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We examine the behaviour of the pseudo-marginal random walk Metropolis algorithm, where evaluations of the target density for the accept/reject probability are estimated rather than computed precisely. Under relatively general conditions on…

Computation · Statistics 2014-12-31 Chris Sherlock , Alexandre H. Thiery , Gareth O. Roberts , Jeffrey S. Rosenthal

Gradient-based Markov Chain Monte Carlo methods have recently received much attention for sampling discrete distributions, with interesting connections to their continuous counterparts. For examples, there are two discrete analogues to the…

Methodology · Statistics 2025-07-15 Yuze Zhou , Zhiqiang Tan

In this paper, we address the challenge of Markov Chain Monte Carlo (MCMC) algorithms within the approximate Bayesian Computation (ABC) framework, which often get trapped in local optima due to their inherent local exploration mechanism. We…

Computation · Statistics 2025-12-16 Xuefei Cao , Shijia Wang , Yongdao Zhou

Sampling-based planning is the predominant paradigm for motion planning in robotics. Most sampling-based planners use a global random sampling scheme to guarantee probabilistic completeness. However, most schemes are often inefficient as…

Robotics · Computer Science 2020-01-22 Tin Lai , Philippe Morere , Fabio Ramos , Gilad Francis

The independence sampler is one of the most commonly used MCMC algorithms usually as a component of a Metropolis-within-Gibbs algorithm. The common focus for the independence sampler is on the choice of proposal distribution to obtain an as…

Computation · Statistics 2016-10-04 Peter Neal , Clement Lee

Inferring how an epidemic will progress and what actions to take when presented with limited information is of critical importance for epidemiologists and health professionals. In real world settings, epidemiology data can be scarce or…

Computation · Statistics 2022-11-02 Georgios Efstathiadis

This work is driven by the ubiquitous dissent over the abilities and contributions of the Metropolis-Hastings and reversible jump algorithm within the context of trans dimensional sampling. We demystify this topic by taking a deeper look…

Statistics Theory · Mathematics 2019-08-05 Tobias Siems , Lisa Koeppel

We present several implementations of the Metropolis method, an adaptive Monte Carlo algorithm, which allow for the calculation of multi-dimensional integrals over arbitrary on-shell four-momentum phase space. The Metropolis technique…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hamid Kharraziha , Stefano Moretti

In this paper, we aim to compute numerical approximation integral by using an adaptive Monte Carlo algorithm. We propose a stratified sampling algorithm based on an iterative method which splits the strata following some quantities called…

Numerical Analysis · Mathematics 2015-07-22 Toni Sayah

Sampling from the lattice Gaussian distribution is emerging as an important problem in coding and cryptography. In this paper, the classic Metropolis-Hastings (MH) algorithm from Markov chain Monte Carlo (MCMC) methods is adapted for…

Information Theory · Computer Science 2020-10-23 Zheng Wang , Cong Ling

We present an importance sampling algorithm that can produce realisations of Markovian epidemic models that exactly match observations, taken to be the number of a single event type over a period of time. The importance sampling can be used…

Populations and Evolution · Quantitative Biology 2018-08-16 Andrew J. Black

A simple and efficient adaptive Markov Chain Monte Carlo (MCMC) method, called the Metropolized Adaptive Subspace (MAdaSub) algorithm, is proposed for sampling from high-dimensional posterior model distributions in Bayesian variable…

Methodology · Statistics 2023-01-04 Christian Staerk , Maria Kateri , Ioannis Ntzoufras

Algorithms for exact and approximate inference in stochastic logic programs (SLPs) are presented, based respectively, on variable elimination and importance sampling. We then show how SLPs can be used to represent prior distributions for…

Artificial Intelligence · Computer Science 2013-01-18 James Cussens

Monte Carlo approaches have recently been proposed to quantify connectivity in neuronal networks. The key problem is to sample from the conditional distribution of a single neuronal spike train, given the activity of the other neurons in…

Applications · Statistics 2011-12-01 Yuriy Mishchenko , Liam Paninski

Our article is concerned with adaptive sampling schemes for Bayesian inference that update the proposal densities using previous iterates. We introduce a copula based proposal density which is made more efficient by combining it with…

Methodology · Statistics 2010-02-26 Ralph Silva , Robert Kohn , Paolo Giordani , Xiuyan Mun

Estimation in the deformable template model is a big challenge in image analysis. The issue is to estimate an atlas of a population. This atlas contains a template and the corresponding geometrical variability of the observed shapes. The…

Statistics Theory · Mathematics 2013-09-09 Stéphanie Allassonniere , Estelle Kuhn

The pseudo-marginal algorithm is a variant of the Metropolis--Hastings algorithm which samples asymptotically from a probability distribution when it is only possible to estimate unbiasedly an unnormalized version of its density.…

Computation · Statistics 2019-12-04 Sebastian M. Schmon , George Deligiannidis , Arnaud Doucet , Michael K. Pitt

We introduce new Gaussian proposals to improve the efficiency of the standard Hastings-Metropolis algorithm in Markov chain Monte Carlo (MCMC) methods, used for the sampling from a target distribution in large dimension $d$. The improved…

Numerical Analysis · Mathematics 2016-11-28 Alain Durmus , Gareth O. Roberts , Gilles Vilmart , Konstantinos C. Zygalakis

We study distributed optimization algorithms for minimizing the average of \emph{heterogeneous} functions distributed across several machines with a focus on communication efficiency. In such settings, naively using the classical stochastic…

Machine Learning · Computer Science 2020-11-18 Ilqar Ramazanli , Han Nguyen , Hai Pham , Sashank J. Reddi , Barnabas Poczos

A recurrent task in coordinated systems is managing (estimating, predicting, or controlling) signals that vary in space, such as distributed sensed data or computation outcomes. Especially in large-scale settings, the problem can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-14 Roberto Casadei , Stefano Mariani , Danilo Pianini , Mirko Viroli , Franco Zambonelli