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Weakly-modelled searches for gravitational waves are essential for ensuring that all potential sources are accounted for in detection efforts, as they make minimal assumptions regarding source morphology. While these searches primarily…

广义相对论与量子宇宙学 · 物理学 2025-10-06 Leigh Smith , Matteo Scialpi , Francesco di Clemente , Michał Bejger

The use of high-dimensional features has become a normal practice in many computer vision applications. The large dimension of these features is a limiting factor upon the number of data points which may be effectively stored and processed,…

计算机视觉与模式识别 · 计算机科学 2015-06-18 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

We present an improved search for binary compact-object mergers using a network of ground-based gravitational-wave detectors. We model a volumetric, isotropic source population and incorporate the resulting distribution over signal…

广义相对论与量子宇宙学 · 物理学 2018-05-29 Alexander H. Nitz , Thomas Dent , Tito Dal Canton , Stephen Fairhurst , Duncan A. Brown

Dynamic density-matrix renormalization provides valuable numerical information on dynamic correlations by computing convolutions of the corresponding spectral densities. Here we discuss and illustrate how and to which extent such data can…

强关联电子 · 物理学 2007-05-23 Carsten Raas , Götz S. Uhrig

We demonstrate that the orbital eccentricity in compact binary mergers can be used to improve their sky localization using gravitational wave observations. Existing algorithms that conduct the localizations are not optimized for eccentric…

广义相对论与量子宇宙学 · 物理学 2026-02-10 Souradeep Pal

Current searches for gravitational waves from compact-object binaries with the LIGO and Virgo observatories employ waveform models with spins aligned (or anti-aligned) with the orbital angular momentum. Here, we derive a new statistic to…

广义相对论与量子宇宙学 · 物理学 2016-07-14 Ian Harry , Stephen Privitera , Alejandro Bohé , Alessandra Buonanno

Deep neural network models have a complex architecture and are overparameterized. The number of parameters is more than the whole dataset, which is highly resource-consuming. This complicates their application and limits its usage on…

计算机视觉与模式识别 · 计算机科学 2024-08-15 Vasiliy Alekseev , Ilya Lukashevich , Ilia Zharikov , Ilya Vasiliev

Singular spectrum analysis is developed as a nonparametric spectral decomposition of a time series. It can be easily extended to the decomposition of multidimensional lattice-like data through the filtering interpretation. In this…

计算机视觉与模式识别 · 计算机科学 2015-05-08 Kenji Kume , Naoko Nose-Togawa

Singular Spectrum Analysis (SSA) or Singular Value Decomposition (SVD) are often used to de-noise univariate time series or to study their spectral profile. Both techniques rely on the eigendecomposition of the cor- relation matrix…

信号处理 · 电气工程与系统科学 2018-07-30 A. M. Tomé , D. Malafaia , A. R. Teixeira , E. W. Lang

Atmospheric tomography, the problem of reconstructing atmospheric turbulence profiles from wavefront sensor measurements, is an integral part of many adaptive optics systems used for enhancing the image quality of ground-based telescopes.…

数值分析 · 数学 2025-02-06 Lukas Weissinger , Simon Hubmer , Bernadett Stadler , Ronny Ramlau

All-sky, broadband, coherent searches for gravitational-wave pulsars are restricted by limited computational resources. Minimizing the number of templates required to cover the search parameter space, of sky position and frequency…

广义相对论与量子宇宙学 · 物理学 2015-01-05 Karl Wette

Singular Value Decomposition (SVD) is a powerful tool for multivariate analysis. However, independent computation of the SVD for each sample taken from a bandlimited matrix random process will result in singular value sample paths whose…

统计理论 · 数学 2007-06-13 D. W. Browne , M. W. Browne , M. P. Fitz

The large-scale focusing inversion of gravity and magnetic potential field data using $L_1$-norm regularization is considered. The use of the randomized singular value decomposition methodology facilitates tackling the computational…

地球物理 · 物理学 2022-08-16 Saeed Vatankhah , Shuang Liu , Rosemary A. Renaut , Xiangyun Hu , Jamaledin Baniamerian

Most of the inspiralling compact binaries are expected to be circularized by the time their gravitational-wave signals enter the frequency band of ground-based detectors such as LIGO or VIRGO. However, it is not excluded that some of these…

广义相对论与量子宇宙学 · 物理学 2009-11-13 T Cokelaer , D Pathak

We propose a method to reduce non-uniform sample variance to a predetermined target level. The proposed space-variant filter can equalize variance of the non-stationary signal, or vary filtering strength based on image features, such as…

计算机视觉与模式识别 · 计算机科学 2019-11-15 Alexander Zamyatin

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

信息论 · 计算机科学 2017-01-27 Laurent Schmalen , Vahid Aref , Fanny Jardel

It has long been known that the search for gravitational waves from inspiraling binaries must be aided by signal processing methods, and that the technique of matched filtering is the most likely to be used for the detection of inspiral…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Benjamin J. Owen

The vast majority of gravitational-wave signals from stellar-mass compact binary mergers are too weak to be individually detected with present-day instruments and instead contribute to a faint, persistent background. This astrophysical…

高能天体物理现象 · 物理学 2024-08-19 Arianna I. Renzini , Thomas A. Callister , Katerina Chatziioannou , Will M. Farr

Many relevant applications in gravitational wave physics share a significant common problem: the seven-dimensional parameter space of gravitational waveforms from precessing compact binary inspirals and coalescences is large enough to…

广义相对论与量子宇宙学 · 物理学 2014-07-16 Jonathan Blackman , Bela Szilagyi , Chad R. Galley , Manuel Tiglio

Blind deconvolution (BD), the resolution of a signal and a filter given their convolution, arises in many applications. Without further constraints, BD is ill-posed. In practice, subspace or sparsity constraints have been imposed to reduce…

信息论 · 计算机科学 2015-05-14 Yanjun Li , Kiryung Lee , Yoram Bresler