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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

The nanohertz frequency band explored by pulsar timing arrays provides a unique discovery space for gravitational wave signals. In addition to signals from anticipated sources, such as those from supermassive black hole binaries, some…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Bence Bécsy , Neil J. Cornish

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

In this work we review the application of the theory of Gaussian processes to the modeling of noise in pulsar-timing data analysis, and we derive various useful and optimized representations for the likelihood expressions that are needed in…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Rutger van Haasteren , Michele Vallisneri

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

Bayesian inference with stochastic sampling has been widely used to obtain the properties of gravitational wave (GW) sources. Although computationally intensive, its cost remains manageable for current second-generation GW detectors because…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Qian Hu , John Veitch

The present operation of the ground-based network of gravitational-wave laser interferometers in "enhanced" configuration brings the search for gravitational waves into a regime where detection is highly plausible. The development of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 John Veitch , Alberto Vecchio

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

Matched filtering is a common method for detecting gravitational waves. However, the computational costs of searching large template banks limit the efficiency of classical algorithms when searching for massive black hole binary (MBHB)…

Instrumentation and Methods for Astrophysics · Physics 2025-10-20 Fangzhou Guo , Jibo He

Bayesian methods are becoming more widely used in asteroseismic analysis. In particular, they are being used to determine oscillation frequencies, which are also commonly found by Fourier analysis. It is important to establish whether the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Timothy R. White , Brendon J. Brewer , Timothy R. Bedding , Dennis Stello , Hans Kjeldsen

The direct detection of gravitational waves (GWs) by LIGO has strikingly confirmed general relativity (GR), but testing GR via GWs requires estimating parameterized post-Einsteinian (ppE) deviation parameters in waveform models. Traditional…

Instrumentation and Methods for Astrophysics · Physics 2026-02-03 Yong-Xin Zhang , Tian-Yang Sun , Chun-Yu Xiong , Song-Tao Liu , Yu-Xin Wang , Shang-Jie Jin , Jing-Fei Zhang , Xin Zhang

We present the results of a search for continuous gravitational wave signals (CGWs) in the second data release (DR2) of the European Pulsar Timing Array (EPTA) collaboration. The most significant candidate event from this search has a…

Gravitational-wave data from advanced-era interferometric detectors consists of background Gaussian noise, frequent transient artefacts, and rare astrophysical signals. Multiple search algorithms exist to detect the signals from compact…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Gregory Ashton , Ann-Kristin Malz , Nicolo Colombo

The search for continuous gravitational-wave signals requires the development of techniques that can effectively explore the low-significance regions of the candidate set. In this paper we present the methods that were developed for a…

General Relativity and Quantum Cosmology · Physics 2015-03-11 Berit Behnke , Maria Alessandra Papa , Reinhard Prix

Parameter estimation (PE) for compact binary coalescence (CBC) events observed by gravitational wave (GW) laser interferometers is a core task in GW astrophysics. We present a method to compute the posterior distribution efficiently without…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Jonathan Mushkin , Javier Roulet , Barak Zackay , Tejaswi Venumadhav , Oryna Ivashtenko , Digvijay Wadekar , Ajit Kumar Mehta , Matias Zaldarriaga

Presented in this paper is a Markov chain Monte Carlo (MCMC) routine for conducting coherent parameter estimation for interferometric gravitational wave observations of an inspiral of binary compact objects using data from multiple…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Röver , Renate Meyer , Nelson Christensen

We describe an efficient method of matched filtering over long (greater than 1 day) time baselines starting from Fourier transforms of short durations (roughly 30 minutes) of the data stream. This method plays a crucial role in the search…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. R. Williams , B. F. Schutz

The detection of unmodeled gravitational-wave bursts by ground-based interferometric gravitational-wave detectors is a major goal for the advanced detector era. These searches are commonly cast as pattern recognition problems, where the…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Michael Coughlin , Patrick Meyers , Shivaraj Kandhasamy , Eric Thrane , Nelson Christensen

The ringdown of the gravitational-wave signal from a merger of two black holes has been suggested as a probe of the structure of the remnant compact object, which may be more exotic than a black hole. It has been pointed out that there will…

General Relativity and Quantum Cosmology · Physics 2019-06-05 R. K. L. Lo , T. G. F. Li , A. J. Weinstein

Minute-long Gravitational Wave (GW) transients are events lasting from few to hundreds of seconds. In opposition to compact binary mergers, their GW signals cover a wide range of poorly understood astrophysical phenomena such as accretion…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Vincent Boudart , Maxime Fays