Event Detail

Event Type: 
Geometry-Topology Seminar
Date/Time: 
Monday, March 1, 2021 - 12:00 to 12:50
Location: 
Zoom. Please contact Christine Escher for a link.

Speaker Info

Institution: 
University of Florida
Abstract: 

Topological data analysis starts with encoding data as a diagram of topological spaces. To this diagram we apply standard topological, algebraic, and combinatorial tools to produce a summary of our data. Next, we would like to be able perform a quantitative analysis. I will show how a distance, called Wasserstein distance, arise in a natural way, and how an extension of these ideas produces a summary for which we have not only distances but also angles (in fact, a Hilbert space) allowing us to apply statistics and machine learning.