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An Introduction to Inference and Learning in Bayesian Networks
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Fahimeh Moradi *   , Ali Karimnezhad , Soodabeh Shemehsavar |
| University of Tehran |
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Abstract: (9182 Views) |
| Bayesian networks (BNs) are modern tools for modeling phenomena in dynamic and static systems and are used in different subjects such as disease diagnosis, weather forecasting, decision making and clustering. A BN is a graphical-probabilistic model which represents causal relations among random variables and consists of a directed acyclic graph and a set of conditional probabilities. Structure learning and parameter learning are two main subjects in BNs. In this paper, we consider a BN with a known structure and then, by simulate some data, we try to learn structure of the network using two well-known algorithms, namely, PC and $ K_{2} $ algorithms. Then, we learn parameters of the network and derive the maximum likelihood, maximum a posteriori and posterior mean estimates of the corresponding parameters. Furthermore, we compare performance of the estimates using the Kullback-Leibler divergence criteria and finally, utilizing a real data set, we consider the structure and parameter learning tasks to illustrate practical utility of the proposed methods. |
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| Keywords: Bayesian networks, Dirichlet distribution, Parameter learning, Structure learning. |
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Full-Text [PDF 703 kb]
(3507 Downloads)
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Type of Study: Applicable |
Subject:
Special
Received: 2014/01/8 | Accepted: 2015/06/17 | Published: 2015/06/17
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