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Bayesian localization of anomaly in distributed networks with quadratic criterion

Abstract : The anomaly localization in distributed networks can be treated as a multiple hypothesis testing (MHT) problem and the Bayesian test with 0-1 loss function is a standard solution to this problem. However, For the anomaly localization application, the cost of different false localization varies, which cannot be reflected by the 0 - 1 loss function while the quadratic loss function is more appropriate. The main contribution of the paper is the design of a Bayesian test with a quadratic loss function and its performance analysis. The non-asymptotic bounds of the misclassification probabilities of the proposed test and the standard one with 0-1 loss function are established and the relationship between their asymptotic equivalence with respect to signal-to-noise ratio and the geometry of the parameter space is analyzed. The effectiveness of the non-asymptotic bounds and the analysis on the asymptotic equivalence are verified by the simulation results.
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https://hal.archives-ouvertes.fr/hal-01562634
Contributor : Lionel Fillatre <>
Submitted on : Sunday, July 16, 2017 - 3:19:15 PM
Last modification on : Thursday, June 25, 2020 - 12:32:04 PM

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Jian Zhang, Lionel Fillatre, Igor Nikiforov. Bayesian localization of anomaly in distributed networks with quadratic criterion. Journal of Intelligent and Fuzzy Systems, IOS Press, 2017, 32 (5), ⟨10.3233/JIFS-169295⟩. ⟨hal-01562634⟩

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