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We propose a sequential Markov chain Monte Carlo (SMCMC) algorithm to sample from a sequence of probability distributions, corresponding to posterior distributions at different times in on-line applications. SMCMC proceeds as in usual MCMC…

Statistics Theory · Mathematics 2013-08-20 Yun Yang , David B. Dunson

Markov chain Monte Carlo (MCMC) algorithms are generally regarded as the gold standard technique for Bayesian inference. They are theoretically well-understood and conceptually simple to apply in practice. The drawback of MCMC is that in…

Computation · Statistics 2019-07-17 Christopher Nemeth , Paul Fearnhead

Determining the physical characteristics of a star is an inverse problem consisting in estimating the parameters of models for the stellar structure and evolution, knowing certain observable quantities. We use a Bayesian approach to solve…

Solar and Stellar Astrophysics · Physics 2015-06-11 M. Bazot , S. Bourguignon , J. Christensen-Dalsgaard

To make use of clustering statistics from large cosmological surveys, accurate and precise covariance matrices are needed. We present a new code to estimate large scale galaxy two-point correlation function (2PCF) covariances in arbitrary…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Oliver H. E. Philcox , Daniel J. Eisenstein , Ross O'Connell , Alexander Wiegand

We present the first $\Lambda$CDM cosmological analysis performed on a galaxy survey using marked power spectra. The marked power spectrum is the two-point function of a marked field, where galaxies are weighted by a function that depends…

Markov Chain Monte Carlo (MCMC) methods are algorithms for sampling probability distributions, commonly applied to the Boltzmann distribution in physical and chemical models such as protein folding and the Ising model. These methods enable…

Quantum Physics · Physics 2025-12-04 Aingeru Ramos , Jose A. Pascual , Javier Navaridas , Ivan Coluzza

We present a Markov Chain Monte Carlo (MCMC)-based parameter estimation package, CosmoReionMC, to jointly constrain cosmological parameters of the $\Lambda$CDM model and the astrophysical parameters related to hydrogen reionization. The…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-18 Atrideb Chatterjee , Tirthankar Roy Choudhury , Sourav Mitra

Particle filtering methods are widely applied in sequential state estimation within nonlinear non-Gaussian state space model. However, the traditional particle filtering methods suffer the weight degeneracy in the high-dimensional state…

Computation · Statistics 2021-11-22 Yu Han , Kazuyuki Nakamura

For large matrix factorisation problems, we develop a distributed Markov Chain Monte Carlo (MCMC) method based on stochastic gradient Langevin dynamics (SGLD) that we call Parallel SGLD (PSGLD). PSGLD has very favourable scaling properties…

We present a fully parallelized grid-based parameter estimation algorithm for investigating multidimensional likelihoods called Snake, and apply it to cosmological parameter estimation. The basic idea is to map out the likelihood grid-cell…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 K. Mikkelsen , S. K. Næss , H. K. Eriksen

Markov chain Monte Carlo (MCMC) samplers are numerical methods for drawing samples from a given target probability distribution. We discuss one particular MCMC sampler, the MALA-within-Gibbs sampler, from the theoretical and practical…

Computation · Statistics 2020-03-19 X. T. Tong , M. Morzfeld , Y. M. Marzouk

We present a study on using Markov Chain Monte Carlo (MCMC) techniques to explore the high-dimensional and multi-modal phase space of scattering events at high-energy particle colliders. To this end, we combine the BAT.jl package that…

High Energy Physics - Phenomenology · Physics 2024-12-18 Salvatore La Cagnina , Cornelius Grunwald , Timo Janßen , Kevin Kröninger , Steffen Schumann

Markov chain Monte Carlo (MCMC) methods are widely used in machine learning. One of the major problems with MCMC is the question of how to design chains that mix fast over the whole state space; in particular, how to select the parameters…

Machine Learning · Computer Science 2019-07-16 Kiarash Shaloudegi , András György

By facilitating the generation of samples from arbitrary probability distributions, Markov Chain Monte Carlo (MCMC) is, arguably, \emph{the} tool for the evaluation of Bayesian inference problems that yield non-standard posterior…

Computation · Statistics 2021-05-27 Peter L Green , Robert E Moore , Ryan J Jackson , Jinglai Li , Simon Maskell

We propose a stochastic gradient Markov chain Monte Carlo (SG-MCMC) algorithm for scalable inference in mixed-membership stochastic blockmodels (MMSB). Our algorithm is based on the stochastic gradient Riemannian Langevin sampler and…

Machine Learning · Computer Science 2015-10-23 Wenzhe Li , Sungjin Ahn , Max Welling

We propose a Markov Chain Monte Carlo (MCMC) algorithm based on Gibbs sampling with parallel tempering to solve nonlinear optimal control problems. The algorithm is applicable to nonlinear systems with dynamics that can be approximately…

Optimization and Control · Mathematics 2024-07-10 João Hespanha , Kerem Camsari

Parameter estimation for discretely observed Markov processes is a challenging problem. However, simulation of Markov processes is straightforward using the Gillespie algorithm. We exploit this ease of simulation to develop an effective…

Computation · Statistics 2014-04-17 Peter Neal

Since the middle of the 1940's scientists have used Monte Carlo (MC) simulations to obtain information about physical processes. This has proved a accurate and and reliable method to obtain this information. Through out resent years…

Astrophysics of Galaxies · Physics 2012-07-02 Thomas Amby Ottosen

Bayesian statistics and Markov Chain Monte Carlo (MCMC) algorithms have found their place in the field of Cosmology. They have become important mathematical and numerical tools, especially in parameter estimation and model comparison. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-02 Luis E. Padilla , Luis O. Tellez , Luis A. Escamilla , J. Alberto Vazquez

[abridged] We present a statistical exploration of the parameter space of the De Lucia and Blaizot version of the Munich semi-analytic model built upon the millennium dark matter simulation. This is achieved by applying a Monte Carlo Markov…

Astrophysics · Physics 2009-11-13 Bruno Henriques , Peter Thomas , Seb Oliver , Isaac Roseboom