Extrinsic Analysis on BHV4
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917549645496320 |
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| author | Chen, Tingan Ordway, Garett Patrangenaru, Vic |
| author_facet | Chen, Tingan Ordway, Garett Patrangenaru, Vic |
| contents | One investigates the extrinsic statistical analysis on the space of Billera- Holmes-Vogtmann tree space with four leaves (T4 or BHV4) based on its recently proposed novel representation (see [1])- the Spiky Projective ExcavatedDodecahedron (SPED). Due to the symmetry of the SPED, the Veronese- Whitney (VW) embeddingwe consider here produces a natural extrinsicmetric for a statistical analysis on BHV4. one derives the exact solution for the VW extrinsic mean and applies this novel method on a yeast genome dataset to study the phylogenetic trees of four distinct yeast clades. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00465 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extrinsic Analysis on BHV4 Chen, Tingan Ordway, Garett Patrangenaru, Vic Other Statistics 2020: 62R30, 62H25, 62H35 One investigates the extrinsic statistical analysis on the space of Billera- Holmes-Vogtmann tree space with four leaves (T4 or BHV4) based on its recently proposed novel representation (see [1])- the Spiky Projective ExcavatedDodecahedron (SPED). Due to the symmetry of the SPED, the Veronese- Whitney (VW) embeddingwe consider here produces a natural extrinsicmetric for a statistical analysis on BHV4. one derives the exact solution for the VW extrinsic mean and applies this novel method on a yeast genome dataset to study the phylogenetic trees of four distinct yeast clades. |
| title | Extrinsic Analysis on BHV4 |
| topic | Other Statistics 2020: 62R30, 62H25, 62H35 |
| url | https://arxiv.org/abs/2606.00465 |