Abstract: Geometric algebra has been successfully extended to signal processing, feature extraction and pattern recognition, for example Clifford SVM, Clifford neural network, Clifford Fourier ...

[Hugo Hadfield] wrote to let us know about an intriguing series of talks that took place in February of this year at GAME2020, on the many applications of geometric algebra. The video playlist of ...

金谷 健一『幾何学と代数系 Geometric Algebra -ハミルトン,グラスマン,クリフォード』のレビュー アメリカの物理学者ヘステネスを中心に提唱された「幾何学的代数」(geometric algebra) に関する教科書。例を3次元に限定し，その応用に重点を置いている。 もくじ ...

Geometric Algebra (GA) has emerged as a transformative framework in power systems analysis, offering a unified mathematical language that extends classical vector and complex number techniques. By ...

This work investigated Projective Geometric Algebra (PGA) for 3D object classification using deep learning. We focused on classifying complex 3D geometries, specifically vascular structures. A key ...

This project is dedicated to the development of a Transformer-based architecture introduced in [1] designed specifically for handling geometric data. The primary objective is to create a model ...

The rigid body motion can be represented by a motor in geometric algebra, and the motor can be rewritten as a trinometric function of the screw blade. In this paper, a screw blade strapdown inertial ...