Inria Lille - Nord Europe, LPP - Laboratoire Paul Painlevé - UMR 8524, CERIM - Santé publique : épidémiologie et qualité des soins-EA 2694, Polytech Lille - École polytechnique universitaire de Lille, Université de Lille, Sciences et Technologies
Abstract : In this communication, we propose auto-associative (AA) models to generalize Principal component analysis (PCA). AA models have been introduced in data analysis from a geometrical point of view. They are based on the approximation of the observations scatter-plot by a differentiable manifold. They are interpreted as Projection pursuit models adapted to the auto-associative case. Their theoretical properties are established and are shown to extend the PCA ones. An iterative algorithm of construction is proposed and its principle is illustrated both on simulated and real data from image analysis.
Type de document :
Document associé à des manifestations scientifiques
Workshop on principal manifolds for data cartography and dimension reduction, Aug 2006, Leicester, United Kingdom
https://hal.inria.fr/hal-00985337
Contributeur : Stephane Girard
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Soumis le : mardi 29 avril 2014 - 15:16:10
Dernière modification le : jeudi 21 février 2019 - 10:34:08
Document(s) archivé(s) le : mardi 29 juillet 2014 - 12:45:10
Stéphane Girard, Serge Iovleff. Auto-Associative models and generalized Principal Component Analysis. Workshop on principal manifolds for data cartography and dimension reduction, Aug 2006, Leicester, United Kingdom. 〈hal-00985337〉
