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Code for some works:

Cheng Tang, Roy Y. He, Hao Liu. WG-IDENT: Weak Group Identification of PDEs with Varying Coefficients. Journal of Computational Physics 545, 114454, 2026.
PyTorch code

Hao Liu, Jun Liu, Raymond H. Chan, Xue-Cheng Tai. Double-well net for image segmentation. Multiscale Modeling & Simulation 22 (4), 1449-1477, 2024.
PyTorch code

Xue-Cheng Tai, Hao Liu, Raymond Chan. PottsMGNet: A mathematical explanation of encoder-decoder based neural networks. SIAM Journal on Imaging Sciences 17 (1), 540-594, 2024.
PyTorch code

Hao Liu, Xue-Cheng Tai, Ron Kimmel, Roland Glowinski. Elastica models for color image regularization. SIAM Journal on Imaging Sciences 16 (1), 461-500, 2023.
MATLAB code

Hao Liu, Xue-Cheng Tai, Roland Glowinski. An operator-splitting method for the Gaussian curvature regularization model with applications to surface smoothing and imaging.. SIAM Journal on Scientific Computing 44 (2), A935-A963, 2022.
MATLAB code

Hao Liu, Xue-Cheng Tai, Ron Kimmel, Roland Glowinski. A Color Elastica Model for Vector-Valued Image Regularization. SIAM Journal on Imaging Sciences 14 (2), 717-748.
MATLAB code