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Neural network construction and selection in nonlinear modeling

Isabelle Rivals 1 Léon Personnaz 1
1 ESA - Equipe de Statistique Appliquée (UMRS 1158)
ESPCI Paris - Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris, UMRS 1158 - Neurophysiologie Respiratoire Expérimentale et Clinique : UMRS1158
Abstract : In this paper, we study how statistical tools which are commonly used independently can advantageously be exploited together in order to improve neural network estimation and selection in nonlinear static modeling. The tools we consider are the analysis of the numerical conditioning of the neural network candidates, statistical hypothesis tests, and cross validation. We present and analyze each of these tools in order to justify at what stage of a construction and selection procedure they can be most useful. On the basis of this analysis, we then propose a novel and systematic construction and selection procedure for neural modeling. We finally illustrate its efficiency through large scale simulations experiments and real world modeling problems.
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Submitted on : Thursday, March 7, 2013 - 9:03:30 AM
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  • HAL Id : hal-00797670, version 1


Isabelle Rivals, Léon Personnaz. Neural network construction and selection in nonlinear modeling. IEEE Transactions on Neural Networks, Institute of Electrical and Electronics Engineers, 2003, 14 (4), pp.804-819. ⟨hal-00797670⟩



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