Title :
Kernelized based functions with Minkovsky´s norm for SVM regression
Author_Institution :
Dept. of Informatics Eng., Coimbra Univ., Portugal
fDate :
6/24/1905 12:00:00 AM
Abstract :
Presents an empirical study for support vector machine (SVM) regression using Minkovsky´s norm in a Gaussian kernel function. Due to the encouraging results with RBF kernels, more generalized forms based on some distance measure are suitable to be investigated. The Euclidean distance has a natural generalization in the form of the Minkovsky distance function. The results presented on the approximation of sincos functions as well as on a time series prediction function show that Gaussian kernels with Minkovsky´s distance (α = 3) and (α = 6) evaluated on a 10-k cross validation basis present better generalization accuracy than RBF kernels (α = 2)
Keywords :
forecasting theory; function approximation; learning (artificial intelligence); learning automata; statistical analysis; time series; Euclidean distance; Gaussian kernel function; Minkovsky distance function; Minkovsky norm; SVM regression; distance measure; function approximation; kernelized based functions; learning algorithms; support vector machine regression; time series prediction function; Cost function; Equations; Extraterrestrial measurements; Hilbert space; Kernel; Loss measurement; Machine learning; Noise robustness; Radial basis function networks; Support vector machines;
Conference_Titel :
Neural Networks, 2002. IJCNN '02. Proceedings of the 2002 International Joint Conference on
Conference_Location :
Honolulu, HI
Print_ISBN :
0-7803-7278-6
DOI :
10.1109/IJCNN.2002.1007482