Learning Bayesian networks with restricted causal interactions

  • Authors:
  • Julian R. Neil;Chris S. Wallace;Kevin B. Korb

  • Affiliations:
  • School of Computer Science and Software Engineering, Monash University, Clayton, Vic., Australia;School of Computer Science and Software Engineering, Monash University, Clayton, Vic., Australia;School of Computer Science and Software Engineering, Monash University, Clayton, Vic., Australia

  • Venue:
  • UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
  • Year:
  • 1999

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Abstract

A major problem for the learning of Bayesian networks (BNs) is the exponential number of parameters needed for conditional probability tables. Recent research reduces this complexity by modeling local structure in the probability tables. We examine the use of log-linear local models. While log-linear models in this context are not new (Whittaker, 1990; Buntine, 1991; Neal, 1992; Heckerman and Meek, 1997), it is generally subsumed under a naive Bayes model. We describe an alternative using a Minimum Message Length (MML) (Wallace and Freeman, 1987) metric for the selection of local models with causal independence, which we term a first-order model (FOM). We also combine FOMs and full conditional models on a node-by-node basis.