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arXiv · 2307.16333

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

Musashi Ayrton Koyama·Facundo Mémoli·Vanessa Robins·Katharine Turner
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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.

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Musashi Ayrton Koyama, Facundo Mémoli, Vanessa Robins, Katharine Turner. 2023-07-30. Computation of degree-1 persistent homology on larger point-clouds using the Reduced Vietoris-Rips filtration. https://arxiv.org/abs/2307.16333

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