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We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Christopher J. Moore , Jonathan R. Gair

Gravitational-wave parameter estimation for compact binary signals typically relies on sequential estimation of the properties of the detector Gaussian noise and of the binary parameters. This procedure assumes that the noise variance,…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Cailin Plunkett , Sophie Hourihane , Katerina Chatziioannou

We describe the consistency testing of a new code for gravitational wave signal parameter estimation in known pulsar searches. The code uses an implementation of nested sampling to explore the likelihood volume. Using fake signals and…

High Energy Astrophysical Phenomena · Physics 2015-06-04 M. Pitkin , C. Gill , J. Veitch , E. Macdonald , G. Woan

Parameterised models that predict the gravitational-wave (GW) signal from merging black holes are used to extract source properties from GW observations. The majority of research in this area has focused on developing methods capable of…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Sebastian Khan

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

Sampling errors in nested sampling parameter estimation differ from those in Bayesian evidence calculation, but have been little studied in the literature. This paper provides the first explanation of the two main sources of sampling errors…

Methodology · Statistics 2018-12-11 Edward Higson , Will Handley , Mike Hobson , Anthony Lasenby

The post-Newtonian formalism plays an integral role in the models used to extract information from gravitational wave data, but models that incorporate this formalism are inherently approximations. Disagreement between an approximate model…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Caroline B. Owen , Carl-Johan Haster , Scott Perkins , Neil J. Cornish , Nicolás Yunes

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

Inferring the properties of colliding black holes from gravitational-wave observations is subject to systematic errors arising from modelling uncertainties. Although the accuracy of each model can be calculated through comparison to…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Charlie Hoy , Sarp Akcay , Jake Mac Uilliam , Jonathan E. Thompson

Nested sampling has emerged as a valuable tool for Bayesian analysis, in particular for determining the Bayesian evidence. The method is based on a specific type of random sampling of the likelihood function and prior volume of the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Charles R. Keeton

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

The increasing sensitivity of current and upcoming gravitational-wave (GW) detectors poses stringent requirements on the accuracy of the GW models used for data analysis. If these requirements are not met, systematic errors could dominate…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Lorenzo Pompili , Alessandra Buonanno , Michael Pürrer

Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

In the coming years, third-generation detectors such as Einstein Telescope and Cosmic Explorer will enter the network of ground-based gravitational-wave detectors. Their current design predicts a significantly improved sensitivity band with…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Justin Janquart , Tomasz Baka , Anuradha Samajdar , Tim Dietrich , Chris Van Den Broeck

Recently, global pulsar timing arrays have released results from searching for a nano-Hertz gravitational wave background signal. Although there has not been any definite evidence of the presence of such a signal in residuals of pulsar…

General Relativity and Quantum Cosmology · Physics 2022-10-12 A. Samajdar , G. Shaifullah , A. Sesana , J. Antoniadis , M. Burgay , D. J. Champion , S. Chen , M. Kramer , J. W. McKee , M. B. Mickaliger , E. Van der Wateren

We introduce a technique to enhance the reliability of gravitational wave parameter estimation results produced by machine learning. We develop two independent machine learning models based on the Vision Transformer to estimate effective…

Instrumentation and Methods for Astrophysics · Physics 2025-10-15 Hibiki Iwanaga , Mahoro Matsuyama , Yousuke Itoh

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

Inferring parameters and testing hypotheses from gravitational wave signals is a computationally intensive task central to modern astrophysics. Nested sampling, a Bayesian inference technique, has become an established standard for this in…

Instrumentation and Methods for Astrophysics · Physics 2025-09-30 David Yallup , Metha Prathaban , James Alvey , Will Handley

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
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