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News/Real vs. Complex Spectral Bases for Neural Operators: The Role of Green's Function Alignment
arxiv
PublishedJune 29, 2026 at 4:00 AM
—neutral

Real vs. Complex Spectral Bases for Neural Operators: The Role of Green's Function Alignment

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arXiv:2606.24851v2 Announce Type: replace Abstract: Fourier Neural Operators (FNO) learn solution operators of partial differential equations by parameterizing global convolutions in the complex Fourier domain. For real-valued PDE solutions, the complex FFT carries representational redundancy throug

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