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Communication Dans Un Congrès Année : 2014

Inner and outer approximations of probabilistic sets

Résumé

This paper proposes a set-membership method to characterize a probabilistic set, i.e., a set enclosing the true value for the parameter vector of a parametric system with a given probability. The approach assumes that all errors are independent and an interval for the error is known. To each error interval, a probability to be an outlier is provided. It is shown that characterizing the probabilistic set is a set inversion problem. The main contribution of the paper is to provide a method to characterize the inner part of the probabilistic set. As an illustration, an application to the static localization of a mobile robot is considered.
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Dates et versions

hal-01121905 , version 1 (02-03-2015)

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Luc Jaulin, Alexandru Stancu, Benoît Desrochers. Inner and outer approximations of probabilistic sets. ICVRAM 2014, University of Liverpool, Jul 2014, Liverpool, United Kingdom. ⟨10.1061/9780784413609⟩. ⟨hal-01121905⟩
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