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Matches in SemOpenAlex for { <https://semopenalex.org/work/W2037613900> ?p ?o ?g. }

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• W2037613900 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." @default.
• W2037613900 created "2016-06-24" @default.
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• W2037613900 date "2006-12-12" @default.
• W2037613900 modified "2023-10-14" @default.
• W2037613900 title "Stability of Persistence Diagrams" @default.
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• W2037613900 doi "https://doi.org/10.1007/s00454-006-1276-5" @default.
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