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Markov chain Monte Carlo (MCMC) algorithms are indispensable when sampling from a complex, high-dimensional distribution by a conventional method is intractable. Even though MCMC is a powerful tool, it is also hard to control and tune in…

图形学 · 计算机科学 2025-10-14 Sascha Holl , Gurprit Singh , Hans-Peter Seidel

Markov chain Monte Carlo algorithms are invaluable tools for exploring stationary properties of physical systems, especially in situations where direct sampling is unfeasible. Common implementations of Monte Carlo algorithms employ…

统计力学 · 物理学 2016-04-27 Marija Vucelja

Many problems in the physical sciences, machine learning, and statistical inference necessitate sampling from a high-dimensional, multi-modal probability distribution. Markov Chain Monte Carlo (MCMC) algorithms, the ubiquitous tool for this…

数据分析、统计与概率 · 物理学 2022-05-12 Marylou Gabrié , Grant M. Rotskoff , Eric Vanden-Eijnden

Irreversible and rejection-free Monte Carlo methods, recently developed in Physics under the name Event-Chain and known in Statistics as Piecewise Deterministic Monte Carlo (PDMC), have proven to produce clear acceleration over standard…

统计计算 · 统计学 2020-04-28 Manon Michel , Alain Durmus , Stéphane Sénécal

Markov chain Monte Carlo methods have become standard tools in statistics to sample from complex probability measures. Many available techniques rely on discrete-time reversible Markov chains whose transition kernels build up over the…

统计方法学 · 统计学 2017-02-21 Alexandre Bouchard-Côté , Sebastian J. Vollmer , Arnaud Doucet

In this paper a method based on a Markov chain Monte Carlo (MCMC) algorithm is proposed to compute the probability of a rare event. The conditional distribution of the underlying process given that the rare event occurs has the probability…

概率论 · 数学 2012-11-12 Thorbjörn Gudmundsson , Henrik Hult

Markov chain Monte Carlo (MCMC) is a sampling-based method for estimating features of probability distributions. MCMC methods produce a serially correlated, yet representative, sample from the desired distribution. As such it can be…

统计计算 · 统计学 2019-12-10 Dootika Vats , Nathan Robertson , James M Flegal , Galin L Jones

Reversible jump Markov chain Monte Carlo (RJMCMC) proposals that achieve reasonable acceptance rates and mixing are notoriously difficult to design in most applications. Inspired by recent advances in deep neural network-based normalizing…

统计计算 · 统计学 2023-02-28 Laurence Davies , Robert Salomone , Matthew Sutton , Christopher Drovandi

Evaluating the degree of partisan districting (Gerrymandering) in a statistical framework typically requires an ensemble of districting plans which are drawn from a prescribed probability distribution that adheres to a realistic and…

统计计算 · 统计学 2020-08-19 Gregory Herschlag , Jonathan C. Mattingly , Matthias Sachs , Evan Wyse

A novel class of non-reversible Markov chain Monte Carlo schemes relying on continuous-time piecewise-deterministic Markov Processes has recently emerged. In these algorithms, the state of the Markov process evolves according to a…

统计方法学 · 统计学 2018-05-16 Paul Vanetti , Alexandre Bouchard-Côté , George Deligiannidis , Arnaud Doucet

Markov chain Monte Carlo (MCMC) methods have existed for a long time and the field is well-explored. The purpose of MCMC methods is to approximate a distribution through repeated sampling; most MCMC algorithms exhibit asymptotically optimal…

统计计算 · 统计学 2023-07-13 Fareed Sheriff

In the context of nonparametric Bayesian estimation a Markov chain Monte Carlo algorithm is devised and implemented to sample from the posterior distribution of the drift function of a continuously or discretely observed one-dimensional…

统计计算 · 统计学 2017-06-08 Frank van der Meulen , Moritz Schauer , Harry van Zanten

We discuss a non-reversible, lifted Markov-chain Monte Carlo (MCMC) algorithm for particle systems in which the direction of proposed displacements is changed deterministically. This algorithm sweeps through directions analogously to the…

统计力学 · 物理学 2022-08-31 Liang Qin , Philipp Hoellmer , Werner Krauth

An irreversible Markov-chain Monte Carlo (MCMC) algorithm with skew detailed balance conditions originally proposed by Turitsyn et al. is extended to general discrete systems on the basis of the Metropolis-Hastings scheme. To evaluate the…

统计力学 · 物理学 2016-04-21 Yuji Sakai , Koji Hukushima

Markov Chain Monte Carlo (MCMC) methods are algorithms for sampling probability distributions, commonly applied to the Boltzmann distribution in physical and chemical models such as protein folding and the Ising model. These methods enable…

量子物理 · 物理学 2025-12-04 Aingeru Ramos , Jose A. Pascual , Javier Navaridas , Ivan Coluzza

Markov chain Monte Carlo (MCMC) methods are sampling methods that have become a commonly used tool in statistics, for example to perform Monte Carlo integration. As a consequence of the increase in computational power, many variations of…

统计计算 · 统计学 2021-06-14 F. Din-Houn Lau , Sebastian Krumscheid

An efficient simulation-based methodology is proposed for the rolling window estimation of state space models, called particle rolling Markov chain Monte Carlo (MCMC) with double block sampling. In our method, which is based on Sequential…

统计计算 · 统计学 2021-09-17 Naoki Awaya , Yasuhiro Omori

We propose a novel Markov chain Monte-Carlo (MCMC) method for reverse engineering the topological structure of stochastic reaction networks, a notoriously challenging problem that is relevant in many modern areas of research, like…

统计方法学 · 统计学 2018-10-08 Daniel F. Linder , Grzegorz A. Rempala

In this paper we build on previous work which uses inferences techniques, in particular Markov Chain Monte Carlo (MCMC) methods, to solve parameterized control problems. We propose a number of modifications in order to make this approach…

机器学习 · 计算机科学 2012-05-14 Matthias Hoffman , Hendrik Kueck , Nando de Freitas , Arnaud Doucet

Atomistic simulations provide valuable insights into the physical processes governing material behavior. However, their applicability is fundamentally constrained by the limited time scales accessible to brute-force simulations. This…

计算物理 · 物理学 2026-02-16 Michael Kim , Wei Cai
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