From data to the p-adic or ultrametric model

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We model anomaly and change in data by embedding the data in an ultrametric space. Taking our initial data as cross-tabulation counts (or other input data formats), Correspondence Analysis allows us to endow the information space with a Euclidean metric. We then model anomaly or change by an induced ultrametric. The induced ultrametric that we are particularly interested in takes a sequential — e.g. temporal — ordering of the data into account. We apply this work to the flow of narrative expressed in the film script of the Casablanca movie; and to the evolution between 1988 and 2004 of the Colombian social conflict and violence.

LanguageEnglish
Pages58-68
Number of pages11
JournalP-Adic Numbers, Ultrametric Analysis, and Applications
Volume1
Issue number1
DOIs
Publication statusPublished - 1 Mar 2009
Externally publishedYes

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P-adic
Anomaly
Ultrametric Space
Correspondence Analysis
Model
Euclidean
Count
Metric

Cite this

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From data to the p-adic or ultrametric model. / Murtagh, F.

In: P-Adic Numbers, Ultrametric Analysis, and Applications, Vol. 1, No. 1, 01.03.2009, p. 58-68.

Research output: Contribution to journalArticle

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