Generalized curvatures and the geometry of data

Abstract: Curvature is the most important concept of Riemannian geometry, and it has been extended to metric spaces. Here, I shall develop a notion of curvature that also applies to discrete spaces (as occurring as data samples), links curvature to the concept of hyperconvexity and offers a geometric view on topological data analysis.

machine learningalgebraic topologydifferential geometrygeometric topologymetric geometry

Audience: researchers in the topic

Barcelona Mathematics and Machine Learning Colloquium Series

Series comments: Please, register for the whole series via the website bm2l.github.io/sign_up/ and you will receive the links to connect.