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math.NA2023★ 1 cited
Pseudo-differential integral autoencoder network for inverse PDE operators
Ke Chen, Jasen Lai, Chunmei Wang
Partial differential equations (PDEs) play a foundational role in modeling physical phenomena. This study addresses the challenging task of determining variable coefficients within…
math.NA2023
Let data talk: data-regularized operator learning theory for inverse problems
Ke Chen, Chunmei Wang, Haizhao Yang
Regularization plays a pivotal role in integrating prior information into inverse problems. While many deep learning methods have been proposed to solve inverse problems, determini…