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Extreme Inaccuracies In Gaussian Bayesian Networks

Gomez-Villegas, Miguel Angel and Main Yaque, Paloma and Susi García, Rosario (2008) Extreme Inaccuracies In Gaussian Bayesian Networks. Journal Of Multivariate Analysis, 99 (9). pp. 1929-1940. ISSN 0047-259X

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To evaluate the impact of model inaccuracies over the network’s output, after the evidence propagation, in a Gaussian Bayesian network, a sensitivity measure is introduced. This sensitivity measure is the Kullback–Leibler divergence and yields different expressions depending on the type of parameter to be perturbed, i.e. on the inaccurate parameter.
In this work, the behavior of this sensitivity measure is studied when model inaccuracies are extreme,i.e. when extreme perturbations of the parameters can exist. Moreover, the sensitivity measure is evaluated for extreme situations of dependence between the main variables of the network and its behavior with extreme inaccuracies. This analysis is performed to find the effect of extreme uncertainty about the initial parameters of the model in a Gaussian Bayesian network and about extreme values of evidence. These ideas and procedures are illustrated with an example.

Item Type:Article
Uncontrolled Keywords:Gaussian Bayesian network; Sensitivity analysis; Kullback-Leibler divergence;Sensitivity-Analysis;Statistics & Probability
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:15831

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Deposited On:05 Jul 2012 09:59
Last Modified:06 Feb 2014 10:32

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