4 papers · 1 filter
Generalization of the HSIC and distance covariance using positive definite independent kernels
Jean Carlo Guella
Hilbert-Schmidt independence criterion and distance covariance are methods to describe independence of random variables using either the Kronecker product of positive definite kern…
Generalization of the energy distance by Bernstein functions
Jean Carlo Guella
We reprove the well known fact that the energy distance defines a metric on the space of Borel probability measures on a Hilbert space with finite first moment by a new approach, b…
On Gaussian kernels on Hilbert spaces and kernels on Hyperbolic spaces
Jean Carlo Guella
This paper describes the concepts of Universal/ Integrally Strictly Positive Definite/ -Universal for the Gaussian kernel on a Hilbert space. As a consequence we obtain a si…
Operator valued positive definite kernels and differentiable universality
Jean Carlo Guella
We present a characterization for a positive definite operator valued kernel to be universal or -universal, and apply these characterizations to a family of operator valued…