Publications [#243606] of John Harer

Papers Published

1. Cohen-Steiner, D; Edelsbrunner, H; Harer, J, Stability of persistence diagrams, Discrete and Computational Geometry, vol. 37 no. 1 (January, 2007), pp. 103-120, Springer Nature, ISSN 0179-5376 [doi]
   (last updated on 2024/04/19)

   Author's Comments:
   D. Cohen-Steiner, H. Edelsbrunner and J. Harer. .

   Abstract:
   The persistence diagram of a real-valued 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.