Publications [#243580] of John Harer

Papers Published

1. Cohen-Steiner, D; Edelsbrunner, H; Harer, J, Stability of persistence diagrams, Proceedings of the Annual Symposium on Computational Geometry (December, 2005), pp. 263-271, ACM Press [doi]
   (last updated on 2024/04/18)

   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. Copyright 2005 ACM.