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Strong lensing of gravitational waves can produce several detectable images as repeated events in the upcoming observing runs, which can be detected with the posterior overlap analysis (Bayes factor). The choice of the binary black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Damon H. T. Cheung , Stefano Rinaldi , Martina Toscani , Otto A. Hannuksela

The inspiral and merger of two orbiting black holes is among the most promising sources for the first (hopefully imminent) direct detection of gravitational waves (GWs), and measurements of these signals could provide a wealth of…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Mark Hannam

In this paper we discuss a new strategy for the detection of gravitational radiation likely emitted by cosmological gamma ray burst. Robust and conservative estimates lead to the conclusion that the uncorrelated superimposition of bursts of…

Astrophysics · Physics 2009-11-07 Giulio Auriemma

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

We study the problem of non-Bayesian social learning with uncertain models, in which a network of agents seek to cooperatively identify the state of the world based on a sequence of observed signals. In contrast with the existing…

Optimization and Control · Mathematics 2019-09-11 César A. Uribe , James Z. Hare , Lance Kaplan , Ali Jadbabaie

One of the most interesting predictions of string-inspired cosmological models is the presence of a stochastic background of relic gravitational waves in the frequency band accessible to Earth-based detectors. Here we consider a ``minimal''…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Ungarelli , A. Vecchio

Pulsar Timing Array projects have found evidence of a stochastic background of gravitational waves (GWB) using data from an ensemble of pulsars. In the literature, minimal assumptions are made about the signal and noise processes that…

Instrumentation and Methods for Astrophysics · Physics 2024-11-28 Rutger van Haasteren

Understanding the properties of transient gravitational waves and their sources is of broad interest in physics and astronomy. Bayesian inference is the standard framework for astro-physical measurement in transient gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Rory Smith , Gregory Ashton , Avi Vajpeyi , Colm Talbot

We derive a Bayesian criterion for assessing whether signals observed in two separate data sets originate from a common source. The Bayes factor for a common vs. unrelated origin of signals includes an overlap integral of the posterior…

High Energy Astrophysical Phenomena · Physics 2018-06-13 Gregory Ashton , Eric Burns , Tito Dal Canton , Thomas Dent , Heinz-Bernd Eggenstein , Alex B. Nielsen , Reinhard Prix , Michal Was , Sylvia J. Zhu

The Laser Interferometer Space Antenna (LISA) will open a rich discovery space in the milli-Hertz gravitational wave band. In addition to the anticipated signals from many millions of binary systems, this band may contain new and previously…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Travis Robson , Neil J. Cornish

There is a broad class of astrophysical sources that produce detectable, transient, gravitational waves. Some searches for transient gravitational waves are tailored to known features of these sources. Other searches make few assumptions…

We examine the properties of an excess power method to detect gravitational waves in interferometric detector data. This method is designed to detect short-duration (< 0.5 s) burst signals of unknown waveform, such as those from supernovae…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Warren G. Anderson , Patrick R. Brady , Jolien D. E. Creighton , Eanna E. Flanagan

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

Advancements in the sensitivity of gravitational wave detectors have increased the detection rate of transient astrophysical signals. We improve the existing BayesWave initialization algorithm and present a rapid, low latency approximate…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Sudhi Mathur , Neil J. Cornish

We describe updates and improvements to the BayesWave gravitational wave transient analysis pipeline, and provide examples of how the algorithm is used to analyze data from ground-based gravitational wave detectors. BayesWave models…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Neil J. Cornish , Tyson B. Littenberg , Bence Bécsy , Katerina Chatziioannou , James A. Clark , Sudarshan Ghonge , Margaret Millhouse

Robust Bayesian inference is the calculation of posterior probability bounds given perturbations in a probabilistic model. This paper focuses on perturbations that can be expressed locally in Bayesian networks through convex sets of…

Artificial Intelligence · Computer Science 2013-02-08 Fabio Gagliardi Cozman

Modelling noise in gravitational-wave observatories is crucial for accurately inferring the properties of gravitational-wave sources. We introduce a transdimensional Bayesian approach to characterise the noise in ground-based…

Instrumentation and Methods for Astrophysics · Physics 2025-03-10 Nir Guttman , Paul D. Lasky , Eric Thrane

The tilted-wave interferometer is a promising technique for the development of a reference measurement system for the highly accurate form measurement of aspheres and freeform surfaces. The technique combines interferometric measurements,…

While gravitational waves have not yet been measured directly, data analysis from detection experiments commonly includes an upper limit statement. Such upper limits may be derived via a frequentist or Bayesian approach; the theoretical…

Data Analysis, Statistics and Probability · Physics 2015-03-19 Christian Röver , Chris Messenger , Reinhard Prix

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
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