تقرير
Reduced Vietoris-Rips Complexes: New methods to compute Vietoris-Rips Persistent Homology
| العنوان: | Reduced Vietoris-Rips Complexes: New methods to compute Vietoris-Rips Persistent Homology |
|---|---|
| المؤلفون: | Koyama, Musashi Ayrton, Robins, Vanessa, Turner, Katharine, Memoli, Facundo |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Topology |
| الوصف: | 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 one-dimensional Vietoris-Rips Persistent Homology of point clouds in low dimensional Euclidean Space for point clouds of the the order $10^5$. Comment: 21 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.16333 |
| رقم الأكسشن: | edsarx.2307.16333 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |