Author

Tianchi Yu

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Jul 2026

Spectral-Informed Neural Networks Outperform Spectral Methods in High-dimensional PDEs

Modified SINNs are introduced, which integrate coefficient decay scaling and basis embeddings motivated by harmonic analysis to enhance accuracy in high-dimensional problems and enable accurate approximation of unknown spectral coefficients.

Tianchi Yu, I. Oseledets · arXiv.org · 2 citations