From data to the p-adic or ultrametric model

F. Murtagh

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.

Original languageEnglish
Pages (from-to)58-68
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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