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Mergers of binary neutron stars (BNSs) emit signals in both the gravitational-wave (GW) and electromagnetic (EM) spectra. Famously, the 2017 multi-messenger observation of GW170817 led to scientific discoveries across cosmology, nuclear…

A novel formalism for Bayesian learning in the context of complex inference models is proposed. The method is based on the use of the Stationary Fokker--Planck (SFP) approach to sample from the posterior density. Stationary Fokker--Planck…

Disordered Systems and Neural Networks · Physics 2009-10-26 Arturo Berrones

Simulation-based inference provides a powerful framework for Bayesian inference when the likelihood is analytically intractable or computationally prohibitive. By leveraging machine-learning techniques and neural density estimators, it…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Mattia Emma , Gregory Ashton

In a previous work we introduced, in the context of gravitational wave science, an initial study on an automated domain-decomposition approach for reduced basis through hp-greedy refinement. The approach constructs local reduced bases of…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Franco Cerino , Andrés Diaz-Pace , Emmanuel Tassone , Manuel Tiglio , Atuel Villegas

We propose a fast and scalable variational method for Bayesian inference in high-dimensional parameter space, which we call projected Stein variational Newton (pSVN) method. We exploit the intrinsic low-dimensional geometric structure of…

Optimization and Control · Mathematics 2020-02-11 Peng Chen , Keyi Wu , Joshua Chen , Thomas O'Leary-Roseberry , Omar Ghattas

We present a comprehensive investigation of the F-statistic method for parameter estimation of gravitational wave (GW) signals from compact binary coalescences. By analytically maximizing the likelihood over the luminosity distance and…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Hai-Tian Wang

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

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 present a new method and implementation to obtain Bayesian posteriors on the amplitude parameters $\{h_0, \cos \iota, \psi, \phi_0\}$ of continuous-gravitational waves emitted by known pulsars. This approach leverages the…

General Relativity and Quantum Cosmology · Physics 2024-05-03 A. Ashok , P. B. Covas , R. Prix , M. A. Papa

Like light, gravitational waves can be gravitationally lensed by massive objects along their travel path. Strong lensing produces several images from the same binary coalescence and is forecasted to have a promising rate in ground-based…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Justin Janquart , Otto A. Hannuksela , K. Haris , Chris Van Den Broeck

By listening to gravity in the low frequency band, between 0.1 mHz and 1 Hz, the future space-based gravitational-wave observatory LISA will be able to detect tens of thousands of astrophysical sources from cosmic dawn to the present. The…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Quentin Baghi , Ira Thorpe , Jacob Slutsky , John Baker , Tito Dal Canton , Natalia Korsakova , Nikos Karnesis

Gravitational-wave data from advanced-era interferometric detectors consists of background Gaussian noise, frequent transient artefacts, and rare astrophysical signals. Multiple search algorithms exist to detect the signals from compact…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Gregory Ashton , Ann-Kristin Malz , Nicolo Colombo

The next generation of gravitational-wave observatories will achieve unprecedented strain sensitivities with an expanded observing band. They will detect ${\cal O}(10^5)$ binary neutron star (BNS) mergers every year, the loudest of which…

General Relativity and Quantum Cosmology · Physics 2025-11-17 A. Makai Baker , Paul D. Lasky , Eric Thrane , Jacob Golomb

We construct a Bayesian inference deep learning machine for parameter estimation of gravitational wave events of binaries of black hole coalescence. The structure of our deep Bayesian machine adopts the conditional variational autoencoder…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Han-Shiang Kuo , Feng-Li Lin

The detection of continuous gravitational-wave signals requires to account for the motion of the detector with respect to the solar system barycenter in the data analysis. In order to search efficiently for such signals by means of the fast…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Andrzej Krolak , Massimo Tinto

We introduce a simulation-based, amortised Bayesian inference scheme to infer the parameters of random walks. Our approach learns the posterior distribution of the walks' parameters with a likelihood-free method. In the first step a graph…

Machine Learning · Computer Science 2022-12-07 Hippolyte Verdier , François Laurent , Alhassan Cassé , Christian Vestergaard , Jean-Baptiste Masson

This paper proposes novel noise-free Bayesian optimization strategies that rely on a random exploration step to enhance the accuracy of Gaussian process surrogate models. The new algorithms retain the ease of implementation of the classical…

Machine Learning · Computer Science 2024-07-18 Hwanwoo Kim , Daniel Sanz-Alonso

Gravitational wave models are used to infer the properties of black holes in merging binaries from the observed gravitational wave signals through Bayesian inference. Although we have access to a large collection of signal models that are…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Charlie Hoy

We consider Bayesian linear regression with sparsity-inducing prior and design efficient sampling algorithms leveraging posterior contraction properties. A quasi-likelihood with Gaussian spike-and-slab (that is favorable both statistically…

Computation · Statistics 2023-07-13 Qijia Jiang

The sensitivity of gravitational-wave (GW) detectors is characterized by their noise curves, which determine the detector's reach and ability to measure the parameters of astrophysical sources accurately. The detector noise is typically…

Instrumentation and Methods for Astrophysics · Physics 2025-03-21 Sumit Kumar , Alexander H. Nitz , Xisco Jiménez Forteza