From Data to the p-Adic or Ultrametric Model

Details From Data to the p-Adic or Ultrametric Model From Data to the p-Adic or Ultrametric Model

2008-09-02

arxiv.org/abs/0809.0492v1

p-Adic Numbers, Ultrametric Analysis and Applications, 1, 58-68, 2009

Statistics

Machine Learning

15 pages, 6 figures. To appear in: Proceedings of Third International Conference on p-Adic Mathematical Physics: From Planck S

Scientific paper

10.1134/S2070046609010063

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.

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