Further properties of Gaussian Reproducing Kernel Hilbert Spaces

10/23/2012

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We generalize the orthonormal basis for the Gaussian RKHS described in MinhGaussian2010 to an infinite, continuously parametrized, family of orthonormal bases, along with some implications. The proofs are direct generalizations of those in MinhGaussian2010.

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Further properties of Gaussian Reproducing Kernel Hilbert Spaces

A short note on compact embeddings of reproducing kernel Hilbert spaces in L^2 for infinite-variate function approximation

Uniform Function Estimators in Reproducing Kernel Hilbert Spaces

Composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

Kullback-Leibler and Renyi divergences in reproducing kernel Hilbert space and Gaussian process settings

Small Sample Spaces for Gaussian Processes

Experimental Design for Linear Functionals in Reproducing Kernel Hilbert Spaces

Sobolev Norm Learning Rates for Conditional Mean Embeddings

Further properties of Gaussian Reproducing Kernel Hilbert Spaces

Related Research

A short note on compact embeddings of reproducing kernel Hilbert spaces in L^2 for infinite-variate function approximation

Uniform Function Estimators in Reproducing Kernel Hilbert Spaces

Composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

Kullback-Leibler and Renyi divergences in reproducing kernel Hilbert space and Gaussian process settings

Small Sample Spaces for Gaussian Processes

Experimental Design for Linear Functionals in Reproducing Kernel Hilbert Spaces

Sobolev Norm Learning Rates for Conditional Mean Embeddings