Computational Geometry Learning: Introduction
Teacher: Marc Glisse
Computational geometric learning & Topological Data Analysis (Persistent Homology) (M2 MPRI)
Homology theory
Teacher: Clément Maria
Discrete Morse theory
Teacher: Clément Maria
Persistent Homology
Cech complex
Compatible basis, Stability of persistent homology, and Homology inference
[K_0 = ∅ \overset{σ_1}{\hookrightarrow} K_1 \overset{σ_2}{\hookrightarrow} K_2 \overset{σ_3}{\hookrightarrow} ⋯ \overset{σ_n}{\hookrightarrow} K_n = \lbrace ...