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The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

Computational Engineering, Finance, and Science · Computer Science 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

In this paper an efficient and reliable method for stochastic yield estimation is presented. Since one main challenge of uncertainty quantification is the computational feasibility, we propose a hybrid approach where most of the Monte Carlo…

Computational Engineering, Finance, and Science · Computer Science 2020-10-12 Mona Fuhrländer , Sebastian Schöps

This work presents a data-driven method for learning low-dimensional time-dependent physics-based surrogate models whose predictions are endowed with uncertainty estimates. We use the operator inference approach to model reduction that…

Numerical Analysis · Mathematics 2025-03-19 Shane A. McQuarrie , Anirban Chaudhuri , Karen E. Willcox , Mengwu Guo

Semi-analytical waveform models for black hole binaries require calibration against numerical relativity waveforms to accurately represent the late inspiral and merger, where analytical approximations fail. After the fitting coefficients…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Simone Mezzasoma , Carl-Johan Haster , Caroline B. Owen , Neil J. Cornish , Nicolás Yunes

We apply common gravitational wave inference procedures on binary black hole merger waveforms beyond general relativity. We consider dynamical Chern-Simons gravity, a modified theory of gravity with origins in string theory and loop quantum…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Maria Okounkova , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

Gravitational-wave astronomy provides a promising avenue for the discovery of new physics beyond general relativity as it probes extreme curvature and ultra-relativistic dynamics. However, in the absence of a compelling alternative to…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Lachlan Passenger , Shun Yin Cheung , Nir Guttman , Nikhil Kannachel , Paul D. Lasky , Eric Thrane

Coalescing binary black-hole systems are among the most promising sources of gravitational waves for ground-based interferometers. While the \emph{inspiral} and \emph{ring-down} stages of the binary black-hole coalescence are well-modelled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Ajith

Gaussian process surrogates are a popular alternative to directly using computationally expensive simulation models. When the simulation output consists of many responses, dimension-reduction techniques are often employed to construct these…

Methodology · Statistics 2023-05-04 Moses Y-H. Chan , Matthew Plumlee , Stefan M. Wild

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

Highly precise and robust waveform models are required as improvements in detector sensitivity enable us to test general relativity with more precision than ever before. In this work, we introduce a spin-aligned surrogate ringdown model.…

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

Systems of two black holes with unbound orbits can produce a diverse array of gravitational wave signals with rich morphology. This parameter space encompasses both hyperbolic orbit scattering events and dynamical captures, including…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Chad Henshaw , Jacob Lange , Peter Lott , Richard O'Shaughnessy , Laura Cadonati

We introduce deep learning models to estimate the masses of the binary components of black hole mergers, $(m_1,m_2)$, and three astrophysical properties of the post-merger compact remnant, namely, the final spin, $a_f$, and the frequency…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Hongyu Shen , E. A. Huerta , Eamonn O'Shea , Prayush Kumar , Zhizhen Zhao

Numerical relativity simulations provide a full description of the dynamics of binary systems, including gravitational radiation. The waveforms produced by these simulations have a number of applications in gravitational-wave detection and…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Taylor Knapp , Katerina Chatziioannou , Keefe Mitman , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder , Harald Pfeiffer

Gravitational waves emitted by a ringing black hole allow us to perform precision tests of general relativity in the strong field regime. With improvements to our current gravitational wave detectors and upcoming next-generation detectors,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Costantino Pacilio , Swetha Bhagwat , Roberto Cotesta

We introduce a new approach for finding high accuracy, free and closed-form expressions for the gravitational waves emitted by binary black hole collisions from ab initio models. More precisely, our expressions are built from numerical…

General Relativity and Quantum Cosmology · Physics 2021-03-15 Manuel Tiglio , Aarón Villanueva

As gravitational wave (GW) detector networks continue to improve in sensitivity, the demand on the accuracy of waveform models which predict the GW signals from compact binary coalescences is becoming more stringent. At high signal-to-noise…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Ritesh Bachhar , Michael Pürrer , Stephen R. Green

The present operation of the ground-based network of gravitational-wave laser interferometers in "enhanced" configuration brings the search for gravitational waves into a regime where detection is highly plausible. The development of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 John Veitch , Alberto Vecchio

We present a fast method for obtaining fully analytical approximations for gravitational waveforms produced by merging of neutron stars and/or black holes for the earliest stages of the merger process. The obtained analytical formula is…

High Energy Astrophysical Phenomena · Physics 2025-11-04 Aleksandra V. Mishakina , Sergei I. Blinnikov

Due to its speed after training, machine learning is often envisaged as a solution to a manifold of the issues faced in gravitational-wave astronomy. Demonstrations have been given for various applications in gravitational-wave data…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Jurriaan Langendorff , Alex Kolmus , Justin Janquart , Chris Van Den Broeck