Math @ Duke

Publications [#243580] of John Harer
Papers Published
 CohenSteiner, D; Edelsbrunner, H; Harer, J, Stability of persistence diagrams,
Proceedings of the Annual Symposium on Computational Geometry
(2005),
pp. 263271 [doi]
(last updated on 2018/02/19)
Abstract: The persistence diagram of a realvalued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the persistence diagram is stable: small changes in the function imply only small changes in the diagram. We apply this result to estimating the homology of sets in a metric space and to comparing and classifying geometric shapes. Copyright 2005 ACM.


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