Applied Mathematics Colloquia by Hongkai Zhao-Mathematical and Numerical Understanding of Neural Networks: From Representation to Learning Dynamics

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  3. Applied Mathematics Colloquia by Hongkai Zhao-Mathematical and Numerical Understanding of Neural Networks: From Representation to Learning Dynamics

Speaker: Hongkai Zhao, 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

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