Stability of persistence diagrams
Publication
, Journal Article
Cohen-Steiner, D; Edelsbrunner, H; Harer, J
Published in: Proceedings of the Annual Symposium on Computational Geometry
December 1, 2005
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.
Duke Scholars
Published In
Proceedings of the Annual Symposium on Computational Geometry
DOI
Publication Date
December 1, 2005
Start / End Page
263 / 271
Citation
APA
Chicago
ICMJE
MLA
NLM
Cohen-Steiner, D., Edelsbrunner, H., & Harer, J. (2005). Stability of persistence diagrams. Proceedings of the Annual Symposium on Computational Geometry, 263–271. https://doi.org/10.1145/1064092.1064133
Cohen-Steiner, D., H. Edelsbrunner, and J. Harer. “Stability of persistence diagrams.” Proceedings of the Annual Symposium on Computational Geometry, December 1, 2005, 263–71. https://doi.org/10.1145/1064092.1064133.
Cohen-Steiner D, Edelsbrunner H, Harer J. Stability of persistence diagrams. Proceedings of the Annual Symposium on Computational Geometry. 2005 Dec 1;263–71.
Cohen-Steiner, D., et al. “Stability of persistence diagrams.” Proceedings of the Annual Symposium on Computational Geometry, Dec. 2005, pp. 263–71. Scopus, doi:10.1145/1064092.1064133.
Cohen-Steiner D, Edelsbrunner H, Harer J. Stability of persistence diagrams. Proceedings of the Annual Symposium on Computational Geometry. 2005 Dec 1;263–271.
Published In
Proceedings of the Annual Symposium on Computational Geometry
DOI
Publication Date
December 1, 2005
Start / End Page
263 / 271