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The gravitational waveform of a merging stellar-mass binary is described at leading order by a quadrupolar mode. However, the complete waveform includes higher-order modes, which encode valuable information not accessible from the…

Instrumentation and Methods for Astrophysics · Physics 2019-12-25 Ethan Payne , Colm Talbot , Eric Thrane

Long-term precise timing of Galactic millisecond pulsars holds great promise for measuring the long-period (months-to-years) astrophysical gravitational waves. Several gravitational-wave observational programs, called Pulsar Timing Arrays…

Astrophysics · Physics 2009-11-13 Rutger van Haasteren , Yuri Levin , Patrick McDonald , Tingting Lu

Gravitational-wave astronomy of compact binaries relies on theoretical models of the gravitational-wave signal that is emitted as binaries coalesce. These models do not only need to be accurate, they also have to be fast to evaluate in…

Instrumentation and Methods for Astrophysics · Physics 2020-03-04 Yoshinta Setyawati , Michael Pürrer , Frank Ohme

Next-generation gravitational-wave detectors will provide unprecedented sensitivity to inspiraling binary neutron stars and black holes, enabling detections at the peak of star formation and beyond. However, the signals from these systems…

Instrumentation and Methods for Astrophysics · Physics 2024-02-22 Andrew L. Miller , Neha Singh , Cristiano Palomba

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

The second generation of gravitational-wave detectors is scheduled to start operations in 2015. Gravitational-wave signatures of compact binary coalescences could be used to accurately test the strong-field dynamical predictions of general…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Walter Del Pozzo , Katherine Grover , Ilya Mandel , Alberto Vecchio

Gravitational wave (GW) detection is now commonplace and as the sensitivity of the global network of GW detectors improves, we will observe $\mathcal{O}(100)$s of transient GW events per year. The current methods used to estimate their…

Instrumentation and Methods for Astrophysics · Physics 2022-01-21 Hunter Gabbard , Chris Messenger , Ik Siong Heng , Francesco Tonolini , Roderick Murray-Smith

Most current compact-binary searches and parameter-estimation pipelines evaluate the Gaussian-noise likelihood approximately using frequency-domain inner products with great success in analyzing gravitational-wave signals. This is…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Vaishak Prasad

We describe a computational framework for hierarchical Bayesian inference with simple (typically single-plate) parametric graphical models that uses graphics processing units (GPUs) to accelerate computations, enabling deployment on very…

Instrumentation and Methods for Astrophysics · Physics 2021-05-18 János M. Szalai-Gindl , Thomas J. Loredo , Brandon C. Kelly , István Csabai , Tamás Budavári , László Dobos

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

One of the key challenges of real-time detection and parameter estimation of gravitational waves from compact binary mergers is the computational cost of conventional matched-filtering and Bayesian inference approaches. In particular, the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-30 Plamen G. Krastev , Kiranjyot Gill , V. Ashley Villar , Edo Berger

Inferring astrophysical information from gravitational waves emitted by compact binaries is one of the key science goals of gravitational-wave astronomy. In order to reach the full scientific potential of gravitational-wave experiments we…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Rory Smith , Scott E. Field , Kent Blackburn , Carl-Johan Haster , Michael Pürrer , Vivien Raymond , Patricia Schmidt

The accuracy of Bayesian inference can be negatively affected by the use of inaccurate forward models. In the case of gravitational-wave inference, accurate but computationally expensive waveform models are sometimes substituted with faster…

Instrumentation and Methods for Astrophysics · Physics 2024-04-02 Miaoxin Liu , Xiao-Dong Li , Alvin J. K. Chua

Population inference in gravitational-wave astronomy allows us to connect individual detections to the astrophysics of compact objects and their environments. Current approaches employed for population inference with LIGO-Virgo-KAGRA data…

Instrumentation and Methods for Astrophysics · Physics 2026-04-07 Alexander W. Criswell , Sharan Banagiri , Vera Delfavero , Maria Jose Bustamante-Rosell , Stephen R. Taylor , Robert Rosati

The two interferometric LIGO gravitational-wave observatories provide the most sensitive data to date to study the gravitational-wave Universe. As part of a global network, they have just completed their third observing run in which they…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Gregory Ashton , Sarah Thiele , Yannick Lecoeuche , Jess McIver , Laura K Nuttall

We present ${\tt bajes}$, a parallel and lightweight framework for Bayesian inference of multimessenger transients. ${\tt bajes}$ is a Python modular package with minimal dependencies on external libraries adaptable to the majority of the…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Matteo Breschi , Rossella Gamba , Sebastiano Bernuzzi

Since the very first detection of gravitational waves from the coalescence of two black holes in 2015, Bayesian statistical methods have been routinely applied by LIGO and Virgo to extract the signal out of noisy interferometric…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Renate Meyer , Matthew C. Edwards , Patricio Maturana-Russel , Nelson Christensen

Ground-based gravitational wave detectors are now routinely surveying the dark Universe, finding hundreds of collisions between compact objects such as black holes and neutron stars. However, terrestrial non-Gaussian noise artefacts,…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Gregory Ashton , Colm Talbot , Andrew Lundgren , Ann-Kristin Malz , Joseph Areeda

With the discovery of the binary black hole coalescence GW150914, the era of gravitational-wave astrophysics has started. Gravitational-wave signals emitted by compact binary coalescences will be detected in large number by LIGO and Virgo…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Salvatore Vitale , Ryan Lynch , Riccardo Sturani , Philip Graff

Merger rates of binary black holes, binary neutron stars, and neutron star-black hole binaries in the local Universe (i.e., redshift $z=0$), inferred from the Laser Interferometer Gravitational Wave Observatory (LIGO) and Virgo, are…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Elia Pizzati , Surabhi Sachdev , Anuradha Gupta , Bangalore Sathyaprakash