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H.B. Keller Colloquium

Monday, November 1, 2021
4:00pm to 5:00pm
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Neural Networks and Numerical PDEs
Jinchao Xu, Verne M. Willaman Professor of Mathematics & Director, Center for Computational Mathematics and Applications, Penn State,

I will first give a brief introduction to neural network functions, their applications to image classifications, and their relationship with finite element and multigrid methods. I will then present some recent results on the approximation properties of neural network functions, error analysis for numerical PDEs (in view of generalization accuracy in machine learning) and optimization algorithms for the underlying non-convex problems.

For more information, please contact Diana Bohler by phone at 6263951768 or by email at dbohler@caltech.edu.