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We propose a Monte Carlo algorithm to sample from high dimensional probability distributions that combines Markov chain Monte Carlo and importance sampling. We provide a careful theoretical analysis, including guarantees on robustness to…

统计计算 · 统计学 2019-09-18 Giacomo Zanella , Gareth Roberts

Neuronal ensemble inference is a significant problem in the study of biological neural networks. Various methods have been proposed for ensemble inference from experimental data of neuronal activity. Among them, Bayesian inference approach…

无序系统与神经网络 · 物理学 2021-06-03 Shun Kimura , Keisuke Ota , Koujin Takeda

This study introduces a computationally efficient algorithm, delayed acceptance Markov chain Monte Carlo (DA-MCMC), designed to improve posterior simulation in quasi-Bayesian inference. Quasi-Bayesian methods, which do not require fully…

统计计算 · 统计学 2026-02-16 Masahiro Tanaka

We introduce a novel algorithm of community detection that maintains dynamically a community structure of a large network that evolves with time. The algorithm maximizes the modularity index thanks to the construction of a randomized…

社会与信息网络 · 计算机科学 2016-12-06 Yves Darmaillac , Sébastien Loustau

We present a sequential Monte Carlo sampler algorithm for the Bayesian analysis of generalised linear mixed models (GLMMs). These models support a variety of interesting regression-type analyses, but performing inference is often extremely…

统计计算 · 统计学 2008-10-08 Y. Fan , D. S. Leslie , M. P. Wand

Delayed-acceptance Markov chain Monte Carlo (DA-MCMC) samples from a probability distribution via a two-stages version of the Metropolis-Hastings algorithm, by combining the target distribution with a "surrogate" (i.e. an approximate and…

This paper proposes a novel approach to generate samples from target distributions that are difficult to sample from using Markov Chain Monte Carlo (MCMC) methods. Traditional MCMC algorithms often face slow convergence due to the…

宇宙学与河外天体物理 · 物理学 2023-08-11 Sandro Dias Pinto Vitenti , Eduardo J. Barroso

We develop a novel Markov chain Monte Carlo (MCMC) method that exploits a hierarchy of models of increasing complexity to efficiently generate samples from an unnormalized target distribution. Broadly, the method rewrites the Multilevel…

统计方法学 · 统计学 2022-09-05 Mikkel B. Lykkegaard , Tim J. Dodwell , Colin Fox , Grigorios Mingas , Robert Scheichl

We introduce Preconditioned Monte Carlo (PMC), a novel Monte Carlo method for Bayesian inference that facilitates efficient sampling of probability distributions with non-trivial geometry. PMC utilises a Normalising Flow (NF) in order to…

天体物理仪器与方法 · 物理学 2022-08-24 Minas Karamanis , Florian Beutler , John A. Peacock , David Nabergoj , Uros Seljak

We describe parallel Markov chain Monte Carlo methods that propagate a collective ensemble of paths, with local covariance information calculated from neighboring replicas. The use of collective dynamics eliminates multiplicative noise and…

统计方法学 · 统计学 2016-07-15 Charles Matthews , Jonathan Weare , Benedict Leimkuhler

Markov chain Monte Carlo sampling methods often suffer from long correlation times. Consequently, these methods must be run for many steps to generate an independent sample. In this paper a method is proposed to overcome this difficulty.…

数值分析 · 数学 2009-11-13 Jonathan Weare

The computer revolution has been driven by a sustained increase of computational speed of approximately one order of magnitude (a factor of ten) every five years since about 1950. In natural sciences this has led to a continuous increase of…

统计力学 · 物理学 2007-09-06 Bernd A. Berg

Statistical signal processing applications usually require the estimation of some parameters of interest given a set of observed data. These estimates are typically obtained either by solving a multi-variate optimization problem, as in the…

统计计算 · 统计学 2021-07-27 D. Luengo , L. Martino , M. Bugallo , V. Elvira , S. Särkkä

In cohort studies binary outcomes are very often analyzed by logistic regression. However, it is well-known that when the goal is to estimate a risk ratio, the logistic regression is inappropriate if the outcome is common. In these cases, a…

统计计算 · 统计学 2014-04-02 Diego Salmerón , Juan Antonio Cano

Bayesian profile regression mixture models (BPRM) allow to assess a health risk in a multi-exposed population. These mixture models cluster individuals according to their exposure profile and their health risk. However, their results, based…

统计方法学 · 统计学 2025-12-30 Fendler Julie , Guihenneuc Chantal , Ancelet Sophie

We consider the problem of estimating the probability of a large loss from a financial portfolio, where the future loss is expressed as a conditional expectation. Since the conditional expectation is intractable in most cases, one may…

数值分析 · 数学 2020-11-25 Zhenghang Xu , Zhijian He , Xiaoqun Wang

We formulate both Markov chain Monte Carlo (MCMC) sampling algorithms and basic statistical physics in terms of elementary symmetries. This perspective on sampling yields derivations of well-known MCMC algorithms and a new parallel…

统计力学 · 物理学 2021-06-30 Steve Huntsman

In this paper we address the problem of Monte Carlo approximation of posterior probability distributions in stochastic kinetic models (SKMs). SKMs are multivariate Markov jump processes that model the interactions among species in…

统计方法学 · 统计学 2014-04-22 Eugenia Koblents , Joaquín Míguez

Mixture model-based clustering, usually applied to multidimensional data, has become a popular approach in many data analysis problems, both for its good statistical properties and for the simplicity of implementation of the…

统计方法学 · 统计学 2013-12-30 Allou Samé , Faicel Chamroukhi , Gérard Govaert , Patrice Aknin

Tasks such as record linkage and multi-target tracking, which involve reconstructing the set of objects that underlie some observed data, are particularly challenging for probabilistic inference. Recent work has achieved efficient and…

人工智能 · 计算机科学 2012-07-02 Brian Milch , Stuart Russell
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