MathCCSセミナー 2025/10/21

日時 / Date

2025年10月21日(火) 15:00～16:00 / October 21st (Tue) 2025 15:00–16:00

場所 / Venue

レジリエント社会構築イノベーションセンター 3階大会議室 /
Main Conference Room, 3rd Floor, Innovation Center for Creation of a Resilient Society

言語 / Language

日本語 / Japanese (slides in English)

Speaker

多田 駿介（東北大学 MathCCS）/ Shunsuke Tada (Tohoku University MathCCS)

Title

Proposal of Bipath Persistent Homology: Visualization, Algorithm, and Stability

Abstract

Persistent homology is one of the main tools in topological data analysis. It captures the persistence of topological features across a filtration by a collection of intervals, or equivalently, a persistence diagram. This tool allows us to study hidden structures in data and has been applied to various fields, such as materials science, evolutional biology and others.
In this talk, I will propose bipath persistent homology as an extension of persistent homology. It can be used to study the persistence of topological features across a pair of filtrations connected at their ends. Such pairs may be obtained, for example, from multiparameter data or from cyclical data. In addition, I will introduce our recent work on bipath persistent homology, including bipath persistence diagrams and their computational algorithm and stability properties.