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Causal discovery from observational data is an important tool in many branches of science. Under certain assumptions it allows scientists to explain phenomena, predict, and make decisions. In the large sample limit, sound and complete…

Machine Learning · Statistics 2021-07-13 Shami Nisimov , Yaniv Gurwicz , Raanan Y. Rohekar , Gal Novik

Gravitational-wave signals from compact binary coalescences are most efficiently identified through matched filter searches, which match the data against a pre-generated bank of gravitational-wave templates. Although different techniques…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Connor McIsaac , Charlie Hoy , Ian Harry

We describe an efficient method of matched filtering over long (greater than 1 day) time baselines starting from Fourier transforms of short durations (roughly 30 minutes) of the data stream. This method plays a crucial role in the search…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. R. Williams , B. F. Schutz

This thesis presents advancements in the detection of gravitational waves from compact binary coalescences, utilising the most sensitive observatories constructed to date. The research focuses on enhancing gravitational-wave signal searches…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Arthur Tolley

The recent Nobel-prize-winning detections of gravitational waves from merging black holes and the subsequent detection of the collision of two neutron stars in coincidence with electromagnetic observations have inaugurated a new era of…

General Relativity and Quantum Cosmology · Physics 2017-12-13 Daniel George , E. A. Huerta

Searches for gravitational-wave signals are often based on maximizing a detection statistic over a bank of waveform templates, covering a given parameter space with a variable level of correlation. Results are often evaluated using a…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Rodrigo Tenorio , Luana M. Modafferi , David Keitel , Alicia M. Sintes

The first generation of gravitational wave interferometric detectors has taken data at, or close to, their design sensitivity. This data has been searched for a broad range of gravitational wave signatures. An overview of gravitational wave…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Stephen Fairhurst , Gianluca M Guidi , Patrice Hello , John T Whelan , Graham Woan

The present operation of the ground-based network of gravitational-wave laser interferometers in "enhanced" configuration brings the search for gravitational waves into a regime where detection is highly plausible. The development of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 John Veitch , Alberto Vecchio

Time series measured from real-world systems are generally noisy, complex and display statistical properties that evolve continuously over time. Here, we present a method that combines wavelet analysis and non-stationary surrogates to…

Data Analysis, Statistics and Probability · Physics 2018-04-12 Mario Chavez , Bernard Cazelles

Pulsar timing experiments are reaching sufficient sensitivity to detect a postulated stochastic gravitational wave background generated by merging supermassive black hole systems in the cores of galaxies. We describe the techniques behind…

Astrophysics · Physics 2009-06-23 G. Hobbs

In a recent paper we described a novel approach to the detection and parameter estimation of a non-Gaussian stochastic background of gravitational waves. In this work we propose an improved version of the detection procedure, preserving…

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

The sensitivities of ground-based gravitational-wave (GW) detectors are limited by quantum shot noise at a few hundred Hertz and above. Nonetheless, one can use a quantum-correlation technique proposed by Martynov, et al. [Phys. Rev. A 95,…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Hang Yu , Denis Martynov , Rana X Adhikari , Yanbei Chen

Accurately estimating the statistical properties of noise is important in data analysis for space-based gravitational wave detectors. Noise in different time-delay interferometry channels correlates with each other. Many studies often…

Instrumentation and Methods for Astrophysics · Physics 2025-06-18 Ya-Nan Li , Yi-Ming Hu , En-Kun Li

Signal detection in environments with unknown signal bandwidth and time intervals is a fundamental problem in adversarial and spectrum-sharing scenarios. This paper addresses the problem of detecting signals occupying unknown degrees of…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Ali Rasteh , Sundeep Rangan

Existing coherent network analysis techniques for detecting gravitational-wave bursts simultaneously test data from multiple observatories for consistency with the expected properties of the signals. These techniques assume the output of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Shourov Chatterji , Albert Lazzarini , Leo Stein , Patrick Sutton , Antony Searle , Massimo Tinto

A pulsar timing array is a Galactic-scale detector of nanohertz gravitational waves (GWs). Its target signals contain two components: the `Earth term' and the `pulsar term' corresponding to GWs incident on the Earth and pulsar respectively.…

Instrumentation and Methods for Astrophysics · Physics 2016-07-06 Xingjiang Zhu , Linqing Wen , Jie Xiong , Yanjun Xu , Yan Wang , Soumya D. Mohanty , George Hobbs , Richard N. Manchester

In the era of second generation ground-based gravitational wave detectors, short gamma-ray bursts (GRBs) will be among the most promising astrophysical events for joint electromagnetic and gravitational wave observation. A targeted search…

General Relativity and Quantum Cosmology · Physics 2014-12-31 A. R. Williamson , C. Biwer , S. Fairhurst , I. W. Harry , E. Macdonald , D. Macleod , V. Predoi

We present theory and algorithms to perform an all-sky coherent search for periodic signals of gravitational waves in narrow-band data of a detector. Our search is based on a statistic, commonly called the $\mathcal{F}$-statistic, derived…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Pia Astone , Kazimierz M. Borkowski , Piotr Jaranowski , Andrzej Królak , Maciej Pietka

We consider an anisotropic search for the stochastic gravitational-wave (GW) background by decomposing the gravitational-wave sky into its spherical harmonics components. Previous analyses have used the diffraction limit to define the…

Instrumentation and Methods for Astrophysics · Physics 2022-07-20 Erik Floden , Vuk Mandic , Andrew Matas , Leo Tsukada

We pursue a novel strategy towards a first detection of continuous gravitational waves from rapidly-rotating deformed neutron stars. Computational power is focused on a narrow region of signal parameter space selected by a…

General Relativity and Quantum Cosmology · Physics 2022-03-21 Karl Wette , Liam Dunn , Patrick Clearwater , Andrew Melatos