107 citations · 416 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
On the Bootstrap for Persistence Diagrams and Landscapes
Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci +3
Persistent homology probes topological properties from point clouds and functions. By looking at multiple scales simultaneously, one can record the births and deaths of topological…
Efficient and Robust Persistent Homology for Measures
Mickael Buchet, Frederic Chazal, Steve Y. Oudot +1
We extend the notion of the distance to a measure from Euclidean space to probability measures on general metric spaces as a way to do topological data analysis in a way that is ro…
Optimal rates of convergence for persistence diagrams in Topological Data Analysis
Frédéric Chazal, Marc Glisse, Catherine Labruère +1
Computational topology has recently known an important development toward data analysis, giving birth to the field of topological data analysis. Topological persistence, or persist…
Gromov-Hausdorff Approximation of Metric Spaces with Linear Structure
Frédéric Chazal, Jian Sun
In many real-world applications data come as discrete metric spaces sampled around 1-dimensional filamentary structures that can be seen as metric graphs. In this paper we address…