Obtaining the correspondence between bayesian and neural networks

A. Stassopoulou, M. Petrou

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We present in this paper a novel method for eliciting the conditional probability matrices needed for a Bayesian network with the help of a neural network. We demonstrate how we can obtain a correspondence between the two networks by deriving a closed-form solution so that the outputs of the two networks are similar in the least square error sense, not only when determining the discriminant function, but for the full range of their outputs. For this purpose we take into consideration the probability density functions of the independent variables of the problem when we compute the least square error approximation. Our methodoloy is demonstrated with the help of some real data concerning the problem of risk of desertification assessment for some burned forests in Attica, Greece where the parameters of the Bayesian network constructed for this task are successfully estimated given a neural network trained with a set of data.

Original languageEnglish
Pages (from-to)901-920
Number of pages20
JournalInternational Journal of Pattern Recognition and Artificial Intelligence
Volume12
Issue number7
Publication statusPublished - Nov 1998

Keywords

  • Bayesian networks
  • Conditional probability matrices
  • Least square approximation
  • Neural networks
  • Risk assessment

Fingerprint Dive into the research topics of 'Obtaining the correspondence between bayesian and neural networks'. Together they form a unique fingerprint.

  • Cite this