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Xue-Cheng Tai

A Mathematical Explanation of UNet

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Oct 06, 2024
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BP-DeepONet: A new method for cuffless blood pressure estimation using the physcis-informed DeepONet

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Feb 29, 2024
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Double-well Net for Image Segmentation

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Dec 31, 2023
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A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition

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Aug 25, 2023
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PottsMGNet: A Mathematical Explanation of Encoder-Decoder Based Neural Networks

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Jul 18, 2023
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Connections between Operator-splitting Methods and Deep Neural Networks with Applications in Image Segmentation

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Jul 18, 2023
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Multiple Convex Objects Image Segmentation via Proximal Alternating Direction Method of Multipliers

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Mar 22, 2022
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Elastica Models for Color Image Regularization

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Mar 18, 2022
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An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications in Surface Smoothing and Imaging

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Aug 04, 2021
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Generalization Error Analysis of Neural networks with Gradient Based Regularization

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Jul 06, 2021
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