107 citations · 108 across the 3 of their papers we have counts for
3 papers
math.ST2014★ 107 cited
Robust Topological Inference: Distance To a Measure and Kernel Distance
Frédéric Chazal, Brittany T. Fasy, Fabrizio Lecci +3
Let P be a distribution with support S. The salient features of S can be quantified with persistent homology, which summarizes topological features of the sublevel sets of the dist…
math.AT2014
Subsampling Methods for Persistent Homology
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci +3
Persistent homology is a multiscale method for analyzing the shape of sets and functions from point cloud data arising from an unknown distribution supported on those sets. When th…
cs.CG2010★ 1 cited
Persistence Diagrams and the Heat Equation Homotopy
Brittany Terese Fasy
Persistence homology is a tool used to measure topological features that are present in data sets and functions. Persistence pairs births and deaths of these features as we iterate…