2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.MG2022
Geometry of Data
Parvaneh Joharinad, Jürgen Jost
Topological data analysis asks when balls in a metric space intersect. Geometric data analysis asks how much balls have to be enlarged to intersect. We connect this princip…
math.GT2020★ 2 cited
Topological representation of the geometry of metric spaces
Parvaneh Joharinad, Jürgen Jost
Inspired by the concept of hyperconvexity and its relation to curvature, we translate geometric properties of a metric space encoded by the curvature inequalities into the persiste…
math.MG2019
Topology and curvature of metric spaces
Parvaneh Joharinad, Jürgen Jost
We develop a new concept of non-positive curvature for metric spaces, based on intersection patterns of closed balls. In contrast to the synthetic approaches of Alexandrov and Bues…