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cs.CV2023
Connections between Operator-splitting Methods and Deep Neural Networks with Applications in Image Segmentation
Hao Liu, Xue-Cheng Tai, Raymond Chan
Deep neural network is a powerful tool for many tasks. Understanding why it is so successful and providing a mathematical explanation is an important problem and has been one popul…
cs.CV2023
PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks
Xue-Cheng Tai, Hao Liu, Raymond Chan
For problems in image processing and many other fields, a large class of effective neural networks has encoder-decoder-based architectures. Although these networks have made impres…