Markov chain scaffolding of real world data

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Abstract

Discrete time scale dependent random walks on a graph model of a relational database can be generated by a variety of equivalence relations imposed between walks (i.e. composite functions, inheritance, property relations, ancestor-descendant relations, data queries, address allocation and assignment polices). The Green function of diffusion process induce by the random walks allows to define scale dependent geometry. Geometric relations on databases can guide the data interpretation. In particular, first passage times in a urban spatial network help to evaluate the tax assessment value of land.

Original languageEnglish
Pages (from-to)289-299
Number of pages11
JournalDiscontinuity, Nonlinearity, and Complexity
Volume2
Issue number3
DOIs
StatePublished - 2013

Keywords

  • Data classification
  • Diffusion geometry
  • Scale dependent random walks
  • Structural isolation

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