A Family of Quaternion-Valued Differential Evolution Algorithms for Numerical Function Optimization
The numerical optimization of continuous functions is a fundamental task in many scientific and engineering domains, ranging from mechanical design to training of artificial intelligence models. Among the most effective and widely used algorithms for this purpose is Differential Evolution (DE), known for its simplicity and strong performance. Recent research has shown that adapting AI models to operate over alternative number systems-such as complex numbers, quaternions, and geometric algebras-can improve model compactness and accuracy. However, such extensions remain underexplored in bio-inspired optimization algorithms. In particular, the use of quaternion algebra represents an emerging...
| Authors | Gerardo Altamirano-Gomez, Álvaro Gallardo, Carlos Ignacio Hernández Castellanos |
|---|---|
| Primary category | cs.NE |
| Published | 12 May 2026 |
| Last updated at source | 12 May 2026 |
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