Equivalence Between Bayesian and Credal Nets on an Updating Problem

  • Alessandro Antonucci
  • Marco Zaffalon
Part of the Advances in Soft Computing book series (AINSC, volume 37)

Abstract

We establish an intimate connection between Bayesian and credal nets. Bayesian nets are precise graphical models, credal nets extend Bayesian nets to imprecise probability. We focus on traditional belief updating with credal nets, and on the kind of belief updating that arises with Bayesian nets when the reason for the missingness of some of the unobserved variables in the net is unknown. We show that the two updating problems are formally the same.

Keywords

Bayesian Network Mass Function Probability Table Markov Condition Imprecise Probability 
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Copyright information

© Springer 2006

Authors and Affiliations

  • Alessandro Antonucci
    • 1
  • Marco Zaffalon
    1. 1.Istituto Dalle Molle di Studi sull’Intelligenza Artificiale (IDSIA)Manno (Lugano)Switzerland

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