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In this thesis we consider the data analysis problem of detecting gravitational waves emitted by inspiraling binary systems. Detection of gravitational waves will open a new window on the Universe enabling direct detection of systems such…

General Relativity and Quantum Cosmology · Physics 2010-02-10 Gareth Jones

In order to separate astrophysical gravitational-wave signals from instrumental noise, which often contains transient non-Gaussian artifacts, astronomers have traditionally relied on bootstrap methods such as time slides. Bootstrap methods…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Gregory Ashton , Eric Thrane , Rory J. E. Smith

We currently lack good waveform models for many gravitational wave sources. Examples where models are lacking include neutron star post merger signals, core collapse supernovae, and signals of unknown origin. Wavelet based techniques have…

General Relativity and Quantum Cosmology · Physics 2024-04-19 Toral Gupta , Neil Cornish

The promise of multi-messenger astronomy relies on the rapid detection of gravitational waves at very low latencies ($\mathcal{O}$(1\,s)) in order to maximize the amount of time available for follow-up observations. In recent years,…

Compact boson star binaries are hypothetical sources for ground-based and space gravitational-wave detectors. Their signal would be a messenger for novel fundamental fields and could shed light on the dark matter. In this work, we further…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Massimo Vaglio , Costantino Pacilio , Andrea Maselli , Paolo Pani

Compact binary coalescences are a promising source of gravitational waves for second-generation interferometric gravitational-wave detectors. Although matched filtering is the optimal search method for well-modeled systems, alternative…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Michael Coughlin , Eric Thrane , Nelson Christensen

The Advanced LIGO and Advanced Virgo gravitational wave (GW) detectors will begin operation in the coming years, with compact binary coalescence events a likely source for the first detections. The gravitational waveforms emitted directly…

Integrative analyses based on statistically relevant associations between genomics and a wealth of intermediary phenotypes (such as imaging) provide vital insights into their clinical relevance in terms of the disease mechanisms. Estimates…

Applications · Statistics 2022-08-16 Snigdha Panigrahi , Shariq Mohammed , Arvind Rao , Veerabhadran Baladandayuthapani

The recent discovery of the stochastic gravitational-wave background via pulsar timing arrays will likely be followed by the detection of individual black hole binaries that stand out above the background. However, to confidently claim the…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Bence Bécsy , Neil J. Cornish , Polina Petrov , Xavier Siemens , Stephen R. Taylor , Sarah J. Vigeland , Caitlin A. Witt

A small fraction of the gravitational-wave (GW) signals that will be detected by second and third generation detectors are expected to be strongly lensed by galaxies and clusters, producing multiple observable copies. While optimal Bayesian…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Srashti Goyal , Harikrishnan D. , Shasvath J. Kapadia , Parameswaran Ajith

The LIGO-Virgo-KAGRA catalog has been analyzed with an abundance of different population models due to theoretical uncertainty in the formation of gravitational-wave sources. To expedite model exploration, we introduce an efficient and…

Instrumentation and Methods for Astrophysics · Physics 2025-06-30 Matthew Mould , Noah E. Wolfe , Salvatore Vitale

The determination of the physical parameters of gravitational wave events is a fundamental pillar in the analysis of the signals observed by the current ground-based interferometers. Typically, this is done using Bayesian inference…

General Relativity and Quantum Cosmology · Physics 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

I explore the possibility of resurrecting an old, non-Bayesian computational approach for inferring the source direction of a gravitational wave from the output of a two-detector network. The method gives the beam pattern response functions…

Instrumentation and Methods for Astrophysics · Physics 2018-05-04 Tom McClain

Estimating the parameters of compact binaries which coalesce and produce gravitational waves is a challenging Bayesian inverse problem. Gravitational-wave parameter estimation lies within the class of multifidelity problems, where a variety…

General Relativity and Quantum Cosmology · Physics 2024-05-31 Bassel Saleh , Aaron Zimmerman , Peng Chen , Omar Ghattas

Theoretical studies in gravitational wave astronomy have mostly focused on the information that can be extracted from individual detections, such as the mass of a binary system and its location in space. Here we consider how the information…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Matthew Adams , Neil Cornish , Tyson Littenberg

Inspiralling binary systems of neutron stars or black holes are promising sources of gravitational radiation detectable by large-scale laser interferometric gravitational observatories, such as the US LIGO and Italian-French VIRGO projects.…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Clifford M. WILL

This is an introduction to Bayesian inference with a focus on hierarchical models and hyper-parameters. We write primarily for an audience of Bayesian novices, but we hope to provide useful insights for seasoned veterans as well. Examples…

Instrumentation and Methods for Astrophysics · Physics 2025-05-26 Eric Thrane , Colm Talbot

We present a robust method to characterize the gravitational wave emission from the remnant of a neutron star coalescence. Our approach makes only minimal assumptions about the morphology of the signal and provides a full posterior…

General Relativity and Quantum Cosmology · Physics 2018-01-03 Katerina Chatziioannou , James Alexander Clark , Andreas Bauswein , Margaret Millhouse , Tyson B. Littenberg , Neil Cornish

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

We estimate the probability of detecting a gravitational wave signal from coalescing compact binaries in simulated data from a ground-based interferometer detector of gravitational radiation using Bayesian model selection. The simulated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Umstaetter , M. Tinto