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arxiv: 2307.16333 · v3 · pith:CXKC4JJSnew · submitted 2023-07-30 · 🧮 math.AT

Computation of degree-1 persistent homology on larger point-clouds using the Reduced Vietoris-Rips filtration

Musashi Ayrton Koyama , Facundo M\'emoli , Vanessa Robins , Katharine Turner This is my paper
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keywords homologypersistentcloudspointdegree-1largervietoris-ripsadoption
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Computing Persistent Homology for large point clouds remains a bottleneck for the wider adoption of persistent homology by the scientific community. We present an algorithm which can compute the degree-1 Vietoris-Rips Persistent Homology of point clouds in low dimensional Euclidean Space for larger point clouds.

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Cited by 1 Pith paper

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

  1. A Stable Measure of Similarity for Time Series using Persistent Homology

    math.AT 2025-01 unverdicted novelty 6.0

    Introduces and proves stability for a persistent homology-based bi-conditional periodicity score for pairwise time series similarity.