Department of Mathematics, The Pennsylvania State University, University Park, State College, PA, USA; Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong SAR, China; Department of Mathematics and Department of Computer Science, University of Maryland College Park, College Park, MD, USA; Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong SAR, China; Algorithms of Machine Learning and Autonomous Driving Research Lab, HKUST Shenzhen-Hong Kong Collaborative Innovation Research Institute, Futian, Shenzhen, China
Yahong Yang, Haizhao Yang, Yang Xiang
VC-dimension;pseudo-dimension;Sobolev space;generalization error;nearly optimal approximation
Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives