Web: http://arxiv.org/abs/2209.05150

Sept. 21, 2022, 1:11 a.m. | Taeyoung Kim, Myungjoo Kang

stat.ML updates on arXiv.org arxiv.org

A Fourier neural operator (FNO) is one of the physics-inspired machine
learning methods. In particular, it is a neural operator. In recent times,
several types of neural operators have been developed, e.g., deep operator
networks, GNO, and MWTO. Compared with other models, the FNO is computationally
efficient and can learn nonlinear operators between function spaces independent
of a certain finite basis. In this study, we investigated the bounding of the
Rademacher complexity of the FNO based on specific group norms. …

arxiv complexity

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