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We consider a recent scheme of gravitational wave detection using atomic interferometers as inertial sensors, and reinvestigate its configuration using the concept of sensitivity functions. We show that such configuration can suppress noise…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Biao Tang , Baocheng Zhang , Lin Zhou , Jin Wang , Mingsheng Zhan

We describe a hierarchical data analysis pipeline for coherently searching for gravitational wave (GW) signals from non-spinning compact binary coalescences (CBCs) in the data of multiple earth-based detectors. It assumes no prior…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Sukanta Bose , Thilina Dayanga , Shaon Ghosh , Dipongkar Talukder

One of the key challenges of real-time detection and parameter estimation of gravitational waves from compact binary mergers is the computational cost of conventional matched-filtering and Bayesian inference approaches. In particular, the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-30 Plamen G. Krastev , Kiranjyot Gill , V. Ashley Villar , Edo Berger

We study the problem of learning disentangled signals from data using non-linear Independent Component Analysis (ICA). Motivated by advances in self-supervised learning, we propose to learn self-sufficient signals: A recovered signal should…

Machine Learning · Statistics 2025-12-02 Song Liu

Uninterruptible power supply is the main motive of power utility companies that motivate them for identifying and locating the different types of faults as quickly as possible to protect the power system prevent complete power black outs…

Systems and Control · Computer Science 2016-09-29 P. K. Ray , B. K. Panigrahi , P. K. Rout , A. Mohanty , H. Dubey

We consider the framework of Independent Component Analysis (ICA) for the case where the independent sources and their linear mixtures all reside in a Galois field of prime order P. Similarities and differences from the classical ICA…

Information Theory · Computer Science 2010-07-14 Arie Yeredor

The phenomenon of Gravitational Wave (GW) analysis has grown in popularity as technology has advanced and the process of observing gravitational waves has become more precise. Although the sensitivity and the frequency of observation of GW…

Machine Learning · Computer Science 2023-11-07 Elena-Simona Apostol , Ciprian-Octavian Truică

High-dimensional data often exhibit dependencies among variables that violate the isotropic-noise assumption under which principal component analysis (PCA) is optimal. For cases where the noise is not independent and identically distributed…

Machine Learning · Computer Science 2026-01-16 Antonio Briola , Marwin Schmidt , Fabio Caccioli , Carlos Ros Perez , James Singleton , Christian Michler , Tomaso Aste

Correlated magnetic noise from Schumann resonances threatens to contaminate the observation of a stochastic gravitational-wave background in interferometric detectors. In previous work, we reported on the first effort to eliminate global…

Recovering linear subspaces from data is a fundamental and important task in statistics and machine learning. Motivated by heterogeneity in Federated Learning settings, we study a basic formulation of this problem: the principal component…

Machine Learning · Computer Science 2022-10-26 John Duchi , Vitaly Feldman , Lunjia Hu , Kunal Talwar

Overlapping gravitational wave (GW) signals are expected in the third-generation (3G) GW detectors, leading to one of the major challenges in GW data analysis. Inference of overlapping GW sources is complicated - it has been reported that…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Qian Hu

We propose a new detection strategy for gravitational waves (GWs) below few Hertz based on a correlated array of atom interferometers (AIs). Our proposal allows to reduce the Newtonian Noise (NN) which limits all ground based GW detectors…

Atomic Physics · Physics 2016-01-20 W. Chaibi , R. Geiger , B. Canuel , A. Bertoldi , A. Landragin , P. Bouyer

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 method to characterize the noise in ground-based gravitational-wave observatories such as the Laser Gravitational-Wave Observatory (LIGO). This method uses linear regression algorithms such as the least absolute shrinkage and…

Instrumentation and Methods for Astrophysics · Physics 2022-12-21 Guillermo Valdes , Adam Hines , Andrea Nelson , Yanqi Zhang , Felipe Guzman

Nonlinear independent component analysis (nICA) aims at recovering statistically independent latent components that are mixed by unknown nonlinear functions. Central to nICA is the identifiability of the latent components, which had been…

Machine Learning · Computer Science 2022-06-15 Qi Lyu , Xiao Fu

Application of independent component analysis (ICA) as an unmixing and image clustering technique for high spatial resolution Raman maps is reported. A hyperspectral map of a fixed human cell was collected by a Raman micro spectrometer in a…

Quantitative Methods · Quantitative Biology 2022-01-02 M. Hamed Mozaffari , Li-Lin Tay

Spatial Independent Components Analysis (ICA) is increasingly used in the context of functional Magnetic Resonance Imaging (fMRI) to study cognition and brain pathologies. Salient features present in some of the extracted Independent…

We generalize the low-rank decomposition problem, such as principal and independent component analysis (PCA, ICA) for continuous-time vector-valued signals and provide a model-agnostic implicit neural signal representation framework to…

Machine Learning · Computer Science 2025-07-15 Shayan K. Azmoodeh , Krishna Subramani , Paris Smaragdis

Longitudinal control signals used to keep gravitational wave detectors at a stable operating point are often affected by modulations from test mass misalignments leading to an elevated noise floor ranging from 50 to 500 Hz. Nonstationary…

Independent Component Analysis (ICA) is a statistical tool that decomposes an observed random vector into components that are as statistically independent as possible. ICA over finite fields is a special case of ICA, in which both the…

Machine Learning · Statistics 2018-11-14 Amichai Painsky , Saharon Rosset , Meir Feder