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We present a novel algorithm that is based on a Bayesian Markov Chain Monte Carlo (MCMC) technique for performing robust profile analysis of a data cube from either single-dish or interferometric radio telescopes. It fits a set of models…

Astrophysics of Galaxies · Physics 2019-05-22 Se-Heon Oh , Lister Staveley-Smith , Bi-Qing For

Stochastic approximation Monte Carlo (SAMC) has recently been proposed by Liang, Liu and Carroll [J. Amer. Statist. Assoc. 102 (2007) 305--320] as a general simulation and optimization algorithm. In this paper, we propose to improve its…

Statistics Theory · Mathematics 2009-08-26 Faming Liang

Precision measurements of charged cosmic rays have recently been carried out by space-born (e.g. AMS-02), or ground experiments (e.g. HESS). These measured data are important for the studies of astro-physical phenomena, including supernova…

High Energy Astrophysical Phenomena · Physics 2020-03-05 Xiao-Lin Luo , Jie Feng , Hong-Hao Zhang

Markov chain Monte Carlo (MCMC) is a powerful tool for sampling from complex probability distributions. Despite its versatility, MCMC often suffers from strong autocorrelation and the negative sign problem, leading to slowing down the…

Statistical Mechanics · Physics 2024-12-05 Synge Todo

Given the complexity of modern cosmological parameter inference where we are faced with non-Gaussian data and noise, correlated systematics and multi-probe correlated data sets, the Approximate Bayesian Computation (ABC) method is a…

Instrumentation and Methods for Astrophysics · Physics 2017-03-08 Elise Jennings , Maeve Madigan

We use cosmography to present constraints on the kinematics of the Universe, without postulating any underlying theoretical model. To this end, we use a Monte Carlo Markov Chain analysis to perform comparisons to the supernova Ia Union 2…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Alejandro Aviles , Christine Gruber , Orlando Luongo , Hernando Quevedo

The growing field of large-scale time domain astronomy requires methods for probabilistic data analysis that are computationally tractable, even with large datasets. Gaussian Processes are a popular class of models used for this purpose…

Instrumentation and Methods for Astrophysics · Physics 2017-11-15 Daniel Foreman-Mackey , Eric Agol , Sivaram Ambikasaran , Ruth Angus

Markov chain Monte Carlo (MCMC) is a sampling-based method for estimating features of probability distributions. MCMC methods produce a serially correlated, yet representative, sample from the desired distribution. As such it can be…

Computation · Statistics 2019-12-10 Dootika Vats , Nathan Robertson , James M Flegal , Galin L Jones

While Robert and Rousseau (2010) addressed the foundational aspects of Bayesian analysis, the current chapter details its practical aspects through a review of the computational methods available for approximating Bayesian procedures.…

Computation · Statistics 2010-02-25 Christian P. Robert , Jean-Michel Marin

A system to update estimates from a sequence of probability distributions is presented. The aim of the system is to quickly produce estimates with a user-specified bound on the Monte Carlo error. The estimates are based upon weighted…

Methodology · Statistics 2014-06-04 F. Din-Houn Lau , Axel Gandy

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

Joint models for longitudinal and time-to-event data constitute an attractive modeling framework that has received a lot of interest in the recent years. This paper presents the capabilities of the R package JMbayes for fitting these models…

Computation · Statistics 2014-05-01 Dimitris Rizopoulos

Markov chain Monte Carlo (MCMC) methods provide powerful framework for sampling unknown probability measures across a wide range of scientific applications. In some settings, the target distribution is supported on a lower-dimensional…

Numerical Analysis · Mathematics 2026-04-27 Xuyuan Wang , Donglin Han

As it has become common to use many computer cores in routine applications, finding good ways to parallelize popular algorithms has become increasingly important. In this paper, we present a parallelization scheme for Markov chain Monte…

Methodology · Statistics 2016-06-01 Guillaume W. Basse , Natesh S. Pillai , Aaron Smith

Single-chain Markov chain Monte Carlo simulates realizations from a Markov chain to estimate expectations with the empirical average. The single-chain simulation is generally of considerable length and restricts many advantages of modern…

