## Speaker:

Jinchao Xu

## Speaker Link:

## Institution:

Penn State University

## Time:

Thursday, December 2, 2021 - 4:00pm

## Host:

## Location:

Zoom ID: 930 9003 8527

Polynomials and piecewise polynomials are most commonly used function classes in analysis and applications. In this talk, I will use these function classes to motivate and to present some remarkable properties of the function classes given by (both shallow and deep) neural networks. In particular, I will present some recent results on the connections between finite element and neural network functions and comparative studies of their approximation properties and applications to numerical solution of partial differential equations of high order and/or in high dimensions.

Meeting ID: 930 9003 8527

Passcode: 215830

Join Zoom Meeting

https://uci.zoom.us/j/93090038527?pwd=cGJaT0g2U1JKUHEvT1FuS1RaSldsdz09