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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 determination of the physical parameters of gravitational wave events is a fundamental pillar in the analysis of the signals observed by the current ground-based interferometers. Typically, this is done using Bayesian inference…

General Relativity and Quantum Cosmology · Physics 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

We propose a hierarchical approach to testing general relativity with multiple gravitational wave detections. Unlike existing strategies, our method does not assume that parameters quantifying deviations from general relativity are either…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

Third-generation gravitational wave detectors such as Einstein Telescope and Cosmic Explorer will have significantly better sensitivities than current detectors, as well as a wider frequency bandwidth. This will increase the number and…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Tomasz Baka , Harsh Narola , Justin Janquart , Anuradha Samajdar , Tim Dietrich , Chris Van Den Broeck

An important step in the planning of future gravitational-wave (GW) detectors and of the networks they will form is the estimation of their detection and parameter-estimation capabilities, which is the basis of science-case studies. Several…

We present a novel machine-learning approach to estimate selection effects in gravitational-wave observations. Using techniques similar to those commonly employed in image classification and pattern recognition, we train a series of…

High Energy Astrophysical Phenomena · Physics 2020-11-18 Davide Gerosa , Geraint Pratten , Alberto Vecchio

We present a full sampling of the hierarchical population posterior distribution of merging black holes using current gravitational-wave data. We directly tackle the most relevant intrinsic parameter space made of the binary parameters…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Michele Mancarella , Davide Gerosa

We report on advances to interpret current and future gravitational-wave events in light of astrophysical simulations. A machine-learning emulator is trained on numerical population-synthesis predictions and inserted into a Bayesian…

High Energy Astrophysical Phenomena · Physics 2019-10-30 Kaze W. K. Wong , Davide Gerosa

The Fisher matrix formalism has in recent times become the standard method for predicting the precision with which various cosmological parameters can be extracted from future data. This approach is fast, and generally returns accurate…

Approximations are commonly employed in realistic applications of scientific Bayesian inference, often due to convenience if not necessity. In the field of gravitational-wave (GW) data analysis, fast-to-evaluate but approximate waveform…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Ruiting Mao , Jeong Eun Lee , Ollie Burke , Alvin J. K. Chua , Matthew C. Edwards , Renate Meyer

The catalog of gravitational-wave events is growing, and so are our hopes of constraining the underlying astrophysics of stellar-mass black-hole mergers by inferring the distributions of, e.g., masses and spins. While conventional analyses…

High Energy Astrophysical Phenomena · Physics 2022-11-15 Matthew Mould , Davide Gerosa , Stephen R. Taylor

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

A population of compact object binaries emitting gravitational waves that are not individually resolvable will form a stochastic gravitational wave signal. While the expected spectrum over population realizations is well known from Phinney…

General Relativity and Quantum Cosmology · Physics 2024-08-06 William G. Lamb , Stephen R. Taylor

Gravitational waves emitted during compact binary coalescences are a promising source for gravitational-wave detector networks. The accuracy with which the location of the source on the sky can be inferred from gravitational wave data is a…

General Relativity and Quantum Cosmology · Physics 2015-06-17 K. Grover , S. Fairhurst , B. F. Farr , I. Mandel , C. Rodriguez , T. Sidery , A. Vecchio

Next-generation gravitational wave detectors such as the Einstein Telescope and Cosmic Explorer will have increased sensitivity and observing volumes, enabling unprecedented precision in parameter estimation. However, this enhanced…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Veome Kapil , Luca Reali , Roberto Cotesta , Emanuele Berti

Bayesian inference of gravitational wave signals is subject to systematic error due to modelling uncertainty in waveform signal models, coined approximants. A growing collection of approximants are available which use different approaches…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Gregory Ashton , Sebastian Khan

Fisher matrices play an important role in experimental design and in data analysis. Their primary role is to make predictions for the inference of model parameters - both their errors and covariances. In this short review, I outline a…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-24 Alan Heavens

The Fisher information matrix (FM) plays an important role in forecasts and inferences in many areas of physics. While giving fast parameter estimation with the Gaussian likelihood approximation in the parameter space, the FM can only give…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Ziming Wang , Chang Liu , Junjie Zhao , Lijing Shao

With the third observing run the number of gravitational wave emitting events has increased significantly. The data of the recorded events is inspected to search for overall properties on the population. The properties of subpopulations are…

Solar and Stellar Astrophysics · Physics 2022-11-15 Matthias U. Kruckow , Zhanwen Han