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Paper · arXiv

Local gradient neural operator

Field temporal prediction and source identification constitute canonical problems in dynamical systems. Conventional approaches to these problems depend on a thorough understanding of the governing partial differential equations (PDEs). Recently, deep learning, as represented by neural operators, has provided a data-driven paradigm for addressing such tasks. However, most existing global neural operators for PDEs require large training datasets and many learnable parameters, with limited interpretability and generalization. We propose the local gradient neural operator (LGNO) as a lightweight and interpretable alternative for field temporal evolution prediction and source identification i...

AuthorsBaiming Zhang, Jinsong Tang, Ying Xu et al.
Primary categorycs.LG
Published7 September 2026
Last updated at source7 September 2026
cs.LGmath-ph
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