Topological Descriptors for Geometric Data
Course material:
Introduction: slides
Persistence theory:
Topological descriptors:
Kernels and statistics:
Practical session:
link
Books:
- Self-contained introduction:
H. Edelsbrunner, J. Harer. Computational Topology: An Introduction. AMS Press, 2009.
- Advanced (and modern) exposition:
Steve Oudot. Persistence Theory: From Quiver Representations to Data Analysis. AMS Mathematical Surveys and Monographs, volume 209, 2015.