Convergence in general topology

Tuesday, October 8, 2013 - 11:30am - 12:20pm
Frédéric Chazal (INRIA Saclay - Île-de-France )
In TDA, persistent homology appears as a fundamental tool to infer relevant topological information from data. Persistence diagrams are usually computed from filtrations built on top of data sets sampled from some unknown (metric) space. They provide topological signatures revealing the structure of the underlying space. To ensure the relevance of such signatures, it is necessary to prove that they come with stability properties with respect to the way data are sampled.
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