Robust Topological Inference: Distance To a Measure and Kernel Distance

22 Dec 2014 Frédéric Chazal Brittany T. Fasy Fabrizio Lecci Bertrand Michel Alessandro Rinaldo Larry Wasserman

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 distance function (the distance of any point x to S). Given a sample from P we can infer the persistent homology using an empirical version of the distance function... (read more)

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Categories


  • STATISTICS THEORY
  • COMPUTATIONAL GEOMETRY
  • ALGEBRAIC TOPOLOGY
  • STATISTICS THEORY