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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…

We present a python based parameter inference system for the gravitational wave (GW) measured in the millihertz band. This system includes the following features: the GW waveform originated from the massive black hole binaries (MBHB), the…

Instrumentation and Methods for Astrophysics · Physics 2023-07-05 Renjie Wang , Bin Hu

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

Significant human and observational resources have been dedicated to electromagnetic followup of gravitational-wave events detected by Advanced LIGO and Virgo. As the sensitivity of LIGO and Virgo improves, the rate of sources detected will…

Instrumentation and Methods for Astrophysics · Physics 2020-12-16 Daniel Finstad , Duncan A. Brown

Parameter estimation on gravitational wave signals from compact binary coalescence (CBC) requires the evaluation of computationally intensive waveform models, typically the bottleneck in the analysis. This cost will increase further as low…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Serena Vinciguerra , John Veitch , Ilya Mandel

Gravitational-wave astronomy of compact binaries relies on theoretical models of the gravitational-wave signal that is emitted as binaries coalesce. These models do not only need to be accurate, they also have to be fast to evaluate in…

Instrumentation and Methods for Astrophysics · Physics 2020-03-04 Yoshinta Setyawati , Michael Pürrer , Frank Ohme

Gravitational-wave (GW) parameter estimation typically assumes that instrumental noise is Gaussian and stationary. Obvious departures from this idealization are typically handled on a case-by-case basis, e.g., through bespoke procedures to…

Instrumentation and Methods for Astrophysics · Physics 2026-04-15 Ronan Legin , Maximiliano Isi , Kaze W. K. Wong , Yashar Hezaveh , Laurence Perreault-Levasseur

A general method is presented for estimating the uncertainty in hybrid models of gravitational waveforms from binary black-hole systems with arbitrary physical parameters, and thence the highest allowable initial orbital frequency for a…

General Relativity and Quantum Cosmology · Physics 2011-10-10 Michael Boyle

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

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

Future ground-based and space-borne interferometric gravitational-wave detectors may capture between tens and thousands of binary coalescence events per year. There is a significant and growing body of work on the estimation of…

High Energy Astrophysical Phenomena · Physics 2010-04-23 Ilya Mandel

Parameterized optimization and parameter estimation is of great importance in almost every branch of modern science, technology and engineering. A practical issue in the problem is that when the parameter space is large and the available…

General Relativity and Quantum Cosmology · Physics 2014-02-26 Yan Wang

Gravitational-wave data analysis is rapidly absorbing techniques from deep learning, with a focus on convolutional networks and related methods that treat noisy time series as images. We pursue an alternative approach, in which waveforms…

Instrumentation and Methods for Astrophysics · Physics 2019-05-31 Alvin J. K. Chua , Chad R. Galley , Michele Vallisneri

Inferring astrophysical information from gravitational waves emitted by compact binaries is one of the key science goals of gravitational-wave astronomy. In order to reach the full scientific potential of gravitational-wave experiments we…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Rory Smith , Scott E. Field , Kent Blackburn , Carl-Johan Haster , Michael Pürrer , Vivien Raymond , Patricia Schmidt

We describe an implementation of the relative binning technique to speed up parameter estimation of gravitational-wave signals. We first give a pedagogical overview of relative binning, discussing also the expressions for the likelihood…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Kruthi Krishna , Aditya Vijaykumar , Apratim Ganguly , Colm Talbot , Sylvia Biscoveanu , Richard N George , Natalie Williams , Aaron Zimmerman

In order to extract information about the properties of compact binaries, we must estimate the noise power spectral density of gravitational-wave data, which depends on the properties of the gravitational-wave detector. In practice, it is…

Instrumentation and Methods for Astrophysics · Physics 2020-06-18 Colm Talbot , Eric Thrane

We quantify the advantages of a recently proposed data processing technique to search for continuous gravitational wave (GW) signals from isolated rotating asymmetric neutron stars in data measured by ground-based GW interferometers. This…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Harshit Raj , Sanjeev Dhurandhar , Massimo Tinto

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

Faster likelihood evaluation enhances the efficiency of gravitational wave signal analysis. We present Mode-by-mode Relative Binning (MRB), a new method designed for obtaining fast and accurate likelihoods for advanced waveform models that…

Instrumentation and Methods for Astrophysics · Physics 2022-01-05 Nathaniel Leslie , Liang Dai , Geraint Pratten

Many traditional algorithms applied in gravitational-wave astronomy rely on the assumption of Gaussian noise, a condition not always met. To meet this need, this study extends a robust statistical framework, advancing previous work on…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Argyro Sasli , Minas Karamanis , Nikolaos Karnesis , Michael W. Coughlin , Vuk Mandic , Uroš Seljak , Nikolaos Stergioulas