Learning and Inferences of the Bayesian Network with Maximum Likelihood Parameters

  • Authors:
  • Jiadong Zhang;Kun Yue;Weiyi Liu

  • Affiliations:
  • Department of Computer Science and Engineering, School of Information Science and Engineering, Yunnan University, Kunming, P.R. China 650091;Department of Computer Science and Engineering, School of Information Science and Engineering, Yunnan University, Kunming, P.R. China 650091;Department of Computer Science and Engineering, School of Information Science and Engineering, Yunnan University, Kunming, P.R. China 650091

  • Venue:
  • ADMA '08 Proceedings of the 4th international conference on Advanced Data Mining and Applications
  • Year:
  • 2008

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Abstract

In real applications established on Bayesian networks (BNs), it is necessary to make inference for arbitrary evidence even it is not contained in existing conditional probability tables (CPTs). Aiming at this problem, in this paper, we discuss the learning and inferences of the BN with maximum likelihood parameters that replace the CPTs. We focus on the learning of the maximum likelihood parameters and give the corresponding methods for 2 kinds of BN inferences: forward inferences and backward inferences. Furthermore, we give the approximate inference method of BNs with maximum likelihood hypotheses. Preliminary experiments show the feasibility of our proposed methods.