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There is a strong need for high-accuracy and efficient modeling of extreme-mass-ratio binary black hole systems because these are strong sources of gravitational waves that would be detected by future observatories. In this article, we…

General Relativity and Quantum Cosmology · Physics 2012-06-04 Justin McKennon , Gary Forrester , Gaurav Khanna

Unmodelled searches and reconstruction is a critical aspect of gravitational wave data analysis, requiring sophisticated software tools for robust data analysis. This paper introduces PycWB, a user-friendly and modular Python-based…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Yumeng Xu , Shubhanshu Tiwari , Marco Drago

State-transition models are essential across epidemiology and ecology, but statistical inference remains challenging owing to high-dimensional latent state spaces, temporal dependence, and intractable likelihood functions. Bayesian…

Computation · Statistics 2026-05-12 Alin Morariu , Jess Bridgen , Chris Jewell

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

Gravitational wave (GW) detection is now commonplace and as the sensitivity of the global network of GW detectors improves, we will observe $\mathcal{O}(100)$s of transient GW events per year. The current methods used to estimate their…

Instrumentation and Methods for Astrophysics · Physics 2022-01-21 Hunter Gabbard , Chris Messenger , Ik Siong Heng , Francesco Tonolini , Roderick Murray-Smith

Extreme mass ratio inspirals (EMRIs) are compact binary systems characterized by a mass-ratio $q=m/M$ in the range $~10^{-9}-10^{-4}$ and represent primary gravitational wave (GW) sources for the forthcoming Laser Interferometer Space…

We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nelson Christensen , Renate Meyer

We present a prescription for computing gravitational waveforms for the inspiral, merger and ringdown of non-spinning eccentric binary black hole systems. The inspiral waveform is computed using the post-Newtonian expansion and the merger…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Ian Hinder , Lawrence E. Kidder , Harald P. Pfeiffer

Extreme mass ratio inspirals (EMRIs), as a core target for future space-based gravitational wave detection, offer crucial observational grounds for testing strong-field gravitational theories and classifying black holes through their…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Xiuqin He , Zhaoyi Xu , Meirong Tang

Compact binary systems with black holes are the primary sources of interferometric advanced gravitational wave detectors. Astrophysical models suggest finite possibility of binary systems with appreciable non-zero eccentricity in the dense…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Nirban Bose , Archana Pai

Orbital eccentricity is a key signature of dynamical binary black hole formation. The gravitational waves from a coalescing binary contain information about its orbital eccentricity, which may be measured if the binary retains sufficient…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Alan M. Knee , Isobel M. Romero-Shaw , Paul D. Lasky , Jess McIver , Eric Thrane

We compute gravitational waves from inspiraling stellar-mass compact objects on the equatorial plane of a massive spinning black hole (BH). Our inspiral orbits are computed by taking into account the adiabatic change of orbital parameters…

General Relativity and Quantum Cosmology · Physics 2020-09-10 Ryuichi Fujita , Masaru Shibata

Massive black hole binaries are the primary source of gravitational waves (GW) for the future eLISA observatory. The detection and parameter estimation of these sources to high redshift would provide invaluable information on the formation…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Edward K. Porter , Neil J. Cornish

Ground-based gravitational wave laser interferometers (LIGO, GEO-600, Virgo and Tama-300) have now reached high sensitivity and duty cycle. We present a Bayesian evidence-based approach to the search for gravitational waves, in particular…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John Veitch , Alberto Vecchio

We apply state-of-the-art, likelihood-free statistical inference (machine-learning-based) techniques for reconstructing the spectral shape of a gravitational wave background (GWB). We focus on the reconstruction of an arbitrarily shaped…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-09 Androniki Dimitriou , Daniel G. Figueroa , Bryan Zaldivar

Wide, highly eccentric ($e>0.9$) compact binaries can naturally arise as progenitors of gravitational wave (GW) mergers. These systems are expected to have a significant population in the mHz band (e.g., $\sim 3-45$ detectable stellar-mass…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Zeyuan Xuan , Smadar Naoz , Alvin K. Y. Li , Bence Kocsis , Erik Petigura , Alan M. Knee , Jess McIver , Kyle Kremer , Will M. Farr

Recent observations by the Event Horizon Telescope (EHT) of supermassive black holes M87* and Sgr A* offer valuable insights into their spacetime properties and astrophysical conditions. Utilizing a library of model images (~2 million for…

High Energy Astrophysical Phenomena · Physics 2024-09-25 A. I. Yfantis , S. Zhao , R. Gold , M. Mościbrodzka , A. E. Broderick

Extreme mass ratio inspirals (EMRIs) are among the primary targets for the Laser Interferometer Space Antenna (LISA). The extreme mass ratios of these systems result in relatively weak GW signals, that can be individually resolved only for…

Astrophysics of Galaxies · Physics 2023-02-15 Federico Pozzoli , Stanislav Babak , Alberto Sesana , Matteo Bonetti , Nikolaos Karnesis

We used two numerical models, namely the \texttt{CBwaves} and \texttt{SEOBNRE} algorithms, based on the post-Newtonian and effective-one-body approaches for binary black holes evolving on eccentric orbits. We performed 20.000 new…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Balázs Kacskovics , Dániel Barta

An extreme mass ratio inspiral takes place when a compact stellar object is inspiraling into a supermassive black hole due to gravitational radiation reaction. Gravitational waves (GWs) from this system can be calculated using the Teukolsky…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Viktor Skoupý , Georgios Lukes-Gerakopoulos