107 citations · 416 across the 27 of their papers we have counts for
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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…
Topological analysis of scalar fields with outliers
Mickaël Buchet, Frédéric Chazal, Tamal K. Dey +3
Given a real-valued function defined over a manifold embedded in , we are interested in recovering structural information about from the sole information…
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…
The observable structure of persistence modules
Frederic Chazal, William Crawley-Boevey, Vin de Silva
In persistent topology, q-tame modules appear as a natural and large class of persistence modules indexed over the real line for which a persistence diagram is definable. However,…