Event Detail

Event Type: 
Geometry-Topology Seminar
Date/Time: 
Monday, April 19, 2021 - 12:00 to 12:50
Location: 
Zoom. Please contact Christine Escher for a link.

Speaker Info

Institution: 
Michigan State University
Abstract: 

Reeb graphs and main other related graphical signatures have extensive use in applications, but only recently has there been intense interest in finding metrics for these objects. The idea is that graphical signatures such as Reeb graphs, merge trees, and contour trees encode data in both a space and a real valued function, and we want to build metrics that are sensitive to this information. In this talk, we will focus on a particular metric for comparing Reeb graphs known as the interleaving distance which is a categorical reformulation of the eponymous metric from persistence modules, and show how it can be used as input to statistical and machine learning problems.