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CLASSIFICATION
2008

Degenerating Families of Dendrograms

13 years 11 months ago
Degenerating Families of Dendrograms
Dendrograms used in data analysis are ultrametric spaces, hence objects of nonarchimedean geometry. It is known that there exist p-adic representations 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 in fact p-adic parameter spaces 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.
Patrick Erik Bradley
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CLASSIFICATION
Authors Patrick Erik Bradley
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