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math.NA2024
Resolution invariant deep operator network for PDEs with complex geometries
Jianguo Huang, Yue Qiu
Neural operators (NO) are discretization invariant deep learning methods with functional output and can approximate any continuous operator. NO have demonstrated the superiority of…
math.NA2023★ 25 cited
Koopman operator learning using invertible neural networks
Yuhuang Meng, Jianguo Huang, Yue Qiu
In Koopman operator theory, a finite-dimensional nonlinear system is transformed into an infinite but linear system using a set of observable functions. However, manually selecting…