MscaleFNO, a weighted sum of Fourier neural operators with scaled inputs, substantially outperforms standard FNO on learned 1-D mappings between oscillatory functions, including Helmholtz coefficient-to-solution maps.
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MscaleFNO: Multi-scale Fourier Neural Operator Learning for Oscillatory Function Spaces
MscaleFNO, a weighted sum of Fourier neural operators with scaled inputs, substantially outperforms standard FNO on learned 1-D mappings between oscillatory functions, including Helmholtz coefficient-to-solution maps.