490 citations · 3.5k across the 123 of their papers we have counts for
4 papers · 2 filters
Stochastic Convergence of Persistence Landscapes and Silhouettes
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci +2
Persistent homology is a widely used tool in Topological Data Analysis that encodes multiscale topological information as a multi-set of points in the plane called a persistence di…
Estimating Undirected Graphs Under Weak Assumptions
Larry Wasserman, Mladen Kolar, Alessandro Rinaldo
We consider the problem of providing nonparametric confidence guarantees for undirected graphs under weak assumptions. In particular, we do not assume sparsity, incoherence or Norm…
Statistical Analysis of Metric Graph Reconstruction
Fabrizio Lecci, Alessandro Rinaldo, Larry Wasserman
A metric graph is a 1-dimensional stratified metric space consisting of vertices and edges or loops glued together. Metric graphs can be naturally used to represent and model data…
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…