Computational Geometry and Topology for Data Analysis

Jean-Daniel Boissonnat, Frédéric Cazals, Frédéric Chazal and Julien Tierny

Winter School - Sophia-Antipolis - January 2017

An Introduction to Topological Data Analysis Through Persistent Homology

Frédéric Chazal

Slides

• Introduction.
• Covers and nerves: union of balls, geometric inference and Mapper.
• Homology and homology inference.
• Persistent homology in TDA.