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Pulsar timing arrays (PTAs) detect low-frequency gravitational waves (GWs) by looking for correlated deviations in pulse arrival times. Current Bayesian searches use Markov Chain Monte Carlo (MCMC) methods, which struggle to sample the…

Instrumentation and Methods for Astrophysics · Physics 2023-03-08 Gabriel E. Freedman , Aaron D. Johnson , Rutger van Haasteren , Sarah J. Vigeland

With the advance in computational resources, Bayesian inference is increasingly becoming the standard tool of practise in GW astronomy. However, algorithms such as Markov Chain Monte Carlo (MCMC) require a large number of iterations to…

General Relativity and Quantum Cosmology · Physics 2014-11-04 Edward K. Porter

We describe several new techniques which accelerate Bayesian searches for continuous gravitational-wave emission from supermassive black-hole binaries using pulsar timing arrays. These techniques mitigate the problematic increase of…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Stephen Taylor , Justin Ellis , Jonathan Gair

It is computationally expensive to search the large parameter space associated with a gravitational wave signal of uncertain frequency, such as might be expected from the possible pulsar generated by SN1987A. To address this difficulty we…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John Veitch , Richard Umstaetter , Renate Meyer , Nelson Christensen , Graham Woan

Pulsar timing arrays (PTAs) perform Bayesian posterior inference with expensive MCMC methods. Given a dataset of ~10-100 pulsars and O(10^3) timing residuals each, producing a posterior distribution for the stochastic gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2023-10-20 David Shih , Marat Freytsis , Stephen R. Taylor , Jeff A. Dror , Nolan Smyth

Monte-Carlo simulations are used in the gravitational wave burst detection community to demonstrate and compare the properties of different search techniques. We note that every Monte-Carlo simulation has a corresponding optimal search…

General Relativity and Quantum Cosmology · Physics 2008-04-09 Antony C. Searle

Long-term precise timing of Galactic millisecond pulsars holds great promise for measuring the long-period (months-to-years) astrophysical gravitational waves. Several gravitational-wave observational programs, called Pulsar Timing Arrays…

Astrophysics · Physics 2009-11-13 Rutger van Haasteren , Yuri Levin , Patrick McDonald , Tingting Lu

Gravitational wave burst is a catch-all category for signals whose durations are shorter than the observation period. We apply a method new to gravitational wave data analysis --- Bayesian non-parameterics --- to the problem of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Xihao Deng

We present an enhanced method for the application of Gaussian Mixture Modelling (GMM) to the coherent WaveBurst (cWB) algorithm in the search for short-duration gravitational wave (GW) transients. The supervised Machine Learning method of…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Leigh Smith , Sayantan Ghosh , Jiyoon Sun , V. Gayathri , Ik Siong Heng , Archana Pai

As we move into an era of more sensitive pulsar timing array data sets, we may be able to resolve individual gravitational wave sources from the stochastic gravitational wave background. While some of these sources, like orbiting massive…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Jacob A. Taylor , Rand Burnette , Bence Bécsy , Neil J. Cornish

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

Finding and characterizing gravitational waves from individual supermassive black hole binaries is a central goal of pulsar timing array experiments, which will require analysis methods that can be efficient on our rapidly growing datasets.…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Bence Bécsy

Anisotropic bursts of gravitational radiation produced by events such as super-massive black hole mergers leave permanent imprints on space. Such gravitational wave "memory" (GWM) signals are, in principle, detectable through pulsar timing…

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

Pulsar timing arrays (PTAs) are used to search for long-wavelength gravitational waves (GWs) by monitoring a set of spin-stable millisecond pulsars. Most theoretical analyses assume that the relevant GW sources are much more distant from…

Astrophysics of Galaxies · Physics 2018-01-03 Dustin R. Madison , David F. Chernoff , James M. Cordes

Among efforts to detect gravitational radiation, pulsar timing arrays are uniquely poised to detect "memory" signatures, permanent perturbations in spacetime from highly energetic astrophysical events such as mergers of supermassive black…

Pulsar timing arrays recently found evidence for a gravitational wave background (GWB), likely the stochastic overlap of GWs from many supermassive black hole binaries. Anticipating a continuous gravitational wave (CW) detection from a…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-08 Emiko C. Gardiner , Bence Bécsy , Luke Zoltan Kelley , Neil J. Cornish

The data analysis problem of coherently searching for unmodeled gravitational-wave bursts in the data generated by a global network of gravitational-wave observatories has been at the center of research for almost two decades. As data from…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antony C. Searle , Patrick J. Sutton , Massimo Tinto

We propose a novel method for observing the gravitational wave signature of super-massive black hole (SMBH) mergers. This method is based on detection of a specific type of gravitational waves, namely gravitational wave burst with memory…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-28 M. S. Pshirkov , D. Baskaran , K. A. Postnov

Gravitational-wave data analysis demands sophisticated statistical noise models in a bid to extract highly obscured signals from data. In Bayesian model comparison, we choose among a landscape of models by comparing their marginal…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Haochen Wang , Stephen R. Taylor , Michele Vallisneri
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