Thinking ultrametrically

Murtagh, Fionn

(2004)

Murtagh, Fionn (2004) Thinking ultrametrically
In: Classification, Clustering, and Data Mining Applications. Springer-Verlag.

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Abstract

The triangular inequality is a defining property of a metric space, while the stronger ultrametric inequality is a defining property of an ultrametric space. Ultrametric distance is defined from p-adic valuation. It is known that ultrametricity is a natural property of spaces that are sparse. Here we look at the quantification of ultrametricity. We also look at data compression based on a new ultrametric wavelet transform. We conclude with computational implications of prevalent and perhaps ubiquitous ultrametricity.

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This is a Submitted version
This version's date is: 2004
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https://repository.royalholloway.ac.uk/items/90d87408-fdf2-5b0c-23a8-5d7c21d00c5a/7/

Item TypeBook Item
TitleThinking ultrametrically
AuthorsMurtagh, Fionn
Uncontrolled Keywordsultrametricity, ultrametric
DepartmentsFaculty of Science\Computer Science

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Deposited by Research Information System (atira) on 22-Jul-2014 in Royal Holloway Research Online.Last modified on 22-Jul-2014


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