Introduction to Topological Data Analysis

Barcelona - June 6-8, 2016

Frédéric Chazal and Bertrand Michel

Slides

• Introduction.
• Covers and nerves: union of balls, geometric inference and Mapper.
• Homology and homology inference.
• Persistent homology in TDA.
• Geometric inference in presence of noise and outliers: distance-to-measure functions.