Statistics Theory · Mathematics 2024-02-01 Austin Brown

Today, cheap numerical hardware offers huge amounts of parallel computing power, much of which is used for the task of fitting neural networks to data. Adoption of this hardware to accelerate statistical Markov chain Monte Carlo (MCMC)…

Computation · Statistics 2024-11-08 Pavel Sountsov , Colin Carroll , Matthew D. Hoffman

A new Monte Carlo algorithm for phase-space sampling, named (MC)**3, is presented. It is based on Markov Chain Monte Carlo techniques but at the same time incorporates prior knowledge about the target distribution in the form of suitable…

High Energy Physics - Phenomenology · Physics 2015-06-12 Kevin Kroeninger , Steffen Schumann , Benjamin Willenberg

Monte Carlo simulations are a unique tool to check the response of a detector and to monitor its performance. For a deep-sea neutrino telescope, the variability of the environmental conditions that can affect the behaviour of the data…

High Energy Astrophysical Phenomena · Physics 2021-02-03 The ANTARES Collaboration , A. Albert , M. André , M. Anghinolfi , G. Anton , M. Ardid , J. -J. Aubert , J. Aublin , B. Baret , S. Basa , B. Belhorma , V. Bertin , S. Biagi , M. Bissinger , J. Boumaaza , M. Bouta , M. C. Bouwhuis , H. Branzas , R. Bruijn , J. Brunner , J. Busto , A. Capone , L. Caramete , J. Carr , S. Cecchini , S. Celli , M. Chabab , T. N. Chau , R. Cherkaoui El Moursli , T. Chiarusi , M. Circella , A. Coleiro , M. Colomer-Molla , R. Coniglione , P. Coyle , A. Creusot , A. F. Diaz , G. de Wasseige , A. Deschamps , C. Distefano , I. Di Palma , A. Domi , C. Donzaud , D. Dornic , D. Drouhin , T. Eberl , N. El Khayati , A. Enzenhofer , A. Ettahiri , P. Fermani , G. Ferrara , F. Filippini , L. Fusco , P. Gay , H. Glotin , R. Gozzini , K. Graf , C. Guidi , S. Hallmann , H. van Haren , A. J. Heijboer , Y. Hello , J. J. Hernandez-Rey , J. Hossl , J. Hofestadt , F. Huang , G. Illuminati , C. W. James , M. de Jong , P. de Jong , M. Jongen , M. Kadler , O. Kalekin , U. Katz , N. R. Khan-Chowdhury , A. Kouchner , I. Kreykenbohm , V. Kulikovskiy , R. Lahmann , R. Le Breton , D. Lefevre , E. Leonora , G. Levi , M. Lincetto , D. Lopez-Coto , S. Loucatos , J. Manczak , M. Marcelin , A. Margiotta , A. Marinelli , J. A. Martinez-Mora , S. Mazzou , K. Melis , P. Migliozzi , M. Moser , A. Moussa , R. Muller , L. Nauta , S. Navas , E. Nezri , A. Nunez-Castineyra , B. O'Fearraigh , M. Organokov , G. E. Pavalas , C. Pellegrino , M. Perrin-Terrin , P. Piattelli , C. Poirè , V. Popa , T. Pradier , N. Randazzo , S. Reck , G. Riccobene , F. Salesa , A. Sanchez-Losa , D. F. E. Samtleben , M. Sanguineti , P. Sapienza , J. Schnabel , F. Schussler , M. Spurio , Th. Stolarczyk , B. Strandberg , M. Taiuti , Y. Tayalati , T. Thakore , S. J. Tingay , B. Vallage , V. Van Elewyck , F. Versari , S. Viola , D. Vivolo , J. Wilms , A. Zegarelli , J. D. Zornoza , J. Zuniga

CosmoMC is a Fortran 95 Markov-Chain Monte-Carlo (MCMC) engine to explore the cosmological parameter space, plus a Python suite for plotting and presenting results (see http://cosmologist.info/cosmomc/). This document describes the…

Instrumentation and Methods for Astrophysics · Physics 2014-09-12 Ming-Hua Li , Ping Wang , Zhe Chang , Dong Zhao

Monte Carlo sampling is a powerful toolbox of algorithmic techniques widely used for a number of applications wherein some noisy quantity, or summary statistic thereof, is sought to be estimated. In this paper, we survey the literature for…