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Recurrent neural networks (RNNs) have many advantages over more traditional system identification techniques. They may be applied to linear and nonlinear systems, and they require fewer modeling assumptions. However, these neural network…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Kaicheng Niu , Mi Zhou , Chaouki T. Abdallah , Mohammad Hayajneh

Massive black hole binaries (MBHBs) are binary systems formed by black holes with mass exceeding millions of solar masses, expected to form and evolve in the nuclei of galaxies. The extreme compact nature of such objects determines a loud…

High Energy Astrophysical Phenomena · Physics 2024-06-26 Matteo Bonetti , Alessia Franchini , Bruno Giovanni Galuzzi , Alberto Sesana

In recent years, deep learning techniques have outperformed traditional models in many machine learning tasks. Deep neural networks have successfully been applied to address time series forecasting problems, which is a very important topic…

Machine Learning · Computer Science 2021-04-09 Pedro Lara-Benítez , Manuel Carranza-García , José C. Riquelme

Accurate short-term energy consumption forecasting is essential for efficient power grid management, resource allocation, and market stability. Traditional time-series models often fail to capture the complex, non-linear dependencies and…

Computers and Society · Computer Science 2026-01-27 Abhishek Maity , Viraj Tukarul

We present techniques for successfully performing numerical relativity simulations of binary black holes with fourth-order accuracy. Our simulations are based on a new coding framework which currently supports higher order finite…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Y. Zlochower , J. G. Baker , M. Campanelli , C. O. Lousto

We present long term evolutions of a single black hole of mass $M$ with the BSSN system using pseudospectral methods. For our simulations we use the SGRID code where the BSSN system is implemented in its standard second order in space form.…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Wolfgang Tichy

Deep learning offers powerful tools for anticipating tipping points in complex systems, yet its potential for detecting flickering (noise-driven switching between coexisting stable states) remains unexplored. Flickering is a hallmark of…

Machine Learning · Computer Science 2025-09-08 Yazdan Babazadeh Maghsoodlo , Madhur Anand , Chris T. Bauch

The properties of precessing, coalescing binary black holes are presently inferred through comparison with two approximate models of compact binary coalescence. In this work we show these two models often disagree substantially when…

General Relativity and Quantum Cosmology · Physics 2018-01-03 A. R. Williamson , J. Lange , R. O'Shaughnessy , J. A. Clark , P. Kumar , J. Calderón Bustillo , J. Veitch

We present the numerical code PRECESSION: a new open-source python module to study the dynamics of precessing black-hole binaries in the post-Newtonian regime. The code provides a comprehensive toolbox to (i) study the evolution of the…

High Energy Astrophysical Phenomena · Physics 2017-12-19 Davide Gerosa , Michael Kesden

The orbital decay of binary systems is a critical process for understanding the evolution of massive binary black holes (MBBHs) and binary star formation. Performing high-resolution three-dimensional magnetohydrodynamic (MHD) simulations,…

Solar and Stellar Astrophysics · Physics 2026-04-20 Tomoaki Matsumoto , Kenta Hotokezaka , Kohei Inayoshi

Missions to small celestial bodies rely heavily on optical feature tracking for characterization of and relative navigation around the target body. While techniques for feature tracking based on deep learning are a promising alternative to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Travis Driver , Panagiotis Tsiotras

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. As a main result we derive a…

General Relativity and Quantum Cosmology · Physics 2015-05-04 László Árpád Gergely , Zoltán Keresztes

Relativistic Newtonian Dynamics, the simple model used previously for predicting accurately the anomalous precession of Mercury, is now applied to predict the periastron advance of a binary. The classical treatment of a binary as a two-body…

General Physics · Physics 2017-05-24 Y. Friedman , S. Livshitz , J. M. Steiner

This paper studies the formation and evolution of binary supermassive black holes (SMBHs) in rotating galactic nuclei, focusing on the role of stellar dynamics. We present the first N-body simulations that follow the evolution of the SMBHs…

Astrophysics · Physics 2011-02-11 Ingo Berentzen , Miguel Preto , Peter Berczik , David Merritt , Rainer Spurzem

Multivariate time series forecasting is an important machine learning problem across many domains, including predictions of solar plant energy output, electricity consumption, and traffic jam situation. Temporal data arise in these…

Machine Learning · Computer Science 2018-04-20 Guokun Lai , Wei-Cheng Chang , Yiming Yang , Hanxiao Liu

Data assimilation techniques are widely used to predict complex dynamical systems with uncertainties, based on time-series observation data. Error covariance matrices modelling is an important element in data assimilation algorithms which…

Machine Learning · Computer Science 2021-11-15 Sibo Cheng , Mingming Qiu

Simulation of quasicircular compact binaries is a major goal in numerical relativity, as they are expected to constitute most gravitational wave observations. However, given that orbital eccentricity is not well-defined in general…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Sarah Habib , Mark Scheel , Saul Teukolsky

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

The groundbreaking discoveries of gravitational waves from binary black-hole mergers and, most recently, coalescing neutron stars started a new era of Multi-Messenger Astrophysics and revolutionized our understanding of the Cosmos. Machine…

Instrumentation and Methods for Astrophysics · Physics 2021-07-08 Plamen G. Krastev

Binary black hole systems are typically assumed to evolve in vacuum. However, the environment surrounding the binary components can influence their properties, such as their tidal deformability, affecting the gravitational waveform produced…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Valerio De Luca , Loris Del Grosso , Francesco Iacovelli , Andrea Maselli , Emanuele Berti