Random generation of hypotheses in the JSM method using simple Markov chains

  • Authors:
  • D. W. Vinogradov

  • Affiliations:
  • All-Russia Institute of Scientific and Technical Information, Russian Academy of Sciences, Moscow, Russia 125190

  • Venue:
  • Automatic Documentation and Mathematical Linguistics
  • Year:
  • 2012

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Abstract

A probability approach to hypothesis generation in plaussible reasoning of the JSM type using special Markov chains is described. This approach is similar the Monte Carlo methods, which are actively used to calculate combinatory configurations and the volumes of concave bodies. Simplest Markov chains are discussed, including nonmonotonous, monotonous, and "coupling in the future." Their properties are proven and coupling is proven with a probability 1 *.