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All-sky, broadband, coherent searches for gravitational-wave pulsars are computationally limited. It is therefore important to make efficient use of available computational resources, notably by minimizing the number of templates used to…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Karl Wette , Reinhard Prix

We describe the consistency testing of a new code for gravitational wave signal parameter estimation in known pulsar searches. The code uses an implementation of nested sampling to explore the likelihood volume. Using fake signals and…

High Energy Astrophysical Phenomena · Physics 2015-06-04 M. Pitkin , C. Gill , J. Veitch , E. Macdonald , G. Woan

Many searches for continuous gravitational waves face significant computational challenges due to the need to explore large parameter spaces characterized by unknown parameters. Parameter-space metrics are used to predict the relative loss…

General Relativity and Quantum Cosmology · Physics 2026-05-18 P. B. Covas , R. Prix

Searching for a signal depending on unknown parameters in a noisy background with matched filtering techniques always requires an analysis of the data with several templates in parallel in order to ensure a proper match between the filter…

Multidimensional record patterns are random sets of lattice points defined by means of a recursive stochastic construction. The patterns thus generated owe their richness to the fact that the construction is not based on a total order,…

Statistical Mechanics · Physics 2020-06-11 P. L. Krapivsky , J. M. Luck

All-sky searches for gravitational-wave pulsars are generally limited in sensitivity by the finite availability of computing resources. Semicoherent searches are a common method of maximizing search sensitivity given a fixed computing…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Karl Wette

Coalescing binary black holes (BBHs) are among the most likely sources for the Laser Interferometer Gravitational-wave Observatory (LIGO) and its international partners Virgo and KAGRA. Optimal searches for BBHs require accurate waveforms…

General Relativity and Quantum Cosmology · Physics 2013-12-10 Duncan A. Brown , Prayush Kumar , Alexander H. Nitz

We present new, original and alternative method for searching signals coded in noisy data. The method is based on the properties of random matrix eigenvalue spectra. First, we describe general ideas and support them with results of…

Data Analysis, Statistics and Probability · Physics 2015-05-28 D. Grech , J. Miskiewicz

Accurate waveform models describing the complete evolution of compact binaries are crucial for the maximum likelihood detection framework, testing the predictions of General Relativity (GR) and investigating the possibility of an…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Harsh Narola , Soumen Roy , Anand S. Sengupta

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

Searching for gravitational waves (GWs) from binary black holes (BBHs) with LIGO and Virgo involves matched-filtering data against a set of representative signal waveforms --- a template bank --- chosen to cover the full signal space of…

General Relativity and Quantum Cosmology · Physics 2016-06-08 Collin Capano , Ian Harry , Stephen Privitera , Alessandra Buonanno

We study non-parametric regression estimates for random fields. The data satisfies certain strong mixing conditions and is defined on the regular $N$-dimensional lattice structure. We show consistency and obtain rates of convergence. The…

Statistics Theory · Mathematics 2018-07-06 Johannes T. N. Krebs

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

Data Analysis, Statistics and Probability · Physics 2019-02-25 Glen Cowan

In the search for binary systems inspiral signal in interferometric gravitational waves detectors, one needs the generation and placement of a grid of templates. We present an original technique for the placement in the associated parameter…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Beauville , D. Buskulic , R. Flaminio , R. Gouaty , D. Grosjean , F. Marion , B. Mours , E. Tournefier , D. Verkindt , M. Yvert

Wide parameter space searches for long lived continuous gravitational wave signals are computationally limited. It is therefore critically important that available computational resources are used rationally. In this paper we consider…

General Relativity and Quantum Cosmology · Physics 2016-03-09 Jing Ming , Badri Krishnan , Maria Alessandra Papa , Carsten Aulbert , Henning Fehrmann

Monte Carlo simulations of the 4d O(4) model in the broken phase are performed to determine the parameters of a resonance. The standard method for extracting them on the lattice is through L\"uscher's formula; recently a new method, based…

High Energy Physics - Lattice · Physics 2011-01-25 Pietro Giudice , Darran McManus , Mike Peardon

This paper proposes exploiting the spatial correlation of wireless channel statistics beyond the conventional received signal strength maps by constructing statistical radio maps to predict any relevant channel statistics to assist…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Tobias Kallehauge , Pablo Ramìrez-Espinosa , Anders E. Kalør , Christophe Biscio , Petar Popovski

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Christopher J. Moore , Jonathan R. Gair

We use the martingale-theoretic approach of game-theoretic probability to incorporate imprecision into the study of randomness. In particular, we define several notions of randomness associated with interval, rather than precise,…

Probability · Mathematics 2021-06-24 Gert de Cooman , Jasper De Bock

In searches for gravitational waves emitted by known isolated pulsars in data collected by a detector one can assume that the frequency of the wave, its spindown parameters, and the position of the source in the sky are known, so the almost…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Piotr Jaranowski , Andrzej Królak