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Pulsar-timing datasets have been analyzed with great success using probabilistic treatments based on Gaussian distributions, with applications ranging from studies of neutron-star structure to tests of general relativity and searches for…

Instrumentation and Methods for Astrophysics · Physics 2017-02-01 Michele Vallisneri , Rutger van Haasteren

The recent discovery of the stochastic gravitational-wave background via pulsar timing arrays will likely be followed by the detection of individual black hole binaries that stand out above the background. However, to confidently claim the…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Bence Bécsy , Neil J. Cornish , Polina Petrov , Xavier Siemens , Stephen R. Taylor , Sarah J. Vigeland , Caitlin A. Witt

The analysis of pulsar timing data, especially in pulsar timing array (PTA) projects, has encountered practical difficulties: evaluating the likelihood and/or correlation-based statistics can become prohibitively computationally expensive…

Instrumentation and Methods for Astrophysics · Physics 2012-11-16 Rutger van Haasteren

In this paper, we develop a Neural Likelihood Estimator and apply it to analyse real gravitational-wave (GW) data for the first time. We assess the usability of neural likelihood for GW parameter estimation and report the parameter space…

High Energy Astrophysical Phenomena · Physics 2025-09-23 Luca Negri , Anuradha Samajdar

The characterization of nanohertz-frequency gravitational waves (GWs) with pulsar-timing arrays requires a continual expansion of datasets and monitored pulsars. Whereas detection of the stochastic GW background is predicated on measuring a…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Stephen R. Taylor , Joseph Simon , Levi Schult , Nihan Pol , William G. Lamb

Supermassive black hole binaries are the most promising source of gravitational-waves in the frequency band accessible to pulsar timing arrays. Most of these binaries will be too distant to detect individually, but together they will form…

General Relativity and Quantum Cosmology · Physics 2020-06-19 Bence Bécsy , Neil J. Cornish

In this lecture we describe the data analysis problem for insparlling binaries. We discuss the detection statistic, how to make realiable estimation and how to compute bias in the estimation of parameters. A combination of geometrical ideas…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. S. Sathyaprakash

Transient gravitational waves (aka gravitational wave bursts) within the nanohertz frequency band could be generated by a variety of astrophysical phenomena such as the encounter of supermassive black holes, the kinks or cusps in cosmic…

General Relativity and Quantum Cosmology · Physics 2023-07-13 Heling Deng , Bence Bécsy , Xavier Siemens , Neil J. Cornish , Dustin R. Madison

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

Instrumentation and Methods for Astrophysics · Physics 2025-07-31 Alexander Harvey Nitz

The properties of black-hole and neutron-star binaries are extracted from gravitational-wave signals using Bayesian inference. This involves evaluating a multi-dimensional posterior probability function with stochastic sampling. The…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Virginia D'Emilio , Rhys Green , Vivien Raymond

The standard Bayesian technique for searching pulsar timing data for gravitational wave (GW) bursts with memory (BWMs) using Markov Chain Monte Carlo (MCMC) sampling is very computationally expensive to perform. In this paper, we explain…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Jerry Sun , Paul T. Baker , Aaron D. Johnson , Dustin R. Madison , Xavier Siemens

Gravitational wave models are used to infer the properties of black holes in merging binaries from the observed gravitational wave signals through Bayesian inference. Although we have access to a large collection of signal models that are…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Charlie Hoy

The majority of fast millisecond pulsars are in binary systems, so that any periodic signal they emit is modulated by both Doppler and relativistic effects. Here we show how well-established binary models can be used to account for these…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matthew Pitkin , Graham Woan

Evidence for a low-frequency stochastic gravitational wave background has recently been reported based on analyses of pulsar timing array data. The most likely source of such a background is a population of supermassive black hole binaries,…

High Energy Astrophysical Phenomena · Physics 2023-07-26 Gabriella Agazie , Akash Anumarlapudi , Anne M. Archibald , Zaven Arzoumanian , Paul T. Baker , Bence Bécsy , Laura Blecha , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Robin Case , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil Cornish , Fronefield Crawford , H. Thankful Cromartie , Kathryn Crowter , Megan DeCesar , Paul B. Demorest , Matthew C. Digman , Timothy Dolch , Brendan Drachler , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel Freedman , Nathaniel Garver-Daniels , Peter Gentile , Joseph Glaser , Deborah Good , Kayhan Gültekin , Jeffrey Hazboun , Sophie Hourihane , Ross Jennings , Aaron D. Johnson , Megan Jones , Andrew R. Kaiser , David Kaplan , Luke Zoltan Kelley , Matthew Kerr , Joey Key , Nima Laal , Michael Lam , William G. Lamb , T. Joseph W. Lazio , Natalia Lewandowska , Tingting Liu , Duncan R. Lorimer , Jing Santiago Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin Madison , Alexander McEwen , James W. McKee , Maura McLaughlin , Natasha McMann , Bradley W. Meyers , Patrick M. Meyers , Chiara M. F. Mingarelli , andrea mitridate , priya natarajan , Cherry Ng , David Nice , Stella Koch Ocker , Ken Olum , Timothy T. Pennucci , Benetge Perera , Polina Petrov , Nihan Pol , Henri A. Radovan , Scott Ransom , Paul S. Ray , Joseph Romano , Shashwat C. Sardesai , Ann Schmiedekamp , Carl Schmiedekamp , Kai Schmitz , Brent J. Shapiro-Albert , Xavier Siemens , Joseph Simon , Magdalena Siwek , Ingrid Stairs , Dan Stinebring , Kevin Stovall , Abhimanyu Susobhanan , Joseph Swiggum , Jacob Taylor , Stephen Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Rutger van Haasteren , Sarah J. Vigeland , Haley M. Wahl , Caitlin Witt , Olivia Young

The detection rate for compact binary mergers has grown as the sensitivity of the global network of ground based gravitational wave detectors has improved, now reaching the stage where robust automation of the analyses is essential.…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Neil J. Cornish

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

With periods much longer than the duration of current pulsar timing surveys, gravitational waves in the picohertz (pHz) regime are not detectable in the typical analysis framework for pulsar timing data. However, signatures of these…

High Energy Astrophysical Phenomena · Physics 2026-02-09 Qinyuan Zheng , Chiara M. F. Mingarelli , William DeRocco , Jonathan Nay , Kimberly K. Boddy , Jeff A. Dror

Pulsar Timing Array (PTA) collaborations recently reported evidence for the presence of a gravitational wave background (GWB) in their datasets. The main candidate that is expected to produce such a GWB is the population of supermassive…

Deep learning can be used to drastically decrease the processing time of parameter estimation for coalescing binaries of compact objects including black holes and neutron stars detected in gravitational waves (GWs). As a first step, we…

Instrumentation and Methods for Astrophysics · Physics 2022-01-28 Alistair McLeod , Daniel Jacobs , Chayan Chatterjee , Linqing Wen , Fiona Panther

Pulsar timing observations are used to place constraints on the rate of coalescence of supermassive black-hole (SMBH) binaries as a function of mass and redshift. In contrast to the indirect constraints obtained from other techniques,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Z. L. Wen , F. A. Jenet , D. Yardley , G. B. Hobbs , R. N. Manchester