Applied Mathematics Colloquia by Hongkai Zhao-Mathematical and Numerical Understanding of Neural Networks: From Representation to Learning Dynamics
Speaker: , Ruth F. DeVarney Distinguished Professor of Mathematics, Duke University
Title: Mathematical and Numerical Understanding of Neural Networks: From Representation to Learning Dynamics
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.
Applied Mathematics Colloquium