Sensitivity to evidence in Gaussian Bayesian networks using mutual information

Gómez Villegas, Miguel Ángel; Main Yaque, Paloma; Viviani, Paola

Sensitivity to evidence in Gaussian Bayesian networks using mutual information

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Official URL

https//doi.org/10.1016/j.ins.2014.02.025

Publication date

2014

Authors

Gómez Villegas, Miguel Ángel

Main Yaque, Paloma

Viviani, Paola

Publisher

Elsevier

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URI

https://hdl.handle.net/20.500.14352/33619

Citation

Gómez Villegas, M. Á., Main Yaque, P. & Viviani, P. «Sensitivity to Evidence in Gaussian Bayesian Networks Using Mutual Information». Information Sciences, vol. 275, agosto de 2014, pp. 115-26. DOI.org (Crossref), https://doi.org/10.1016/j.ins.2014.02.025.

Abstract

We introduce a methodology for sensitivity analysis of evidence variables in Gaussian Bayesian networks. Knowledge of the posterior probability distribution of the target variable in a Bayesian network, given a set of evidence, is desirable. However, this evidence is not always determined; in fact, additional information might be requested to improve the solution in terms of reducing uncertainty. In this study we develop a procedure, based on Shannon entropy and information theory measures, that allows us to prioritize information according to its utility in yielding a better result. Some examples illustrate the concepts and methods introduced.