Operator Learning

Deep Operator Networks

Please read the DeepONet paper:

Lu, L., Jin, P., Pang, G. et al. Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators. Nat Mach Intell 3, 218–229 (2021). https://doi.org/10.1038/s42256-021-00302-5

Fourier Neural Operators

Please read the FNO paper:

Li, Z., Kovachki, N., Azizzadenesheli, K., Liu, B., Bhattacharya, K., Stuart, A., & Anandkumar, A. (2020). Fourier neural operator for parametric partial differential equations. arXiv preprint arXiv:2010.08895. https://openreview.net/pdf?id=c8P9NQVtmnO