# Applications of Clifford's Geometric Algebra

arXiv: https://arxiv.org/abs/1305.5663 · HTML: https://mlsanity.com/paper/1305.5663/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 May 2013.

## Built on by (most cited first, 3 of 3)

- [Acute Lymphoblastic Leukemia Detection Using Hypercomplex-Valued Convolutional Neural Networks](https://mlsanity.com/paper/2205.13273/) (2022)
- [Extending the Universal Approximation Theorem for a Broad Class of Hypercomplex-Valued Neural Networks](https://mlsanity.com/paper/2209.02456/) (2022)
- [Novel computational workflows for natural and biomedical image processing based on hypercomplex algebras](https://mlsanity.com/paper/2502.07758/) (2025)

## Abstract (arXiv)

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 merits are discussed in some detail. We thus hope to clearly demonstrate the benefit of developing problem solutions in a unified framework for algebra and geometry with the widest possible scope: from quantum computing and electromagnetism to satellite navigation, from neural computing to camera geometry, image processing, robotics and beyond.