mlsanityData to 7 Oct 2026

Geometry of Data

arXiv 2203.07208 ↗First posted 14 Mar 2022math.MG cs.LG math.DGcited by 1

Not on the map. Why?

Abstract (arXiv)

Topological data analysis asks when balls in a metric space (X,d) intersect. Geometric data analysis asks how much balls have to be enlarged to intersect. We connect this principle to the traditional core geometric concept of curvature. This enables us, on one hand, to reconceptualize curvature and link it to the geometric notion of hyperconvexity. On the other hand, we can then also understand methods of topological data analysis from a geometric perspective.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 2 of its 45 references that are in the map. First posted on arXiv 14 Mar 2022.

Builds on

2 of 45 references.

References · 2

  1. 2015The Vietoris-Rips complexes of a circlecited by 4
  2. 2020Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radiuscited by 4

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Cited by year

Citing papers per year: 2023: 1.

1 paper.

  1. 2023Learning from data with structured missingnesscited by 24