254 citations · 882 across the 66 of their papers we have counts for
3 papers · 1 filter
Tight Lower Bounds for Homology Inference
Sivaraman Balakrishnan, Alessandro Rinaldo, Aarti Singh +1
The homology groups of a manifold are important topological invariants that provide an algebraic summary of the manifold. These groups contain rich topological information, for ins…
Cluster Trees on Manifolds
Sivaraman Balakrishnan, Srivatsan Narayanan, Alessandro Rinaldo +2
In this paper we investigate the problem of estimating the cluster tree for a density supported on or near a smooth -dimensional manifold isometrically embedded in $\mat…
Confidence sets for persistence diagrams
Brittany Terese Fasy, Fabrizio Lecci, Alessandro Rinaldo +3
Persistent homology is a method for probing topological properties of point clouds and functions. The method involves tracking the birth and death of topological features (2000) as…