Data mining tasks and methods: Probabilistic and casual networks: methodology for probabilistic networks

  • Authors:
  • Peter L. Spirtes

  • Affiliations:
  • Professor of Philosophy, Carnegie Mellon University, Pittsburgh, Pennsylvania

  • Venue:
  • Handbook of data mining and knowledge discovery
  • Year:
  • 2002

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Abstract

This article provides an overview of the uses, methods of construction, and interpretations of Bayesian networks. Bayesian networks have two distinct interpretations. Under the probabilistic interpretation, a Bayesian network consists of a directed acyclic graph over a set of random variables, and represents a set of probability distributions, all of which share certain conditional independence relations described by a Markov property. Interpreted in this way, a Bayesian network is a device that provides a means of eliciting probabilities from an expert, a compact representation of a probability distribution, and a means for quickly calculating arbitrary conditional probabilities. Under the causal interpretation, a Bayesian network is a directed acyclic graph where an edge represents direct causal relations between random variables. Under the causal intepretation, the Bayesian network can be used to calculate the effects of intervening on an existing causal system by manipulating the values of variables. Methods of construction are briefly described, and several examples are given.