This article is concerned with fixed-time synchronization and preassigned-time
synchronization of Cohen–Grossberg quaternion-valued neural networks with discontinuous …

The ill-conditioned matrix problem in quaternion linear regression models is addressed in
this paper and several dimension-reduction based regression methods for circumventing …

In this paper, we propose a new robust and fast learning technique by investigating the
effect of integration of quaternion and interval type II fuzzy logic along with non-iterative …

Hypercomplex signal processing (HSP) provides state-of-the-art tools to handle
multidimensional signals by harnessing intrinsic correlation of the signal dimensions …

This work addresses the problem of estimating wide-sense Markov signals within the β-
quaternion domain, under conditions of first-order properness. This property offers a …

Recently, novel quaternion-valued wavelets on the plane were constructed using an
optimization approach. These wavelets are compactly supported, smooth, orthonormal …

We investigate the applicability of quaternion-valued wavelets on the plane to holistic colour
image processing. We present a methodology for decomposing and reconstructing colour …

We propose a method to obtain the optimal weight function of 9 paths in (3+ 1) D space-time
whose length is less than or equal to $2\times (6+ 2) $ lattice units. The factor 2 comes from …

It is well known that a complex circulant matrix can be diagonalized by a discrete Fourier
matrix with imaginary unit. The main aim of this paper is to demonstrate that a quaternion …

In this report, we discuss a simple model for RGB color and polarization images under a
unified framework of quaternion nonnegative matrix factorization (QNMF) and present a …