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Abdolmehdi Behroozi

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#machine learning Preprint Aug 2026

Joint Spatiotemporal Spectral Neural Operators for Learning PDEs on Irregular Domains

The Graph Spectral Neural Operator is introduced, a neural operator that combines spatial graph spectral decompositions with temporal Fourier transforms through a unified space--time spectral kernel that enables globally coherent operator learning on non-Cartesian discretizations without domain warping or autoregressiv...

Abdolmehdi Behroozi, Chao-Peng Shen · 0 citations
#machine learning Preprint Aug 2026

Sensitivity-Constrained Neural Operators for Data-Efficient Forward and Inverse Modeling of Partial Differential Equation Systems

Results support sampled sensitivity supervision as a practical way to improve neural PDE surrogates when forward accuracy, inverse stability, robustness, and computational cost must be considered together.

Abdolmehdi Behroozi, Chao-Peng Shen, Daniel Kifer et al. · 0 citations

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