2 citations · 5 across the 12 of their papers we have counts for
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Mathematical Modeling and Convergence Analysis of Deep Neural Networks with Dense Layer Connectivities in Deep Learning
Jinshu Huang, Haibin Su, Xue-Cheng Tai +1
In deep learning, dense layer connectivity has become a key design principle in deep neural networks (DNNs), enabling efficient information flow and strong performance across a ran…
A Mathematical Explanation of Transformers
Xue-Cheng Tai, Hao Liu, Lingfeng Li +1
The Transformer architecture has revolutionized the field of sequence modeling and underpins the recent breakthroughs in large language models (LLMs). However, a comprehensive math…
A Registration-Based Star-Shape Segmentation Model and Fast Algorithms
Daoping Zhang, Xue-Cheng Tai, Lok Ming Lui
Image segmentation plays a crucial role in extracting objects of interest and identifying their boundaries within an image. However, accurate segmentation becomes challenging when…
Coupled Reconstruction of 2D Blood Flow and Vessel Geometry from Noisy Images via Physics-Informed Neural Networks and Quasi-Conformal Mapping
Han Zhang, Xue-Cheng Tai, Jean-Michel Morel +1
Blood flow imaging provides important information for hemodynamic behavior within the vascular system and plays an essential role in medical diagnosis and treatment planning. Howev…