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Structural quantities such as order parameters and correlation functions are often employed to gain insight into the physical behavior and properties of condensed matter systems. While standard quantities for characterizing structure exist,…

Soft Condensed Matter · Physics 2017-08-23 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

The effect of the recently obtained 2nd post-Newtonian corrections on the accuracy of estimation of parameters of the gravitational-wave signal from a coalescing binary is investigated. It is shown that addition of this correction degrades…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrzej Królak , Kostas D. Kokkotas , Gerhard Schäfer

Low-density parity-check (LDPC) convolutional codes have been shown to exhibit excellent performance under low-complexity belief-propagation decoding [1], [2]. This phenomenon is now termed threshold saturation via spatial coupling. The…

Information Theory · Computer Science 2013-12-30 Santhosh Kumar , Andrew J. Young , Nicolas Macris , Henry D. Pfister

We develop a new statistical model for photographic images, in which the local responses of a bank of linear filters are described as jointly Gaussian, with zero mean and a covariance that varies slowly over spatial position. We optimize…

Computer Vision and Pattern Recognition · Computer Science 2015-03-25 Olivier J. Hénaff , Johannes Ballé , Neil C. Rabinowitz , Eero P. Simoncelli

When described through a plane-wave basis set, the inclusion of exact nonlocal exchange in hybrid functionals gives rise to a singularity, which slows down the convergence with the density of sampled $k$ points in reciprocal space. In this…

Materials Science · Physics 2009-09-10 Peter Broqvist , Audrius Alkauskas , Alfredo Pasquarello

Observing gravitational waves from sub-solar-mass, inspiraling compact binaries would provide almost smoking-gun evidence for primordial black holes. Here, we develop a method to search for ultra-compact binaries with chirp masses ranging…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Andrew L. Miller , Lorenzo Pierini

The signal resulting from magnetic resonance spectroscopy is occupied by noises and irregularities so in the further analysis preprocessing techniques have to be introduced. The main idea of the paper is to develop a model of a signal as a…

Signal Processing · Electrical Eng. & Systems 2021-03-30 Michał Staniszewski , Andrzej Polański

We present a method for efficiently searching long-duration gravitational wave signals from compact binary coalescences (CBCs). The approach exploits the smooth frequency-domain behavior of ratios between neighboring waveform templates. The…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Yasuhiro Murakami , Tathagata Ghosh , Soichiro Morisaki

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…

Information Theory · Computer Science 2019-07-09 Laurent Schmalen , Vahid Aref

Efficient parameter estimation is critical for Gravitational-Wave astronomy. In the case of compact binary coalescence, the high dimensional parameter space demands efficient sampling techniques - such as Markov chain Monte Carlo (MCMC). A…

General Relativity and Quantum Cosmology · Physics 2014-02-04 V. Raymond , W. M. Farr

Ground-based gravitational wave detectors are sensitive to a narrow range of frequencies, effectively taking a snapshot of merging compact-object binary dynamics just before merger. We demonstrate that by adopting analysis parameters that…

General Relativity and Quantum Cosmology · Physics 2014-10-01 Benjamin Farr , Evan Ochsner , Will M. Farr , Richard O'Shaughnessy

We present a novel gravitational wave detection algorithm that conducts a matched filter search stochastically across the compact binary parameter space rather than relying on a fixed bank of template waveforms. This technique is…

Variables in many massive high-dimensional data sets are structured, arising for example from measurements on a regular grid as in imaging and time series or from spatial-temporal measurements as in climate studies. Classical multivariate…

Methodology · Statistics 2012-03-14 Genevera I. Allen , Logan Grosenick , Jonathan Taylor

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

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

We introduce hp-greedy, a refinement approach for building gravitational wave surrogates as an extension of the standard reduced basis framework. Our proposal is data-driven, with a domain decomposition of the parameter space, local reduced…

General Relativity and Quantum Cosmology · Physics 2022-12-19 Franco Cerino , J. Andrés Diaz-Pace , Manuel Tiglio

Image filters are fast, lightweight and effective, which make these conventional wisdoms preferable as basic tools in vision tasks. In practical scenarios, users have to tweak parameters multiple times to obtain satisfied results. This…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Fu Lee Wang , Yidan Feng , Haoran Xie , Gary Cheng , Mingqiang Wei

In signal detection problems, one is usually faced with the task of searching a parameter space for peaks in the likelihood function which indicate the presence of a signal. Random searches have proven to be very efficient as well as easy…

General Relativity and Quantum Cosmology · Physics 2010-10-08 Christian Röver

Spatial optimization is often overlooked in many computer vision tasks. Filters should be able to recognize the features of an object regardless of where it is in the image. Similarity search is a crucial task where spatial features decide…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Md. Farhadul Islam , Md. Tanzim Reza , Meem Arafat Manab , Mohammad Rakibul Hasan Mahin , Sarah Zabeen , Jannatun Noor

One of the goals of gravitational-wave astronomy is simultaneous detection of gravitational-wave signals from merging compact-object binaries and the electromagnetic transients from these mergers. With the next generation of advanced…