BIMSA > Seminar on Control Theory and Nonlinear Filtering Deep Neural Networks and the Curse of Dimensionality
Deep Neural Networks and the Curse of Dimensionality
Organizer
Shing Toung Yau
Speaker
Zeju Sun
Time
Monday, July 10, 2023 2:30 PM - 3:00 PM
Venue
数学系理科楼A-203
Abstract
In this talk, we will discuss the approximation capability of a deep neural network in high dimensions. Especially, we would like to deal with the question: in what kind of circumstances can a neural network overcomes the curse of dimensionality. A partial answer to this question is that the neural network is necessary to be deep enough, and there exists a counter-example for shallow neural networks. This talk is based on the recent work of P. Grohs et al.: arXiv:2103.04488 and A. Riekert: arXiv:2304.05790.