Bayesian Learning of Markov Network Structure

Aleks Jakulin and Irina Rish (2006) Bayesian Learning of Markov Network Structure. In: ECML 2006, August 2006, Berlin, Germany.

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Abstract

We propose a simple and efficient approach to building undirected probabilistic classification models (Markov networks) that extend naive Bayes classifiers and outperform existing directed probabilistic classifiers (Bayesian networks) of similar complexity. Our Markov network model is represented as a set of consistent probability distributions on subsets of variables. Inference with such a model can be done efficiently in closed form for problems like class probability estimation. We also propose a highly efficient Bayesian structure learning algorithm for conditional prediction problems, based on integrating along a hill-climb in the structure space. Our prior based on the degrees of freedom effectively prevents overfitting.

Available Versions of this Item.

• Kikuchi-Bayes: Factorized Models for Approximate Classification in Closed Form (deposited 27 Oct 2004)
  • Bayesian Learning of Markov Network Structure (deposited 10 Jan 2007)[Currently Displayed]

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