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The space based interferometer LISA will be capable of detecting the gravitational waves emitted by stellar mass black holes or neutron stars slowly inspiralling into the supermassive black holes found in the centre of most galaxies. The…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Christopher J. Moore , Alvin J. K. Chua , Jonathan R. Gair

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 show that the loudest extreme mass-ratio inspirals (EMRIs) detected by the future space-based gravitational wave detector LISA can be used as dark standard sirens, statistically matching their sky localisation region with mock galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-30 Danny Laghi

The Laser Interferometer Space Antenna (LISA) is expected to simultaneously detect many thousands of low frequency gravitational wave signals. This presents a data analysis challenge that is very different to the one encountered in ground…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Neil J. Cornish , Jeff Crowder

One of the greatest data analysis challenges for the Laser Interferometer Space Antenna (LISA) is the need to account for a large number of gravitational wave signals from compact binary systems expected to be present in the data. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Richard Umstätter , Nelson Christensen , Martin Hendry , Renate Meyer , Vimal Simha , John Veitch , Sarah Vigeland , Graham Woan

The Laser Interferometer Space Antenna (LISA) is expected to detect gravitational radiation from a large number of compact binary systems. We present a method by which these signals can be identified and have their parameters estimated. Our…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Richard Umstätter , Nelson Christensen , Martin Hendry , Renate Meyer , Vimal Simha , John Veitch , Sarah Vigeland , Graham Woan

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

One of the primary goals of space-borne gravitational wave detectors is to detect and analyze extreme-mass-ratio inspirals (EMRIs). This endeavor presents a significant challenge due to the complex and lengthy EMRI signals, further…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Qianyun Yun , Wen-Biao Han , Yi-Yang Guo , He Wang , Minghui Du

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the main sources of gravitational waves expected in the low-frequency band, where space-based detectors like Laser Interferometer Space Antenna (LISA) will operate. The large number of…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Pablo F. Muguruza , Carlos F. Sopuerta

Extreme Mass Ratio Inspirals (EMRIs) are key observational targets for the Laser Interferometer Space Antenna (LISA) mission. Unresolvable EMRI signals contribute to the formation of a gravitational wave background (GWB). Characterizing the…

High Energy Astrophysical Phenomena · Physics 2025-06-02 Manuel Piarulli , Riccardo Buscicchio , Federico Pozzoli , Ollie Burke , Matteo Bonetti , Alberto Sesana

Mini-Extreme-Mass-Ratio Inspirals (mini-EMRIs), comprising a sub-solar exotic compact object (such as a primordial black hole or boson star) orbiting a much heavier stellar-origin or exotic compact object, represent key targets for…

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

Extreme-mass-ratio inspirals (EMRIs) could be detected by space-borne gravitational-wave (GW) detectors, such as the Laser Interferometer Space Antenna (LISA), TianQin and Taiji. Localizing EMRIs by GW detectors can help us select candidate…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-29 Liang-Gui Zhu , Hui-Min Fan , Xian Chen , Yi-Ming Hu , Jian-dong Zhang

We consider the efficient use of an approximation within Markov chain Monte Carlo (MCMC), with subsequent importance sampling (IS) correction of the Markov chain inexact output, leading to asymptotically exact inference. We detail…

Computation · Statistics 2019-04-15 Jordan Franks

Deriving Bayesian inference for exponential random graph models (ERGMs) is a challenging "doubly intractable" problem as the normalizing constants of the likelihood and posterior density are both intractable. Markov chain Monte Carlo (MCMC)…

Computation · Statistics 2019-11-26 Linda S. L. Tan , Nial Friel

Likelihood-based inference in stochastic non-linear dynamical systems, such as those found in chemical reaction networks and biological clock systems, is inherently complex and has largely been limited to small and unrealistically simple…

Computation · Statistics 2024-07-08 Ben Swallow , David A. Rand , Giorgos Minas

In this paper we consider Bayesian estimation for the parameters of inverse Gaussian distribution. Our emphasis is on Markov Chain Monte Carlo methods. We provide complete implementation of the Gibbs sampler algorithm. Assuming an…

Methodology · Statistics 2012-10-17 B. N. Pandey , Pulastya Bandyopadhyay

Bayesian inference for exponential family random graph models (ERGMs) is a doubly-intractable problem because of the intractability of both the likelihood and posterior normalizing factor. Auxiliary variable based Markov Chain Monte Carlo…

Computation · Statistics 2020-07-15 Fan Yin , Carter T. Butts

We study Bayesian methods for large-scale linear inverse problems, focusing on the challenging task of hyperparameter estimation. Typical hierarchical Bayesian formulations that follow a Markov Chain Monte Carlo approach are possible for…

Numerical Analysis · Mathematics 2024-01-05 Khalil A Hall-Hooper , Arvind K Saibaba , Julianne Chung , Scot M Miller

The Laser Interferometer Space Antenna (LISA) will enable precision studies of Extreme and Intermediate Mass Ratio Inspirals (EMRIs/IMRIs), providing unique probes of astrophysical environments of galactic nuclei and strong-field gravity.…

Instrumentation and Methods for Astrophysics · Physics 2026-03-19 Lorenzo Speri , Francisco Duque , Susanna Barsanti , Alessandro Santini , Shubham Kejriwal , Ollie Burke , Christian E. A. Chapman-Bird

The Laser Interferometer Space Antenna (LISA) will open the mHz frequency window of the gravitational wave (GW) landscape. Among all the new GW sources expected to emit in this frequency band, extreme mass-ratio inspirals (EMRIs) constitute…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Danny Laghi , Nicola Tamanini , Walter Del Pozzo , Alberto Sesana , Jonathan Gair , Stanislav Babak , David Izquierdo-Villalba