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) …
Quaternion convolutional neural networks
Neural networks in the real domain have been studied for a long time and achieved
promising results in many vision tasks for recent years. However, the extensions of the …
promising results in many vision tasks for recent years. However, the extensions of the …
Foundations of geometric algebra computing
D Hildenbrand - AIP Conference Proceedings, 2012 - pubs.aip.org
Geometric Algebra has the power to lead easily from the geometric intuition of solving an
engineering application to its efficient implementation on current and future computing …
engineering application to its efficient implementation on current and future computing …
Applications of Clifford's geometric algebra
E Hitzer, T Nitta, Y Kuroe - Advances in Applied Clifford Algebras, 2013 - Springer
We survey the development of Clifford's geometric algebra and some of its engineering
applications during the last 15 years. Several recently developed applications and their …
applications during the last 15 years. Several recently developed applications and their …
Clifford support vector machines for classification, regression, and recurrence
EJ Bayro-Corrochano… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
This paper introduces the Clifford support vector machines (CSVM) as a generalization of
the real and complex-valued support vector machines using the Clifford geometric algebra …
the real and complex-valued support vector machines using the Clifford geometric algebra …
Quaternionic neural networks: Fundamental properties and applications
T Isokawa, N Matsui, H Nishimura - Complex-valued neural networks …, 2009 - igi-global.com
Quaternions are a class of hypercomplex number systems, a four-dimensional extension of
imaginary numbers, which are extensively used in various fields such as modern physics …
imaginary numbers, which are extensively used in various fields such as modern physics …
CGAPoseNet+ GCAN: A Geometric Clifford Algebra Network for Geometry-aware Camera Pose Regression
We introduce CGAPoseNet+ GCAN, which enhances CGAPoseNet, an architecture for
camera pose regression, with a Geometric Clifford Algebra Network (GCAN). With the …
camera pose regression, with a Geometric Clifford Algebra Network (GCAN). With the …
UAV's agricultural image segmentation predicated by clifford geometric algebra
Image segmentation is widely used in the field of agriculture to improve the yields and
protecting them from pests, herbs, shrubs, and weeds. Precision agriculture is also …
protecting them from pests, herbs, shrubs, and weeds. Precision agriculture is also …
Geometric algebra correntropy: definition and application to robust adaptive filtering
W Wang, H Zhao, X Zeng - … on Circuits and Systems II: Express …, 2019 - ieeexplore.ieee.org
Correntropy is an efficient tool for analyzing higher order statistical moments in non-
Gaussian noise environments. Correntropy has been used with real, complex, and …
Gaussian noise environments. Correntropy has been used with real, complex, and …