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We combine amortized neural posterior estimation with importance sampling for fast and accurate gravitational-wave inference. We first generate a rapid proposal for the Bayesian posterior using neural networks, and then attach importance…

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

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

As gravitational-wave catalogs grow, they will become increasingly computationally expensive to analyze in their entirety, especially when inferring astrophysical source populations with high-dimensional, flexible models. Bayesian…

Instrumentation and Methods for Astrophysics · Physics 2026-02-25 Noah E. Wolfe , Matthew Mould , John Veitch , Salvatore Vitale

Comparing population-synthesis models to the results of hierarchical Bayesian inference in gravitational-wave astronomy requires a careful understanding of the domain of validity of the models fitted to data. This comparison is usually done…

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 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

Gravitational waves (GWs) signals detected by the LIGO/Virgo/KAGRA collaboration might be sourced (partly) by the merges of primordial black holes (PBHs). The conventional hierarchical Bayesian inference methods can allow us to study…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Hai-Long Huang , Zhan-He Wang , Qing-Yu Lan , Jun-Qian Jiang , Jibin He , Yu-Tong Wang , Jun Zhang , Yun-Song Piao

Since the first direct detection of gravitational waves by the LIGO--Virgo collaboration in 2015, the size of the gravitational-wave transient catalog has grown to nearly 100 events, with more than as many observed during the ongoing fourth…

Instrumentation and Methods for Astrophysics · Physics 2024-09-24 Colm Talbot , Amanda Farah , Shanika Galaudage , Jacob Golomb , Hui Tong

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

Catalogs of stellar-mass compact binary systems detected by ground-based gravitational-wave instruments (such as Advanced LIGO and Advanced Virgo) will offer insights into the demographics of progenitor systems and the physics guiding…

High Energy Astrophysical Phenomena · Physics 2018-10-24 Stephen R. Taylor , Davide Gerosa

Primordial black holes (PBHs), envisioned as a compelling dark matter candidate and a window onto early-Universe physics, may contribute to the part of the gravitational-wave (GW) signals detected by the LIGO-Virgo-KAGRA network.…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Jun-Qian Jiang , Hai-Long Huang , Jibin He , Yu-Tong Wang , Yun-Song Piao

Bayesian inference is the workhorse of gravitational-wave astronomy, for example, determining the mass and spins of merging black holes, revealing the neutron star equation of state, and unveiling the population properties of compact…

Instrumentation and Methods for Astrophysics · Physics 2019-09-04 Colm Talbot , Rory Smith , Eric Thrane , Gregory B. Poole

The LIGO and Virgo gravitational-wave observatories have detected many exciting events over the past five years. As the rate of detections grows with detector sensitivity, this poses a growing computational challenge for data analysis. With…

Instrumentation and Methods for Astrophysics · Physics 2020-08-11 Stephen R. Green , Jonathan Gair

Gravitational waves from compact binaries measured by the LIGO and Virgo detectors are routinely analyzed using Markov Chain Monte Carlo sampling algorithms. Because the evaluation of the likelihood function requires evaluating millions of…

Instrumentation and Methods for Astrophysics · Physics 2020-12-23 Arnaud Delaunoy , Antoine Wehenkel , Tanja Hinderer , Samaya Nissanke , Christoph Weniger , Andrew R. Williamson , Gilles Louppe

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

Ground-based gravitational-wave detectors like the Advanced LIGO, Advanced Virgo, and KAGRA experiments now regularly witness gravitational waves from compact binary mergers: the relativistic collisions of neutron stars and/or stellar-mass…

High Energy Astrophysical Phenomena · Physics 2024-10-28 T. A. Callister

The LIGO, Virgo, and KAGRA (LVK) gravitational-wave observatories have opened new scientific research in astrophysics, fundamental physics, and cosmology. The collaborations that build and operate these observatories release the…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Gregory Ashton

The detection of gravitational waves (GWs) from binary black holes (BBHs) has allowed the theory of general relativity to be tested in a previously unstudied regime: that of strong curvature and high GW luminosities. One distinctive and…

High Energy Astrophysical Phenomena · Physics 2020-04-29 Oliver M. Boersma , David A. Nichols , Patricia Schmidt

Fast, highly accurate, and reliable inference of the sky origin of gravitational waves would enable real-time multi-messenger astronomy. Current Bayesian inference methodologies, although highly accurate and reliable, are slow. Deep…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Alex Kolmus , Grégory Baltus , Justin Janquart , Twan van Laarhoven , Sarah Caudill , Tom Heskes
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