Learning Huge Bayesian Network Classifier with Augmented Naive Bayes

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  • Augmented Naive Bayesによる大規模ベイジアンネットワーク分類器学習

Abstract

A Bayesian network classifier (BNC) is known as a probabilistic classifier for discrete variables. Previous research indicates the exact learning of BNC with the Augmented Nai¨ve Bayes (ANB) structure constraint outperforms the approximation methods. However, the exact learning cannot learn the huge BNC. On the other hand, there is a constraint-based algorithm that can learn 3500 nodes Bayesian networks by the RAI algorithm with the transitivity. This paper proposes a method that extends this algorithm for the ANB learning, and proves that the proposed method has an asymptotic consistency for ANB structures. The experimental results show that the proposed method outperforms the other methods for the huge BNC learning.

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