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Computation of degree-1 persistent homology on larger poi...
[Submitted on 30 Jul 2023 (v1), last revised 18 Jun 2026 (this v · 2026-06-19 · via math updates on arXiv.org

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Abstract: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.

Submission history

From: Musashi Ayrton Koyama [view email]
[v1] Sun, 30 Jul 2023 22:43:07 UTC (108 KB)
[v2] Thu, 12 Sep 2024 13:53:30 UTC (150 KB)
[v3] Thu, 18 Jun 2026 11:21:14 UTC (1,455 KB)