Some Properties of Gaussian Reproducing Kernel Hilbert Spaces and Their Implications for Function Approximation and Learning Theory

• DOI: 10.1007/s00365-009-9080-0
• Publication Date: 2009-12-28T16:47:48Z
• Authors: Ha Quang Minh
• Keywords: Representer theorem; Kernel (algebra)

We give several properties of the reproducing kernel Hilbert space induced by the Gaussian kernel, along with their implications for recent results in the complexity of the regularized least square algorithm in learning theory.