Clifford neural layers for pde modeling
Partial differential equations (PDEs) see widespread use in sciences and engineering to
describe simulation of physical processes as scalar and vector fields interacting and …
describe simulation of physical processes as scalar and vector fields interacting and …
Review of quaternion-based color image processing methods
Images are a convenient way for humans to obtain information and knowledge, but they are
often destroyed throughout the collection or distribution process. Therefore, image …
often destroyed throughout the collection or distribution process. Therefore, image …
A survey on quaternion algebra and geometric algebra applications in engineering and computer science 1995–2020
E Bayro-Corrochano - IEEE Access, 2021 - ieeexplore.ieee.org
Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics,
computer science, and engineering. This review presents a comprehensive study of works …
computer science, and engineering. This review presents a comprehensive study of works …
Geometric clifford algebra networks
Abstract We propose Geometric Clifford Algebra Networks (GCANs) for modeling dynamical
systems. GCANs are based on symmetry group transformations using geometric (Clifford) …
systems. GCANs are based on symmetry group transformations using geometric (Clifford) …
QCNN-H: Single-image dehazing using quaternion neural networks
Single-image haze removal is challenging due to its ill-posed nature. The breadth of real-
world scenarios makes it difficult to find an optimal dehazing approach that works well for …
world scenarios makes it difficult to find an optimal dehazing approach that works well for …
New applications of Clifford's geometric algebra
S Breuils, K Tachibana, E Hitzer - Advances in Applied Clifford Algebras, 2022 - Springer
The new applications of Clifford's geometric algebra surveyed in this paper include
kinematics and robotics, computer graphics and animation, neural networks and pattern …
kinematics and robotics, computer graphics and animation, neural networks and pattern …
Stability analysis of quaternion-valued BAM neural networks fractional-order model with impulses and proportional delays
X Mao, X Wang, H Qin - Neurocomputing, 2022 - Elsevier
In this paper, a class of quaternion-valued BAM neural networks (QVBAMNNs) fractional-
order model with impulses and proportional delays is proposed in discrete-time case. The …
order model with impulses and proportional delays is proposed in discrete-time case. The …
Structure preserving quaternion generalized minimal residual method
The main aim of this paper is to develop the quaternion generalized minimal residual
method (QGMRES) for solving quaternion linear systems. Quaternion linear systems arise …
method (QGMRES) for solving quaternion linear systems. Quaternion linear systems arise …
Quaternions in Signal and Image Processing: A comprehensive and objective overview
Quaternions are still largely misunderstood and often considered an “exotic” signal
representation without much practical utility despite the fact that they have been around the …
representation without much practical utility despite the fact that they have been around the …
Quaternion generative adversarial networks
E Grassucci, E Cicero, D Comminiello - Generative Adversarial Learning …, 2022 - Springer
Abstract Latest Generative Adversarial Networks (GANs) are gathering outstanding results
through a large-scale training, thus employing models composed of millions of parameters …
through a large-scale training, thus employing models composed of millions of parameters …