3 papers
stat.ML2026
Hypercomplex Widely Linear Processing: Fundamentals for Quaternion Machine Learning
Sayed Pouria Talebi, Clive Cheong Took
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, biquat…
quant-ph2025
A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices
Sayed Pouria Talebi, Clive Cheong Took, Danilo P. Mandic
This article considers the problem of designing adaption and optimisation techniques for training quantum learning machines. To this end, the division algebra of quaternions is use…
stat.ML2024
The HR-Calculus: Enabling Information Processing with Quaternion Algebra
Danilo P. Mandic, Sayed Pouria Talebi, Clive Cheong Took +4
From their inception, quaternions and their division algebra have proven to be advantageous in modelling rotation/orientation in three-dimensional spaces and have seen use from the…