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Coalescing compact binaries of neutron stars and/or black holes are considered as one of the most promising sources for Earth based gravitational wave detectors. The LIGO-Virgo joint collaboration's Compact Binary Coalescence (CBC) group is…

General Relativity and Quantum Cosmology · Physics 2019-08-13 Anand S. Sengupta

The Laser Interferometer Space Antenna (LISA) is expected to detect gravitational radiation from a large number of compact binary systems. We present a method by which these signals can be identified and have their parameters estimated. Our…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Richard Umstätter , Nelson Christensen , Martin Hendry , Renate Meyer , Vimal Simha , John Veitch , Sarah Vigeland , Graham Woan

Observations of gravitational waves emitted by merging compact binaries have provided tantalising hints about stellar astrophysics, cosmology, and fundamental physics. However, the physical parameters describing the systems, (mass, spin,…

Instrumentation and Methods for Astrophysics · Physics 2023-09-29 Colm Talbot , Jacob Golomb

The parameters of inspiralling compact binaries can be estimated using matched filtering of gravitational-waveform templates against the output of laser-interferometric gravitational-wave detectors. Using a recently calculated formula,…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Eric Poisson , Clifford M. Will

An introduction to the use of linchpin variables in Markov chain Monte Carlo (MCMC) is provided. Before the widespread adoption of MCMC methods, conditional sampling using linchpin variables was essentially the only practical approach for…

Computation · Statistics 2022-10-26 Dootika Vats , Felipe Acosta , Mark L. Huber , Galin L. Jones

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

Searches for gravitational waves from compact-binary mergers, which to date have reported $\sim100$ observations, have previously ignored binaries whose components are both consistent with the mass of neutron stars $(1 M_\odot$ to $ 2…

High Energy Astrophysical Phenomena · Physics 2024-02-08 Yi-Fan Wang , Alexander H. Nitz

We introduce Bilby-MCMC, a Markov-Chain Monte-Carlo sampling algorithm tuned for the analysis of gravitational waves from merging compact objects. Bilby-MCMC provides a parallel-tempered ensemble Metropolis-Hastings sampler with access to a…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Gregory Ashton , Colm Talbot

The coalescence of binary neutron stars are one of the main sources of gravitational waves for ground-based gravitational wave detectors. As Bayesian inference for binary neutron stars is computationally expensive, more efficient and faster…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Yann Bouffanais , Edward K. Porter

In this thesis we consider the data analysis problem of detecting gravitational waves emitted by inspiraling binary systems. Detection of gravitational waves will open a new window on the Universe enabling direct detection of systems such…

General Relativity and Quantum Cosmology · Physics 2010-02-10 Gareth Jones

The recent advanced LIGO detections of gravitational waves from merging binary black holes enhance the prospect of exploring binary evolution via gravitational-wave observations of a population of compact-object binaries. In the face of…

High Energy Astrophysical Phenomena · Physics 2017-01-25 Ilya Mandel , Will M. Farr , Andrea Colonna , Simon Stevenson , Peter Tiňo , John Veitch

Markov Chain Monte Carlo (MCMC) proves to be powerful for Bayesian inference and in particular for exoplanet radial velocity fitting because MCMC provides more statistical information and makes better use of data than common approaches like…

Instrumentation and Methods for Astrophysics · Physics 2014-01-30 Fengji Hou , Jonathan Goodman , David W. Hogg , Jonathan Weare , Christian Schwab

Gravitational wave observations of binary black hole mergers probe their astrophysical origins via the binary spin, namely the spin magnitudes and directions of each component black hole, together described by six degrees of freedom.…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Simona J. Miller , Zoe Ko , Thomas A. Callister , Katerina Chatziioannou

We report on the methods and results of the first dedicated search for gravitational waves emitted during the inspiral of compact binaries with spinning component bodies. We analyze 788 hours of data collected during the third science run…

General Relativity and Quantum Cosmology · Physics 2008-11-26 The LIGO Scientific Collaboration , B. Abbott

We examine the selection effects that determine how the population of inspiraling binary compact objects (BCOs) is reflected by those potentially observed with ground-based interferometers like LIGO. We lay the ground-work for the…

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

The Markov chain Monte Carlo methods offer practical procedures for detecting signals characterized by a large number of parameters and under conditions of low signal-to-noise ratio. We present a Metropolis-Hastings algorithm capable of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nelson Christensen , Réjean J. Dupuis , Graham Woan , Renate Meyer

The mass and spin distributions of compact binary gravitational-wave sources are currently uncertain due to complicated astrophysics involved in their formation. Multiple sub-populations of compact binaries representing different…

High Energy Astrophysical Phenomena · Physics 2019-07-24 Jade Powell , Simon Stevenson , Ilya Mandel , Peter Tino

Markov chain Monte Carlo (MCMC) is a powerful tool for sampling from complex probability distributions. Despite its versatility, MCMC often suffers from strong autocorrelation and the negative sign problem, leading to slowing down the…

Statistical Mechanics · Physics 2024-12-05 Synge Todo

The inference of physical parameters from measured distributions constitutes a core task in physics data analyses. Among recent deep learning methods, so-called conditional invertible neural networks provide an elegant approach owing to…

Instrumentation and Methods for Astrophysics · Physics 2022-03-14 Teresa Bister , Martin Erdmann , Ullrich Köthe , Josina Schulte