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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

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

We first use five non-spinning and two mildly spinning (chi_i \simeq -0.44, +0.44) numerical-relativity waveforms of black-hole binaries and calibrate an effective-one-body (EOB) model for non-precessing spinning binaries, notably its…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Andrea Taracchini , Yi Pan , Alessandra Buonanno , Enrico Barausse , Michael Boyle , Tony Chu , Geoffrey Lovelace , Harald P. Pfeiffer , Mark A. Scheel

We characterize and phenomenologically model the merger-ringdown of gravitational waves emitted by a small compact object that plunges and merges into a Kerr black hole from equatorial-eccentric inspirals. The waveforms are generated…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Guglielmo Faggioli , Alessandra Buonanno , Maarten van de Meent , Gaurav Khanna

We develop an optimization-based algorithm for parametric model order reduction (PMOR) of linear time-invariant dynamical systems. Our method aims at minimizing the $\mathcal{H}_\infty \otimes \mathcal{L}_\infty$ approximation error in the…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Paul Schwerdtner , Manuel Schaller

In the age of multi-messenger astrophysics, low-latency parameter estimation of gravitational-wave signals is essential for electromagnetic follow-up observations. In this paper, we present a new edition of the Bayesian parameter estimation…

General Relativity and Quantum Cosmology · Physics 2022-01-17 Caitlin A. Rose , Vinaya Valsan , Patrick R. Brady , Sinead Walsh , Chris Pankow

As gravitational wave (GW) detector networks continue to improve in sensitivity, the demand on the accuracy of waveform models which predict the GW signals from compact binary coalescences is becoming more stringent. At high signal-to-noise…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Ritesh Bachhar , Michael Pürrer , Stephen R. Green

Inferring the astrophysical parameters of coalescing compact binaries is a key science goal of the upcoming advanced LIGO-Virgo gravitational-wave detector network and, more generally, gravitational-wave astronomy. However, current…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Priscilla Canizares , Scott E. Field , Jonathan Gair , Vivien Raymond , Rory Smith , Manuel Tiglio

The concept of learning to optimize involves utilizing a trainable optimization strategy rather than relying on manually defined full gradient estimations such as ADAM. We present a framework that jointly trains the full gradient estimator…

Machine Learning · Computer Science 2026-01-30 Ruiqi Wang , Diego Klabjan

Orbital eccentricity encodes key information about compact-binary formation channels and astrophysical environments, making it a critical target for gravitational-wave (GW) inference. We present parameter-estimation (PE) analyses of GWs…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Lorenzo Pompili , Aldo Gamboa , Alessandra Buonanno

Fast and reliable inference of gravitational-wave source parameters is crucial for analyzing large catalogs that are reaching the size of hundreds of detections, and for identifying short-lived electromagnetic counterparts. Neural posterior…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Javier Roulet , Marco Crisostomi , Lucy M. Thomas , Katerina Chatziioannou

We calibrate the effective-one-body (EOB) model to an accurate numerical simulation of an equal-mass, non-spinning binary black-hole coalescence produced by the Caltech-Cornell collaboration. Aligning the EOB and numerical waveforms at low…

General Relativity and Quantum Cosmology · Physics 2009-08-03 Alessandra Buonanno , Yi Pan , Harald P. Pfeiffer , Mark A. Scheel , Luisa T. Buchman , Lawrence E. Kidder

Continuous-wave (CW) gravitational waves (GWs) call for computationally-intensive methods. Low signal-to-noise ratio signals need templated searches with long coherent integration times and thus fine parameter-space resolution. Longer…

Instrumentation and Methods for Astrophysics · Physics 2018-02-21 Grant David Meadors , Badri Krishnan , Maria Alessandra Papa , John T. Whelan , Yuanhao Zhang

Reliable low-latency gravitational wave parameter estimation is essential to target limited electromagnetic followup facilities toward astrophysically interesting and electromagnetically relevant sources of gravitational waves. In this…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Brandon Miller , Richard O'Shaughnessy , Tyson B. Littenberg , Ben Farr

We construct an inspiral-merger-ringdown eccentric gravitational-wave (GW) model for binary black holes with non-precessing spins within the effective-one-body formalism. This waveform model, SEOBNRv4EHM, extends the accurate quasi-circular…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Antoni Ramos-Buades , Alessandra Buonanno , Mohammed Khalil , Serguei Ossokine

We investigate the use of particle swarm optimization (PSO) algorithm for detection of gravitational-wave signals from compact binary coalescences. We show that the PSO is fast and effective in searching for gravitational wave signals. The…

Instrumentation and Methods for Astrophysics · Physics 2018-11-16 Varun Srivastava , K Rajesh Nayak , Sukanta Bose

This paper focuses on radar waveform optimization for minimizing the Cram\'er-Rao bound (CRB) in a multiple-input multiple-output (MIMO) radar system. In contrast to conventional approaches relying on semi-definite programming (SDP) and…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Xiaohua Zhou , Xu Du , Yijie Mao

We give sublinear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclosing balls. Our algorithms can be extended to some kernelized versions…

Machine Learning · Computer Science 2010-10-22 Kenneth L. Clarkson , Elad Hazan , David P. Woodruff

Inferring astrophysical information from gravitational waves emitted by compact binaries is one of the key science goals of gravitational-wave astronomy. In order to reach the full scientific potential of gravitational-wave experiments we…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Rory Smith , Scott E. Field , Kent Blackburn , Carl-Johan Haster , Michael Pürrer , Vivien Raymond , Patricia Schmidt

Coalescing binaries of neutron stars (NS) and black holes (BH) are one of the most important sources of gravitational waves for the upcoming network of ground based detectors. Detection and extraction of astrophysical information from…

General Relativity and Quantum Cosmology · Physics 2016-08-08 Prayush Kumar , Kevin Barkett , Swetha Bhagwat , Nousha Afshari , Duncan A. Brown , Geoffrey Lovelace , Mark A. Scheel , Béla Szilágyi