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Detection and parameter inference of gravitational-wave signals \ncor{from compact mergers} rely on the comparison of the incoming detector strain data $d(t)$ to waveform templates for the gravitational-wave strain $h(t)$ that ultimately…

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

We present a Monte Carlo simulation for the response of the Laser Interferometer Space Antenna (LISA) to the galactic gravitational wave background. The simulated data streams are used to estimate the number and type of binary systems that…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Seth E. Timpano , Louis J. Rubbo , Neil J. Cornish

Here, a separation theorem about Independent Subspace Analysis (ISA), a generalization of Independent Component Analysis (ICA) is proven. According to the theorem, ISA estimation can be executed in two steps under certain conditions. In the…

Statistics Theory · Mathematics 2007-06-13 Zoltan Szabo , Barnabas Poczos , Andras Lorincz

Any search effort for gravitational waves (GW) using interferometric detectors like LIGO needs to be able to identify if and when noise is coupling into the detector's output signal. The Critical Coupling Likelihood (CCL) method has been…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Cesar A. Costa , Cristina V. Torres

In this work we study the relevance of the component separation technique based on the Independent Component Analysis (ICA) and investigate its performance in the context of a limited sky coverage observation and from the viewpoint of our…

Astrophysics · Physics 2009-11-11 Federico Stivoli , Carlo Baccigalupi , Davide Maino , Radek Stompor

Gravitational Wave (GW) data bring an exceptional avenue to test the underlying models of coalescing compact objects. In the regime of strong gravity and high curvature, they allow the exploration of minute deviations from the best-fit…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Guillaume Dideron , Suvodip Mukherjee , Luis Lehner

In independent component analysis it is assumed that the observed random variables are linear combinations of latent, mutually independent random variables called the independent components. Our model further assumes that only the…

Statistics Theory · Mathematics 2016-12-19 Joni Virta , Klaus Nordhausen , Hannu Oja

We present a new multivariate regression model for analysis and parameter estimation of gravitational waves observed from well but not perfectly modeled sources such as core-collapse supernovae. Our approach is based on a principal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 William J. Engels , Raymond Frey , Christian D. Ott

We present a comprehensive assessment of multiparameter tests of general relativity (GR) in the inspiral regime of compact binary coalescences using principal component analysis (PCA). Our analysis is based on an extensive set of simulated…

The advancement in the field of data science especially in machine learning along with vast databases of variable star projects like the Optical Gravitational Lensing Experiment (OGLE) encourages researchers to analyse as well as classify…

Solar and Stellar Astrophysics · Physics 2022-01-24 Suman Paul , Tanuka Chattopadhyay

Results from two optical-fiber gravitational-wave interferometric detectors are reported. The detector design is very small, cheap and simple to build and operate. Using two detectors has permitted various tests of the design principles as…

General Physics · Physics 2008-11-26 Reginald T Cahill , Finn Stokes

The Laser Interferometer Space Antenna (LISA) is expected to detect gravitational radiation from a large number of compact binary systems. We present a method by which these signals can be identified and have their parameters estimated. Our…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Richard Umstätter , Nelson Christensen , Martin Hendry , Renate Meyer , Vimal Simha , John Veitch , Sarah Vigeland , Graham Woan

This paper is an attempt to separate cardiac and respiratory signals from an electrical bio-impedance (EBI) dataset. For this two well-known algorithms, namely Principal Component Analysis (PCA) and Independent Component Analysis (ICA),…

Applications · Statistics 2013-07-04 Yar M. Mughal , A. Krivoshei , P. Annus

The observation of gravitational waves with a global network of interferometric detectors such as advanced LIGO, advanced Virgo, and KAGRA will make it possible to probe into the nature of space-time structure. Besides Einstein's general…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Kazuhiro Hayama , Atsushi Nishizawa

We apply both distance-based (Jin and Matteson, 2017) and kernel-based (Pfister et al., 2016) mutual dependence measures to independent component analysis (ICA), and generalize dCovICA (Matteson and Tsay, 2017) to MDMICA, minimizing…

Methodology · Statistics 2018-05-18 Ze Jin , David S. Matteson

Principal Component Analysis (PCA)-based techniques can separate data into different uncorrelated components and facilitate the statistical analysis as a pre-processing step. Independent Component Analysis (ICA) can separate statistically…

Instrumentation and Methods for Astrophysics · Physics 2023-01-03 Güray Hatipoğlu

We address the problem of noise regression in the output of gravitational-wave (GW) interferometers, using data from the physical environmental monitors (PEM). The objective of the regression analysis is to predict environmental noise in…

We discuss the coherent search strategy to detect gravitational waves from inspiraling compact binaries by a network of correlated laser interferometric detectors. From the maximum likelihood ratio statistic, we obtain a coherent statistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideyuki Tagoshi , Himan Mukhopadhyay , Sanjeev Dhurandhar , Norichika Sago , Hirotaka Takahashi , Nobuyuki Kanda

After the first direct detection of gravitational waves (GW), detection of stochastic background of GWs is an important next step, and the first GW event suggests that it is within the reach of the second-generation ground-based GW…

Instrumentation and Methods for Astrophysics · Physics 2017-07-19 Yoshiaki Himemoto , Atsushi Taruya