Nonlinear model reduction for operator learning

Nonlinear model reduction for operator learning

cs.LG math.NA Neural Networks and Applications Model Reduction and Neural Networks Computer Science Mathematics

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References (10)

01Machine Learning for Partial Differential EquationsS. Brunton, J. Kutz2023 · arXiv.org · 27 citations In Library

02A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR dataLu Lu, Xuhui Meng, Shengze Cai et al.2021 · Computer Methods in Applied Mechanics and Engineering · 719 citations

03Neural Operator: Learning Maps Between Function SpacesNikola B. Kovachki, Zong-Yi Li, Burigede Liu et al.2021 · arXiv.org · 651 citations In Library

04Fourier Neural Operator for Parametric Partial Differential EquationsZong-Yi Li, Nikola B. Kovachki, K. Azizzadenesheli et al.2020 · International Conference on Learning Representations · 4.5k citations In Library

05Model Reduction and Neural Networks for Parametric PDEsK. Bhattacharya, Bamdad Hosseini, Nikola B. Kovachki et al.2020 · SMAI Journal of Computational Mathematics · 478 citations In Library

06Learning nonlinear operators via DeepONet based on the universal approximation theorem of operatorsLu Lu, Pengzhan Jin, G. Pang et al.2019 · Nature Machine Intelligence · 4.1k citations In Library

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