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Deep learning has emerged as a promising approach for learning the nonlinear mapping between diffusion-weighted MR images and tissue parameters, which enables automatic and deep understanding of the brain microstructures. However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Wenxin Fan , Jian Cheng , Qiyuan Tian , Ruoyou Wu , Juan Zou , Zan Chen , Shanshan Wang

The ``differentiability gap'' presents a primary bottleneck in Earth system deep learning: since models cannot be trained directly on non-differentiable scientific metrics and must rely on smooth proxies (e.g., MSE), they often fail to…

Machine Learning · Computer Science 2026-04-14 Filippo Quarenghi , Ryan Cotsakis , Tom Beucler

To fully exploit the capabilities of next-generation gravitational wave detectors, we need to significantly improve the accuracy of our models of gravitational-wave-emitting systems. This paper focuses on one way of doing so: by taking…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Andrew Spiers , Adam Pound , Jordan Moxon

The future space-based gravitational wave observatories are expected to provide unprecedented opportunities to explore intricate characteristics of black hole binaries, particularly for extreme mass-ratio inspirals (EMRIs), in which a…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Tieguang Zi , Shailesh Kumar

Extreme-mass-ratio inspirals (EMRIs) are promising gravitational-wave (GW) sources for space-based GW detectors. EMRI signals typically have long durations, ranging from several months to several years, necessitating highly accurate GW…

General Relativity and Quantum Cosmology · Physics 2025-01-27 Lu-Jia Xu , Shu-Cheng Yang , Wen-Biao Han , Xing-Yu Zhong , Run-Dong Tang , Yuan-Hao Zhang

In this work, we develop the modified Teukolsky formalism that describes the GW radiation from a point mass orbiting around a perturbed Schwarzschild BH. This perturbation of the background spacetime induces a secular change in the orbital…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Michael LaHaye , Colin Weller , Dongjun Li , Patrick Bourg , Yanbei Chen , Huan Yang

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the key targets for future space-based gravitational wave detectors, such as LISA. The scientific potential of these sources can only be fully realized with fast and accurate waveform models.…

General Relativity and Quantum Cosmology · Physics 2025-04-29 Hassan Khalvati , Alessandro Santini , Francisco Duque , Lorenzo Speri , Jonathan Gair , Huan Yang , Richard Brito

We investigate the orbital dynamics and gravitational wave signatures of neutral Extreme Mass Ratio Inspirals (EMRIs) in the spacetime of a Kerr black hole immersed in an asymptotically uniform magnetic field, described by the exact…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Xiang-Qian Li , Hao-Peng Yan , Xiao-Jun Yue

A large number of theoretically predicted waveforms are required by matched-filtering searches for the gravitational-wave signals produced by compact binary coalescence. In order to substantially alleviate the computational burden in…

General Relativity and Quantum Cosmology · Physics 2018-06-11 Dániel Barta , Mátyás Vasúth

The Regge-Wheeler-Zerilli (RWZ) wave-equation describes Schwarzschild-Droste black hole perturbations. The source term contains a Dirac distribution and its derivative. We have previously designed a method of integration in time domain. It…

General Relativity and Quantum Cosmology · Physics 2016-03-22 P. Ritter , S. Aoudia , A. Spallicci , S. Cordier

Extreme mass-ratio inspirals (EMRIs) are binary systems where a compact object slowly inspirals into its much larger compact partner. Since we anticipate such systems to exist within and be dynamically influenced by the galactic center…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Makana Silva , Harrison G. Blake-Goszyk , Christopher M. Hirata

We implement a sample-efficient method for rapid and accurate emulation of semi-analytical galaxy formation models over a wide range of model outputs. We use ensembled deep learning algorithms to produce a fast emulator of an updated…

Astrophysics of Galaxies · Physics 2021-07-14 Edward J. Elliott , Carlton M. Baugh , Cedric G. Lacey

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

\texttt{gwNRHME} is a framework that converts multi-modal (i.e., containing several spherical harmonic modes) quasi-circular waveforms into their eccentric counterparts, provided the quadrupolar eccentric mode is known, by exploiting…

Current gravitational wave (GW) detections rely on the existence of libraries of theoretical waveforms. Consequently, finding new physics with GWs requires libraries of non-standard models, which are computationally demanding. We discuss…

General Relativity and Quantum Cosmology · Physics 2022-03-03 Felipe F. Freitas , Carlos A. R. Herdeiro , António P. Morais , António Onofre , Roman Pasechnik , Eugen Radu , Nicolas Sanchis-Gual , Rui Santos

We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstein equation with nonvanishing stress tensor can be decomposed…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Stephen R. Green , Stefan Hollands , Peter Zimmerman

We develop in this paper a framework of empirical gain maximization (EGM) to address the robust regression problem where heavy-tailed noise or outliers may present in the response variable. The idea of EGM is to approximate the density…

Machine Learning · Computer Science 2021-01-13 Yunlong Feng , Qiang Wu

Recent advances in meta-optics have enabled diverse functionalities in compact optical devices; however, conventional forward design approaches become inadequate as device complexity and scale grow. Inverse design offers a powerful…

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

The future space mission LISA will observe a wealth of gravitational-wave sources at millihertz frequencies. Of these, the extreme-mass-ratio inspirals of compact objects into massive black holes are the only sources that combine the…

General Relativity and Quantum Cosmology · Physics 2021-02-08 Alvin J. K. Chua , Michael L. Katz , Niels Warburton , Scott A. Hughes
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