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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