/ Andrew Blumberg: Probabilistic stability theorems for topological data analysis

Andrew Blumberg: Probabilistic stability theorems for topological data analysis

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Abstract: The foundations of topological data analysis rest on stability theorems, which roughly speaking say that small perturbations of point clouds (finite metric spaces) lead to small perturbations of associated persistent topological invariants.  In this talk, I will describe various extensions of these results to metric measure spaces, describing joint work with Mike Mandell and Mike Lesnick.