Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916389814534144 |
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| author | Koyama, Musashi Ayrton Memoli, Facundo Robins, Vanessa Turner, Katharine |
| author_facet | Koyama, Musashi Ayrton Memoli, Facundo Robins, Vanessa Turner, Katharine |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16333 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration Koyama, Musashi Ayrton Memoli, Facundo Robins, Vanessa Turner, Katharine Algebraic Topology 55-08 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. |
| title | Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration |
| topic | Algebraic Topology 55-08 |
| url | https://arxiv.org/abs/2307.16333 |