Further properties of Gaussian Reproducing Kernel Hilbert Spaces
arXiv:1210.6170v11 citations
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AI Analysis
This is an incremental theoretical extension for researchers in kernel methods and functional analysis.
The authors generalized the orthonormal basis for Gaussian reproducing kernel Hilbert spaces from a previous work to an infinite, continuously parametrized family of orthonormal bases, with direct proofs extending prior methods.
We generalize the orthonormal basis for the Gaussian RKHS described in \cite{MinhGaussian2010} to an infinite, continuously parametrized, family of orthonormal bases, along with some implications. The proofs are direct generalizations of those in \cite{MinhGaussian2010}.