Gaussian RBF Kernels via Fock Spaces: Quaternionic and Several Complex Variables Settings

Authors

Antonino De Martino, Politecnico di Milano
Kamal Diki, Chapman UniversityFollow

Document Type

Article

Publication Date

2-15-2024

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 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.

Comments

This article was originally published in Quantum Studies: Mathematics and Foundations, volume 11, in 2024. https://doi.org/10.1007/s40509-024-00318-7

Recommended Citation

De Martino, A., Diki, K. Gaussian RBF kernels via Fock spaces: quaternionic and several complex variables settings. Quantum Stud.: Math. Found. 11, 69–85 (2024). https://doi.org/10.1007/s40509-024-00318-7

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.