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We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

In future gravitational-wave (GW) detections, a large number of overlapping GW signals will appear in the data stream of detectors. When extracting information from one signal, the presence of other signals can cause large parameter…

Instrumentation and Methods for Astrophysics · Physics 2024-02-07 Ziming Wang , Dicong Liang , Junjie Zhao , Chang Liu , Lijing Shao

We introduce a "loosely coherent" method for detection of continuous gravitational waves that bridges the gap between semi-coherent and purely coherent methods. Explicit control over accepted families of signals is used to increase…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Vladimir Dergachev

We introduce a probabilistic technique for full-waveform inversion, employing variational inference and conditional normalizing flows to quantify uncertainty in migration-velocity models and its impact on imaging. Our approach integrates…

Geophysics · Physics 2024-04-16 Ziyi Yin , Rafael Orozco , Mathias Louboutin , Felix J. Herrmann

The Fisher information matrix summarizes the amount of information in a set of data relative to the quantities of interest. There are many applications of the information matrix in statistical modeling, system identification and parameter…

Computation · Statistics 2014-05-08 Xumeng Cao

A procedure with a Bayesan approach for calculating upper limits to gravitational wave bursts from coincidence experiments with multiple detectors is described.

General Relativity and Quantum Cosmology · Physics 2011-05-23 P. Astone , G. Pizzella

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

Next-generation gravitational wave (GW) experiments will explore higher frequency ranges, where GW wavelengths approach the size of the detector itself. In this regime, GWs may be detected not just through the well-known mechanical…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Lars Fischer , Tom Krokotsch , Gudrid Moortgat-Pick

The Fisher Information matrix is a widely used measure for applications ranging from statistical inference, information geometry, experiment design, to the study of criticality in biological systems. Yet there is no commonly accepted…

Computation · Statistics 2016-02-17 Omri Har Shemesh , Rick Quax , Borja Miñano , Alfons G. Hoekstra , Peter M. A. Sloot

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

Multi-messenger astronomy is of great interest. The localization speed of gravitational wave sources is important for the success of electromagnetic follow-up. Although current gravitational wave source localization methods take up to a few…

High Energy Astrophysical Phenomena · Physics 2021-03-17 Takuya Tsutsui , Kipp Cannon , Leo Tsukada

The LISA time-delay-interferometry responses to a gravitational-wave signal are rewritten in a form that accounts for the motion of the LISA constellation around the Sun; the responses are given in closed analytic forms valid for any…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Andrzej Krolak , Massimo Tinto , Michele Vallisneri

A common problem in disciplines of applied Statistics research such as Astrostatistics is of estimating the posterior distribution of relevant parameters. Typically, the likelihoods for such models are computed via expensive experiments…

Machine Learning · Statistics 2017-02-07 Kirthevasan Kandasamy , Jeff Schneider , Barnabás Póczos

For latent class models where the class weights depend on individual covariates, we derive a simple expression for computing the score vector and a convenient hybrid between the observed and the expected information matrices which is always…

Computation · Statistics 2015-11-13 Antonio Forcina

Shortly after a new class of objects is discovered, the attention shifts from the properties of the individual sources to the question of their origin: do all sources come from the same underlying population, or several populations are…

Instrumentation and Methods for Astrophysics · Physics 2026-04-07 Salvatore Vitale , Davide Gerosa , Will M. Farr , Stephen R. Taylor

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

Posterior inference on the more than a dozen parameters governing a gravitational wave (GW) event is challenging. A typical MCMC analysis can take around $100$ CPU hours, and next generation GW observatories will detect many thousands of…

Instrumentation and Methods for Astrophysics · Physics 2026-04-16 Josiel Mendonça Soares de Souza , Miguel Quartin

The detection of gravitational wave usually requires to match the measurement data with a large number of templates, which is computationally very expensive. Compressed sensing methods allow one to match the data with a small number of…

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

Estimating the diagonal entries of a matrix, that is not directly accessible but only available as a linear operator in the form of a computer routine, is a common necessity in many computational applications, especially in image…

Instrumentation and Methods for Astrophysics · Physics 2015-03-19 Marco Selig , Niels Oppermann , Torsten A. Enßlin

Partial wave analysis is a key technique in hadron spectroscopy. The use of unbinned likelihood fits on large statistics data samples and ever more complex physics models makes this analysis technique computationally very expensive.…

Data Analysis, Statistics and Probability · Physics 2011-08-31 Niklaus Berger