PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Reduced-size kernel models for nonlinear hybrid system identification
Van Luong Le, Gérard Bloch and fabien lauer
IEEE Transactions on Neural Networks Volume 22, Number 12, pp. 2398-2405, 2011.

Abstract

The paper focuses on the identification of nonlinear hybrid dynamical systems, i.e., systems switching between multiple nonlinear dynamical behaviors. Thus the aim is to learn an ensemble of submodels from a single set of input-output data in a regression setting with no prior knowledge on the grouping of the data points into similar behaviors. To be able to approximate arbitrary nonlinearities, kernel submodels are considered. However, in order to maintain efficiency when applying the method to large data sets, a preprocessing step is required in order to fix the submodel sizes and limit the number of optimization variables. This paper proposes four approaches, respectively inspired by the fixed-size least-squares support vector machines, the feature vector selection method, the kernel principal component regression and a modification of the latter, in order to deal with this issue and build sparse kernel submodels. These are compared in numerical experiments, which show that the proposed approach achieves the simultaneous classification of data points and approximation of the nonlinear behaviors in an efficient and accurate manner.

EPrint Type:Article
Additional Information:HAL link: http://hal.archives-ouvertes.fr/hal-00596049/en/
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Learning/Statistics & Optimisation
ID Code:8591
Deposited By:fabien lauer
Deposited On:13 February 2012