# Probability and Statistics Seminar - TC Sun

This event is in the past.

**Date:**November 26, 2019

**Time:**1:00 p.m. - 2:00 p.m.

**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.**