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arXiv Machine Learning By Nathanael Bosch, Niklas Frederik Schmitz, Michael F. Herbst

Euclidean Fourier Neural Operators

Read the original on arXiv Machine Learning →

Euclidean Fourier Neural Operators (EFNOs) extend Fourier neural operators by making the spectral kernel a continuous function of physical wavevectors, thereby removing dependence on specific periodic domain shapes and sizes. This domain‑independent formulation allows EFNOs to learn operators that generalize across different grid resolutions and domain geometries. Experiments on a heat equation and a materials‑science task demonstrate that EFNOs can successfully transfer learned mappings to unseen grid sizes and crystal structures.

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