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Gravitational waves from the merger of two neutron stars cannot be easily distinguished from those produced by a comparable-mass mixed binary in which one of the companions is a black hole. Low-mass black holes are interesting because they…

High Energy Astrophysical Phenomena · Physics 2020-07-29 Margherita Fasano , Kaze W. K. Wong , Andrea Maselli , Emanuele Berti , Valeria Ferrari , Bangalore S. Sathyaprakash

Low-density parity-check (LDPC) convolutional codes (or spatially-coupled codes) were recently shown to approach capacity on the binary erasure channel (BEC) and binary-input memoryless symmetric channels. The mechanism behind this…

Information Theory · Computer Science 2016-11-17 Arvind Yedla , Yung-Yih Jian , Phong S. Nguyen , Henry D. Pfister

In this job we have introduced a filtered adaptive technique that allows highlighting selective seismic events according to its polarization. This technique consists in the implementation of a polarizing filter based on the Single Value…

Geophysics · Physics 2013-11-18 Luque Rubén , Hurtado Nuri y Ovalles Asdrúbal

Roughly every 2-10 minutes, a pair of stellar mass black holes merge somewhere in the Universe. A small fraction of these mergers are detected as individually resolvable gravitational-wave events by advanced detectors such as LIGO and…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Rory Smith , Eric Thrane

We exploit the truncated singular value decomposition and the recently proposed circulant decomposition for an efficient first-order approximation of the multiplication of large dense matrices. A decomposition of each matrix into a sum of a…

Numerical Analysis · Mathematics 2026-04-27 Suvendu Kar , Hariprasad M. , Sai Gowri J. N. , Murugesan Venkatapathi

Compact binary coalescences are a promising source of gravitational waves for second-generation interferometric gravitational-wave detectors. Although matched filtering is the optimal search method for well-modeled systems, alternative…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Michael Coughlin , Eric Thrane , Nelson Christensen

Gravitational-wave signals from black-hole binaries with non-precessing spins are described by four parameters -- each black hole's mass and spin. It has been shown that the dominant spin effects can be modeled by a \emph{single} spin…

General Relativity and Quantum Cosmology · Physics 2013-09-11 Michael Pürrer , Mark Hannam , P. Ajith , Sascha Husa

We consider the dynamics of message passing for spatially coupled codes and, in particular, the set of density evolution equations that tracks the profile of decoding errors along the spatial direction of coupling. It is known that, for…

Information Theory · Computer Science 2017-01-17 Rafah El-Khatib , Nicolas Macris

Since the initial discovery of gravitational-waves from merging black holes, the LIGO Scientific Collaboration together with Virgo and KAGRA have published 90 gravitational-wave observations of compact binary mergers in the…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Vera Del Favero

This work considers a computationally and statistically efficient parameter estimation method for a wide class of latent variable models---including Gaussian mixture models, hidden Markov models, and latent Dirichlet allocation---which…

Machine Learning · Computer Science 2014-11-17 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade , Matus Telgarsky

Fully coherent searches (over realistic ranges of parameter space and year-long observation times) for unknown sources of continuous gravitational waves are computationally prohibitive. Less expensive hierarchical searches divide the data…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Holger J. Pletsch , Bruce Allen

A mixed basis approach based on density functional theory is employed for low dimensional systems. The basis functions are taken to be plane waves for the periodic direction multiplied by B-spline polynomials in the non-periodic direction.…

Computational Physics · Physics 2015-05-20 Chung-Yuan Ren , Chen-Shiung Hsue , Yia-Chung Chang

Bayesian parameter estimation on gravitational waves from compact binary coalescences (CBCs) typically requires millions of template waveform computations at different values of the parameters describing the binary. Sampling techniques such…

High Energy Astrophysical Phenomena · Physics 2014-09-05 Rory Smith , Chad Hanna , Ilya Mandel , Alberto Vecchio

We study the performance of a multidimensional matched filter as a follow-up module of the coherent method recently developed by two of us for the detection of gravitational wave bursts by spherical resonant detectors. We have tested this…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Carlos Filipe Da Silva Costa , Stefano Foffa , Riccardo Sturani

We consider the task of lossy compression of high-dimensional vectors through quantization. We propose the approach that learns quantization parameters by minimizing the distortion of scalar products and squared distances between pairs of…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Artem Babenko , Relja Arandjelović , Victor Lempitsky

Matched-filter searches for gravitational waves from coalescing compact binaries by the LIGO Scientific Collaboration use the FINDCHIRP algorithm: an implementation of the optimal filter with innovations to account for unknown signal…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Bruce Allen , Warren G. Anderson , Patrick R. Brady , Duncan A. Brown , Jolien D. E. Creighton

Using simple, intuitive arguments, we discuss the expected accuracy with which astrophysical parameters can be extracted from an observed gravitational wave signal. The observation of a chirp like signal in the data allows for measurement…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Stephen Fairhurst , Charlie Hoy , Rhys Green , Cameron Mills , Samantha A. Usman

We introduce Contrastive Multivariate Singular Spectrum Analysis, a novel unsupervised method for dimensionality reduction and signal decomposition of time series data. By utilizing an appropriate background dataset, the method transforms a…

Machine Learning · Statistics 2018-11-01 Abdi-Hakin Dirie , Abubakar Abid , James Zou

For the last fifteen years, the limiting noise source at the low frequency end of the sensitivity window for space gravitational wave detectors has been expected to be the confusion background of overlapping galactic binary stars. Here, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ronald W. Hellings

Blind deconvolution (BD) arises in many applications. Without assumptions on the signal and the filter, BD does not admit a unique solution. In practice, subspace or sparsity assumptions have shown the ability to reduce the search space and…

Information Theory · Computer Science 2015-12-24 Yanjun Li , Kiryung Lee , Yoram Bresler