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We investigate the Bayesian framework for detection of continuous gravitational waves (GWs) in the context of targeted searches, where the phase evolution of the GW signal is assumed to be known, while the four amplitude parameters are…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Reinhard Prix , Badri Krishnan

Estimating the source parameters of gravitational waves from compact binary coalescence(CBC) is a key analysis task in gravitational-wave astronomy. To deal with the increasing detection rate of CBC signals, optimizing the parameter…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Eunsub Lee , Soichiro Morisaki , Hideyuki Tagoshi

We develop a set of data analysis tools for a realistic all-sky search for continuous gravitational-wave signals. The methods that we present apply to data from both the resonant bar detectors that are currently in operation and the laser…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Pia Astone , Kazimierz M. Borkowski , Piotr Jaranowski , Andrzej Królak

This paper considers a new method for the binary asteroid orbit determination problem. The method is based on the Bayesian approach with a global optimisation algorithm. The orbital parameters to be determined are modelled through an a…

Instrumentation and Methods for Astrophysics · Physics 2017-08-31 Irina D. Kovalenko , Radu S. Stoica , Nikolay V. Emelyanov

Data assimilation leads naturally to a Bayesian formulation in which the posterior probability distribution of the system state, given the observations, plays a central conceptual role. The aim of this paper is to use this Bayesian…

Data Analysis, Statistics and Probability · Physics 2013-01-01 K. J. H. Law , A. M. Stuart

Deep learning techniques for gravitational-wave parameter estimation have emerged as a fast alternative to standard samplers $\unicode{x2013}$ producing results of comparable accuracy. These approaches (e.g., DINGO) enable amortized…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Jonas Wildberger , Maximilian Dax , Stephen R. Green , Jonathan Gair , Michael Pürrer , Jakob H. Macke , Alessandra Buonanno , Bernhard Schölkopf

Supermassive black hole binaries are one of the primary targets for gravitational wave searches using pulsar timing arrays. Gravitational wave signals from such systems are well represented by parametrized models, allowing the standard…

Instrumentation and Methods for Astrophysics · Physics 2016-01-25 Yan Wang , Soumya D. Mohanty , Fredrick A. Jenet

The directions of arrival (DOA) of plane waves are estimated from multi-snapshot sensor array data using Sparse Bayesian Learning (SBL). The prior source amplitudes is assumed independent zero-mean complex Gaussian distributed with…

Statistics Theory · Mathematics 2016-09-21 Peter Gerstoft , Christoph F. Mecklenbräuker , Angeliki Xenaki

Targeted searches of continuous waves from spinning neutron stars normally assume that the frequency of the gravitational wave signal is at a given known ratio with respect to the rotational frequency of the source, e.g. twice for an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Pia Astone , Alberto Colla , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba , Roberto Serafinelli

Sample efficiency is one of the key factors when applying policy search to real-world problems. In recent years, Bayesian Optimization (BO) has become prominent in the field of robotics due to its sample efficiency and little prior…

Robotics · Computer Science 2020-11-19 Lukas P. Fröhlich , Melanie N. Zeilinger , Edgar D. Klenske

Rapidly-rotating neutron stars are the only candidates for persistent high-frequency gravitational wave emission, for which a targeted search can be performed based on the spin period measured from electromagnetic (e.g. radio and X-ray)…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Duncan Galloway , Sammanani Premachandra , Danny Steeghs , Tom Marsh , Jorge Casares , Rémon Cornelisse

Bayesian optimization (BO) is a global optimization strategy designed to find the minimum of an expensive black-box function, typically defined on a compact subset of $\mathcal{R}^d$, by using a Gaussian process (GP) as a surrogate model…

Machine Learning · Statistics 2018-09-24 Eero Siivola , Aki Vehtari , Jarno Vanhatalo , Javier González , Michael Riis Andersen

The detection of nanoHertz gravitational waves through pulsar timing arrays hinges on identifying a common stochastic process affecting all pulsars in a correlated way across the sky. In the presence of other deterministic and stochastic…

High Energy Astrophysical Phenomena · Physics 2024-02-14 Patrick M. Meyers , Katerina Chatziioannou , Michele Vallisneri , Alvin J. K. Chua

I explore the possibility of resurrecting an old, non-Bayesian computational approach for inferring the source direction of a gravitational wave from the output of a two-detector network. The method gives the beam pattern response functions…

Instrumentation and Methods for Astrophysics · Physics 2018-05-04 Tom McClain

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

Efficient parameter estimation is critical for Gravitational-Wave astronomy. In the case of compact binary coalescence, the high dimensional parameter space demands efficient sampling techniques - such as Markov chain Monte Carlo (MCMC). A…

General Relativity and Quantum Cosmology · Physics 2014-02-04 V. Raymond , W. M. Farr

Gravitational waves from compact binaries measured by the LIGO and Virgo detectors are routinely analyzed using Markov Chain Monte Carlo sampling algorithms. Because the evaluation of the likelihood function requires evaluating millions of…

Instrumentation and Methods for Astrophysics · Physics 2020-12-23 Arnaud Delaunoy , Antoine Wehenkel , Tanja Hinderer , Samaya Nissanke , Christoph Weniger , Andrew R. Williamson , Gilles Louppe

When looking for gravitational wave signals from known pulsars, targets have been treated using independent searches. Here we use a hierarchical Bayesian framework to combine observations from individual sources for two purposes: to produce…

Instrumentation and Methods for Astrophysics · Physics 2018-09-12 M. Pitkin , C. Messenger , X. Fan

Accurate determination of gravitational wave source parameters relies on transforming between the source and detector frames. All-sky searches for continuous wave sources are computationally expensive, in part, because of barycentering…

Instrumentation and Methods for Astrophysics · Physics 2019-02-13 Orion Sauter , Vladimir Dergachev , Keith Riles

Through sequential construction of posteriors on observing data online, Bayes' theorem provides a natural framework for continual learning. We develop Variational Auto-Regressive Gaussian Processes (VAR-GPs), a principled posterior updating…

Machine Learning · Statistics 2021-06-15 Sanyam Kapoor , Theofanis Karaletsos , Thang D. Bui
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