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Neural Processing Letters
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IEEE Transactions on Neural Networks
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IEEE Transactions on Neural Networks
Expert Systems with Applications: An International Journal
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part II
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A novel admissible support vector kernel, namely the wavelet kernel satisfying wavelet frames, is presented based on the wavelet theory. The wavelet kernel can approximate arbitrary functions, and is especially suitable for local signal analysis, hence the generalization ability of the support vector machines (SVM) is improved. Based on the wavelet kernel and the least squares support vector machines, the least squares wavelet support vector machines (LS-WSVM) are constructed. In order to validate the performance of the wavelet kernel, LS-WSVM is applied to a nonlinear system identification problem, and the computational process is compared with that of the Gaussian kernel. The results show that the wavelet kernel is more efficient than the Gaussian kernel.