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With the advance in computational resources, Bayesian inference is increasingly becoming the standard tool of practise in GW astronomy. However, algorithms such as Markov Chain Monte Carlo (MCMC) require a large number of iterations to…

General Relativity and Quantum Cosmology · Physics 2014-11-04 Edward K. Porter

In this paper we consider the low-rank matrix completion problem with specific application to forecasting in time series analysis. Briefly, the low-rank matrix completion problem is the problem of imputing missing values of a matrix under a…

Methodology · Statistics 2018-02-23 Jonathan Gillard , Konstantin Usevich

We present a convolutional neural network, designed in the auto-encoder configuration that can detect and denoise astrophysical gravitational waves from merging black hole binaries, orders of magnitude faster than the conventional…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Chinthak Murali , David Lumley

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

Removing the shape noise from the observed weak lensing field, i.e., denoising, enhances the potential of WL by accessing information at small scales where the shape noise dominates without denoising. We utilise two machine learning (ML)…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-13 Shohei D. Aoyama , Ken Osato , Masato Shirasaki

A particular open problem in cosmology is whether dark matter on small scales is clumpy, forming gravitationally-bound halos distributed within the Galaxy. The practical difficulties inherent in testing this hypothesis stem from the fact…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-13 Francesca von Braun-Bates

The response of a gravitational-wave (GW) interferometer is spatially modulated and is described by two antenna patterns, one for each polarization state of the waves. The antenna patterns are derived from the shape and size of the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Andrea Virtuoso , Edoardo Milotti

The recent Nobel-prize-winning detections of gravitational waves from merging black holes and the subsequent detection of the collision of two neutron stars in coincidence with electromagnetic observations have inaugurated a new era of…

General Relativity and Quantum Cosmology · Physics 2017-12-13 Daniel George , E. A. Huerta

We present and analyze an efficient implementation of an iteratively reweighted least squares algorithm for recovering a matrix from a small number of linear measurements. The algorithm is designed for the simultaneous promotion of both a…

Numerical Analysis · Mathematics 2011-07-19 Massimo Fornasier , Holger Rauhut , Rachel Ward

Accurate extractions of the detected gravitational wave (GW) signal waveforms are essential to validate a detection and to probe the astrophysics behind the sources producing the GWs. This however could be difficult in realistic scenarios…

General Relativity and Quantum Cosmology · Physics 2021-09-20 Chayan Chatterjee , Linqing Wen , Foivos Diakogiannis , Kevin Vinsen

Recent work has generalized several results concerning the well-understood spiked Wigner matrix model of a low-rank signal matrix corrupted by additive i.i.d. Gaussian noise to the inhomogeneous case, where the noise has a variance profile.…

Statistics Theory · Mathematics 2025-10-10 Debsurya De , Dmitriy Kunisky

This study explores the integration of quantum algorithms, specifically Grover's algorithm, with quantum metrology to enhance the efficiency and sensitivity of gravitational-wave detection. By combining quantum matched filtering with…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Vaidik A Sharma

Gravitational waves (GWs) can be deflected, similarly to electromagnetic (EM) waves, by massive objects through the phenomenon of gravitational lensing. The importance of gravitational lensing for GW astronomy is becoming increasingly…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Eungwang Seo , Tjonnie Guan Feng Li , Martin Anthony Hendry

Strong gravitational lensing of variable sources, such as quasars or supernovae, can be used to constrain cosmological parameters through a technique known as "time-delay cosmography''. Competitive constraints on the Hubble constant have…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-10 Simon Birrer , Graham P. Smith , Anowar J. Shajib , Dan Ryczanowski , Nikki Arendse

The detection of gravitational waves (GWs) from coalescing compact binaries has become routine with ground-based detectors like LIGO and Virgo. However, beyond standard sources such as binary black holes and neutron stars and neutron star…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Kanchan Soni , Alexander H. Nitz

Low-rank matrix estimation plays a central role in various applications across science and engineering. Recently, nonconvex formulations based on matrix factorization are provably solved by simple gradient descent algorithms with strong…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Cong Ma , Yuanxin Li , Yuejie Chi

Gravitational wave (GW) astronomy has revolutionized our capacity to explore nature. The next generation of observatories, among which the space-borne detector Laser Interferometer Space Antenna LISA, is expected to yield orders of…

General Relativity and Quantum Cosmology · Physics 2024-12-06 Henri Inchauspé , Silvia Gasparotto , Diego Blas , Lavinia Heisenberg , Jann Zosso , Shubhanshu Tiwari

The low multilinear rank approximation, also known as the truncated Tucker decomposition, has been extensively utilized in many applications that involve higher-order tensors. Popular methods for low multilinear rank approximation usually…

Numerical Analysis · Mathematics 2021-04-05 Chuanfu Xiao , Chao Yang , Min Li

Gravitational-wave (GW) ringdown signals from black holes (BHs) encode crucial information about the gravitational dynamics in the strong-field regime, which offers unique insights into BH properties. In the future, the improving…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Yiming Dong , Ziming Wang , Hai-Tian Wang , Junjie Zhao , Lijing Shao

This paper addresses the problem of identifying linear systems from noisy input-output trajectories. We introduce Thresholded Ho-Kalman, an algorithm that leverages a rank-adaptive procedure to estimate a Hankel-like matrix associated with…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Frédéric Zheng , Yassir Jedra , Alexandre Proutière
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