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The reversible jump Markov chain Monte Carlo (RJMCMC) method offers an across-model simulation approach for Bayesian estimation and model comparison, by exploring the sampling space that consists of several models of possibly varying…

Methodology · Statistics 2018-10-16 Lampros Bouranis , Nial Friel , Florian Maire

Generalized linear mixed models (GLMM) are used for inference and prediction in a wide range of different applications providing a powerful scientific tool. An increasing number of sources of data are becoming available, introducing a…

Computation · Statistics 2019-03-19 Aliaksandr Hubin , Geir Storvik

Reversible jump Markov chain Monte Carlo (RJMCMC) extends ordinary MCMC methods for use in Bayesian multimodel inference. We show that RJMCMC can be implemented as Gibbs sampling with alternating updates of a model indicator and a…

Computation · Statistics 2011-05-27 Richard J. Barker , William A. Link

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…

Computation · Statistics 2007-11-02 Ajay Jasra , David A. Stephens , Chris C. Holmes

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…

Machine Learning · Computer Science 2012-05-14 Matthias Hoffman , Hendrik Kueck , Nando de Freitas , Arnaud Doucet

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…

Computation · Statistics 2023-02-28 Laurence Davies , Robert Salomone , Matthew Sutton , Christopher Drovandi

The Markov Chain Monte Carlo (MCMC) algorithm is a widely recognised as an efficient method for sampling a specified posterior distribution. However, when the posterior is multi-modal, conventional MCMC algorithms either tend to become…

Instrumentation and Methods for Astrophysics · Physics 2014-08-19 Yi-Ming Hu , Martin Hendry , Ik Siong Heng

We propose new Markov Chain Monte Carlo algorithms to sample probability distributions on submanifolds, which generalize previous methods by allowing the use of set-valued maps in the proposal step of the MCMC algorithms. The motivation for…

Numerical Analysis · Mathematics 2021-10-07 Tony Lelièvre , Gabriel Stoltz , Wei Zhang

We propose a novel reversible jump Markov chain Monte Carlo (MCMC) simulated annealing algorithm to optimize radial basis function (RBF) networks. This algorithm enables us to maximize the joint posterior distribution of the network…

Machine Learning · Computer Science 2013-01-18 Christophe Andrieu , Nando de Freitas , Arnaud Doucet

A new class of Markov chain Monte Carlo (MCMC) algorithms, based on simulating piecewise deterministic Markov processes (PDMPs), have recently shown great promise: they are non-reversible, can mix better than standard MCMC algorithms, and…

Computation · Statistics 2020-10-23 Augustin Chevallier , Paul Fearnhead , Matthew Sutton

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…

Graphics · Computer Science 2025-10-14 Sascha Holl , Gurprit Singh , Hans-Peter Seidel

Selection among alternative theoretical models given an observed data set is an important challenge in many areas of physics and astronomy. Reversible-jump Markov chain Monte Carlo (RJMCMC) is an extremely powerful technique for performing…

Instrumentation and Methods for Astrophysics · Physics 2015-06-25 Will M. Farr , Ilya Mandel , Daniel Stevens

We study Markov Chain Monte Carlo (MCMC) methods operating in primary sample space and their interactions with multiple sampling techniques. We observe that incorporating the sampling technique into the state of the Markov Chain, as done in…

Graphics · Computer Science 2017-04-25 Benedikt Bitterli , Wenzel Jakob , Jan Novák , Wojciech Jarosz

Bayesian variable selection requires sampling from a posterior distribution that combines discrete model indicators with continuously varying parameters, a challenge often addressed through reversible jump Markov chain Monte Carlo (RJMCMC).…

Methodology · Statistics 2026-05-01 Don van den Bergh , Merlise A. Clyde , Adrian E. Raftery , Maarten Marsman

Reversible jump Markov chain Monte Carlo (RJMCMC) is a Bayesian model estimation method which has been used for trans-dimensional sampling. In this study, we propose utilization of RJMCMC beyond trans-dimensional sampling. This new…

Signal Processing · Electrical Eng. & Systems 2020-05-06 Oktay Karakuş , Ercan E. Kuruoğlu , Mustafa A. Altınkaya

The Reversible Jump algorithm is one of the most widely used Markov chain Monte Carlo algorithms for Bayesian estimation and model selection. A generalized multiple-try version of this algorithm is proposed. The algorithm is based on…

Methodology · Statistics 2013-10-14 S. Pandolfi , F. Bartolucci , N. Friel

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…

Computation · Statistics 2017-06-08 Frank van der Meulen , Moritz Schauer , Harry van Zanten

This article considers Bayesian model inference on binary model spaces. Binary model spaces are used by a large class of models, including graphical models, variable selection, mixture distributions, and decision trees. Traditional…

Methodology · Statistics 2026-04-03 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , Sinan Yildirim , Ilker Birbil

We propose prior distributions for all parts of the specification of a Markov mesh model. In the formulation we define priors for the sequential neighborhood, for the parametric form of the conditional distributions and for the parameter…

Methodology · Statistics 2017-07-27 Håkon Tjelmeland , Xin Luo

The generalized linear mixed model (GLMM) is widely used for analyzing correlated data, particularly in large-scale biomedical and social science applications. Scalable Bayesian inference for GLMMs is challenging because the marginal…

Computation · Statistics 2026-01-07 Samuel I. Berchuck , Youngsoo Baek , Felipe A. Medeiros , Andrea Agazzi
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