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Self-learning Monte Carlo (SLMC) method is a general algorithm to speedup MC simulations. Its efficiency has been demonstrated in various systems by introducing an effective model to propose global moves in the configuration space. In this…

强关联电子 · 物理学 2018-06-06 Huitao Shen , Junwei Liu , Liang Fu

We propose a Markov chain Monte Carlo (MCMC) scheme to perform state inference in non-linear non-Gaussian state-space models. Current state-of-the-art methods to address this problem rely on particle MCMC techniques and its variants, such…

统计计算 · 统计学 2019-05-15 Alexander Y. Shestopaloff , Arnaud Doucet

Markov chain Monte Carlo (MCMC) is a powerful tool for sampling from complex probability distributions. Despite its versatility, MCMC often suffers from strong autocorrelation and the negative sign problem, leading to slowing down the…

统计力学 · 物理学 2024-12-05 Synge Todo

In the context of Bayesian inversion for scientific and engineering modeling, Markov chain Monte Carlo sampling strategies are the benchmark due to their flexibility and robustness in dealing with arbitrary posterior probability density…

统计计算 · 统计学 2021-12-07 Han Lu , Mohammad Khalil , Thomas Catanach , Jiefu Chen , Xuqing Wu , Xin Fu , Cosmin Safta , Yueqin Huang

In sampling tasks, it is common for target distributions to be known up to a normalizing constant. However, in many situations, even evaluating the unnormalized distribution can be costly or infeasible. This issue arises in scenarios such…

统计计算 · 统计学 2025-02-06 Wei Yuan , Guanyang Wang

Adaptive and interacting Markov chain Monte Carlo algorithms (MCMC) have been recently introduced in the literature. These novel simulation algorithms are designed to increase the simulation efficiency to sample complex distributions.…

统计理论 · 数学 2012-03-15 G. Fort , E. Moulines , P. Priouret

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

In this paper, we introduce a reversible version of a genetically modified mode jumping Markov chain Monte Carlo algorithm (GMJMCMC) for inference on posterior model probabilities in complex model spaces, where the number of explanatory…

统计方法学 · 统计学 2021-10-18 Aliaksandr Hubin , Florian Frommlet , Geir Storvik

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

Stochastic gradient MCMC (SGMCMC) offers a scalable alternative to traditional MCMC, by constructing an unbiased estimate of the gradient of the log-posterior with a small, uniformly-weighted subsample of the data. While efficient to…

机器学习 · 统计学 2023-07-11 Srshti Putcha , Christopher Nemeth , Paul Fearnhead

Markov chain Monte Carlo (MCMC) methods are ubiquitous tools for simulation-based inference in many fields but designing and identifying good MCMC samplers is still an open question. This paper introduces a novel MCMC algorithm, namely,…

In this paper we present an extension of population-based Markov chain Monte Carlo (MCMC) to the trans-dimensional case. One of the main challenges in MCMC-based inference is that of simulating from high and trans-dimensional target…

统计计算 · 统计学 2007-11-02 Ajay Jasra , David A. Stephens , Chris C. Holmes

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

The edge partition model (EPM) is a generative model for extracting an overlapping community structure from static graph-structured data. In the EPM, the gamma process (GaP) prior is adopted to infer the appropriate number of latent…

社会与信息网络 · 计算机科学 2024-03-04 Sikun Yang , Heinz Koeppl

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 article we propose a novel MCMC method based on deterministic transformations T: X x D --> X where X is the state-space and D is some set which may or may not be a subset of X. We refer to our new methodology as Transformation-based…

统计计算 · 统计学 2013-10-21 Somak Dutta , Sourabh Bhattacharya

Markov chain Monte Carlo (MCMC) methods are frequently used to approximately simulate high-dimensional, multimodal probability distributions. In adaptive MCMC methods, the transition kernel is changed "on the fly" in the hope to speed up…

概率论 · 数学 2014-06-04 Winfried Barta

The problem of optimising functions with intractable gradients frequently arise in machine learning and statistics, ranging from maximum marginal likelihood estimation procedures to fine-tuning of generative models. Stochastic approximation…

机器学习 · 统计学 2026-01-30 James Cuin , Davide Carbone , Yanbo Tang , O. Deniz Akyildiz

Machine learning and deep learning have revolutionized computational physics, particularly the simulation of complex systems. Equivariance is essential for simulating physical systems because it imposes a strong inductive bias on the…

强关联电子 · 物理学 2024-11-13 Yuki Nagai , Akio Tomiya

Markov chain Monte Carlo (MCMC) methods are widely used in machine learning. One of the major problems with MCMC is the question of how to design chains that mix fast over the whole state space; in particular, how to select the parameters…

机器学习 · 计算机科学 2019-07-16 Kiarash Shaloudegi , András György