[HTML][HTML] Fixed/Preassigned-time synchronization of fully quaternion-valued cohen–grossberg neural networks with generalized time delay
S Jia, C Hu, H Jiang - Mathematics, 2023 - mdpi.com
This article is concerned with fixed-time synchronization and preassigned-time
synchronization of Cohen–Grossberg quaternion-valued neural networks with discontinuous …
synchronization of Cohen–Grossberg quaternion-valued neural networks with discontinuous …
[HTML][HTML] Biased regression algorithms in the quaternion domain
RM Fernández-Alcalá, JD Jiménez-López… - Journal of the Franklin …, 2024 - Elsevier
The ill-conditioned matrix problem in quaternion linear regression models is addressed in
this paper and several dimension-reduction based regression methods for circumventing …
this paper and several dimension-reduction based regression methods for circumventing …
Robust face recognition using quaternion interval type II fuzzy logic–based feature extraction on colour images
S Yadav, VP Vishwakarma - Medical & Biological Engineering & …, 2024 - Springer
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 …
effect of integration of quaternion and interval type II fuzzy logic along with non-iterative …
An invitation to hypercomplex phase retrieval: Theory and applications
Hypercomplex signal processing (HSP) provides state-of-the-art tools to handle
multidimensional signals by harnessing intrinsic correlation of the signal dimensions …
multidimensional signals by harnessing intrinsic correlation of the signal dimensions …
Proper Processing of β-Quaternion Wide-sense Markov Signals from Randomly Lost Observations
RM Fern, JC Ruiz-Molina - IEEE Signal Processing Letters, 2024 - ieeexplore.ieee.org
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 …
quaternion domain, under conditions of first-order properness. This property offers a …
Holistic Processing of Color Images Using Novel Quaternion-Valued Wavelets on the Plane: A promising transformative tool [Hypercomplex Signal and Image …
ND Dizon, JA Hogan - IEEE Signal Processing Magazine, 2024 - ieeexplore.ieee.org
Recently, novel quaternion-valued wavelets on the plane were constructed using an
optimization approach. These wavelets are compactly supported, smooth, orthonormal …
optimization approach. These wavelets are compactly supported, smooth, orthonormal …
Holistic Processing of Colour Images Using Novel Quaternion-Valued Wavelets on the Plane
ND Dizon, JA Hogan - arXiv preprint arXiv:2308.16875, 2023 - arxiv.org
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 …
image processing. We present a methodology for decomposing and reconstructing colour …
The optimization of paths in the space time by Markov Chain Monte Carlos
S Furui, SD Santos - arXiv preprint arXiv:2406.14569, 2024 - arxiv.org
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 …
whose length is less than or equal to $2\times (6+ 2) $ lattice units. The factor 2 comes from …
Block-Diagonalization of Quaternion Circulant Matrices with Applications
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 …
matrix with imaginary unit. The main aim of this paper is to demonstrate that a quaternion …
Hierarchical Alternating Least Squares Methods for Quaternion Nonnegative Matrix Factorizations
J Pan - arXiv preprint arXiv:2407.15557, 2024 - arxiv.org
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 …
unified framework of quaternion nonnegative matrix factorization (QNMF) and present a …