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We explore the localization of compact binary coalescences with ground-based gravitational-wave detector networks. We simulate tens of thousands of binary events, and present the distributions of localization sky areas and localization…

High Energy Astrophysical Phenomena · Physics 2016-12-06 Hsin-Yu Chen , Daniel E. Holz

Joint gravitational-wave detections of stellar-mass black-hole binaries by ground- and space-based observatories will provide unprecedented opportunities for fundamental physics and astronomy. We present a semianalytic method to estimate…

High Energy Astrophysical Phenomena · Physics 2019-05-22 Davide Gerosa , Sizheng Ma , Kaze W. K. Wong , Emanuele Berti , Richard O'Shaughnessy , Yanbei Chen , Krzysztof Belczynski

We discuss data analysis techniques that can be used in the search for gravitational wave bursts from cosmic strings. When data from multiple interferometers are available, we describe consistency checks that can be used to greatly reduce…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Xavier Siemens , Jolien Creighton , Irit Maor , Saikat Ray Majumder , Kipp Cannon , Jocelyn Read

Gravitational wave transients, resulting from the merger of two stellar remnants, are now detectable. The properties and rates of these directly relates to the stellar population which gave rise to their progenitors, and thus to other,…

High Energy Astrophysical Phenomena · Physics 2018-10-17 J. J. Eldridge , E. R. Stanway , Petra N. Tang

The two interferometric LIGO gravitational-wave observatories provide the most sensitive data to date to study the gravitational-wave Universe. As part of a global network, they have just completed their third observing run in which they…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Gregory Ashton , Sarah Thiele , Yannick Lecoeuche , Jess McIver , Laura K Nuttall

Searching for gravitational-wave signals is a challenging and computationally intensive endeavor undertaken by multiple independent analysis pipelines. While detection depends only on observed noisy data, it is sometimes inconsistently…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Matthew Mould , Christopher J. Moore , Davide Gerosa

While previous distribution shift detection approaches can identify if a shift has occurred, these approaches cannot localize which specific features have caused a distribution shift -- a critical step in diagnosing or fixing any underlying…

Machine Learning · Computer Science 2021-07-16 Sean Kulinski , Saurabh Bagchi , David I. Inouye

Consider a pair of cumulative distribution functions $F$ and $G$, where $F$ is unknown and $G$ is a known reference distribution. Given a sample from $F$, we propose tests to detect the convexity or the concavity of $G^{-1}\circ F$ versus…

Statistics Theory · Mathematics 2025-06-25 Tommaso Lando , Mohammed Es-Salih Benjrada

Observations of gravitational waves (GWs) by the advanced LIGO--Virgo detectors provide us with ground breaking opportunities to test predictions of Einstein's theory of general relativity (GR) in the strong field regime. In this article,…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Abhirup Ghosh

Enhanced fluctuations and correlations have been observed in the phase transitions of many systems. Their appearance at the predicted QCD phase transition (especially near the expected critical point) may provide insight into the nature of…

Nuclear Experiment · Physics 2015-03-17 Terence J Tarnowsky

We present a computational method to identify glitches in gravitational-wave data that occur nearby gravitational-wave signals from compact binary coalescences. The Q-transform, an established tool in LIGO-Virgo-KAGRA data analysis,…

Instrumentation and Methods for Astrophysics · Physics 2023-01-18 Leah Vazsonyi , Derek Davis

With the advanced LIGO and Virgo detectors taking observations the detection of gravitational waves is expected within the next few years. Extracting astrophysical information from gravitational wave detections is a well-posed problem and…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Tyson B. Littenberg , Jonah B. Kanner , Neil J. Cornish , Margaret Millhouse

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

Understanding the shape of a distribution of data is of interest to people in a great variety of fields, as it may affect the types of algorithms used for that data. We study one such problem in the framework of distribution property…

Machine Learning · Computer Science 2022-12-06 Maryam Aliakbarpour , Amartya Shankha Biswas , Kavya Ravichandran , Ronitt Rubinfeld

As first emphasized by Bernard Schutz, there exists a universal distribution of signal-to-noise ratios for gravitational wave detection. Because gravitational waves (GWs) are almost impossible to obscure via dust absorption or other…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Hsin-Yu Chen , Daniel E. Holz

The Advanced LIGO and Advanced Virgo detectors have commenced observations. Gravitational waves from the merger of binary black hole systems and a binary neutron star system have been observed. A major goal for LIGO and Virgo is to detect…

General Relativity and Quantum Cosmology · Physics 2019-08-30 Nelson Christensen

The formation of merging binary black holes can occur through multiple astrophysical channels such as, e.g., isolated binary evolution and dynamical formation or, alternatively, have a primordial origin. Increasingly large…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-13 Simone S. Bavera , Gabriele Franciolini , Giulia Cusin , Antonio Riotto , Michael Zevin , Tassos Fragos

An important aspect of multiple hypothesis testing is controlling the significance level, or the level of Type I error. When the test statistics are not independent it can be particularly challenging to deal with this problem, without…

Statistics Theory · Mathematics 2009-03-04 Sandy Clarke , Peter Hall

The two-sample test is a fundamental problem in statistics with a wide range of applications. In the realm of high-dimensional data, nonparametric methods have gained prominence due to their flexibility and minimal distributional…

Methodology · Statistics 2024-12-24 Zexi Cai , Wenbo Fei , Doudou Zhou

Gravitational waves, like light, can be gravitationally lensed by massive astrophysical objects such as galaxies and galaxy clusters. Strong gravitational-wave lensing, forecasted at a reasonable rate in ground-based gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Justin Janquart , Otto A. Hannuksela , Haris K. , Chris Van Den Broeck