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We present a unified description of gravitational-wave data analysis that unites the template-based analysis used to detect deterministic signals from well-modeled sources, such as binary-black-hole mergers, with the cross-correlation…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Neil J. Cornish , Joseph D. Romano

A central challenge in Gravitational Wave Astronomy is identifying weak signals in the presence of non-stationary and non-Gaussian noise. The separation of gravitational wave signals from noise requires good models for both. When accurate…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Neil J. Cornish , Tyson B. Littenberg

Recently, many different pulsar timing array (PTA) collaborations have reported strong evidence for a common stochastic process in their data sets. The reported amplitudes are in tension with previously computed upper limits. In this paper,…

High Energy Astrophysical Phenomena · Physics 2022-06-29 Aaron D. Johnson , Sarah J. Vigeland , Xavier Siemens , Stephen R. Taylor

Several models of gamma-ray burst progenitors suggest that the gamma-ray event may be followed by gravitational wave signals of $10^3$-$10^4$ seconds duration (possibly accompanying the so-called X-ray afterglow "plateaus"). We term these…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Robert Coyne , Alessandra Corsi , Benjamin J. Owen

Pulsar timing uses the highly stable pulsar spin period to investigate many astrophysical topics. In particular, pulsar timing arrays make use of a set of extremely well-timed pulsars and their time correlations as a challenging detector of…

Astrophysics of Galaxies · Physics 2021-12-16 Michele Maiorano , Francesco De Paolis , Achille A. Nucita

We discuss the detection of gravitational-wave backgrounds in the context of Bayesian inference and suggest a practical definition of what it means for a signal to be considered stochastic---namely, that the Bayesian evidence favors a…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Neil J. Cornish , Joseph D. Romano

Machine learning can be a powerful tool to discover new signal types in astronomical data. We here apply it to search for long-duration transient gravitational waves triggered by pulsar glitches, which could yield physical insight into the…

High Energy Astrophysical Phenomena · Physics 2023-07-18 Luana M. Modafferi , Rodrigo Tenorio , David Keitel

In the next decade gravitational waves might be detected using a pulsar timing array. In an effort to develop optimal detection strategies for stochastic backgrounds of gravitational waves in generic metric theories of gravity, we…

High Energy Astrophysical Phenomena · Physics 2013-05-30 Sydney J. Chamberlin , Xavier Siemens

We assess the detectability of a nanohertz gravitational wave (GW) background with respect to additive red and white noise in the timing of millisecond pulsars. We develop detection criteria based on the cross-correlation function summed…

Astrophysics of Galaxies · Physics 2015-05-28 J. M. Cordes , R. M. Shannon

A new Bayesian method for the analysis of folded pulsar timing data is presented that allows for the simultaneous evaluation of evolution in the pulse profile in either frequency or time, along with the timing model and additional…

Instrumentation and Methods for Astrophysics · Physics 2015-01-09 L Lentati , P. Alexander , M. P. Hobson

Once upon a time, predictions for the accuracy of inference on gravitational-wave signals relied on computationally inexpensive but often inaccurate techniques. Recently, the approach has shifted to actual inference on noisy signals with…

Instrumentation and Methods for Astrophysics · Physics 2015-12-09 Carl-Johan Haster , Ilya Mandel , Will M. Farr

Crosscorrelation of the outputs of two Gravitational Wave (GW) detectors has recently been proposed [1] as a method for detecting statistical association between GWs and Gamma Ray Bursts (GRBs). Unfortunately, the method can be effectively…

Astrophysics · Physics 2009-11-07 G. Modestino , A. Moleti

We introduce a novel procedure for obtaining cross-validated predictive estimates for Bayesian hierarchical regression models (BHRMs). Bayesian hierarchical models are popular for their ability to model complex dependence structures and…

Machine Learning · Statistics 2024-10-01 Amy X. Zhang , Le Bao , Changcheng Li , Michael J. Daniels

A new approach to the problem of gravitational waves detection based on simultaneous timing of several pulsars and subsequent expansion of the post-fit timing data into components of different spectral kind (with different spectral indices)…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Alexander E. Rodin

Pulsar timing-array correlation measurements offer an exciting opportunity to test the nature of gravity in the cosmologically novel nanohertz gravitational wave regime. The stochastic gravitational wave background is assumed Gaussian and…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Reginald Christian Bernardo , Kin-Wang Ng

We introduce a new method designed for Bayesian inference of the angular power spectrum of the Gravitational Wave Background (GWB) anisotropy. This scheme works with time-series data and can optionally incorporate the cross-correlations…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-19 Chi Tian , Ran Ding , Xiao-Xiao Kou

Ground-based gravitational wave laser interferometers (LIGO, GEO-600, Virgo and Tama-300) have now reached high sensitivity and duty cycle. We present a Bayesian evidence-based approach to the search for gravitational waves, in particular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John Veitch , Alberto Vecchio

We introduce a method for performing a robust Bayesian analysis of non-Gaussianity present in pulsar timing data, simultaneously with the pulsar timing model, and additional stochastic parameters such as those describing red spin noise and…

Instrumentation and Methods for Astrophysics · Physics 2014-09-19 Lindley Lentati , Michael P. Hobson , Paul Alexander

Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs

We present a method of searching for, and parameterizing, signals from known radio pulsars in data from interferometric gravitational wave detectors. This method has been applied to data from the LIGO and GEO 600 detectors to set upper…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Réjean J. Dupuis , Graham Woan