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News/Real vs. Complex Spectral Bases for Neural Operators: The Role of Green's Function Alignment
arxiv
PublishedJune 24, 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.orgfull article ↗
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Publisher summary· verbatim

arXiv:2606.24851v1 Announce Type: new 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 through co

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Discussion
Mentioned models
02
  • 01
    Fourier Neural Operator (FNO)
  • 02
    Hartley Neural Operator (HNO)
Source
↗
arxiv
Read original ↗All from arxiv →
Tags
04
#machine learning#neural operators#partial differential equations#spectral basis

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Mentioned models
02
  • 01
    Fourier Neural Operator (FNO)
  • 02
    Hartley Neural Operator (HNO)
Source
↗
arxiv
Read original ↗All from arxiv →
Tags
04
#machine learning#neural operators#partial differential equations#spectral basis

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