Representing Bayesian networks within probabilistic horn abduction

  • Authors:
  • David Poole

  • Affiliations:
  • Department of Computer Science, University of British Columbia, Vancouver, BC, Canada

  • Venue:
  • UAI'91 Proceedings of the Seventh conference on Uncertainty in Artificial Intelligence
  • Year:
  • 1991

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Abstract

This paper presents a simple framework for Horn clause abduction, with probabilities associated with hypotheses. It is shown how this representation can represent any probabilistic knowledge representable in a Bayesian belief network. The main contributions are in finding a relationship between logical and probabilistic notions of evidential reasoning. This can be used as a basis for a new way to implement Bayesian Networks that allows for approximations to the value of the posterior probabilities, and also points to a way that Bayesian networks can be extended beyond a propositional language.