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The term `surrogate modeling' in computational science and engineering refers to the development of computationally efficient approximations for expensive simulations, such as those arising from numerical solution of partial differential…

Numerical Analysis · Mathematics 2022-08-12 Maarten V. de Hoop , Daniel Zhengyu Huang , Elizabeth Qian , Andrew M. Stuart

Herein, we present a new data-driven multiscale framework called FE${}^\text{ANN}$ which is based on two main keystones: the usage of physics-constrained artificial neural networks (ANNs) as macroscopic surrogate models and an autonomous…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Karl A. Kalina , Lennart Linden , Jörg Brummund , Markus Kästner

Systematic exploration of Agent-Based Models (ABMs) is challenged by the curse of dimensionality and their inherent stochasticity. We present a multi-stage pipeline integrating the systematic design of experiments with machine learning…

Machine Learning · Computer Science 2026-04-07 Paul Saves , Matthieu Mastio , Nicolas Verstaevel , Benoit Gaudou

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

Optimization and Control · Mathematics 2025-05-13 Boyang Shen , Junyi Liu

Surrogate modeling is a viable solution for applications involving repetitive evaluations of expensive computational fluid dynamics models, such as uncertainty quantification and inverse problems. This study proposes a multi-layer…

Fluid Dynamics · Physics 2024-06-24 Gurpreet S. Hora , Marco G. Giometto

From their birth in the manufacturing process, materials inherently contain defects that affect the mechanical behavior across multiple length and time-scales, including vacancies, dislocations, voids and cracks. Understanding, modeling,…

Materials Science · Physics 2020-12-10 Eduardo A. Barros de Moraes , Jorge L. Suzuki , Mohsen Zayernouri

High-fidelity numerical simulations of partial differential equations (PDEs) given a restricted computational budget can significantly limit the number of parameter configurations considered and/or time window evaluated for modeling a given…

Machine Learning · Computer Science 2023-09-04 Paolo Conti , Mengwu Guo , Andrea Manzoni , Attilio Frangi , Steven L. Brunton , J. Nathan Kutz

This paper presents a methodology to learn surrogate models of steady state fluid dynamics simulations on meshed domains, based on Implicit Neural Representations (INRs). The proposed models can be applied directly to unstructured domains…

Computational Engineering, Finance, and Science · Computer Science 2024-10-29 Giovanni Catalani , Siddhant Agarwal , Xavier Bertrand , Frederic Tost , Michael Bauerheim , Joseph Morlier

Molecular dynamics (MD) has served as a powerful tool for designing materials with reduced reliance on laboratory testing. However, the use of MD directly to treat the deformation and failure of materials at the mesoscale is still largely…

Materials Science · Physics 2023-01-12 Huaiqian You , Xiao Xu , Yue Yu , Stewart Silling , Marta D'Elia , John Foster

Recently, surrogate models based on deep learning have attracted much attention for engineering analysis and optimization. As the construction of data pairs in most engineering problems is time-consuming, data acquisition is becoming the…

Machine Learning · Computer Science 2021-09-28 Xiaoyu Zhao , Zhiqiang Gong , Yunyang Zhang , Wen Yao , Xiaoqian Chen

Accurately predicting the behavior of a nuclear reactor requires multiphysics simulation of coupled neutronics, thermal-hydraulics and fuel thermo-mechanics. The fuel thermo-mechanical response provides essential information for operational…

Computational Engineering, Finance, and Science · Computer Science 2021-04-21 Yifeng Che , Joseph Yurko , Koroush Shirvan

We create an data-efficient and accurate surrogate model for structure-property linkages of spinodoid metamaterials with only 75 data points -- far fewer than the several thousands used in prior works -- and demonstrate its use in…

Computational Engineering, Finance, and Science · Computer Science 2025-05-12 Max Rosenkranz , Markus Kästner , Ivo F. Sbalzarini

Self-supervised pretraining from static structures of drug-like compounds and proteins enable powerful learned feature representations. Learned features demonstrate state of the art performance on a range of predictive tasks including…

Biomolecules · Quantitative Biology 2025-09-12 Derek Jones , Yue Yang , Felice C. Lightstone , Niema Moshiri , Jonathan E. Allen , Tajana S. Rosing

Machine learning methods are increasingly used to build computationally inexpensive surrogates for complex physical models. The predictive capability of these surrogates suffers when data are noisy, sparse, or time-dependent. As we are…

Machine Learning · Computer Science 2024-05-20 A. Diaw , M. McKerns , I. Sagert , L. G. Stanton , M. S. Murillo

Biophysical neural system simulations are among the most computationally demanding scientific applications, and their optimization requires navigating high-dimensional parameter spaces under numerous constraints that impose a binary…

We study the interplay between surrogate methods for structured prediction and techniques from multitask learning designed to leverage relationships between surrogate outputs. We propose an efficient algorithm based on trace norm…

Machine Learning · Computer Science 2019-03-05 Giulia Luise , Dimitris Stamos , Massimiliano Pontil , Carlo Ciliberto

Concrete subjected to combined compressive stresses and temperature loading exhibits compressive strains, which are considerably greater than for concrete subjected to compressive stresses alone. This phenomenon is called transient thermal…

Materials Science · Physics 2009-11-02 Peter Grassl , Chris J. Pearce

The mechanical behavior of inelastic materials with microstructure is very complex and hard to grasp with heuristic, empirical constitutive models. For this purpose, multiscale, homogenization approaches are often used for performing…

Materials Science · Physics 2022-06-22 Filippo Masi , Ioannis Stefanou

This chapter deals with kernel methods as a special class of techniques for surrogate modeling. Kernel methods have proven to be efficient in machine learning, pattern recognition and signal analysis due to their flexibility, excellent…

Numerical Analysis · Mathematics 2022-10-31 Gabriele Santin , Bernard Haasdonk

Mechanical modelling of poroelastic media under finite strain is usually carried out via phenomenological models neglecting complex micro-macro scales interdependency. One reason is that the mathematical two-scale analysis is only…

Computational Engineering, Finance, and Science · Computer Science 2021-05-07 Hamidreza Dehghani , Andreas Zilian