Research-The Interleaving Distance on Persistence Modules

Research

Graduate Student Colloquium

The Interleaving Distance on Persistence Modules

Speaker: Siheng Yi (SUSTech)
Time: Apr 3, 2023, 14:00-15:00
Location: M5024, College of Science Bldg.

Abstract

With the development of topological data analysis, many scholars began to study the more theoretical part of TDA, persistent modules. In the theory of persistent modules, the most important parts are their structure and stability. This seminar is mainly about the stability of persistence modules at interleaving distance, in which we will focus on discussing the homotopy interleaving distance and briefly explain the certain universality of the pseudometric.