stat.ME 2025-05 conditional novelty 6.0 of 10

    The paper introduces a diffusion-prior piecewise exponential model that combines observed survival data with expert-elicited long-term hazard assumptions, sampled via a new transdimensional PDMP algorithm.

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