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Nonlinear prediction of chaotic time series using support vector machines


Author(s) : Federico Girosi Edgar Osuna Sayan Mukherjee, 
Publisher : N/A
Publication Date : 1997
ISSN : N/A
Abstract : Anovel method for regression has been recently proposed by V. Vapnik et al. [8, 9]. The technique, called Support Vector Machine (SVM), is very well founded from the mathematical point of view and seems to provide a new insight in function approximation. We implemented the SVM and tested it on the same data base of chaotic time series that was used in [1] to compare the performances of di erent approximation techniques, including polynomial and rational approximation, local polynomial techniques, Radial Basis Functions, and Neural Networks. The SVM performs better than the approaches presented in [1]. We also study, for a particular time series, the variability in performance with respect to the few free parameters of SVM. 1,