Geometry of Data

no code implementations • 14 Mar 2022 • Parvaneh Joharinad, Jürgen Jost

Topological data analysis asks when balls in a metric space $(X, d)$ intersect.

Topological Data Analysis

Topology and curvature of metric spaces

no code implementations • 30 Mar 2019 • Parvaneh Joharinad, Jürgen Jost

We develop a new concept of non-positive curvature for metric spaces, based on intersection patterns of closed balls.

Metric Geometry