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In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

Information Theory · Computer Science 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

Many traditional algorithms applied in gravitational-wave astronomy rely on the assumption of Gaussian noise, a condition not always met. To meet this need, this study extends a robust statistical framework, advancing previous work on…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Argyro Sasli , Minas Karamanis , Nikolaos Karnesis , Michael W. Coughlin , Vuk Mandic , Uroš Seljak , Nikolaos Stergioulas

Finding and characterizing gravitational waves from individual supermassive black hole binaries is a central goal of pulsar timing array experiments, which will require analysis methods that can be efficient on our rapidly growing datasets.…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Bence Bécsy

Advanced LIGO and Advanced Virgo ground-based interferometers are instruments capable to detect gravitational wave signals exploiting advanced laser interferometry techniques. The underlying data analysis task consists in identifying…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Francesco Pio Barone , Daniele Dell'Aquila , Marco Russo

We present a Fisher information matrix study of the parameter estimation precision achievable by a class of future space-based, "mid-band", gravitational wave (GW) interferometers observing monochromatic signals. The mid-band is the…

General Relativity and Quantum Cosmology · Physics 2025-04-09 Manoel Felipe Sousa , Tabata Aira Ferreira , Massimo Tinto

The Laser Interferometer Space Antenna (LISA) is expected to simultaneously detect many thousands of low frequency gravitational wave signals. This presents a data analysis challenge that is very different to the one encountered in ground…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Neil J. Cornish , Jeff Crowder

Denoising of time domain data is a crucial task for many applications such as communication, translation, virtual assistants etc. For this task, a combination of a recurrent neural net (RNNs) with a Denoising Auto-Encoder (DAEs) has shown…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-27 Hongyu Shen , Daniel George , E. A. Huerta , Zhizhen Zhao

Entanglement plays a crucial role in quantum physics and is the key resource in quantum information processing. However, entanglement detection and quantification are believed to be hard due to the operational impracticality of existing…

Quantum Physics · Physics 2023-11-01 Ranyiliu Chen , Benchi Zhao , Xin Wang

In this paper we offer a review and bibliography of work on Hankel low-rank approximation and completion, with particular emphasis on how this methodology can be used for time series analysis and forecasting. We begin by describing possible…

Numerical Analysis · Mathematics 2022-06-13 Jonathan Gillard , Konstantin Usevich

We study the $\ell_1$-low rank approximation problem, where for a given $n \times d$ matrix $A$ and approximation factor $\alpha \geq 1$, the goal is to output a rank-$k$ matrix $\widehat{A}$ for which $$\|A-\widehat{A}\|_1 \leq \alpha…

Data Structures and Algorithms · Computer Science 2020-04-17 Zhao Song , David P. Woodruff , Peilin Zhong

The search for Galactic binary gravitational waves is a critical challenge for future space-based gravitational wave detectors, such as LISA. We propose an innovative approach to simultaneously explore gravitational waves originating from…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Pin Gao , Xilong Fan , Zhoujian Cao

We construct the catalogues of standard sirens (StS) based on the future gravitational wave (GW) detector networks, i.e., the second-generation ground-based advanced LIGO+advanced Virgo+KAGRA+LIGO-India (HLVKI), the third-generation…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-19 Tao Yang

The inspirals of stellar-mass compact objects into supermassive black holes are some of the most exciting sources of gravitational waves for LISA. Detection of these sources using fully coherent matched filtering is computationally…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Linqing Wen , Yanbei Chen , Jonathan Gair

Advancements in the sensitivity of gravitational wave detectors have increased the detection rate of transient astrophysical signals. We improve the existing BayesWave initialization algorithm and present a rapid, low latency approximate…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Sudhi Mathur , Neil J. Cornish

We consider the problem of learning a low-rank matrix, constrained to lie in a linear subspace, and introduce a novel factorization for modeling such matrices. A salient feature of the proposed factorization scheme is it decouples the…

Machine Learning · Statistics 2018-06-18 Pratik Jawanpuria , Bamdev Mishra

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

Gravitational wave (GW) detectors, such as LIGO, Virgo, and KAGRA, detect faint signals from distant astrophysical events. However, their high sensitivity also makes them susceptible to background noise, which can obscure these signals.…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Tom Dooney , Harsh Narola , Stefano Bromuri , R. Lyana Curier , Chris Van Den Broeck , Sarah Caudill , Daniel Stanley Tan

We examine the accuracy of estimation of parameters of the gravitational-wave signals from spinning neutron stars that can be achieved from observations by Earth-based laser interferometers. We consider a model of the signal consisting of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Piotr Jaranowski , Andrzej Królak

Unlike ground-based gravitational wave detectors, space-based gravitational wave detectors can detect the ringdown signals from massive black hole mergers with large signal-to-noise ratios, help to localize sources and extract their…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Chunyu Zhang , Yungui Gong , Chao Zhang

In the process of realizing the synthesis of the antenna array synthesis, it is of practical significance to arrange the nonuniform array and reduce the number of elements. According to the Matrix Pencil Method (MPM), we proposed an…

Signal Processing · Electrical Eng. & Systems 2022-09-13 Xuejing Zhang