Join the Department of Applied Mathematics at 1:50 p.m. on November 4 for a colloquium titled “Mathematical and Numerical Understanding of Neural Networks: From Representation to Learning Dynamics,” featuring Hongkai Zhao, Ruth F. DeVarney Distinguished Professor of Mathematics at Duke University.

Abstract

In this talk I will present both mathematical and numerical analysis as well as experiments to study a few basic computational issues in using neural network to approximate functions: (1) the stability and accuracy, (2) the learning dynamics and computation cost, and (3) structured and balanced approximation. These issues are investigated for both approximation and optimization in asymptotic and non-asymptotic regimes.