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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

This paper tackles the problem of missing data imputation for noisy and non-Gaussian data. A classical imputation method, the Expectation Maximization (EM) algorithm for Gaussian mixture models, has shown interesting properties when…

Machine Learning · Statistics 2023-05-23 Florian Mouret , Alexandre Hippert-Ferrer , Frédéric Pascal , Jean-Yves Tourneret

The forthcoming space-based gravitational-wave observatory Laser Interferometer Space Antenna (LISA) should enable the detection of Extreme Mass Ratio Inspirals (EMRIs), in which a stellar-mass compact object gradually inspirals into a…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Michal Stratený , Georgios Lukes-Gerakopoulos , Ondřej Zelenka

Waveform templates are a powerful tool for extracting and characterizing gravitational wave signals, acting as highly restrictive priors on the signal morphologies that allow us to extract weak events buried deep in the instrumental noise.…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Laura Sampson , Neil Cornish , Nicolas Yunes

The cumulative shrinkage process is an increasing shrinkage prior that can be employed within models in which additional terms are supposed to play a progressively negligible role. A natural application is to Gaussian factor models, where…

Computation · Statistics 2020-08-13 Sirio Legramanti

The inspirals of stellar-mass compact objects into supermassive black holes are some of the most exciting sources of gravitational waves for LISA. Detection of these sources using fully coherent matched filtering is computationally…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Linqing Wen , Yanbei Chen , Jonathan Gair

A compact object with a mass $\mathcal{O}(1 \sim 1000) M_{\odot}$, such as a black hole of stellar or primordial origin or a neutron star, and a much lighter exotic compact object with a subsolar mass could form a non-standard mini extreme…

Instrumentation and Methods for Astrophysics · Physics 2022-05-24 Huai-Ke Guo , Andrew Miller

Models of gravitational waveforms play a critical role in detecting and characterizing the gravitational waves (GWs) from compact binary coalescences. Waveforms from numerical relativity (NR), while highly accurate, are too computationally…

High Energy Astrophysical Phenomena · Physics 2018-01-03 Zoheyr Doctor , Ben Farr , Daniel E. Holz , Michael Pürrer

This paper represents a preliminary (pre-reviewing) version of a sublinear variational algorithm for isotropic Gaussian mixture models (GMMs). Further developments of the algorithm for GMMs with diagonal covariance matrices (instead of…

Machine Learning · Statistics 2022-06-22 Florian Hirschberger , Dennis Forster , Jörg Lücke

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

Extreme mass ratio inspirals (EMRIs) occur when a compact object orbits a much larger one, like a solar-mass black hole around a supermassive black hole. The orbit has 3 frequencies which evolve through the inspiral. If the orbital radial…

General Relativity and Quantum Cosmology · Physics 2017-06-16 C. P. L. Berry , R. H. Cole , P. Cañizares , J. R. Gair

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

Measuring accurate long-duration gravitational waves from extreme mass ratio inspirals (EMRIs) could provide scientifically fruitful knowledge of massive black hole populations and robust tests for general relatively during the LISA…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Charles Badger , José A. Font , Mairi Sakellariadou , Alejandro Torres-Forné

The space-based gravitational-wave detector eLISA has been selected as the ESA L3 mission, and the mission design will be finalised by the end of this decade. To prepare for mission formulation over the next few years, several outstanding…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Alvin J. K. Chua , Jonathan R. Gair

Parameter estimation on gravitational wave signals from compact binary coalescence (CBC) requires the evaluation of computationally intensive waveform models, typically the bottleneck in the analysis. This cost will increase further as low…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Serena Vinciguerra , John Veitch , Ilya Mandel

Gravitational waves from extreme mass-ratio inspirals (EMRIs), the inspirals of stellar-mass compact objects into massive black holes, are predicted to be observed by the Laser Interferometer Space Antenna (LISA). A sufficiently large…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shashwat Singh , Christian E. A. Chapman-Bird , Christopher P L Berry , John Veitch

It is not currently clear how important it will be to include conservative self-force (SF) corrections in the models for extreme-mass-ratio inspiral (EMRI) waveforms that will be used to detect such signals in LISA (Laser Interferometer…

General Relativity and Quantum Cosmology · Physics 2010-09-30 E. A. Huerta , Jonathan R Gair

Extreme mass-ratio inspirals (EMRIs), in which a solar mass compact object is whirling around a supermassive black hole, act as precise tracers of the spacetime geometry and astrophysical environment around the supermassive black hole.…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Mostafizur Rahman , Takuya Takahashi

The popular waveform templates of extreme-mass-ratio inspirals usually omit the mass-ratio corrections in the conservative dynamics, and employ adiabatic approximation to include the radiation reaction. With the help of effective-one-body…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Ping Shen , Wen-Biao Han , Chen Zhang , Shu-Cheng Yang , Xing-Yu Zhong , Ye Jiang , Qiuxin Cui

Extreme mass-ratio inspirals (EMRIs) offer a promising avenue to test extra-dimensional physics through gravitational wave (GW) observations. In this work, we study equatorial eccentric EMRIs around a spherically symmetric braneworld black…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Shailesh Kumar , Tieguang Zi , Arpan Bhattacharyya
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