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When Attention Beats Fourier: Multi-Scale Transformers for PDE Solving on Irregular Domains

Brandon Yee, Pairie Koh, Jack Rodriguez, Mihir Tekal
Jun 5, 2026 at 04:00
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arXiv:2605.08318v2 Announce Type: replace-cross Abstract: We study the problem of \emph{architecture selection} for deep learning models trained to solve partial differential equations (PDEs), asking when transformer-based architectures with learned attention outperform Fourier-domain neural operators. We introduce the \textbf{Multi-Scale...

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