Stochastic convergence of persistence landscapes and silhouettes

<p>Persistent homology is a widely used tool in Topological Data Analysis that encodes multi-scale topological information as a multiset of points in the plane called a persistence diagram. It is difficult to apply statistical theory directly to a random sample of diagrams. Instead, we summari...

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Bibliographic Details
Main Authors: Frédéric Chazal, Brittany Terese Fasy, Fabrizio Lecci, Alessandro Rinaldo, Larry Wasserman
Format: Article
Language:English
Published: Carleton University 2015-03-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/203