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The Markov chain Monte Carlo method (MCMC), especially the Metropolis-Hastings (MH) algorithm, is a widely used technique for sampling from a target probability distribution $P$ on a state space $\Omega$ and applied to various problems such…

Quantum Physics · Physics 2023-03-13 Koichi Miyamoto

Recent research has led to the development of MCMC algorithms with likelihood-informed proposals when targeting posterior distributions supported on discrete state spaces. Our work is placed within this field and puts forward a new MCMC…

Methodology · Statistics 2026-05-22 Luca Aiello , Raffaele Argiento , Alexandros Beskos , Maria De Iorio

Constrained decoding enables Language Models (LMs) to produce samples that provably satisfy hard constraints. However, existing constrained-decoding approaches often distort the underlying model distribution, a limitation that is especially…

Artificial Intelligence · Computer Science 2025-06-09 Emmanuel Anaya Gonzalez , Sairam Vaidya , Kanghee Park , Ruyi Ji , Taylor Berg-Kirkpatrick , Loris D'Antoni

We consider Metropolis Hastings MCMC in cases where the log of the ratio of target distributions is replaced by an estimator. The estimator is based on m samples from an independent online Monte Carlo simulation. Under some conditions on…

Computation · Statistics 2012-06-01 Geoff K. Nicholls , Colin Fox , Alexis Muir Watt

We introduce a Markov Chain Monte Carlo (MCMC) algorithm to generate samples from probability distributions supported on a $d$-dimensional lattice $\Lambda = \mathbf{B}\mathbb{Z}^d$, where $\mathbf{B}$ is a full-rank matrix. Specifically,…

Computation · Statistics 2021-01-27 Anand Jerry George , Navin Kashyap

Modern cosmological analyses constrain physical parameters using Markov Chain Monte Carlo (MCMC) or similar sampling techniques. Oftentimes, these techniques are computationally expensive to run and require up to thousands of CPU hours to…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-25 Thomas McClintock , Eduardo Rozo

Arriving at the complete probabilistic knowledge of a domain, i.e., learning how all variables interact, is indeed a demanding task. In reality, settings often arise for which an individual merely possesses partial knowledge of the domain,…

Artificial Intelligence · Computer Science 2015-06-19 Ardavan Salehi Nobandegani , Ioannis N. Psaromiligkos

We deal with Bayesian inference for Beta autoregressive processes. We restrict our attention to the class of conditionally linear processes. These processes are particularly suitable for forecasting purposes, but are difficult to estimate…

Statistics Theory · Mathematics 2010-08-03 R. Casarin , L. Dalla Valle , F. Leisen

Markov Chain Monte Carlo (MCMC) is a computational approach to fundamental problems such as inference, integration, optimization, and simulation. The field has developed a broad spectrum of algorithms, varying in the way they are motivated,…

Machine Learning · Computer Science 2020-07-01 Kirill Neklyudov , Max Welling , Evgenii Egorov , Dmitry Vetrov

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…

Computation · Statistics 2021-07-27 D. Luengo , L. Martino , M. Bugallo , V. Elvira , S. Särkkä

It is common practice in Markov chain Monte Carlo to update the simulation one variable (or sub-block of variables) at a time, rather than conduct a single full-dimensional update. When it is possible to draw from each full-conditional…

Computation · Statistics 2013-10-03 Alicia A. Johnson , Galin L. Jones , Ronald C. Neath

In this paper a method based on a Markov chain Monte Carlo (MCMC) algorithm is proposed to compute the probability of a rare event. The conditional distribution of the underlying process given that the rare event occurs has the probability…

Probability · Mathematics 2012-11-12 Thorbjörn Gudmundsson , Henrik Hult

The multiple-try Metropolis (MTM) algorithm is a generalization of the Metropolis-Hastings algorithm in which the transition kernel uses a compound proposal consisting of multiple candidate draws. Since its seminal paper there have been…

Computation · Statistics 2025-03-17 Renny Doig , Liangliang Wang

We propose a general framework using spike-and-slab prior distributions to aid with the development of high-dimensional Bayesian inference. Our framework allows inference with a general quasi-likelihood function. We show that highly…

Statistics Theory · Mathematics 2019-08-21 Yves Atchade , Anwesha Bhattacharyya

Any search or sampling algorithm for solution of inverse problems needs guidance to be efficient. Many algorithms collect and apply information about the problem on the fly, and much improvement has been made in this way. However, as a…

Geophysics · Physics 2021-05-19 Sarouyeh Khoshkholgh , Andrea Zunino , Klaus Mosegaard

For Bayesian computation in big data contexts, the divide-and-conquer MCMC concept splits the whole data set into batches, runs MCMC algorithms separately over each batch to produce samples of parameters, and combines them to produce an…

Computation · Statistics 2019-11-25 Wu Changye , Christian P. Robert

Many Bayesian inference problems require exploring the posterior distribution of high-dimensional parameters that represent the discretization of an underlying function. This work introduces a family of Markov chain Monte Carlo (MCMC)…

Computation · Statistics 2016-05-03 Tiangang Cui , Kody J. H. Law , Youssef M. Marzouk

One of the most widely used samplers in practice is the component-wise Metropolis-Hastings (CMH) sampler that updates in turn the components of a vector valued Markov chain using accept-reject moves generated from a proposal distribution.…

Computation · Statistics 2017-03-22 Jinyoung Yang , Evgeny Levi , Radu V. Craiu , Jeffrey S. Rosenthal

A fundamental problem in network analysis is clustering the nodes into groups which share a similar connectivity pattern. Existing algorithms for community detection assume the knowledge of the number of clusters or estimate it a priori…

Methodology · Statistics 2018-03-30 Junxian Geng , Anirban Bhattacharya , Debdeep Pati

Bayesian inference for doubly-intractable pairwise exponential graphical models typically involves variations of the exchange algorithm or approximate Markov chain Monte Carlo (MCMC) samplers. However, existing methods for both classes of…

Computation · Statistics 2026-03-30 Yujie Chen , Antik Chakraborty , Anindya Bhadra