Topological Data Analysis
Steve Oudot - Nicolas Berkouk
Course material:
Session 1: Introduction / homology
Session 2: One-dimensional persistence theory
Session 3: Topological descriptors
Session 4: Multidimensional persistence theory
Session 5: Persistence and Sheaf theory
Books:
- Self-contained introduction:
H. Edelsbrunner, J. Harer. Computational Topology: An Introduction. AMS Press, 2009.
- More advanced (and modern) exposition:
Steve Oudot. Persistence Theory: From Quiver Representations to Data Analysis. AMS Mathematical Surveys and Monographs, volume 209, 2015. pdf available here: link