33 citations · 76 across the 14 of their papers we have counts for
15 papers
On symmetric partition lattices and probability interactions
Jean Carlo Guella
The Möbius function of a partition lattice can be used to define interactions of probability measures. We call a lower set a symmetric partition lattice when it is invariant under…
Hilbert space embeddings of independence tests and interaction measures of several variables
Jean Carlo Guella
We present a unified theoretical framework for kernel-based measures of dependence on product spaces. Building on the ideas underlying distance covariance, distance multivariance,…
Hilbert space embeddings of independence tests of several variables with radial basis functions
Jean Carlo Guella
In this paper, we characterize several classes of continuous radial basis functions that can be employed to determine whether a interaction of a probability is zero or not. These f…
Strictly positive definite kernels on compact Riemannian manifolds
Jean Carlo Guella, Janin Jäger
The paper studies strictly positive definite kernels on compact Riemannian manifolds. We state new conditions to ensure strict positive definiteness for general kernels and kernels…
Positive definite matrix-valued kernels and their scalar valued projections: counterexamples
Jean Carlo Guella
In this paper we show that the strictly positive definite matrix valued isotropic kernels in the circle and the real dot product kernels in Euclidean spaces are not well behaved wi…
Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: The asymptotic approach
Jean Carlo Guella, Janin Jäger
We present sufficient condition for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite based on their representation as…