Ultrametric and Generalized Ultrametric in Computational Logic and in Data Analysis

Details Ultrametric and Generalized Ultrametric in Computational Logic and in Data Analysis Ultrametric and Generalized Ultrametric in Computational Logic and in Data Analysis

2010-08-20

arxiv.org/abs/1008.3585v1

Computer Science

Logic in Computer Science

19 pp., 5 figures, 3 tables

Scientific paper

Following a review of metric, ultrametric and generalized ultrametric, we review their application in data analysis. We show how they allow us to explore both geometry and topology of information, starting with measured data. Some themes are then developed based on the use of metric, ultrametric and generalized ultrametric in logic. In particular we study approximation chains in an ultrametric or generalized ultrametric context. Our aim in this work is to extend the scope of data analysis by facilitating reasoning based on the data analysis; and to show how quantitative and qualitative data analysis can be incorporated into logic programming.

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