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arxiv: 2103.10723 · v1 · pith:HJI4MEPWnew · submitted 2021-03-19 · 🧮 math.AT

Notes on an Elementary Proof for the Stability of Persistence Diagrams

Primoz Skraba , Katharine Turner This is my paper
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 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Contraction and Hourglass Persistence for Learning on Graphs, Simplices, and Cells

    cs.LG 2026-04 unverdicted novelty 7.0

    Hourglass Persistence interleaves graph contractions and inclusions to produce more expressive and stable topological descriptors than standard persistent homology for learning on graphs, simplices, and cells.

  2. Contraction and Hourglass Persistence for Learning on Graphs, Simplices, and Cells

    cs.LG 2026-04 unverdicted novelty 7.0

    Hourglass Persistence interleaves sequences of graph inclusions and contractions to produce more expressive topological features than standard persistent homology for learning on graphs and higher-order complexes.