18–21 Apr 2024
WFAIS UJ
Europe/Zurich timezone

Persistent Homology - gently introduction

21 Apr 2024, 11:55
25m
WFAIS UJ

WFAIS UJ

Faculty of Physics, Astronomy and Applied Computer Science, prof. St. Łojasiewicza 11, Kraków
Talk

Speaker

Jakub Mazur

Description

The talk will introduce the concept of homology groups in the context of data analysis. In particular, I’ll focus on presenting intuitive notions of cycles, boundaries and homology groups in simplicial complexes. Then I’ll introduce the theory of persistent homology, in particular filtration of simplicial complexes and calculating persistent birth-death diagram, followed by some examples on a simple data set.

Field Mathematics
Length Long 20 min

Author

Jakub Mazur

Presentation materials

There are no materials yet.