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most citedEP-PINNs: Cardiac Electrophysiology Characterisation using Physics-Informed Neural Networks

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math.NA2025

Neural Network Localized Orthogonal Decomposition for Numerical Homogenization of Diffusion Operators with Random Coefficients

Fabian Kröpfl, Daniel Peterseim, Elisabeth Ullmann

This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical h…