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Features modeling with an α-stable distribution: Application to pattern recognition based on continuous belief functions
Abstract : The aim of this paper is to show the interest in fitting features with an α-stable distribution to classify imperfect data. The supervised pattern recognition is thus based on the theory of continuous belief functions, which is a way to consider imprecision and uncertainty of data. The distributions of features are supposed to be unimodal and estimated by a single Gaussian and α-stable model. Experimental results are first obtained from synthetic data by combining two features of one dimension and by considering a vector of two features. Mass functions are calculated from plausibility functions by using the generalized Bayes theorem. The same study is applied to the automatic classification of three types of sea floor (rock, silt and sand) with features acquired by a mono-beam echo-sounder. We evaluate the quality of the α-stable model and the Gaussian model by analyzing qualitative results, using a Kolmogorov-Smirnov test (K-S test), and quantitative results with classification rates. The performances of the belief classifier are compared with a Bayesian approach.
Littérature citée [54 références]
https://hal-ensta-bretagne.archives-ouvertes.fr/hal-01241564
Contributeur : Jean-Christophe Cexus <>
Soumis le : jeudi 10 décembre 2015 - 16:09:47
Dernière modification le : jeudi 7 janvier 2021 - 16:35:01
Archivage à long terme le : : vendredi 11 mars 2016 - 22:34:46
Contributeur : Jean-Christophe Cexus <>
Soumis le : jeudi 10 décembre 2015 - 16:09:47
Dernière modification le : jeudi 7 janvier 2021 - 16:35:01
Archivage à long terme le : : vendredi 11 mars 2016 - 22:34:46
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1501.05612.pdf
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