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We present gwharmone, the first data-driven surrogate model for eccentric harmonics (as well as the full radiation content) of the dominant quadrupolar mode in eccentric, non-spinning binary black hole mergers. Our model is trained on 173…

\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…

The surrogate matrix methodology delivers low-cost approximations of matrices (i.e., surrogate matrices) which are normally computed in Galerkin methods via element-scale quadrature formulas. In this paper, the methodology is applied to a…

数值分析 · 数学 2020-09-14 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

Simulating a binary black hole (BBH) coalescence by solving Einstein's equations is computationally expensive, requiring days to months of supercomputing time. Using reduced order modeling techniques, we construct an accurate surrogate…

广义相对论与量子宇宙学 · 物理学 2015-10-09 Jonathan Blackman , Scott E. Field , Chad R. Galley , Bela Szilagyi , Mark A. Scheel , Manuel Tiglio , Daniel A. Hemberger

Recently, artificial neural networks have been gaining momentum in the field of gravitational wave astronomy, for example in surrogate modelling of computationally expensive waveform models for binary black hole inspiral and merger.…

Mathematical models of the human heart are increasingly playing a vital role in understanding the working mechanisms of the heart, both under healthy functioning and during disease. The aim is to aid medical practitioners diagnose and treat…

数值分析 · 数学 2023-11-13 Sridhar Chellappa , Barış Cansız , Lihong Feng , Peter Benner , Michael Kaliske

Fast and accurate waveform models are fundamentally important to modern gravitational wave astrophysics, enabling the study of merging compact objects like black holes and neutron stars. However, generating high-fidelity gravitational…

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

数值分析 · 数学 2026-03-16 Matteo Giacomini , Pedro Díez

Higher-order gravitational wave modes from quasi-circular, spinning, non-precessing binary black hole mergers encode key information about these systems' nonlinear dynamics. We model these waveforms using transformer architectures,…

广义相对论与量子宇宙学 · 物理学 2026-01-21 Victoria Tiki , Kiet Pham , Eliu Huerta

Recently, electromagnetic surrogate solvers, trained on solutions of Maxwell's equations under specific simulation conditions, enabled fast inference of computationally expensive simulations. However, conventional electromagnetic surrogate…

机器学习 · 计算机科学 2025-06-18 Joonhyuk Seo , Chanik Kang , Dongjin Seo , Haejun Chung

In the paper, a multi-objective evolutionary surrogate-assisted approach for the fast and effective generative design of coastal breakwaters is proposed. To approximate the computationally expensive objective functions, the deep…

神经与进化计算 · 计算机科学 2022-10-28 Nikita O. Starodubcev , Nikolay O. Nikitin , Anna V. Kalyuzhnaya

Improving predictive understanding of Earth system variability and change requires data-model integration. Efficient data-model integration for complex models requires surrogate modeling to reduce model evaluation time. However, building a…

机器学习 · 统计学 2019-01-17 Dan Lu , Daniel Ricciuto

In this communication a new algorithm is proposed to produce surrogates for pseudoperiodic time series. By imposing a few constraints on the noise components of pseudoperiodic data sets, we devise an effective method to generate surrogates.…

混沌动力学 · 物理学 2007-05-23 Xiaodong Luo , Tomomichi Nakamura , Michael Small

The remnant black hole from a binary coalescence emits ringdown gravitational waves characterized by quasinormal modes, which depend solely on the remnant's mass and spin. In contrast, the ringdown amplitudes and phases are determined by…

广义相对论与量子宇宙学 · 物理学 2024-12-04 Costantino Pacilio , Swetha Bhagwat , Francesco Nobili , Davide Gerosa

We propose an efficient surrogate modeling technique for uncertainty quantification. The method is based on a well-known dimension-adaptive collocation scheme. We improve the scheme by enhancing sparse polynomial surrogates with conformal…

计算工程、金融与科学 · 计算机科学 2020-05-20 Niklas Georg , Dimitrios Loukrezis , Ulrich Römer , Sebastian Schöps

Building design optimization often depends on physics-based simulation tools such as EnergyPlus, which, although accurate, are computationally expensive and slow. Surrogate models provide a faster alternative, yet most are…

机器学习 · 计算机科学 2026-03-13 Piragash Manmatharasan , Girma Bitsuamlak , Katarina Grolinger

Time series measured from real-world systems are generally noisy, complex and display statistical properties that evolve continuously over time. Here, we present a method that combines wavelet analysis and non-stationary surrogates to…

数据分析、统计与概率 · 物理学 2018-04-12 Mario Chavez , Bernard Cazelles

Characterizing the interior structure of exoplanets is an inverse problem often solved using Bayesian inference, but this approach is hampered by the high computational cost of planetary structure models. To overcome this barrier, we…

地球与行星天体物理 · 物理学 2025-12-22 Tijn De Wringer , Caroline Dorn , Emily O. Garvin , Stefano Marelli

Fast and accurate waveform models are necessary for measuring the properties of inspiraling binary neutron star systems such as GW170817. We present a frequency-domain surrogate version of the aligned-spin binary neutron star waveform model…

广义相对论与量子宇宙学 · 物理学 2019-07-10 Benjamin D. Lackey , Michael Pürrer , Andrea Taracchini , Sylvain Marsat

Physics simulators are essential in science and engineering, enabling the analysis, control, and design of complex systems. In experimental sciences, they are increasingly used to automate experimental design, often via combinatorial search…