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Gaussian processes (GPs) are a ubiquitous tool for geostatistical modeling with high levels of flexibility and interpretability, and the ability to make predictions at unseen spatial locations through a process called Kriging. Estimation of…

Machine Learning · Statistics 2024-11-12 Brandon R. Feng , Reetam Majumder , Brian J. Reich , Mohamed A. Abba

Space-based gravitational-wave observatories will detect the early inspiral of stellar-mass binary black holes and can track their eccentricity evolution. However, untargeted searches in the space band are computationally demanding and…

High Energy Astrophysical Phenomena · Physics 2026-05-01 Han Wang , Michael J. Williams , Ian Harry , Yi-Ming Hu

Understanding the properties of transient gravitational waves and their sources is of broad interest in physics and astronomy. Bayesian inference is the standard framework for astro-physical measurement in transient gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Rory Smith , Gregory Ashton , Avi Vajpeyi , Colm Talbot

I review the status of research, conducted by a variety of independent groups, aimed at the eventual observation of Extreme Mass Ratio Inspirals (EMRIs) with gravitational wave detectors. EMRIs are binary systems in which one of the objects…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Steve Drasco

Searches for gravitational waves (GWs) from binary black holes using interferometric GW detectors require the construction of template banks for performing matched filtering while analyzing the data. Placement of templates over the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Chinmay Kalaghatgi , Parameswaran Ajith , K. G. Arun

We present an accelerated pipeline, based on high-performance computing techniques and normalizing flows, for joint Bayesian parameter estimation and model selection and demonstrate its efficiency in gravitational wave astrophysics. We…

Instrumentation and Methods for Astrophysics · Physics 2024-11-01 Alicja Polanska , Thibeau Wouters , Peter T. H. Pang , Kaze K. W. Wong , Jason D. McEwen

In this paper, we present the Bayesian inference procedures for the parameters of the multivariate random effects model derived under the assumption of an elliptically contoured distribution when the Berger and Bernardo reference and the…

Methodology · Statistics 2023-05-26 Olha Bodnar , Taras Bodnar

Gravitational wave astronomy typically relies on rigorous, computationally expensive Bayesian analyses. Several methods have been developed to perform rapid Bayesian inference, but they are not yet used to inform our full analyses. We…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Metha Prathaban , Charlie Hoy , Michael J. Williams

With the anticipated launch of space-based gravitational wave detectors, including LISA, TaiJi, TianQin, and DECIGO, expected around 2030, the detection of gravitational waves generated by intermediate-mass black hole binaries (IMBBHs)…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Mengfei Sun , Jin Li

When 3D relative displacement $\mathbf{r}$ and velocity $\mathbf{v}$ between the pair in a gravitationally-bound system are precisely measured, the six measured quantities at one phase can allow elliptical orbit solutions at a given…

Astrophysics of Galaxies · Physics 2026-02-20 Kyu-Hyun Chae

We have analyzed LVK gravitational wave events that show some evidence of eccentricity from TEOBResumS modeling parameter estimations and have confronted them independently with full numerical generated waveforms from our bank of nearly two…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Patricia McMillin , Katelyn J. Wagner , Giuseppe Ficarra , Carlos O. Lousto , Richard O'Shaughnessy

I discuss the accuracy requirements on numerical relativity calculations of inspiraling compact object binaries whose extracted gravitational waveforms are to be used as templates for matched filtering signal extraction and physical…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Mark Miller

The population of stellar-mass, compact object binaries that merge with non-negligible eccentricity may be large enough to motivate searches with ground-based gravitational wave detectors. Such events could be exceptional laboratories to…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Nicholas Loutrel , Nicolas Yunes , Frans Pretorius

Detecting individual extreme-mass-ratio inspirals (EMRIs) is a major science goal of future space-based gravitational wave observatories such as Laser Interferometer Space Antenna (LISA) and TianQin. However, matched-filtering can be…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-24 Lingyuan Ji , Liang Dai

Extreme-mass-ratio inspirals (EMRIs), consisting of a massive black hole and a stellar compact object, are one of the most important sources for space-borne gravitational wave detectors like TianQin. Their population study can be used to…

High Energy Astrophysical Phenomena · Physics 2025-05-08 Hui-Min Fan , Xiang-Yu Lyu , Jian-dong Zhang , Yi-Ming Hu , Rong-Jia Yang , Tai-Fu Feng

Extreme mass-ratio inspirals (EMRIs), namely binary systems composed of a massive black hole and a compact stellar-mass object, are anticipated to be among the gravitational wave (GW) sources detected by the Laser Interferometer Space…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-23 Chang Liu , Danny Laghi , Nicola Tamanini

Observations of gravitational-wave signals emitted by compact binary inspirals provide unique insights into their properties, but their analysis requires accurate and efficient waveform models. Intermediate- and extreme-mass-ratio inspirals…

Extremely large mass-ratio inspirals (XMRIs), consisting of a brown dwarf orbiting a supermassive black hole, emit long-lived and nearly monochromatic gravitational waves in the millihertz band and constitute a promising probe of…

High Energy Astrophysical Phenomena · Physics 2026-02-02 Tian-Xiao Wang , Yan Wang , Alejandro Torres-Orjuela , Yi-Ren Lin , Hui-Min Fan , Verónica Vázquez-Aceves , Yi-Ming Hu

Extreme mass-ratio inspirals (EMRIs), with their long-lived and highly relativistic orbital evolution, can probe strong-field spacetime geometry and provide an important means to test general relativity. In this work, we investigate EMRI…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Sheng Long , Zhong-wu Xia , Huajie Gong , Zhoujian Cao , Qiyuan Pan , Jiliang Jing

Extreme Mass Ratio Inspirals (EMRIs) are key sources for the future space-based gravitational wave detector LISA, and are considered promising probes of fundamental physics. Here, we present the first complete Bayesian analysis of EMRI…