Probability and Statistics Seminar - TC Sun

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Date: November 26, 2019
Time: 1:00 p.m. - 2:00 p.m.
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Category: Seminar

Speaker: TC Sun, Professor, Wayne State University Department of Mathematics

Title: An Introduction to Neural Networks

Abstract: Neural Networks is an important tool in the study of deep learning and artificial intelligence, but it is really an approximation method of functions. There are many papers on the applications of neural networks to various problems in the real world, not much work can be found about mathematical theory behind neural works. In this talk I will

1)      First define a neural network (NN) and give an intuitive proof that NN can approximate any continuous function uniformly on a compact set. (essentially following the lecture given by G. Strang last semester.)

2)      Sketch an algorism to compute the parameters in a neural network.

3)      Raise a few mathematical problems regarding neural networks. (most mathematical problems all seem very difficult.)

The talk uses only elementary methods. It should be interesting to people in statistics, approximation theory and all graduate students.


Department of Mathematics



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