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Decision-Theoretic Specification of Credal Networks: A Unified Language for Uncertain Modeling with Sets of Bayesian Networks
 

Summary: Decision-Theoretic Specification of Credal Networks: A Unified
Language for Uncertain Modeling with Sets of Bayesian Networks
Alessandro Antonucci Marco Zaffalon
IDSIA, Istituto Dalle Molle di Studi sull'Intelligenza Artificiale,
Galleria 2, CH-6928 Manno (Lugano), Switzerland
{alessandro, zaffalon}@idsia.ch
Abstract
Credal networks are models that extend Bayesian nets to deal with imprecision in prob-
ability, and can actually be regarded as sets of Bayesian nets. Credal nets appear to be
powerful means to represent and deal with many important and challenging problems in
uncertain reasoning. We give examples to show that some of these problems can only be
modeled by credal nets called non-separately specified. These, however, are still missing
a graphical representation language and updating algorithms. The situation is quite the
opposite with separately specified credal nets, which have been the subject of much study
and algorithmic development. This paper gives two major contributions. First, it deliv-
ers a new graphical language to formulate any type of credal network, both separately and
non-separately specified. Second, it shows that any non-separately specified net represented
with the new language can be easily transformed into an equivalent separately specified net,
defined over a larger domain. This result opens up a number of new outlooks and concrete
outcomes: first of all, it immediately enables the existing algorithms for separately specified

  

Source: Antonucci, Alessandro - Istituto Dalle Molle di Studi sull'Intelligenza Artificiale (IDSIA)
Zaffalon, Marco - Istituto Dalle Molle di Studi sull' Intelligenza Artificiale (IDSIA)

 

Collections: Computer Technologies and Information Sciences