Math @ Duke

Publications [#243606] of John Harer
Papers Published
 CohenSteiner, D; Edelsbrunner, H; Harer, J, Stability of persistence diagrams,
Discrete & Computational Geometry, vol. 37 no. 1
(2007),
pp. 103120, Springer Nature, ISSN 01795376 [doi]
(last updated on 2019/04/19)
Author's Comments: D. CohenSteiner, H. Edelsbrunner and J. Harer. .
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. © 2006 Springer.


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