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We develop a new Markov chain on graph partitions that makes relatively global moves yet is computationally feasible to be used as the proposal in the Metropolis-Hastings method. Our resulting algorithm can be made reversible and able to…

Data Structures and Algorithms · Computer Science 2021-05-11 Eric Autrey , Daniel Carter , Gregory Herschlag , Zach Hunter , Jonathan C. Mattingly

We introduce a gradient-based learning method to automatically adapt Markov chain Monte Carlo (MCMC) proposal distributions to intractable targets. We define a maximum entropy regularised objective function, referred to as generalised speed…

Machine Learning · Statistics 2020-01-07 Michalis K. Titsias , Petros Dellaportas

Markov chain Monte Carlo methods are a powerful and commonly used family of numerical methods for sampling from complex probability distributions. As applications of these methods increase in size and complexity, the need for efficient…

Numerical Analysis · Mathematics 2019-01-31 Colin Cotter , Simon Cotter , Paul Russell

Metropolis-Hastings estimates intractable expectations - can differentiating the algorithm estimate their gradients? The challenge is that Metropolis-Hastings trajectories are not conventionally differentiable due to the discrete…

Statistics Theory · Mathematics 2024-06-21 Gaurav Arya , Moritz Schauer , Ruben Seyer

Regional flood frequency analysis is a convenient way to reduce estimation uncertainty when few data are available at the gauging site. In this work, a model that allows a non-null probability to a regional fixed shape parameter is…

Applications · Statistics 2008-02-05 Mathieu Ribatet , Eric Sauquet , Jean-Michel Grésillon , Taha B. M. J. Ouarda

There is increasing interest to develop Bayesian inferential algorithms for point process models with intractable likelihoods. A purpose of this paper is to illustrate the utility of using simulation based strategies, including Approximate…

Computation · Statistics 2026-02-02 Chaoyi Lu , Nial Friel

Bayesian additive regression trees have seen increased interest in recent years due to their ability to combine machine learning techniques with principled uncertainty quantification. The Bayesian backfitting algorithm used to fit BART…

Machine Learning · Statistics 2022-02-22 Antonio R. Linero

This paper discusses the challenges presented by tall data problems associated with Bayesian classification (specifically binary classification) and the existing methods to handle them. Current methods include parallelizing the likelihood,…

Methodology · Statistics 2017-03-22 Richard D. Payne , Bani K. Mallick

Sequential optimization methods are often confronted with the curse of dimensionality in high-dimensional spaces. Current approaches under the Gaussian process framework are still burdened by the computational complexity of tracking…

Machine Learning · Computer Science 2024-01-08 Zeji Yi , Yunyue Wei , Chu Xin Cheng , Kaibo He , Yanan Sui

Latent position network models are a versatile tool in network science; applications include clustering entities, controlling for causal confounders, and defining priors over unobserved graphs. Estimating each node's latent position is…

Computation · Statistics 2021-11-05 Neil A. Spencer , Brian Junker , Tracy M. Sweet

This paper proposes a new sampling scheme based on Langevin dynamics that is applicable within pseudo-marginal and particle Markov chain Monte Carlo algorithms. We investigate this algorithm's theoretical properties under standard…

Methodology · Statistics 2016-05-30 Christopher Nemeth , Chris Sherlock , Paul Fearnhead

Estimating model parameters of a general family of cure models is always a challenging task mainly due to flatness and multimodality of the likelihood function. In this work, we propose a fully Bayesian approach in order to overcome these…

Methodology · Statistics 2024-08-20 Panagiotis Papastamoulis , Fotios Milienos

Most Markov chain Monte Carlo methods operate in discrete time and are reversible with respect to the target probability. Nevertheless, it is now understood that the use of non-reversible Markov chains can be beneficial in many contexts. In…

Methodology · Statistics 2021-02-23 Chris Sherlock , Alexandre H. Thiery

We present a new multiple-try Metropolis-Hastings algorithm designed to be especially beneficial when a tailored proposal distribution is available. The algorithm is based on a given acyclic graph $G$, where one of the nodes in $G$, $k$…

Computation · Statistics 2018-07-06 Xin Luo , Håkon Tjelmeland

Powerful ideas recently appeared in the literature are adjusted and combined to design improved samplers for Bayesian exponential random graph models. Different forms of adaptive Metropolis-Hastings proposals (vertical, horizontal and…

Computation · Statistics 2014-09-18 Alberto Caimo , Antonietta Mira

We study a Monte Carlo algorithm for simulation of probability distributions based on stochastic step functions, and compare to the traditional Metropolis/Hastings method. Unlike the latter, the step function algorithm can produce an…

Probability · Mathematics 2015-12-07 Torquil Macdonald Sørensen , Fred Espen Benth

In recent years, various interacting particle samplers have been developed to sample from complex target distributions, such as those found in Bayesian inverse problems. These samplers are motivated by the mean-field limit perspective and…

Computation · Statistics 2023-12-22 Björn Sprungk , Simon Weissmann , Jakob Zech

Equilibrium systems evolve according to Detailed Balance (DB). This principe guided development of the Monte-Carlo sampling techniques, of which Metropolis-Hastings (MH) algorithm is the famous representative. It is also known that DB is…

Statistical Mechanics · Physics 2015-07-15 Konstantin S. Turitsyn , Michael Chertkov , Marija Vucelja

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…

Computation · Statistics 2026-04-21 Dwija Kakkad , Dootika Vats

It is commonly admitted that non-reversible Markov chain Monte Carlo (MCMC) algorithms usually yield more accurate MCMC estimators than their reversible counterparts. In this note, we show that in addition to their variance reduction…

Computation · Statistics 2019-08-27 Marie Vialaret , Florian Maire