Degenerating families of dendrograms
| dc.creator | Bradley, Patrick Erik | |
| dc.date | 2007-07-24 | |
| dc.date.accessioned | 2026-07-07T09:46:58Z | |
| dc.date.available | 2026-07-07T09:46:58Z | |
| dc.description | Dendrograms used in data analysis are ultrametric spaces, hence objects of nonarchimedean geometry. It is known that there exist $p$-adic representation of dendrograms. Completed by a point at infinity, they can be viewed as subtrees of the Bruhat-Tits tree associated to the $p$-adic projective line. The implications are that certain moduli spaces known in algebraic geometry are $p$-adic parameter spaces of (families of) dendrograms, and stochastic classification can also be handled within this framework. At the end, we calculate the topology of the hidden part of a dendrogram. | |
| dc.description | 13 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0707.3536 | |
| dc.identifier | http://arxiv.org/abs/0707.3536 | |
| dc.identifier | J. Classif. 25, 27-42 (2008) | |
| dc.identifier | doi:10.1007/s00357-008-9009-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163710 | |
| dc.subject | Machine Learning | |
| dc.title | Degenerating families of dendrograms | |
| dc.type | text |