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This paper presents an algorithm for constructing matched-filter template banks in an arbitrary parameter space. The method places templates at random, then removes those which are "too close" together. The properties and optimality of…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Ian Harry , Bruce Allen , B. S. Sathyaprakash

Gravitational waves from inspiralling binaries are expected to be detected using a data analysis technique known as {\it matched filtering.} This technique is applicable whenever the form of the signal is known accurately. Though we know…

General Relativity and Quantum Cosmology · Physics 2010-01-06 B. S. Sathyaprakash

One strategy for reducing the online computational cost of matched-filter searches for gravitational waves is to introduce a compressed basis for the waveform template bank in a grid-based search. In this paper, we propose and investigate…

Instrumentation and Methods for Astrophysics · Physics 2016-06-03 Alvin J. K. Chua , Jonathan R. Gair

Matched-filtering gravitational wave search pipelines identify gravitational wave signals by computing correlations, i.e., signal-to-noise ratios, between gravitational wave detector data and gravitational wave template waveforms. Intrinsic…

Modeled searches of gravitational wave signals from compact binary mergers rely on template waveforms determined by the theory of general relativity (GR). Once a signal is detected, one generally performs the model agnostic test of GR,…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Abhishek Sharma , Soumen Roy , Anand S. Sengupta

In the search for binary systems inspiral signal in interferometric gravitational waves detectors, one needs the generation and placement of a grid of templates. We present an original technique for the placement in the associated parameter…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Beauville , D. Buskulic , R. Flaminio , R. Gouaty , D. Grosjean , F. Marion , B. Mours , E. Tournefier , D. Verkindt , M. Yvert

Inspiraling compact binaries are promising sources of gravitational waves for ground and space-based laser interferometric detectors. The time-dependent signature of these sources in the detectors is a well-characterized function of a…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Mitra , S. V. Dhurandhar , L. S. Finn

An important task when processing sensor data is to distinguish relevant from irrelevant data. This paper describes a method for an iterative singular value decomposition that maintains a model of the background via singular vectors…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Günther Reitberger , Tomas Sauer

Matched filtering is used to search for gravitational waves emitted by inspiralling compact binaries in data from ground-based interferometers. One of the key aspects of the detection process is the deployment of a set of templates, also…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Cokelaer

The Singular Value Decomposition is a matrix decomposition technique widely used in the analysis of multivariate data, such as complex space-time images obtained in both physical and biological systems. In this paper, we examine the…

Statistical Mechanics · Physics 2009-09-25 A. M. Sengupta , P. P. Mitra

We implement an eccentric search for compact binary mergers based on particle swarm optimization. Orbital eccentricity is an invaluable input for understanding the formation scenarios of the binary mergers and can play a pivotal role in…

General Relativity and Quantum Cosmology · Physics 2024-08-14 Souradeep Pal , K Rajesh Nayak

Matched filtering is a popular data analysis framework used to search for gravitational wave signals emitted by compact object binaries. The templates used in matched filtering searches are constructed predominantly from the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2013-08-13 James Healy , Pablo Laguna , Larne Pekowsky , Deirdre Shoemaker

The final inspiral phase in the evolution of a compact binary consisting of black holes and/or neutron stars is among the most probable events that a network of ground-based interferometric gravitational wave detectors is likely to observe.…

General Relativity and Quantum Cosmology · Physics 2009-12-30 R. P. Croce , Th. Demma , V. Pierro , I. M. Pinto , D. Churches , B. S. Sathyaprakash

Concatenating matrices is a common technique for uncovering shared structures in data through singular value decomposition (SVD) and low-rank approximations. The fundamental question arises: How does the singular value spectrum of the…

Machine Learning · Computer Science 2025-07-01 Maksym Shamrai

We introduce a novel method to generate a bank of gravitational-waveform templates of binary black hole (BBH) mergers for matched-filter searches in LIGO, Virgo and Kagra data.We derive a novel expression for the metric approximation to the…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Stefano Schmidt , Bhooshan Gadre , Sarah Caudill

In comparing the behavior of an energy spectrum to the predictions of random matrix theory one must transform the spectrum such that the averaged level spacing is constant, a procedure known as unfolding. Once energy spectrums belong to an…

Disordered Systems and Neural Networks · Physics 2023-06-14 Richard Berkovits

We study the detectability of gravitational-wave signals from sub-solar mass binary neutron star systems by the current generation of ground-based gravitational-wave detectors. We find that finite size effects from large tidal…

There has been remarkable progress in numerical relativity recently. This has led to the generation of gravitational waveform signals covering what has been traditionally termed the three phases of the coalescence of a compact binary - the…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Benjamin Farr , Stephen Fairhurst , B. S. Sathyaprakash

Tremendous progress has been made towards the solution of the binary-black-hole problem in numerical relativity. The waveforms produced by numerical relativity will play a role in gravitational wave detection as either test-beds for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Birjoo Vaishnav , Ian Hinder , Frank Herrmann , Deirdre Shoemaker

Gravitational waves generated by the final merger of compact binary systems depend on the structure of the binary's members. If the binary contains neutron stars, measuring such waves can teach us about the properties of matter at extreme…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Scott A. Hughes