Learning a function and its derivative forcing the support vector expansion

IEEE Signal Processing Letters

Volumn 12, Issue 3, 2005, Pages 194-197

  Lázaro, Marcelino ^a   Pérez Cruz, Fernando ^b   Artés Rodríguez, Antonio ^a  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Function approximation; IRWLS; Support vectors; SVM

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; FUNCTIONS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; SIGNAL TO NOISE RATIO;

FUNCTION APPROXIMATION; ITERATIVE RE-WEIGHTED LEAST SQUARES (IRWLS) ALGORITHM; KERNEL BASED SUPPORT VECTOR EXPANSION; SUPPORT VECTOR MACHINE (SVM);

LEARNING SYSTEMS;

EID: 14644414184     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2004.840841     Document Type: Article

References (9)

1. A. M. Crosmun and S. A. Maas, "Minimization of intermodulation distortion in GaAs MESFET small-signal amplifiers," IEEE Trans. Microwave Theory Tech., vol. 37, no. 9, pp. 1411-1417, Sep. 1989.
2. M. Lázaro, I. Santamaría, F. Pérez-Cruz, and A. Artés-Rodríguez, "SVM for the simultaneous approximation of a function and its derivative," in Proc. IEEE Int. Workshop Neural Netw. Signal Process., Toulouse, France, 2003.
3. F. Pérez-Cruz, A. Navia-Vázquez, P. Alarcón-Diana, and A. Artés-Rodríguez, "An IRWLS procedure for SVR," in Proc. EUSIPCO, Tampere, Finland, Sep. 2000.
4. V. N. Vapnik, The Nature of Statistical Learning Theory. New York: Springer-Verlag, 1995.
5. M. Lázaro, I. Santamaría, F. Pérez-Cruz, and A. Artés-Rodríguez, "Support vector regression for the simultaneous learning of a multivariate function and its derivatives," Neurocomput., Special Issue NNSP03, 2004, submitted for publication.
6. B. Schölkopf and A. Smola, Learning With Kernels. Cambridge, MA: MIT Press, 2002.
7. K. Hornik, M. Stinchcombe, and H. White, "Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks," Neural Netw., vol. 3, pp. 551-560, 1990.
8. F. Pérez-Cruz, P. L. Alarcón-Diana, A. Navia-Vázquez, and A. Artés-Rodríguez, "Fast training of support vector classifiers," in Advances in Neural Information Processing Systems 13. Cambridge, MA: MIT Press, 2000.
9. F. Pérez-Cruz, C. Bousoño-Calzón, and A. Artés-Rodríguez, "Convergence of the IRWLS procedure to the support vector machine solution," Neural Comput., 2004. to be published.