cs.CE · 2026-06-29 · No. 38

Computational Engineering, Finance, and Science, 2026-06-29.

1 new papers in cs.CE. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs

    Alex Colagrande, Paul Caillon, Eva Feillet, Alexandre Allauzen

    cs.CE · cs.AI · cs.CV

    Neural operators provide deep neural networks for learning mappings between function spaces. Among them, the Fourier Neural Operator (FNO) is particularly effective: its spectral convolution relies on low-dimensional Fourier-domain representations and can handle inputs at different resolutions. This design aligns well with settings where the Fourier basis diagonalizes the underlying operator, such as linear, constant-coefficient PDEs on...

    arxiv.org/abs/2606.28122 · PDF

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