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In this paper, we use the Factor Analysis (FA) to determine the node ordering as an input for K2 algorithm in the task of learning Bayesian network structure. For this purpose, we use the communality concept in factor analysis. Communality indicates the proportion of each variable's variance that can be explained by the retained factors. This method is much easier than ordering-based approaches which do explore the ordering space. Because it depends only on the correlation matrix. As well, experimental results over benchmark networks ‘Alarm’ and ‘Hailfinder’ show that our new method has higher accuracy and better degree of data matching.

A Simple Node Ordering Method for the K2 Algorithm based on the Factor Analysis