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Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

统计计算 · 统计学 2008-07-22 Ioana A. Cosma , Masoud Asgharian

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

机器学习 · 计算机科学 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

A novel adaptive Markov chain Monte Carlo algorithm is presented. The algorithm utilizes sparsity in the partial correlation structure of a density to efficiently estimate the covariance matrix through the Cholesky factor of the precision…

统计计算 · 统计学 2016-02-09 Jonas Wallin , David Bolin

Markov chain Monte Carlo (MCMC) algorithms have become powerful tools for Bayesian inference. However, they do not scale well to large-data problems. Divide-and-conquer strategies, which split the data into batches and, for each batch, run…

统计计算 · 统计学 2017-07-18 Christopher Nemeth , Chris Sherlock

The main focus of the analysts who deal with clustered data is usually not on the clustering variables, and hence the group-specific parameters are treated as nuisance. If a fixed effects formulation is preferred and the total number of…

统计方法学 · 统计学 2019-01-01 Claudia Di Caterina , Giuliana Cortese , Nicola Sartori

Markov chain Monte Carlo methods are a powerful tool for sampling equilibrium configurations in complex systems. One problem these methods often face is slow convergence over large energy barriers. In this work, we propose a novel method…

计算物理 · 物理学 2024-05-29 Luigi Sbailò , Manuel Dibak , Frank Noé

A new unbiased Monte Carlo technique called Tensor Network Monte Carlo (TNMC) is introduced based on sampling all possible renormalizations (or course-grainings) of tensor networks, in this case matrix-product states. Tensor networks are a…

统计力学 · 物理学 2015-07-06 Andrew J. Ferris

Markov Chain Monte Carlo (MCMC) techniques are now widely used for cosmological parameter estimation. Chains are generated to sample the posterior probability distribution obtained following the Bayesian approach. An important issue is how…

天体物理学 · 物理学 2009-11-10 Joanna Dunkley , Martin Bucher , Pedro G. Ferreira , Kavilan Moodley , Constantinos Skordis

In this paper we consider fully Bayesian inference in general state space models. Existing particle Markov chain Monte Carlo (MCMC) algorithms use an augmented model that takes into account all the variable sampled in a sequential Monte…

统计方法学 · 统计学 2014-07-31 Christopher K. Carter , Eduardo F. Mendes , Robert Kohn

In many applications of Bayesian clustering, posterior sampling on the discrete state space of cluster allocations is achieved via Markov chain Monte Carlo (MCMC) techniques. As it is typically challenging to design transition kernels to…

统计计算 · 统计学 2019-06-14 Masoud Asgharian , Martin Lysy , Vahid Partovi Nia

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

统计计算 · 统计学 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

Monte Carlo methods -- such as Markov chain Monte Carlo (MCMC) and piecewise deterministic Markov process (PDMP) samplers -- provide asymptotically exact estimators of expectations under a target distribution. There is growing interest in…

统计计算 · 统计学 2024-09-09 Adrien Corenflos , Matthew Sutton , Nicolas Chopin

The potential effects of conservation actions on threatened species can be predicted using ensemble ecosystem models by forecasting populations with and without intervention. These model ensembles commonly assume stable coexistence of…

种群与进化 · 定量生物学 2024-03-22 Sarah A. Vollert , Christopher Drovandi , Matthew P. Adams

Markov Chain Monte Carlo (MCMC) methods sample from unnormalized probability distributions and offer guarantees of exact sampling. However, in the continuous case, unfavorable geometry of the target distribution can greatly limit the…

机器学习 · 统计学 2020-10-09 Zengyi Li , Yubei Chen , Friedrich T. Sommer

We present a new framework to derandomise certain Markov chain Monte Carlo (MCMC) algorithms. As in MCMC, we first reduce counting problems to sampling from a sequence of marginal distributions. For the latter task, we introduce a method…

数据结构与算法 · 计算机科学 2023-04-05 Weiming Feng , Heng Guo , Chunyang Wang , Jiaheng Wang , Yitong Yin

Competing phases or interactions in complex many-particle systems can result in free energy barriers that strongly suppress thermal equilibration. Here we discuss how extended ensemble Monte Carlo simulations can be used to study the…

统计力学 · 物理学 2007-05-23 S. Trebst , D. A. Huse , E. Gull , H. G. Katzgraber , U. H. E. Hansmann , M. Troyer

Global fits of physics models require efficient methods for exploring high-dimensional and/or multimodal posterior functions. We introduce a novel method for accelerating Markov Chain Monte Carlo (MCMC) sampling by pairing a…

高能物理 - 唯象学 · 物理学 2023-09-06 N. T. Hunt-Smith , W. Melnitchouk , F. Ringer , N. Sato , A. W Thomas , M. J. White

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

Clustering of proteins is of interest in cancer cell biology. This article proposes a hierarchical Bayesian model for protein (variable) clustering hinging on correlation structure. Starting from a multivariate normal likelihood, we enforce…

统计计算 · 统计学 2022-02-09 Riddhi Pratim Ghosh , Arnab Kumar Maity , Mohsen Pourahmadi , Bani K. Mallick

We propose quantum algorithms that provide provable speedups for Markov Chain Monte Carlo (MCMC) methods commonly used for sampling from probability distributions of the form $\pi \propto e^{-f}$, where $f$ is a potential function. Our…

量子物理 · 物理学 2025-04-07 Guneykan Ozgul , Xiantao Li , Mehrdad Mahdavi , Chunhao Wang