From data to the p-adic or ultrametric model

@article{Murtagh2009FromDT,
  title={From data to the p-adic or ultrametric model},
  author={Fionn Murtagh},
  journal={P-Adic Numbers, Ultrametric Analysis, and Applications},
  year={2009},
  volume={1},
  pages={58-68}
}
  • Fionn Murtagh
  • Published 2009
  • Mathematics
  • P-Adic Numbers, Ultrametric Analysis, and Applications
  • 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… CONTINUE READING

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