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The higher-multipoles of gravitational wave signals from coalescing compact binaries play a vital role in the accurate reconstruction of source properties, bringing about a deeper and nuanced understanding of fundamental physics and…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Soumen Roy , Anand S. Sengupta , K. G. Arun

Searches for binary inspiral signals in data collected by interferometric gravitational wave detectors utilize matched filtering techniques. Although matched filtering is optimal in the case of stationary Gaussian noise, data from real…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Shawhan , Evan Ochsner

Many statistical experiments involve comparing multiple population groups. For example, a public opinion poll may ask which of several political candidates commands the most support; a social scientific survey may report the most common of…

Methodology · Statistics 2019-03-20 Kenneth Hung , William Fithian

This review article is based on a seminar presented at the Higgs pairs workshop 2025. Stochastic gravitational wave backgrounds can serve as probe of the diverse phenomenology encountered in beyond-Standard-Model scenarios featuring phase…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 Chiara Caprini

Detecting a stationary, stochastic gravitational wave signal is complicated by impossibility of observing the detector noise independently of the signal. One consequence is that we require at least two detectors to observe the signal, which…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Lee Samuel Finn , Albert Lazzarini

The global dynamics of event cascades are often governed by the local dynamics of peer influence. However, detecting social influence from observational data is challenging due to confounds like homophily and practical issues like missing…

Social and Information Networks · Computer Science 2019-07-22 Sandeep Soni , Shawn Ling Ramirez , Jacob Eisenstein

We introduce a new discrepancy score between two distributions that gives an indication on their similarity. While much research has been done to determine if two samples come from exactly the same distribution, much less research…

Machine Learning · Computer Science 2012-10-16 Maayan Harel , Shie Mannor

Although gravitational waves are now routinely observed, the detection of individual gravitons has long been regarded as impossible. Recent work, however, has demonstrated that single-graviton detection can be achieved and may be feasible…

Quantum Physics · Physics 2026-02-11 Kristian Toccacelo , Thomas Beitel , Ulrik Lund Andersen , Igor Pikovski

A new experiment for the gravitational waves (GWs) detection is proposed. It is indeed shown that the effect of GWs on sound waves (SWs) in a fluid is that GWs vary the pressure of the fluid by crossing it. This variation can be found by…

General Physics · Physics 2021-11-24 Basem Ghayour , Jafar Khodagholizadeh , Christian Corda , Ming-Lei Tong , Ali Ghayour

These lecture notes provide a brief introduction to methods used to search for a stochastic background of gravitational radiation -- a superposition of gravitational-wave signals that are either too weak or too numerous to individually…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Joseph D. Romano

The output of gravitational-wave interferometers, such as LIGO and Virgo, can be highly non-stationary. Broadband detector noise can affect the detector sensitivity on the order of tens of seconds. Gravitational-wave transient searches,…

Instrumentation and Methods for Astrophysics · Physics 2020-08-07 S. Mozzon , L. K. Nuttall , A. Lundgren , T. Dent , S. Kumar , A. H. Nitz

We propose a way to detect gravitons by replicating the Brownian motion experiment. The number $N_g$ of gravitons can be large enough for the stochastic gravitational noise produced by them to displace a massive test particle in a physical…

General Relativity and Quantum Cosmology · Physics 2025-01-15 John W. Moffat

Coherent wide parameter-space searches for continuous gravitational waves are typically limited in sensitivity by their prohibitive computing cost. Therefore semi-coherent methods (such as StackSlide) can often achieve a better sensitivity.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Reinhard Prix , Miroslav Shaltev

Assessing whether two patient populations exhibit comparable event dynamics is essential for evaluating treatment equivalence, pooling data across cohorts, or comparing clinical pathways across hospitals or strategies. We introduce a…

Methodology · Statistics 2026-04-10 Zoe Kristin Lange , Maryam Farhadizadeh , Holger Dette , Nadine Binder

The data taken by the advanced LIGO and Virgo gravitational-wave detectors contains short duration noise transients that limit the significance of astrophysical detections and reduce the duty cycle of the instruments. As the advanced…

Instrumentation and Methods for Astrophysics · Physics 2017-01-25 Jade Powell , Alejandro Torres-Forné , Ryan Lynch , Daniele Trifirò , Elena Cuoco , Marco Cavaglià , Ik Siong Heng , José A. Font

The gravitational wave observations of colliding black holes have opened a new window into the unexplored extreme gravity sector of physics, where the gravitational fields are immensely strong, non-linear, and dynamical. 10 binary black…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Zack Carson , Kent Yagi

Searches for gravitational-wave signals are often based on maximizing a detection statistic over a bank of waveform templates, covering a given parameter space with a variable level of correlation. Results are often evaluated using a…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Rodrigo Tenorio , Luana M. Modafferi , David Keitel , Alicia M. Sintes

This paper investigates a statistical procedure for testing the equality of two independent estimated covariance matrices when the number of potentially dependent data vectors is large and proportional to the size of the vectors, that is,…

Statistics Theory · Mathematics 2020-06-01 Rémy Mariétan , Stephan Morgenthaler

Analyzing the records of Advanced LIGO and Virgo gravitational observatories, we found a permanent time-domain asymmetry inherent only to the signals of their gravitational detectors. Experiments with different periodic signals, Gaussian…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Alexander V. Kramarenko , Andrey V. Kramarenko

Gravitational wave observations offer unique opportunities to probe gravity in the strong and dynamical regime, which was difficult to access previously. We here review two theory-agnostic ways to carry out tests of general relativity with…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Zack Carson , Kent Yagi
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