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We present a new Markov chain Monte Carlo method for estimating posterior probabilities of structural features in Bayesian networks. The method draws samples from the posterior distribution of partial orders on the nodes; for each sampled…

机器学习 · 计算机科学 2012-02-20 Teppo Niinimaki , Pekka Parviainen , Mikko Koivisto

Markov chain Monte Carlo (MCMC) is the predominant tool used in Bayesian parameter estimation for hierarchical models. When the model expands due to an increasing number of hierarchical levels, number of groups at a particular level, or…

统计计算 · 统计学 2016-06-22 Will Landau , Jarad Niemi

The Markov Chain Monte Carlo (MCMC) methods are popular when considering sampling from a high-dimensional random variable $\mathbf{x}$ with possibly unnormalised probability density $p$ and observed data $\mathbf{d}$. However, MCMC requires…

统计计算 · 统计学 2020-03-11 Haoyun Ying , Keheng Mao , Klaus Mosegaard

We introduce a framework for efficient Markov Chain Monte Carlo (MCMC) algorithms targeting discrete-valued high-dimensional distributions, such as posterior distributions in Bayesian variable selection (BVS) problems. We show that many…

统计计算 · 统计学 2021-10-28 Xitong Liang , Samuel Livingstone , Jim Griffin

In geostatistics, Gaussian random fields are often used to model heterogeneities of soil or subsurface parameters. To give spatial approximations of these random fields, they are discretized. Then, different techniques of geostatistical…

统计计算 · 统计学 2021-03-25 Sebastian Reuschen , Fabian Jobst , Wolfgang Nowak

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

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

机器学习 · 计算机科学 2015-02-25 Jacob Steinhardt , Percy Liang

Bayesian regression remains a simple but effective tool based on Bayesian inference techniques. For large-scale applications, with complicated posterior distributions, Markov Chain Monte Carlo methods are applied. To improve the well-known…

统计计算 · 统计学 2020-09-28 Joris Tavernier , Jaak Simm , Adam Arany , Karl Meerbergen , Yves Moreau

Mixture models provide a flexible representation of heterogeneity in a finite number of latent classes. From the Bayesian point of view, Markov Chain Monte Carlo methods provide a way to draw inferences from these models. In particular,…

统计方法学 · 统计学 2020-05-06 Carolina Valani Cavalcante , Kelly Cristina Mota Gonçalves

Evaluation of HIV large scale interventions programme is becoming increasingly important, but impact estimates frequently hinge on knowledge of changes in behaviour such as the frequency of condom use (CU) over time, or other self-reported…

Approximate Bayesian computation (ABC) is a well-established family of Monte Carlo methods for performing approximate Bayesian inference in the case where an ``implicit'' model is used for the data: when the data model can be simulated, but…

统计计算 · 统计学 2022-11-07 Ivis Kerama , Thomas Thorne , Richard G. Everitt

Markov chain Monte Carlo (MCMC) algorithms are simple and extremely powerful techniques to sample from almost arbitrary distributions. The flaw in practice is that it can take a large and/or unknown amount of time to converge to the…

机器学习 · 计算机科学 2014-11-13 Xianghang Liu , Justin Domke

Accept-reject based Markov chain Monte Carlo (MCMC) methods are the workhorse algorithm for Bayesian inference. These algorithms, like Metropolis-Hastings, require choosing a proposal distribution which is typically informed by the desired…

统计计算 · 统计学 2026-04-21 Dwija Kakkad , Dootika Vats

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

The configuration model is a standard tool for uniformly generating random graphs with a specified degree sequence, and is often used as a null model to evaluate how much of an observed network's structure can be explained by its degree…

社会与信息网络 · 计算机科学 2023-05-31 Upasana Dutta , Bailey K. Fosdick , Aaron Clauset

We present a novel algorithm that is based on a Bayesian Markov Chain Monte Carlo (MCMC) technique for performing robust profile analysis of a data cube from either single-dish or interferometric radio telescopes. It fits a set of models…

星系天体物理 · 物理学 2019-05-22 Se-Heon Oh , Lister Staveley-Smith , Bi-Qing For

This paper presents a Markov chain Monte Carlo method to generate approximate posterior samples in retrospective multiple changepoint problems where the number of changes is not known in advance. The method uses conjugate models whereby the…

统计计算 · 统计学 2010-11-15 Jason Wyse , Nial Friel

We propose to integrate weapon system features (such as weapon system manufacturer, deployment time and location, storage time and location, etc.) into a parameterized Cox-Weibull [1] reliability model via a neural network, like DeepSurv…

应用统计 · 统计学 2023-04-17 Michael Potter , Benny Cheng

Federated learning performed by a decentralized networks of agents is becoming increasingly important with the prevalence of embedded software on autonomous devices. Bayesian approaches to learning benefit from offering more information as…

机器学习 · 计算机科学 2021-07-16 Vyacheslav Kungurtsev , Adam Cobb , Tara Javidi , Brian Jalaian

Due to the escalating growth of big data sets in recent years, new Bayesian Markov chain Monte Carlo (MCMC) parallel computing methods have been developed. These methods partition large data sets by observations into subsets. However, for…

统计方法学 · 统计学 2019-01-21 Zheng Wei , Erin M. Conlon