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We introduce the use of autoregressive normalizing flows for rapid likelihood-free inference of binary black hole system parameters from gravitational-wave data with deep neural networks. A normalizing flow is an invertible mapping on a…

Instrumentation and Methods for Astrophysics · Physics 2020-11-25 Stephen R. Green , Christine Simpson , Jonathan Gair

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

We combine hierarchical Bayesian modeling with a flow-based deep generative network, in order to demonstrate that one can efficiently constraint numerical gravitational wave (GW) population models at a previously intractable complexity.…

Instrumentation and Methods for Astrophysics · Physics 2020-07-07 Kaze W. K. Wong , Gabriella Contardo , Shirley Ho

Gravitational-wave events are interpreted in terms of Bayesian posteriors for their source properties inferred under unphysical reference priors. Though these parameter estimates are important intermediate data products for downstream…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Matthew Mould , Rodrigo Tenorio , Davide Gerosa

We apply neural posterior estimation for fast-and-accurate hierarchical Bayesian inference of gravitational wave populations. We use a normalizing flow to estimate directly the population hyper-parameters from a collection of individual…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Konstantin Leyde , Stephen R. Green , Alexandre Toubiana , Jonathan Gair

The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

The LIGO-Virgo-KAGRA catalog has been analyzed with an abundance of different population models due to theoretical uncertainty in the formation of gravitational-wave sources. To expedite model exploration, we introduce an efficient and…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Matthew Mould , Noah E. Wolfe , Salvatore Vitale

Gravity inversion is a commonly applied data analysis technique in the field of geophysics. While machine learning methods have previously been explored for the problem of gravity inversion, these are deterministic approaches returning a…

When looking for gravitational wave signals from known pulsars, targets have been treated using independent searches. Here we use a hierarchical Bayesian framework to combine observations from individual sources for two purposes: to produce…

Instrumentation and Methods for Astrophysics · Physics 2018-09-12 M. Pitkin , C. Messenger , X. Fan

We describe a Bayesian formalism for analyzing individual gravitational-wave events in light of the rest of an observed population. This analysis reveals how the idea of a "population-informed prior" arises naturally from a suitable…

General Relativity and Quantum Cosmology · Physics 2021-11-11 Christopher J. Moore , Davide Gerosa

We present a computational framework for efficient learning, sampling, and distribution of general Bayesian posterior distributions. The framework leverages a machine learning approach for the construction of normalizing flows for the…

Nuclear Theory · Physics 2023-10-10 Yukari Yamauchi , Landon Buskirk , Pablo Giuliani , Kyle Godbey

Combining multiple events into population analyses is a cornerstone of gravitational-wave astronomy. A critical component of such studies is the assumed population model, which can range from astrophysically motivated functional forms to…

High Energy Astrophysical Phenomena · Physics 2025-05-21 Cecilia Maria Fabbri , Davide Gerosa , Alessandro Santini , Matthew Mould , Alexandre Toubiana , Jonathan Gair

Coalescing compact binaries emitting gravitational wave (GW) signals, as recently detected by the Advanced LIGO-Virgo network, constitute a population over the multi-dimensional space of component masses and spins, redshift, and other…

Instrumentation and Methods for Astrophysics · Physics 2019-01-30 Sebastian M. Gaebel , John Veitch , Thomas Dent , Will M. Farr

Gravitational-wave population studies have become more important in gravitational-wave astronomy because of the rapid growth of the observed catalog. In recent studies, emulators based on different machine learning techniques are used to…

Instrumentation and Methods for Astrophysics · Physics 2023-01-04 Damon H. T. Cheung , Kaze W. K. Wong , Otto A. Hannuksela , Tjonnie G. F. Li , Shirley Ho

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

Deep learning techniques for gravitational-wave parameter estimation have emerged as a fast alternative to standard samplers $\unicode{x2013}$ producing results of comparable accuracy. These approaches (e.g., DINGO) enable amortized…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Jonas Wildberger , Maximilian Dax , Stephen R. Green , Jonathan Gair , Michael Pürrer , Jakob H. Macke , Alessandra Buonanno , Bernhard Schölkopf

We present an automatic approach to discover analytic population models for gravitational-wave (GW) events from data. As more gravitational-wave (GW) events are detected, flexible models such as Gaussian Mixture Models have become more…

Instrumentation and Methods for Astrophysics · Physics 2022-07-27 Kaze W. K Wong , Miles Cranmer

We demonstrate unprecedented accuracy for rapid gravitational-wave parameter estimation with deep learning. Using neural networks as surrogates for Bayesian posterior distributions, we analyze eight gravitational-wave events from the first…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Maximilian Dax , Stephen R. Green , Jonathan Gair , Jakob H. Macke , Alessandra Buonanno , Bernhard Schölkopf

Gaussian Process Regression (GPR) is a powerful tool for nonparametric regression, but its application in a fully Bayesian fashion in high-dimensional settings is hindered by two primary challenges: the difficulty of variable selection and…

Methodology · Statistics 2025-11-11 Peter Knaus

We present a machine learning approach using normalising flows for inferring cosmological parameters from gravitational wave events. Our methodology is general to any type of compact binary coalescence event and cosmological model and…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Federico Stachurski , Christopher Messenger , Martin Hendry
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