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Reliable low-latency gravitational wave parameter estimation is essential to target limited electromagnetic followup facilities toward astrophysically interesting and electromagnetically relevant sources of gravitational waves. In this…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Brandon Miller , Richard O'Shaughnessy , Tyson B. Littenberg , Ben Farr

Many astronomical surveys are limited by the brightness of the sources, and gravitational-wave searches are no exception. The detectability of gravitational waves from merging binaries is affected by the mass and spin of the constituent…

General Relativity and Quantum Cosmology · Physics 2022-01-04 Colm Talbot , Eric Thrane

Bayesian model selection provides a powerful and mathematically transparent framework to tackle hypothesis testing, such as detection tests of gravitational waves emitted during the coalescence of binary systems using ground-based laser…

General Relativity and Quantum Cosmology · Physics 2009-11-13 John Veitch , Alberto Vecchio

There has been remarkable progress in numerical relativity recently. This has led to the generation of gravitational waveform signals covering what has been traditionally termed the three phases of the coalescence of a compact binary - the…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Benjamin Farr , Stephen Fairhurst , B. S. Sathyaprakash

The Rapid Iterative FiTting (RIFT) parameter inference algorithm provides a framework for efficient, highly-parallelized parameter inference for GW sources. In this paper, we summarize essential algorithm enhancements and operating point…

General Relativity and Quantum Cosmology · Physics 2023-02-03 J. Wofford , A. Yelikar , H. Gallagher , E. Champion , D. Wysocki , V. Delfavero , J. Lange , C. Rose , V. Valsan , S. Morisaki , J. Read , C. Henshaw , R. O'Shaughnessy

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

This thesis explores parameter estimation methods for rapidly reconstructing compact binary sources generating gravitational waves. It employs numerical linear algebra and meshfree approximation techniques to expedite waveform generation…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Lalit Pathak

Gravitational wave (GW) astronomy has consolidated its role as a new observational window to reveal the properties of compact binaries in the Universe. In particular, the discovery of the first binary neutron star coalescence, GW170817, led…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Anuradha Samajdar , Tim Dietrich

Many relevant applications in gravitational wave physics share a significant common problem: the seven-dimensional parameter space of gravitational waveforms from precessing compact binary inspirals and coalescences is large enough to…

General Relativity and Quantum Cosmology · Physics 2014-07-16 Jonathan Blackman , Bela Szilagyi , Chad R. Galley , Manuel Tiglio

Gravitational wave searches rely on a combination of methods, including matched filtering, coherent analyses, and more recent machine learning based pipelines. For compact binary coalescences, where signals originate from the relativistic…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Lorenzo Mobilia , Tito Dal Canton , Gianluca Maria Guidi

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 Advanced LIGO and Advanced Virgo gravitational wave (GW) detectors will begin operation in the coming years, with compact binary coalescence events a likely source for the first detections. The gravitational waveforms emitted directly…

To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Soichiro Isoyama , Riccardo Sturani , Hiroyuki Nakano

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Javier Roulet , Tejaswi Venumadhav

The recent breakthroughs regarding the detection of compact binary mergers via gravitational waves opened up a new window to the Universe. Gravitational-wave models have been essential to this success since they are necessary to infer the…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Adrian Abac , Anna Puecher , Jonathan Gair , Tim Dietrich

A number of open problems hinder our present ability to extract scientific information from data that will be gathered by the near-future gravitational-wave mission LISA. Many of these relate to the modeling, detection and characterization…

Instrumentation and Methods for Astrophysics · Physics 2020-02-17 Alvin J. K. Chua , Natalia Korsakova , Christopher J. Moore , Jonathan R. Gair , Stanislav Babak

The gravitational wave signal from merging compact binaries encodes information about their orbital and intrinsic properties. Over the last few years, state-of-the-art waveform models have begun to incorporate the effects of orbital…

High Energy Astrophysical Phenomena · Physics 2026-05-14 Natalie Malagon , Richard O'Shaughnessy

The inferential models (IM) framework provides prior-free, frequency-calibrated, posterior probabilistic inference. The key is the use of random sets to predict unobservable auxiliary variables connected to the observable data and unknown…

Statistics Theory · Mathematics 2016-01-26 Ryan Martin , Chuanhai Liu

Coalescing compact binaries have been pointed out as the most promising source of gravitational waves for kilometer-size interferometers such as LIGO. Gravitational wave signals are extracted from the noise in the detectors by matched…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karl Martel

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair