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Notes on an Elementary Proof for the Stability of Persistence Diagrams

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arxiv 2103.10723 v1 pith:HJI4MEPW submitted 2021-03-19 math.AT

classification math.AT
keywords diagramsnotespersistenceproofstabilityelementaryself-containedshort
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These notes are a self-contained short proof of the stability of persistence diagrams.

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Cited by 1 Pith paper

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  1. Enhancing Graph Representation Learning with Localized Topological Features

    cs.LG 2025-01 conditional novelty 5.0 of 10

    Localized persistent homology features can make graph neural networks more expressive and slightly more accurate, but the state-of-the-art claim is not uniformly supported.

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