Gaussian RBF kernels via Fock spaces: quaternionic and several complex variables settings-Reference-Cited by-同舟云学术

Gaussian RBF kernels via Fock spaces: quaternionic and several complex variables settings

Published:2024-02-15 Issue:1 Volume:11 Page:69-85
ISSN:2196-5609
Container-title:Quantum Studies: Mathematics and Foundations
language:en
Short-container-title:Quantum Stud.: Math. Found.

Author:

De Martino Antonino,Diki Kamal

Abstract

AbstractIn 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 quaternionic Gaussian RBF kernel constructed using the theory of slice hyperholomorphic functions. Then, we consider the case of Gaussian RBF kernels in several complex variables.

Funder

Politecnico di Milano

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s40509-024-00318-7.pdf

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