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Central to the gravitational wave detection problem is the challenge of separating features in the data produced by astrophysical sources from features produced by the detector. Matched filtering provides an optimal solution for Gaussian…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Tyson B. Littenberg , Neil J. Cornish

Many searches for continuous gravitational waves face significant computational challenges due to the need to explore large parameter spaces characterized by unknown parameters. Parameter-space metrics are used to predict the relative loss…

General Relativity and Quantum Cosmology · Physics 2026-05-18 P. B. Covas , R. Prix

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

We present a method for assigning a statistical significance to detection candidates in targeted searches for continuous gravitational waves from known pulsars, without assuming the detector noise is Gaussian and stationary. We take…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Maximiliano Isi , Simone Mastrogiovanni , Matthew Pitkin , Ornella Juliana Piccinni

The paper presents a statistical model which reproduces the results of Monte Carlo simulations to estimate the parameters of the gravitational wave signal from a coalesing binary system. The model however is quite general and would be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Balasubramanian , S. V. Dhurandhar

It is expected that gravitational waves, similar to electromagnetic waves, can be gravitationally lensed by intervening matters, producing multiple instances of the same signal arriving at different times from different apparent luminosity…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Rico K. L. Lo , Ignacio Magana Hernandez

We describe several new techniques which accelerate Bayesian searches for continuous gravitational-wave emission from supermassive black-hole binaries using pulsar timing arrays. These techniques mitigate the problematic increase of…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Stephen Taylor , Justin Ellis , Jonathan Gair

Variational Bayesian Inference is a popular methodology for approximating posterior distributions over Bayesian neural network weights. Recent work developing this class of methods has explored ever richer parameterizations of the…

With the advance in computational resources, Bayesian inference is increasingly becoming the standard tool of practise in GW astronomy. However, algorithms such as Markov Chain Monte Carlo (MCMC) require a large number of iterations to…

General Relativity and Quantum Cosmology · Physics 2014-11-04 Edward K. Porter

Gravitational wave burst is a catch-all category for signals whose durations are shorter than the observation period. We apply a method new to gravitational wave data analysis --- Bayesian non-parameterics --- to the problem of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Xihao Deng

We formulate the data analysis problem for the detection of the Newtonian coalescing-binary signal by a network of laser interferometric gravitational wave detectors that have arbitrary orientations, but are located at the same site. We use…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Sukanta Bose , Sanjeev V. Dhurandhar , Archana Pai

A common technique for detection of gravitational-wave signals is searching for excess power in frequency-time maps of gravitational-wave detector data. In the event of a detection, model selection and parameter estimation will be performed…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Coughlin , Nelson Christensen , Jonathan Gair , Shivaraj Kandhasamy , Eric Thrane

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

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 , .

We present a theoretical background for the data analysis of the gravitational-wave signals from spinning neutron stars for Earth-based laser interferometric detectors. We introduce a detailed model of the signal including both the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Piotr Jaranowski , Andrzej Królak , Bernard F. Schutz

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

In this work we derive two computationally efficient frequentist detection statistics that can be used in searches for gravitational-wave bursts with memory in pulsar timing data. By maximizing the likelihood ratio in two different ways we…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Jerry P. Sun , Xavier Siemens , Dustin R. Madison

Pulsar timing arrays recently found evidence for a gravitational wave background (GWB), likely the stochastic overlap of GWs from many supermassive black hole binaries. Anticipating a continuous gravitational wave (CW) detection from a…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-08 Emiko C. Gardiner , Bence Bécsy , Luke Zoltan Kelley , Neil J. Cornish

Gravitational-wave analyses depend heavily on waveforms that model the evolution of compact binary coalescences as seen by observing detectors. In many cases these waveforms are given by waveform approximants, models that approximate the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Quirijn Meijer , Sarah Caudill

We present a general framework for incorporating astrophysical information into Bayesian parameter estimation techniques used by gravitational wave data analysis to facilitate multi-messenger astronomy. Since the progenitors of transient…

High Energy Astrophysical Phenomena · Physics 2014-10-14 XiLong Fan , Christopher Messenger , Ik Siong Heng