Construction of a Non-redundant Cover for Conditional Independencies

  • Authors:
  • S. K. Michael Wong;Tao Lin;Dan Wu

  • Affiliations:
  • -;-;-

  • Venue:
  • AI '02 Proceedings of the 15th Conference of the Canadian Society for Computational Studies of Intelligence on Advances in Artificial Intelligence
  • Year:
  • 2002

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Abstract

To design a probabilistic reasoning system, it might be necessary to construct the graphical structure of probabilistic network, from a given set of conditional independencies (CIs). It should be emphasized that certain redundant CIs must be removed before applying construction methods and algorithms. In this paper, firstly we discuss how to remove redundant CIs from a given set of CIs with the same context, which results in a reduced cover for the input CIs set, and then we suggest an algorithm to remove redundancy from arbitrary input CIs set. The resulting set of CIs after such a 'clean' procedure is unique. The conflicting CIs can be easily identified and removed, if necessary, so as to construct the desired graphical structure.