Hypercomplex Widely Linear Processing: Fundamentals for Quaternion Machine Learning
Numerous attempts have been made to replicate the success of complex-valued algebra in engineering and science to other hypercomplex domains such as quaternions, tessarines, biquaternions, and octonions. Perhaps, none have matched the success of quaternions. The most useful feature of quaternions lies in their ability to model three-dimensional rotations which, in turn, have found various industrial applications such as in aeronautics and computergraphics. Recently, we have witnessed a renaissance of quaternions due to the rise of machine learning. To equip the reader to contribute to this emerging research area, this chapter lays down the foundation for: - augmented statistics for modell...
| Authors | Sayed Pouria Talebi, Clive Cheong Took |
|---|---|
| Primary category | stat.ML |
| Published | 12 March 2026 |
| Last updated at source | 12 March 2026 |
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