##### Department of Mathematics,

University of California San Diego

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### Math 278B - Mathematics of Information, Data, and Signals Seminar

## Jose Perea

#### Michigan State University

## Learning functions on the space of persistence diagrams

##### Abstract:

The persistence diagram is an increasingly useful shape descriptor from Topological Data Analysis, but its use alongside typical machine learning techniques requires mathematical finesse. We will describe in this talk a mathematical framework for featurization of said descriptors, and we show how it addresses the problem of approximating continuous functions on compact subsets of the space of persistence diagrams. We will also show how these techniques can be applied to problems in semi-supervised learning where these descriptors are relevant.

Host: Rayan Saab

### January 7, 2021

### 10:30 AM

### Zoom link: https://msu.zoom.us/j/96421373881 (passcode: first prime number greater than 100).

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