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In this paper we investigate new results on the theory of superoscillations using time-frequency analysis tools and techniques such as the short-time Fourier transform (STFT) and the Zak transform. We start by studying how the short-time…

Functional Analysis · Mathematics 2024-07-18 Daniel Alpay , Antonino De Martino , Kamal Diki , Daniele C. Struppa

It is known by the experience gained from the gravitational wave detector proto-types that the interferometric output signal will be corrupted by a significant amount of non-Gaussian noise, large part of it being essentially composed of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Chassande-Mottin , S. V. Dhurandhar

Space-based gravitational wave (GW) detection is one of the most anticipated GW detection projects in the next decade, which promises to detect abundant compact binary systems. At present, deep learning methods have not been widely explored…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Ruijun Shi , Yue Zhou , Tianyu Zhao , Zhoujian Cao , Zhixiang Ren

A second generation of gravitational wave detectors will soon come online with the objective of measuring for the first time the tiny gravitational signal from the coalescence of black hole and/or neutron star binaries. In this…

Instrumentation and Methods for Astrophysics · Physics 2017-10-26 Eric Chassande-Mottin , Eric Lebigot , Hugo Magaldi , Eve Chase , Archana Pai , Gayathri V , Gabriele Vedovato

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 construct efficient banks of templates suitable for all-sky narrow-band searches of almost monochromatic gravitational waves originating from spinning neutron stars in our Galaxy in data collected by interferometric detectors. We…

General Relativity and Quantum Cosmology · Physics 2015-08-10 Andrzej Pisarski , Piotr Jaranowski

With current terrestrial gravitational wave detectors working at initial design sensitivities, and upgrades and space missions planned, it is likely that in the next five to ten years gravitational radiation will be detected directly from a…

Astrophysics · Physics 2009-11-11 M. Coleman Miller

The state-of-the-art automotive radars employ multidimensional discrete Fourier transforms (DFT) in order to estimate various target parameters. The DFT is implemented using the fast Fourier transform (FFT), at sample and computational…

Signal Processing · Electrical Eng. & Systems 2018-01-16 Shaogang Wang , Vishal M. Patel , Athina Petropulu

We report on an all-sky search with the LIGO detectors for periodic gravitational waves in the frequency range 50-1000 Hz and with the frequency's time derivative in the range -1.0E-8 Hz/s to zero. Data from the fourth LIGO science run (S4)…

General Relativity and Quantum Cosmology · Physics 2014-11-18 LIGO Scientific Collaboration , B. Abbott

Supervised fine-tuning (SFT) plays a crucial role in adapting large language models (LLMs) to specific domains or tasks. However, as demonstrated by empirical experiments, the collected data inevitably contains noise in practical…

Computation and Language · Computer Science 2024-12-20 Junyu Luo , Xiao Luo , Kaize Ding , Jingyang Yuan , Zhiping Xiao , Ming Zhang

Significant progress has been made in recent years on the development of gravitational wave detectors. Sources such as coalescing compact binary systems, neutron stars in low-mass X-ray binaries, stellar collapses and pulsars are all…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Matthew Pitkin , Stuart Reid , Sheila Rowan , Jim Hough

The detection of signals with varying frequency is important in many areas of physics and astrophysics. The current work was motivated by a desire to detect gravitational waves from the binary inspiral of neutron stars and black holes, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. A. Jenet , T. A. Prince

In dense stellar regions, highly eccentric binaries of black holes and neutron stars can form through various n-body interactions. Such a binary could emit a significant fraction of its binding energy in a sequence of largely isolated…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Kai Sheng Tai , Sean T. McWilliams , Frans Pretorius

We present a theoretical background for the data analysis of the gravitational-wave signals from spinning neutron stars for Earth-based laser interferometric detectors. We introduce a detailed model of the signal including both the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Piotr Jaranowski , Andrzej Królak , Bernard F. Schutz

Supermassive binaries detectable by the future space gravitational-wave interferometer LISA might allow to distinguish black holes from ultracompact horizonless objects, even when the latter are motivated by quantum-gravity considerations.…

General Relativity and Quantum Cosmology · Physics 2019-07-25 Andrea Maselli , Paolo Pani , Vitor Cardoso , Tiziano Abdelsalhin , Leonardo Gualtieri , Valeria Ferrari

We investigate the computational requirements for all-sky, all-frequency searches for gravitational waves from spinning neutron stars, using archived data from interferometric gravitational wave detectors such as LIGO. These sources are…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Patrick R. Brady , Teviet Creighton , Curt Cutler , Bernard F. Schutz

We quantify the advantages of a recently proposed data processing technique to search for continuous gravitational wave (GW) signals from isolated rotating asymmetric neutron stars in data measured by ground-based GW interferometers. This…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Harshit Raj , Sanjeev Dhurandhar , Massimo Tinto

A joint fit of the mass and redshift distributions of the population of Binary Black Holes detected with Gravitational-Wave observations can be used to obtain constraints on the Hubble parameter and on deviations from General Relativity in…

General Relativity and Quantum Cosmology · Physics 2022-11-29 Michele Mancarella , Nicola Borghi , Stefano Foffa , Edwin Genoud-Prachex , Francesco Iacovelli , Michele Maggiore , Michele Moresco , Matteo Schulz

The analysis of data coming from interferometric antennas for gravitational waves detection may require a huge amount of computing power. The usual approach to the detection strategy is to set-up computer farms able to perform several tasks…

High Energy Physics - Experiment · Physics 2007-05-23 F. Acernese , F. Barone , R. De Rosa , R. Esposito , P. Mastroserio , L. Milano , S. Pardi , K. Qipiani , G. Spadaccini

Hyperspectral imaging enables fine-grained recognition of materials by capturing rich spectral signatures, but learning robust classifiers is challenging due to high dimensionality, spectral redundancy, limited labeled data, and strong…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Alexander Musiat , Nikolas Ebert , Oliver Wasenmüller
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