inria-00000666, version 2
Representation of Functional Data in Neural Networks
Fabrice Rossi 1, 2Nicolas Delannay 3Brieuc Conan-Guez 1, 2Michel Verleysen 3
Neurocomputing 64 (2005) 183--210
Résumé : Functional Data Analysis (FDA) is an extension of traditional data analysis to functional data, for example spectra, temporal series, spatio-temporal images, gesture recognition data, etc. Functional data are rarely known in practice; usually a regular or irregular sampling is known. For this reason, some processing is needed in order to benefit from the smooth character of functional data in the analysis methods. This paper shows how to extend the Radial-Basis Function Networks (RBFN) and Multi-Layer Perceptron (MLP) models to functional data inputs, in particular when the latter are known through lists of input-output pairs. Various possibilities for functional processing are discussed, including the projection on smooth bases, Functional Principal Component Analysis, functional centering and reduction, and the use of differential operators. It is shown how to incorporate these functional processing into the RBFN and MLP models. The functional approach is illustrated on a benchmark of spectrometric data analysis.
- 1 : AxIS (INRIA Rocquencourt / INRIA Sophia Antipolis)
- INRIA
- 2 : CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
- CNRS : UMR7534 – Université Paris IX - Paris Dauphine
- 3 : Dispositifs Intégrés et Circuits Electroniques Machine Learning Group (DICE - MLG)
- Université Catholique de Louvain
- Domaine : Informatique/Réseau de neurones
- Mots-clés : Functional data analysis – smooth data – projection on smooth bases – irregular sampling – missing data
- Commentaire : http://www.sciencedirect.com/science/journal/09252312
- Versions disponibles : v1 (14-11-2005) v2 (23-09-2007)
- inria-00000666, version 2
- http://hal.inria.fr/inria-00000666
- oai:hal.inria.fr:inria-00000666
- Contributeur : Fabrice Rossi
- Soumis le : Dimanche 23 Septembre 2007, 15:12:24
- Dernière modification le : Dimanche 23 Septembre 2007, 16:10:17






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