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We present a parameter estimation procedure based on a Bayesian framework by applying a Markov Chain Monte Carlo algorithm to the calibration of the dynamical parameters of a space based gravitational wave detector. The method is based on…

General Relativity and Quantum Cosmology · Physics 2012-12-03 Luigi Ferraioli , Edward K. Porter , Eric Plagnol

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

This paper proposes a new approach for Bayesian and maximum likelihood parameter estimation for stationary Gaussian processes observed on a large lattice with missing values. We propose an MCMC approach for Bayesian inference, and a Monte…

Computation · Statistics 2014-02-19 Jonathan R. Stroud , Michael L. Stein , Shaun Lysen

Mini-extreme-mass-ratio inspirals (mini-EMRIs), composed of a stellar-mass compact object and a much lighter companion, are promising sources of continuous gravitational waves in the frequency band of ground-based interferometers such as…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Zi-Xuan Wang , Gong Cheng , Ju Chen , Huai-Ke Guo , Andrew L. Miller

Extreme mass ratio inspirals (EMRIs), i.e. binary systems comprised by a compact stellar-mass object orbiting a massive black hole, are expected to be among the primary gravitational wave (GW) sources for the forthcoming LISA mission. The…

Astrophysics of Galaxies · Physics 2020-11-25 Matteo Bonetti , Alberto Sesana

The space-based Laser Interferometer Space Antenna (LISA) will be able to observe the gravitational-wave signals from systems comprised of a massive black hole and a stellar-mass compact object. These systems are known as extreme-mass-ratio…

With the advance in computational resources, Bayesian inference is increasingly becoming the standard tool of practise in GW astronomy. However, algorithms such as Markov Chain Monte Carlo (MCMC) require a large number of iterations to…

General Relativity and Quantum Cosmology · Physics 2014-11-04 Edward K. Porter

In recent years, methods for Bayesian inference have been widely used in many different problems in physics where detection and characterization are necessary. Data analysis in gravitational-wave astronomy is a prime example of such a case.…

Instrumentation and Methods for Astrophysics · Physics 2023-10-11 Nikolaos Karnesis , Michael L. Katz , Natalia Korsakova , Jonathan R. Gair , Nikolaos Stergioulas

Extreme mass ratio inspirals (EMRIs) are among the most interesting gravitational wave (GW) sources for space-borne GW detectors. However, successful GW data analysis remains challenging due to many issues, ranging from the difficulty of…

High Energy Astrophysical Phenomena · Physics 2022-07-13 Xue-Ting Zhang , Chris Messenger , Natalia Korsakova , Man Leong Chan , Yi-Ming Hu , Jing-dong Zhang

We describe a simple and efficient Python code to perform Bayesian forecasting for gravitational waves (GW) produced by Extreme-Mass-Ratio-Inspiral systems (EMRIs). The code runs on GPUs for an efficient parallelised computation of…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Ippocratis D. Saltas , Roberto Oliveri

We demonstrate the use of automatic Bayesian inference for the analysis of LISA data sets. In particular we describe a new automatic Reversible Jump Markov Chain Monte Carlo method to evaluate the posterior probability density functions of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander Stroeer , Jonathan Gair , Alberto Vecchio

Extreme mass ratio inspirals (EMRIs) provide unique probes of near-horizon dissipation through the tidal heating. We present a full Bayesian analysis of tidal heating in equatorial eccentric EMRIs by performing injection-recovery studies…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Zhong-Wu Xia , Sheng Long , Qiyuan Pan , Jiliang Jing , Wei-Liang Qian

Extreme mass ratio inspirals (EMRIs), where a compact object orbits a massive black hole, are a key source of gravitational waves for the future Laser Interferometer Space Antenna (LISA). Due to their small mass ratio, ($\epsilon \sim…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Philip Lynch , Vojtěch Witzany , Maarten van de Meent , Niels Warburton

Exponential random graph models are extremely difficult models to handle from a statistical viewpoint, since their normalising constant, which depends on model parameters, is available only in very trivial cases. We show how inference can…

Applications · Statistics 2010-09-30 Alberto Caimo , Nial Friel

Extreme mass-ratio inspirals pose a difficult challenge in terms of both search and parameter estimation for upcoming space-based gravitational-wave detectors such as LISA. Their signals are long and of complex morphology, meaning they…

General Relativity and Quantum Cosmology · Physics 2025-05-23 Philippa S. Cole , James Alvey , Lorenzo Speri , Christoph Weniger , Uddipta Bhardwaj , Davide Gerosa , Gianfranco Bertone

Gravitational waves from extreme mass-ratio inspirals (EMRIs) will enable sub-percent measurements of massive black hole parameters and provide access to the demographics of compact objects in galactic nuclei. During the LISA mission,…

High Energy Astrophysical Phenomena · Physics 2026-01-22 Shashwat Singh , Christian E. A. Chapman-Bird , Christopher P. L. Berry , John Veitch

In this paper we describe a Bayesian inference framework for analysis of data obtained by LISA. We set up a model for binary inspiral signals as defined for the Mock LISA Data Challenge 1.2 (MLDC), and implemented a Markov chain Monte Carlo…

Extreme mass-ratio inspirals~(EMRIs) detectable by the Laser Inteferometric Space Antenna~(LISA) are unique probes of astrophysics and fundamental physics. Parameter estimation for these sources is challenging, especially because the…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Gabriel Andres Piovano , Richard Brito , Andrea Maselli , Paolo Pani

The inspirals of compact objects into massive black holes are some of the most exciting of the potential sources of gravitational waves for the planned Laser Interferometer Space Antenna (LISA). Observations of such extreme mass ratio…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Jonathan R Gair

One of the sources of gravitational waves for the proposed space-based gravitational wave detector, the Laser Interferometer Space Antenna (LISA), are the inspirals of compact objects into supermassive black holes in the centres of galaxies…

Astrophysics of Galaxies · Physics 2010-05-25 Jonathan R. Gair , Christopher Tang , Marta Volonteri