Conditional independence structure and its closure: Inferential rules and algorithms

  • Authors:
  • Marco Baioletti;Giuseppe Busanello;Barbara Vantaggi

  • Affiliations:
  • Dip. Matematica e Informatica, Università di Perugia, Italy;Dip. Metodi e Modelli Matematici, Università “La Sapienza” Roma, Italy;Dip. Metodi e Modelli Matematici, Università “La Sapienza” Roma, Italy

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2009

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Abstract

In this paper, we deal with conditional independence models closed with respect to graphoid properties. Such models come from different uncertainty measures, in particular in a probabilistic setting. We study some inferential rules and describe methods and algorithms to compute efficiently the closure of a set of conditional independence statements.