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We describe an application of the MultiNest algorithm to gravitational wave data analysis. MultiNest is a multimodal nested sampling algorithm designed to efficiently evaluate the Bayesian evidence and return posterior probability densities…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Farhan Feroz , Jonathan R. Gair , Michael P. Hobson , Edward K. Porter

The optimal instant of observation of astrophysical phenomena for objects that vary on human time-sales is an important problem, as it bears on the cost-effective use of usually scarce observational facilities. In this paper we address this…

Solar and Stellar Astrophysics · Physics 2023-02-15 Miguel Videla , Rene A. Mendez , Jorge F. Silva , Marcos E. Orchard

Bayesian inference is used to extract unknown parameters from gravitational wave signals. Detector noise is typically modelled as stationary, although data from the LIGO and Virgo detectors is not stationary. We demonstrate that the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-13 O Edy , A. Lundgren , L. K. Nuttall

A key challenge in spatial statistics is the analysis for massive spatially-referenced data sets. Such analyses often proceed from Gaussian process specifications that can produce rich and robust inference, but involve dense covariance…

Methodology · Statistics 2019-07-25 Shinichiro Shirota , Andrew O. Finley , Bruce D. Cook , Sudipto Banerjee

Joint gravitational wave (GW) and electromagnetic (EM) observations, as a key research direction in multi-messenger astronomy, will provide deep insight into the astrophysics of a vast range of astronomical phenomena. Uncertainties in the…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Xilong Fan , Christopher Messenger , Ik Siong Heng

A gravitational-wave background can be detected in pulsar-timing-array data as Hellings--Downs correlations among the timing residuals measured for different pulsars. The optimal statistic implements this concept as a classical…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Michele Vallisneri , Patrick M. Meyers , Katerina Chatziioannou , Alvin J. K. Chua

When partitioning workflows in realistic scenarios, the knowledge of the processing units is often vague or unknown. A naive approach to addressing this issue is to perform many controlled experiments for different workloads, each…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-03 Freddy C. Chua , Bernardo A. Huberman

A new model independent method is presented for the analysis of pulsar timing data and the estimation of the spectral properties of an isotropic gravitational wave background (GWB). We show that by rephrasing the likelihood we are able to…

Instrumentation and Methods for Astrophysics · Physics 2013-06-26 Lindley Lentati , Paul Alexander , Michael P. Hobson , Stephen Taylor , Jonathon Gair , Sreekumar T. Balan , Rutger van Haasteren

We review Skilling's nested sampling (NS) algorithm for Bayesian inference and more broadly multi-dimensional integration. After recapitulating the principles of NS, we survey developments in implementing efficient NS algorithms in practice…

Gravitational wave astronomy has tremendous potential for studying extreme astrophysical phenomena and exploring fundamental physics. The waves produced by binary black hole mergers will provide a pristine environment in which to study…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Neil Cornish , Laura Sampson , Nico Yunes , Frans Pretorius

In the age of multi-messenger astrophysics, low-latency parameter estimation of gravitational-wave signals is essential for electromagnetic follow-up observations. In this paper, we present a new edition of the Bayesian parameter estimation…

General Relativity and Quantum Cosmology · Physics 2022-01-17 Caitlin A. Rose , Vinaya Valsan , Patrick R. Brady , Sinead Walsh , Chris Pankow

In performing a Bayesian analysis of astronomical data, two difficult problems often emerge. First, in estimating the parameters of some model for the data, the resulting posterior distribution may be multimodal or exhibit pronounced…

Astrophysics · Physics 2010-01-11 Farhan Feroz , M. P. Hobson

The parallelization, design and scalability of the \sky code to search for periodic gravitational waves from rotating neutron stars is discussed. The code is based on an efficient implementation of the F-statistic using the Fast Fourier…

General Relativity and Quantum Cosmology · Physics 2015-02-03 Gevorg Poghosyan , Sanchit Matta , Achim Streit , Michał Bejger , Andrzej Królak

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

The pulsar timing array community has recently reported the first evidence of a low-frequency stochastic gravitational wave background. With longer observational timespans we expect to be able to resolve individual gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2024-07-17 Gabriel E. Freedman , Sarah J. Vigeland

With the growing number of gravitational-wave detections, particularly from binary black hole mergers, there is increasing anticipation that an astrophysical background, formed by an ensemble of faint, high-redshift events, will be observed…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Xiaolin Liu , Sachiko Kuroyanagi

In this work, we address the problem of solving a series of underdetermined linear inverse problems subject to a sparsity constraint. We generalize the spike-and-slab prior distribution to encode a priori correlation of the support of the…

Machine Learning · Statistics 2018-01-19 Michael Riis Andersen , Aki Vehtari , Ole Winther , Lars Kai Hansen

This paper describes the Bayesian Technique for Multi-image Analysis (BaTMAn), a novel image-segmentation technique based on Bayesian statistics that characterizes any astronomical dataset containing spatial information and performs a…

Instrumentation and Methods for Astrophysics · Physics 2017-01-18 J. Casado , Y. Ascasibar , R. García-Benito , G. Guidi , O. S. Choudhury , E. Bellocchi , S. F. Sánchez , A. I. Díaz

Detecting continuous nanohertz gravitational waves (GWs) generated by individual close binaries of supermassive black holes (CB-SMBHs) is one of the primary objectives of pulsar timing arrays (PTAs). The detection sensitivity is slated to…

Instrumentation and Methods for Astrophysics · Physics 2021-12-08 Yu-Yang Songsheng , Yi-Qian Qian , Yan-Rong Li , Pu Du , Jie-Wen Chen , Yan Wang , Soumya D. Mohanty , Jian-Min Wang

We present a lightweight, flexible, and high-performance framework for inferring the properties of gravitational-wave events. By combining likelihood heterodyning, automatically-differentiable and accelerator-compatible waveforms, and…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Kaze W. K. Wong , Maximiliano Isi , Thomas D. P. Edwards