Cai, Yuhang

1. A Statistical Theory of Contrastive Pre-training and Multimodal Generative AI
   2025/01/08 by Oko, Kazusato, Lin, Licong, Cai, Yuhang +1 · 5 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Statistics Theory (math.ST)
2. Large Stepsize Gradient Descent for Non-Homogeneous Two-Layer Networks: Margin Improvement and Fast Optimization
   2024/06/12 by Yuhang Cai, Cai, Yuhang, Jingfeng Wu +7 · 3 citations
   Engineering · #Advanced Photonic Communication Systems #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Photonic and Optical Devices #Semiconductor Lasers and Optical Devices
3. Distances between probability distributions of different dimensions
   2020/11/01 by Yuhang Cai, Cai, Yuhang, Lek‐Heng Lim +1 · 1 citation
   Mathematics · Physics and Astronomy · #28A33 #28A50 #46E27 #49Q22 #60E05 #94A17 #Advanced Statistical Methods and Models #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR) #Statistical Mechanics and Entropy #Statistics Theory (math.ST)
4. Implicit Bias of Gradient Descent for Non-Homogeneous Deep Networks
   2025/02/22 by Yuhang Cai, Kangjie Zhou, Cai, Yuhang +9 · 1 citation
   Computer Science · #FOS: Computer and information sciences #FOS: Mathematics #Face and Expression Recognition #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
5. Toward optimal-scaling DFT: stochastic Hartree theory in the thermodynamic and complete basis set limits at arbitrary temperature
   2025/04/22 by Yuhang Cai, Michael Lindsey, Cai, Yuhang +1 · 1 citation
   Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Theoretical and Computational Physics #Advanced Chemical Physics Studies