Gaussian RBF-kernels via Fock spaces: quaternionic and several complex variables settings
Functional Analysis
2023-08-29 v1 Mathematical Physics
math.MP
Abstract
In this paper we study two extensions of the complex-valued Gaussian radial basis function (RBF) kernel and discuss their connections with Fock spaces in two different settings. First, we introduce the quaternonic Gaussian RBF kernel constructed using the theory of slice hyperholomorphic functions. Then, we consider the case of Gaussian RBF kernels in several complex variables.
Keywords
Cite
@article{arxiv.2308.14110,
title = {Gaussian RBF-kernels via Fock spaces: quaternionic and several complex variables settings},
author = {Antonino De Martino and Kamal Diki},
journal= {arXiv preprint arXiv:2308.14110},
year = {2023}
}
Comments
to appear in Quantum Studies: Mathematics and Foundations