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Recent studies on diffusion-based sampling methods have shown that Langevin Monte Carlo (LMC) algorithms can be beneficial for non-convex optimization, and rigorous theoretical guarantees have been proven for both asymptotic and finite-time…

最优化与控制 · 数学 2019-01-23 Thanh Huy Nguyen , Umut Şimşekli , Gaël Richard

A new class of Markov chain Monte Carlo (MCMC) algorithms, based on simulating piecewise deterministic Markov processes (PDMPs), have recently shown great promise: they are non-reversible, can mix better than standard MCMC algorithms, and…

统计计算 · 统计学 2020-10-23 Augustin Chevallier , Paul Fearnhead , Matthew Sutton

Efficient sampling of many-dimensional and multimodal density functions is a task of great interest in many research fields. We describe an algorithm that allows parallelizing inherently serial Markov chain Monte Carlo (MCMC) sampling by…

统计计算 · 统计学 2020-08-10 Vasyl Hafych , Philipp Eller , Oliver Schulz , Allen Caldwell

In this article, we propose a novel and general dimension-hopping MCMC methodology that can update all the parameters as well as the number of parameters simultaneously using simple deterministic transformations of some low-dimensional…

统计计算 · 统计学 2017-03-16 Moumita Das , Sourabh Bhattacharya

The recent introduction of machine learning techniques, especially normalizing flows, for the sampling of lattice gauge theories has shed some hope on improving the sampling efficiency of the traditional HMC algorithm. Naive use of…

高能物理 - 格点 · 物理学 2022-12-06 David Albandea , Luigi Del Debbio , Pilar Hernández , Richard Kenway , Joe Marsh Rossney , Alberto Ramos

Probabilistic models are conceptually powerful tools for finding structure in data, but their practical effectiveness is often limited by our ability to perform inference in them. Exact inference is frequently intractable, so approximate…

统计计算 · 统计学 2014-07-25 Robert Nishihara , Iain Murray , Ryan P. Adams

We propose Subsampling MCMC, a Markov Chain Monte Carlo (MCMC) framework where the likelihood function for $n$ observations is estimated from a random subset of $m$ observations. We introduce a highly efficient unbiased estimator of the…

统计方法学 · 统计学 2018-12-31 Matias Quiroz , Robert Kohn , Mattias Villani , Minh-Ngoc Tran

We propose a generic Markov Chain Monte Carlo (MCMC) algorithm to speed up computations for datasets with many observations. A key feature of our approach is the use of the highly efficient difference estimator from the survey sampling…

统计方法学 · 统计学 2017-08-03 Matias Quiroz , Mattias Villani , Robert Kohn

The FBMS R package facilitates Bayesian model selection and model averaging in complex regression settings by employing a variety of Monte Carlo model exploration methods. At its core, the package implements an efficient Mode Jumping Markov…

统计方法学 · 统计学 2025-09-03 Florian Frommlet , Jon Lachmann , Geir Storvik , Aliaksandr Hubin

Flow-matching models provide a powerful framework for various applications, offering efficient sampling and flexible probability path modeling. These models are characterized by flows with low curvature in learned generative trajectories,…

机器学习 · 计算机科学 2025-01-22 Zibin Wang , Zhiyuan Ouyang , Xiangyun Zhang

This paper introduces a Bayesian framework that combines Markov chain Monte Carlo (MCMC) sampling, dimensionality reduction, and neural density estimation to efficiently handle inverse problems that (i) must be solved multiple times, and…

计算工程、金融与科学 · 计算机科学 2026-02-24 Giacomo Bottacini , Matteo Torzoni , Andrea Manzoni

Many recent Markov chain Monte Carlo (MCMC) samplers leverage continuous dynamics to define a transition kernel that efficiently explores a target distribution. In tandem, a focus has been on devising scalable variants that subsample the…

统计理论 · 数学 2015-11-03 Yi-An Ma , Tianqi Chen , Emily B. Fox

Accurate and fast performance prediction for dataflow-based accelerators is vital for efficient hardware design and design space exploration, yet existing methods struggle to generalize across architectures, applications, and…

硬件体系结构 · 计算机科学 2025-08-26 Kaiyan Chang , Wenlong Zhu , Shengwen Liang , Huawei Li , Ying Wang

Diffusion probabilistic models have generated high quality image synthesis recently. However, one pain point is the notorious inference to gradually obtain clear images with thousands of steps, which is time consuming compared to other…

计算机视觉与模式识别 · 计算机科学 2023-01-04 Gang Chen

This work presents an efficient approach for accelerating multilevel Markov Chain Monte Carlo (MCMC) sampling for large-scale problems using low-fidelity machine learning models. While conventional techniques for large-scale Bayesian…

机器学习 · 统计学 2024-05-21 Sohail Reddy , Hillary Fairbanks

We propose Annealed Langevin Monte Carlo for Flow ODE Sampling (ALMC-ODE), a method for generating samples from unnormalized target distributions, with a particular emphasis on multimodal densities that are challenging for standard Markov…

统计计算 · 统计学 2026-05-01 Hanwen Huang

This work presents mixed variational flows (MixFlows), a new variational family that consists of a mixture of repeated applications of a map to an initial reference distribution. First, we provide efficient algorithms for i.i.d. sampling,…

机器学习 · 统计学 2025-06-03 Zuheng Xu , Naitong Chen , Trevor Campbell

Sampling from unnormalized densities presents a fundamental challenge with wide-ranging applications, from posterior inference to molecular dynamics simulations. Continuous flow-based neural samplers offer a promising approach, learning a…

机器学习 · 计算机科学 2025-07-22 Wuhao Chen , Zijing Ou , Yingzhen Li

Generative models based on dynamical equations such as flows and diffusions offer exceptional sample quality, but require computationally expensive numerical integration during inference. The advent of consistency models has enabled…

机器学习 · 计算机科学 2025-06-04 Nicholas M. Boffi , Michael S. Albergo , Eric Vanden-Eijnden

Parallel Markov Chain Monte Carlo (pMCMC) algorithms generate clouds of proposals at each step to efficiently resolve a target probability distribution. We build a rigorous foundational framework for pMCMC algorithms that situates these…