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The increasing sensitivity of current and upcoming gravitational-wave (GW) detectors poses stringent requirements on the accuracy of the GW models used for data analysis. If these requirements are not met, systematic errors could dominate…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Lorenzo Pompili , Alessandra Buonanno , Michael Pürrer

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

Methodology · Statistics 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

We consider the problem of active learning for global sensitivity analysis of expensive black-box functions. Our aim is to efficiently learn the importance of different input variables, e.g., in vehicle safety experimentation, we study the…

Machine Learning · Computer Science 2024-10-22 Syrine Belakaria , Benjamin Letham , Janardhan Rao Doppa , Barbara Engelhardt , Stefano Ermon , Eytan Bakshy

In recent years, improvements in Deep Learning (DL) techniques towards Gravitational Wave (GW) astronomy have led to a significant rise in the development of various classification algorithms that have been successfully employed to extract…

High Energy Astrophysical Phenomena · Physics 2021-08-27 Shashwat Singh , Amitesh Singh , Ankul Prajapati , Kamlesh N Pathak

Uncertainty estimation for Reinforcement Learning (RL) is a critical component in control tasks where agents must balance safe exploration and efficient learning. While deep neural networks have enabled breakthroughs in RL, they often lack…

Machine Learning · Computer Science 2025-12-22 Matthijs van der Lende , Juan Cardenas-Cartagena

Hierarchical computational methods for multiscale mechanics such as the FE$^2$ and FE-FFT methods are generally accompanied by high computational costs. Data-driven approaches are able to speed the process up significantly by enabling to…

Computational Engineering, Finance, and Science · Computer Science 2021-11-03 Jan Niklas Fuhg , Michele Marino , Nikolaos Bouklas

Strategies to model the inspiral, merger and ringdown gravitational waveform of coalescing binaries are restricted in parameter space by the coverage of available numerical-relativity simulations. When more numerical waveforms become…

General Relativity and Quantum Cosmology · Physics 2019-01-10 Yoshinta Eka Setyawati , Frank Ohme , Sebastian Khan

In this paper, we study an application of deep learning to the advanced LIGO and advanced Virgo coincident detection of gravitational waves (GWs) from compact binary star mergers. This deep learning method is an extension of the Deep…

Instrumentation and Methods for Astrophysics · Physics 2019-02-20 Xilong Fan , Jin Li , Xin Li , Yuanhong Zhong , Junwei Cao

We introduce an explorative active learning (AL) algorithm based on Gaussian process regression and marginalized graph kernel (GPR-MGK) to explore chemical space with minimum cost. Using high-throughput molecular dynamics simulation to…

Machine Learning · Computer Science 2022-09-02 Yan Xiang , Yu-Hang Tang , Zheng Gong , Hongyi Liu , Liang Wu , Guang Lin , Huai Sun

With an increasing number of expected gravitational-wave detections of binary neutron star mergers, it is essential that gravitational-wave models employed for the analysis of observational data are able to describe generic compact binary…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Reetika Dudi , Tim Dietrich , Alireza Rashti , Bernd Bruegmann , Jan Steinhoff , Wolfgang Tichy

This paper introduces Polynomial Graphical Lasso (PGL), a new approach to learning graph structures from nodal signals. Our key contribution lies in modeling the signals as Gaussian and stationary on the graph, enabling the development of a…

Signal Processing · Electrical Eng. & Systems 2024-04-04 Andrei Buciulea , Jiaxi Ying , Antonio G. Marques , Daniel P. Palomar

The recent Nobel-prize-winning detections of gravitational waves from merging black holes and the subsequent detection of the collision of two neutron stars in coincidence with electromagnetic observations have inaugurated a new era of…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Daniel George , E. A. Huerta

Complex-valued signals are used in the modeling of many systems in engineering and science, hence being of fundamental interest. Often, random complex-valued signals are considered to be proper. A proper complex random variable or process…

Machine Learning · Computer Science 2015-02-19 Rafael Boloix-Tortosa , F. Javier Payán-Somet , Eva Arias-de-Reyna , Juan José Murillo-Fuentes

Gravitational wave astrophysics requires accurate evaluation of the Signal-to-Noise Ratio (SNR) and the Probability of Detection (Pdet) for applications such as population simulations and hierarchical Bayesian inference with selection…

Instrumentation and Methods for Astrophysics · Physics 2025-10-30 Hemantakumar Phurailatpam , Otto Akseli Hannuksela

Machine learning has emerged as a popular and powerful approach for solving problems in astrophysics. We review applications of machine learning techniques for the analysis of ground-based gravitational-wave detector data. Examples include…

In missions constrained by finite resources, efficient data collection is critical. Informative path planning, driven by automated decision-making, optimizes exploration by reducing the costs associated with accurate characterization of a…

Robotics · Computer Science 2024-11-04 Sapphira Akins , Hans Mertens , Frances Zhu

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

Instrumentation and Methods for Astrophysics · Physics 2025-07-31 Alexander Harvey Nitz

Gaussian process regression (GPR) is a non-parametric Bayesian technique for interpolating or fitting data. The main barrier to further uptake of this powerful tool rests in the computational costs associated with the matrices which arise…

Machine Learning · Statistics 2016-05-16 Christopher J. Moore , Alvin J. K. Chua , Christopher P. L. Berry , Jonathan R. Gair

Gravitational-wave data analysis relies on accurate and efficient methods to extract physical information from noisy detector signals, yet the increasing rate and complexity of observations represent a growing challenge. Deep learning…

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