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The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

Image and Video Processing · Electrical Eng. & Systems 2020-10-01 Xihaier Luo , Ahsan Kareem

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

Accurate models of merger remnants are increasingly important for gravitational-wave science, including precision tests of gravity with ringdown, inference of black-hole populations, and modeling hierarchical mergers. For eccentric…

This work introduces a surrogate-based model for efficiently estimating the frequency response of dynamic mechanical metamaterials, particularly when dealing with large parametric perturbations and aperiodic substructures. The research…

Computational Engineering, Finance, and Science · Computer Science 2025-11-06 J. Pereira , R. O. Ruiz

Agent-based modeling (ABM) is a powerful computational approach for studying complex biological and biomedical systems, yet its widespread use remains limited by significant computational demands. As models become increasingly…

Quantitative Methods · Quantitative Biology 2025-04-17 Kerri-Ann Norton , Daniel Bergman , Harsh Vardhan Jain , Trachette Jackson

Identifying weak gravitational wave signals in noise and estimating the source properties require high-precision waveform templates. Numerical relativity (NR) simulations can provide the most accurate waveforms. However, it is challenging…

General Relativity and Quantum Cosmology · Physics 2025-03-07 Xing-Yu Zhong , Wen-Biao Han , Ling Sun

Only numerical relativity simulations can capture the full complexities of binary black hole mergers. These simulations, however, are prohibitively expensive for direct data analysis applications such as parameter estimation. We present two…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Vijay Varma , Scott E. Field , Mark A. Scheel , Jonathan Blackman , Davide Gerosa , Leo C. Stein , Lawrence E. Kidder , Harald P. Pfeiffer

[Abridged] We introduce an improved version of the Eccentric, Non-spinning, Inspiral-Gaussian-process Merger Approximant (ENIGMA) waveform model. We find that this ready-to-use model can: (i) produce physically consistent signals when…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Zhuo Chen , E. A. Huerta , Joseph Adamo , Roland Haas , Eamonn O'Shea , Prayush Kumar , Chris Moore

The computational resources required to solve the full 3D inversion of time-domain electromagnetic data are immense. To overcome the time-consuming 3D simulations, we construct a surrogate model, more precisely, a data-driven statistical…

Geophysics · Physics 2024-07-10 Wouter Deleersnyder , David Dudal , Thomas Hermans

Accurately modeling the spatio-temporal dynamics of blast wave propagation remains a longstanding challenge due to its highly nonlinear behavior, sharp gradients, and burdensome computational cost. While machine learning-based surrogate…

Machine Learning · Computer Science 2026-03-19 Danning Jing , Xinhai Chen , Xifeng Pu , Jie Hu , Chao Huang , Xuguang Chen , Qinglin Wang , Jie Liu

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

We apply machine learning methods to build a time-domain model for gravitational waveforms from binary black hole mergers, called mlgw. The dimensionality of the problem is handled by representing the waveform's amplitude and phase using a…

Gaussian process surrogates are a popular alternative to directly using computationally expensive simulation models. When the simulation output consists of many responses, dimension-reduction techniques are often employed to construct these…

Methodology · Statistics 2023-05-04 Moses Y-H. Chan , Matthew Plumlee , Stefan M. Wild

Binary black hole systems are among the most important sources for gravitational wave detection. And also they are good objects for theoretical research for general relativity. Gravitational waveform template is important to data analysis.…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Zhoujian Cao , Wen-Biao Han

A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

Machine Learning · Computer Science 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

Computer simulations, especially of complex phenomena, can be expensive, requiring high-performance computing resources. Often, to understand a phenomenon, multiple simulations are run, each with a different set of simulation input…

Machine Learning · Computer Science 2023-07-06 Chandrika Kamath , Juliette S. Franzman , Brian H. Daub

Gravitational waves radiated during binary black hole coalescence is a perfect probe for studying the characteristics of strong gravity. Advanced techniques for creating numerical relativity substitute models for eccentric binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Sourav Roy Chowdhury , Maxim Khlopov

Bayesian formulations of inverse problems are attractive for their ability to incorporate prior knowledge and update probabilistic models as new data become available. Markov chain Monte Carlo (MCMC) methods sample posterior probability…

Geophysics · Physics 2025-05-07 Giovanni Angelo Meles , Stefano Marelli , Niklas Linde

We present a surrogate model of \texttt{SEOBNRv4PHM}, a fully precessing time-domain effective-one-body waveform model including subdominant modes. We follow an approach similar to that used to build recent numerical relativity surrogate…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Bhooshan Gadre , Michael Pürrer , Scott E. Field , Serguei Ossokine , Vijay Varma

We present BHPTNRSur2dq1e3, a reduced order surrogate model of gravitational waves emitted from binary black hole (BBH) systems in the comparable to large mass ratio regime with aligned spin ($\chi_1$) on the heavier mass ($m_1$). We…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Katie Rink , Ritesh Bachhar , Tousif Islam , Nur E. M. Rifat , Kevin Gonzalez-Quesada , Scott E. Field , Gaurav Khanna , Scott A. Hughes , Vijay Varma