期刊
MACHINE LEARNING
卷 59, 期 3, 页码 323-354出版社
SPRINGER
DOI: 10.1007/s10994-005-0470-7
关键词
Bayesian networks; Bayesian network classifiers; naive Bayes; tree augmented naive Bayes; decomposable distributions; Bayesian model averaging
In this paper we present several Bayesian algorithms for learning Tree Augmented Naive Bayes (TAN) models. We extend the results in Meila & Jaakkola (2000a) to TANs by proving that accepting a prior decomposable distribution over TAN's, we can compute the exact Bayesian model averaging over TAN structures and parameters in polynomial time. Furthermore, we prove that the k-maximum a posteriori (MAP) TAN structures can also be computed in polynomial time. We use these results to correct minor errors in Meila & Jaakkola (2000a) and to construct several TAN based classifiers. We show that these classifiers provide consistently better predictions over Irvine datasets and artificially generated data than TAN based classifiers proposed in the literature.
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