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We present a parameter estimation framework for gravitational wave (GW) signals that brings together several ideas to accelerate the inference process. First, we use the relative binning algorithm to evaluate the signal-to-noise-ratio…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Tousif Islam , Javier Roulet , Tejaswi Venumadhav

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

Gravitational wave (GW) astronomy is witnessing a transformative shift from terrestrial to space-based detection, with missions like Taiji at the forefront. While the transition brings unprecedented opportunities for exploring massive black…

Instrumentation and Methods for Astrophysics · Physics 2024-02-21 Minghui Du , Bo Liang , He Wang , Peng Xu , Ziren Luo , Yueliang Wu

This thesis explores parameter estimation methods for rapidly reconstructing compact binary sources generating gravitational waves. It employs numerical linear algebra and meshfree approximation techniques to expedite waveform generation…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Lalit Pathak

Extended sources of the stochastic gravitational backgrounds have been conventionally searched on the spherical harmonics bases. The analysis during the previous observing runs by the ground-based gravitational wave detectors, such LIGO and…

Instrumentation and Methods for Astrophysics · Physics 2023-02-08 Leo Tsukada , Santiago Jaraba , Deepali Agarwal , Erik Floden

We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

The canonical methods for gravitational wave detection are ground- and space-based laser interferometry, pulsar timing, and polarization of the cosmic microwave background. But as has been suggested by numerous investigators, astrometry…

Instrumentation and Methods for Astrophysics · Physics 2018-07-25 Jeremy Darling , Alexandra E. Truebenbach , Jennie Paine

A stochastic gravitational-wave (GW) background consists of a large number of weak, independent and uncorrelated events of astrophysical or cosmological origin. The GW power on the sky is assumed to contain anisotropies on top of an…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Liting Xiao , Arianna I. Renzini , Alan J. Weinstein

The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

Space-based gravitational wave (GW) detectors will be able to observe signals from sources that are otherwise nearly impossible from current ground-based detection. Consequently, the well established signal detection method, matched…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Tianyu Zhao , Ruoxi Lyu , He Wang , Zhoujian Cao , Zhixiang Ren

Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component…

High Energy Astrophysical Phenomena · Physics 2015-06-12 R. J. E. Smith , K. Cannon , C. Hanna , D. Keppel , I. Mandel

In this study, we investigate the role of the non-linear memory effect in gravitational wave (GW) parameter estimation, particularly we explore its capability to break the degeneracy between luminosity distance and inclination angle in…

2015 will see the first observations of Advanced LIGO and the start of the gravitational-wave (GW) advanced-detector era. One of the most promising sources for ground-based GW detectors are binary neutron-star (BNS) coalescences. In order…

High Energy Astrophysical Phenomena · Physics 2016-06-06 C P L Berry , B Farr , W M Farr , C-J Haster , I Mandel , H Middleton , L P Singer , A L Urban , A Vecchio , S Vitale , K Cannon , P B Graff , C Hanna , S Mohapatra , C Pankow , L R Price , T Sidery , J Veitch

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Qian Hu , John Veitch

We perform tests of General Relativity (GR) with gravitational waves (GWs) from the inspiral stage of compact binaries using a theory-independent framework, which adds generic phase corrections to each multipole of a GR waveform model in…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Ajit Kumar Mehta , Alessandra Buonanno , Roberto Cotesta , Abhirup Ghosh , Noah Sennett , Jan Steinhoff

Tests of general relativity (GR) with gravitational waves (GWs) introduce additional deviation parameters in the waveform model. The enlarged parameter space makes inference computationally costly, which has so far limited systematic,…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Dhruv Kumar , Ish Gupta , Bangalore Sathyaprakash

The advanced world-wide network of gravitational waves (GW) observatories is scheduled to begin operations within the current decade. Thanks to their improved sensitivity, they promise to yield a number of detections and thus to open a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Walter Del Pozzo

We present a method for detection and reconstruction of the gravitational-wave (GW) transients with the networks of advanced detectors. Originally designed to search for transients with the initial GW detectors, it uses significantly…

General Relativity and Quantum Cosmology · Physics 2016-02-17 S. Klimenko , G. Vedovato , M. Drago , F. Salemi , V. Tiwari , G. A. Prodi , C. Lazzaro , K. Ackley , S. Tiwari , C. F. Da Silva Cost- , G. Mitselmakher

We simulate the response of a Storage Ring Gravitational-Wave Observatory (SRGO) to astrophysical millihertz (mHz) gravitational waves (GWs), numerically obtaining its sensitivity curve and optimal choices for some controllable experiment…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Suvrat Rao , Julia Baumgarten , Jochen Liske , Marcus Brüggen

The upcoming gravitational wave (GW) observatory LISA will measure the parameters of sources like extreme-mass-ratio inspirals (EMRIs) to exquisite precision. These measurements will also be sensitive to perturbations to the vacuum,…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Shubham Kejriwal , Francisco Duque , Alvin J. K. Chua , Jonathan Gair