Thematic Einstein Semester on
Geometric and Topological Structure of Materials
Summer Semester 2021
Speaker
Ippei Obayashi (Okayama U)
Title
Stable volumes for persistent homology
Abstract
A persistence diagram is used to characterize the shape of data. Each point on the diagram corresponds to a homological structure in the data such as a ring or a cavity. A homological optimization technique is used to identify such a structure. However, such techniques often suffer from instability to noise. In this talk, I propose a novel method "stable volumes" to overcome the problem.
Contact
tes-summer2021@math.tu-berlin.de