Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

Reference Curves Estimation Using Conditional Quantile and Radial Basis Function Network with Mass Constraint

Abstract :

This paper focuses on the improvement of reference curves building Y = q(X) using a fast algorithm, robust against outliers. Our method consists in plugging a radial basis function neural network in the local linear quantile regression estimation proposed by Yu and Jones (QYJ). This neural network (QRBFc) is designed with a constructive algorithm, introducing a constraint on its integral over the input space. After explaining the different models and algorithms, we compare the QYJ and QRBFc estimators with the quantile regression neural network (QRNN) implemented by A. J. Cannon through simulations with a known underlying model using the R software. We observe that the QRBFc estimator reduces the mean absolute deviation error obtained with other estimators by about 16 %, the introduction of the constraint allowing to lower the number of neurons and therefore the computation time. Finally, using a database of 416 electroencephalograms recorded on preterm infants,we compare the QYJ, QRBFc and QRNN models for the building of brain maturation curves which are based on the dependence of the mean duration of interburst intervals (called IBIs—periods of quiescence between periods of normal electrical activity) with the age. The pathological infants represent 12 % of the total population. Denoting by SA the set of individuals whose coordinates (age, mean IBI length) are above the 90 %-quantile curve, the QRBFc network improves by 16.5%the number of pathological infants in SA compared to QYJ, when QRNN proved to be too unstable.

Type de document :
Article dans une revue
Liste complète des métadonnées
Contributeur : Okina Univ Angers Connectez-vous pour contacter le contributeur
Soumis le : jeudi 2 septembre 2021 - 15:07:42
Dernière modification le : samedi 26 mars 2022 - 03:18:08
Archivage à long terme le : : vendredi 3 décembre 2021 - 20:17:30


Fichiers produits par l'(les) auteur(s)


Distributed under a Creative Commons Paternité 4.0 International License




M.-Anas Knefati, Pierre Chauvet, Sylvie Nguyen, Bassam Daya. Reference Curves Estimation Using Conditional Quantile and Radial Basis Function Network with Mass Constraint. Neural Processing Letters, Springer Verlag, 2014, 43, ⟨10.1007/s11063-014-9399-9⟩. ⟨hal-03287221⟩



Consultations de la notice


Téléchargements de fichiers