Design of Positive-Definite Quaternion Kernels

Tobar, Felipe; Mandic, Danilo P.

Abstract

Quaternion reproducing kernel Hilbert spaces (QRKHS) have been proposed recently and provide a high-dimensional feature space (alternative to the real-valued multikernel approach) for general kernel-learning applications. The current challenge within quaternion-kernel learning is the lack of general quaternion-valued kernels, which are necessary to exploit the full advantages of the QRKHS theory in real-world problems. This letter proposes a novel way to design quaternion-valued kernels, this is achieved by transforming three complex kernels into quaternion ones and then combining their real and imaginary parts. Building on this general construction, our emphasis is on a new quaternion kernel of polynomial features, which is assessed in the prediction of bodysensor networks applications.

Más información

Título según WOS: ID WOS:000359211000001 Not found in local WOS DB
Título de la Revista: IEEE SIGNAL PROCESSING LETTERS
Volumen: 22
Número: 11
Editorial: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Fecha de publicación: 2015
Página de inicio: 2117
Página final: 2121
DOI:

10.1109/LSP.2015.2457294

Notas: ISI