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In this contribution we propose a data-driven surrogate model for the prediction of magnetic stray fields in two-dimensional random micro-heterogeneous materials. Since data driven models require thousands of training data sets, FEM…

Numerical Analysis · Mathematics 2023-04-11 Rainer Niekamp , Johanna Niemann , Maximilian Reichel , Hongbin Zhang , Jörg Schröder

Simulation-based problems involving mixed-variable inputs frequently feature domains that are hierarchical, conditional, heterogeneous, or tree-structured. These characteristics pose challenges for data representation, modeling, and…

Machine Learning · Computer Science 2026-01-21 Paul Saves , Edward Hallé-Hannan , Jasper Bussemaker , Youssef Diouane , Nathalie Bartoli

Microstructural evolution, particularly grain growth, plays a critical role in shaping the physical, optical, and electronic properties of materials. Traditional phase-field modeling accurately simulates these phenomena but is…

Materials Science · Physics 2026-04-15 Iman Peivaste , Ahmed Makradi , Salim Belouettar

Estimation of patient-specific model parameters is important for personalized modeling, although sparse and noisy clinical data can introduce significant uncertainty in the estimated parameter values. This importance source of uncertainty,…

Machine Learning · Statistics 2020-06-04 Jwala Dhamala , John L. Sapp , B. Milan Horácek , Linwei Wang

Optimizing commercial aircraft cruise trajectories using the Pontryagin Maximum Principle (PMP) is particularly challenging due to the nonlinear dynamics of aircraft speed, complex costate dynamics, and the inclusion of two continuous…

Optimization and Control · Mathematics 2025-09-03 Amin Jafarimoghaddam , Manuel Soler , María Cerezo-Magaña

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

Tomographic imaging reveals internal structures of 3D objects and is crucial for medical diagnoses. Visualizing the morphology and appearance of non-planar sparse anatomical structures that extend over multiple 2D slices in tomographic…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Leonhard Rist , Pluvio Stephan , Noah Maul , Linda Vorberg , Hendrik Ditt , Michael Sühling , Andreas Maier , Bernhard Egger , Oliver Taubmann

Neural fields, also known as implicit neural representations (INRs), offer a powerful framework for modeling continuous geometry, but their effectiveness in high-dimensional scientific settings is limited by slow convergence and scaling…

Machine Learning · Computer Science 2026-04-23 Sophia Zorek , Kushal Vyas , Yuhao Liu , David Lenz , Tom Peterka , Guha Balakrishnan

Neural operators have emerged as cost-effective surrogates for expensive fluid-flow simulators, particularly in computationally intensive tasks such as permeability inversion from time-lapse seismic data, and uncertainty quantification. In…

Computational Physics · Physics 2026-01-16 Jeongjin Park , Grant Bruer , Huseyin Tuna Erdinc , Abhinav Prakash Gahlot , Felix J. Herrmann

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…

Signal integrity (SI) analysis in printed circuit board (PCB) interconnects faces increasing complexity due to diverse integrated circuit (IC) buffer technologies, varying operating conditions, and manufacturing tolerances. Existing machine…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Julian Withöft , Werner John , Emre Ecik , Ralf Brüning , Jürgen Götze

Data-driven surrogate models are increasingly adopted to accelerate vehicle design. However, open-source multi-fidelity datasets and empirical guidelines linking dataset size to model performance remain limited. This study investigates the…

Machine Learning · Computer Science 2026-01-21 Yiren Shen , Juan J. Alonso

Computational Fluid Dynamics (CFD) is central to race-car aerodynamic development, yet its cost -- tens of thousands of core-hours per high-fidelity evaluation -- severely limits the design space exploration feasible within realistic…

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

Efficiently predicting the flowfield and load in aerodynamic shape optimisation remains a highly challenging and relevant task. Deep learning methods have been of particular interest for such problems, due to their success for solving…

Fluid Dynamics · Physics 2021-06-16 Li-Wei Chen , Berkay Alp Cakal , Xiangyu Hu , Nils Thuerey

Many real-world applications demand accurate and fast predictions, as well as reliable uncertainty estimates. However, quantifying uncertainty on high-dimensional predictions is still a severely under-investigated problem, especially when…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Saurabh Deshpande , Hussein Rappel , Mark Hobbs , Stéphane P. A. Bordas , Jakub Lengiewicz

Image-based computational fluid dynamics (CFD) modeling enables derivation of hemodynamic information, which has become a paradigm in cardiovascular research and healthcare. Nonetheless, the predictive accuracy largely depends on precisely…

Fluid Dynamics · Physics 2021-07-20 Han Gao , Xueyu Zhu , Jian-Xun Wang

Climate policy studies require models that capture the combined effects of multiple greenhouse gases on global temperature, but these models are computationally expensive and difficult to embed in reinforcement learning. We present a…

Machine Learning · Computer Science 2025-10-10 Oskar Bohn Lassen , Serio Angelo Maria Agriesti , Filipe Rodrigues , Francisco Camara Pereira

There is a growing interest in developing data-driven reduced-order models for atmospheric and oceanic flows that are trained on data obtained either from high-resolution simulations or satellite observations. The data-driven models are…

Fluid Dynamics · Physics 2022-12-07 Suraj Pawar , Omer San

We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

Machine Learning · Computer Science 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech