Statistics seminar

​​Christophe Biscio, Aalborg University: Asymptotic topological data analysis for point processes
​​
Abstract: Topological Data Analysis has in the past year attracted more attention in various fields such as in material sciences to study the properties of porous material or in statistics to study the asymptotic properties of random objects. However, topological data analysis still appears hard to grasp for many statisticians. This talk intends to be an introduction to topological data analysis and therefore does not require any background in the field. We will present an overview of the different approaches in topological data analysis and will focus on the persistent homology approach. We will present the framework of this approach and its main mathematical objects. Finally, we come back to the land of Probability and will present a central limit theorem for the so-called Betti numbers obtained from stationary point processes, non-necessarily Poisson.
​​Organisers: Moritz Schauer and Ottmar Cronie. Please see https://researchseminars.org/seminar/gbgstats for abstract and information about the seminar series. To get in touch with the seminar organizers, please contact us by e-mail (ottmar@chalmers.se, smoritz@chalmers.se).​
Category Seminar
Location: MVL:14, Chalmers tvärgata 3
Starts: 29 September, 2022, 15:15
Ends: 29 September, 2022, 16:00

Page manager Published: Thu 22 Sep 2022.