3 papers
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…
cs.LG2025
Kernel-Based Anomaly Detection Using Generalized Hyperbolic Processes
Pauline Bourigault, Danilo P. Mandic
We present a novel approach to anomaly detection by integrating Generalized Hyperbolic (GH) processes into kernel-based methods. The GH distribution, known for its flexibility in m…
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…