T3: Foundations of Topological Data Analysis
Format
Compact course, 1 week
Description
This course will serve as an introduction to the theoretical foundations of topological data analysis, with a particular focus on persistent homology of filtrations of datasets, persistence diagrams, and their metric stability.
Literature
- H. Edelsbrunner, and J. L. Harer. Computational topology: an introduction. American Mathematical Society (2022)
- G. Carlsson. Topological pattern recognition for point cloud data, Acta Numerica, 23, p.289 (2014)
- T. Needham. Introduction to Applied algebraic topology, (2018). Lecture notes https://sites.google.com/site/tneedhammath/teaching
