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.

Guest Speaker:

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.

Host: