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We present a fast, hierarchical, and adaptive algorithm for Metropolis Monte Carlo simulations of systems with long-range interactions that reproduces the dynamics of a standard implementation exactly, i.e., the generated configurations and…

Computational Physics · Physics 2023-07-27 Fabio Müller , Henrik Christiansen , Stefan Schnabel , Wolfhard Janke

In searches for gravitational waves emitted by known isolated pulsars in data collected by a detector one can assume that the frequency of the wave, its spindown parameters, and the position of the source in the sky are known, so the almost…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Piotr Jaranowski , Andrzej Królak

From basic considerations of the Lie group that preserves a target probability measure, we derive the Barker, Metropolis, and ensemble Markov chain Monte Carlo (MCMC) algorithms, as well as variants of waste-recycling Metropolis-Hastings…

Statistics Theory · Mathematics 2020-01-29 Steve Huntsman

The Metropolis Hastings algorithm and its multi-proposal extensions are aimed at the computation of the expectation $<\pi,f>$ of a function $f$ under a probability measure $\pi$ difficult to simulate. They consist in constructing by an…

Probability · Mathematics 2009-02-20 Jean-François Delmas , Benjamin Jourdain

We present a comprehensive study of the effectiveness of Convolution Neural Networks (CNNs) to detect long duration transient gravitational-wave signals lasting $O(hours-days)$ from isolated neutron stars. We determine that CNNs are robust…

We present an adaptive method for the automatic scaling of Random-Walk Metropolis-Hastings algorithms, which quickly and robustly identifies the scaling factor that yields a specified overall sampler acceptance probability. Our method…

Methodology · Statistics 2010-06-21 P. H. Garthwaite , Y. Fan , S. A. Sisson

We investigate a method to incorporate signal models that allow an additional frequency harmonic in searches for gravitational waves from spinning neutron stars. We assume emission is given by the general triaxial non-aligned model of…

High Energy Astrophysical Phenomena · Physics 2015-09-18 M. Pitkin , C. Gill , D. I. Jones , G. Woan , G. S. Davies

A search is performed for continuous gravitational waves emitted by unknown neutron stars in five nearby globular clusters using data from the third Laser Interferometer Gravitational-Wave Observatory (LIGO) observing run, over the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 L. Dunn , A. Melatos , P. Clearwater , S. Suvorova , L. Sun , W. Moran , R. J. Evans

Monte-Carlo techniques are standard numerical tools for exploring non-Gaussian and multivariate likelihoods. Many variants of the original Metropolis-Hastings algorithm have been proposed to increase the sampling efficiency. Motivated by…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-31 Maximilian Philipp Herzog , Heinrich von Campe , Rebecca Maria Kuntz , Lennart Röver , Björn Malte Schäfer

Continuous gravitational-wave signals from isolated non-axisymmetric rotating neutron stars may undergo episodic spin-up events known as glitches. If unmodelled by a search, these can result in missed or misidentified detections. We outline…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Gregory Ashton , Reinhard Prix , Ian Jones

The classical Metropolis-Hastings (MH) algorithm can be extended to generate non-reversible Markov chains. This is achieved by means of a modification of the acceptance probability, using the notion of vorticity matrix. The resulting Markov…

Probability · Mathematics 2020-09-29 Joris Bierkens

We present a novel proposal strategy for the Metropolis-Hastings algorithm designed to efficiently sample general convex polytopes in 100 or more dimensions. This improves upon previous sampling strategies used for free-form reconstruction…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Mario Lubini , Jonathan Coles

Coalescing binary neutron stars (NS) are expected to be an important source of gravitational waves (GW) detectable by laser interferometers. We present here a simple method for determining the compactness ratio M/R of NS based on the…

The nature of the post-merger remnant of the first binary neutron star coalescence observed by the Advanced Laser Interferometer Gravitational Wave Observatory (Advanced LIGO) and Advanced Virgo, GW170817, is unknown. Searches have been…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Ling Sun , Andrew Melatos

The gravitational waves emitted by neutron stars carry unique information about their structure and composition. Direct detection of these gravitational waves, however, is a formidable technical challenge. In a recent study we quantified…

Solar and Stellar Astrophysics · Physics 2009-11-13 Anna L. Watts , Badri Krishnan

The ability to generate samples of the random effects from their conditional distributions is fundamental for inference in mixed effects models. Random walk Metropolis is widely used to conduct such sampling, but such a method can converge…

Applications · Statistics 2019-10-29 Belhal Karimi , Marc Lavielle

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

The Metropolis-Hastings algorithm is a cornerstone of Markov Chain Monte Carlo methods, underpinning a wide range of applications in computational physics, Bayesian inference, and machine learning. Quantum variants of Metropolis-Hastings…

Quantum Physics · Physics 2026-05-07 Miguel Carrasco-Arango , Rosa M. Badia , Artur Garcia-Saez

This paper introduces a new Markov Chain Monte Carlo method for Bayesian variable selection in high dimensional settings. The algorithm is a Hastings-Metropolis sampler with a proposal mechanism which combines a Metropolis Adjusted Langevin…

Statistics Theory · Mathematics 2015-09-14 Amandine Schreck , Gersende Fort , Sylvain Le Corff , Eric Moulines

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