5 papers
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…
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…
Quaternion recurrent neural network with real-time recurrent learning and maximum correntropy criterion
Pauline Bourigault, Dongpo Xu, Danilo P. Mandic
We develop a robust quaternion recurrent neural network (QRNN) for real-time processing of 3D and 4D data with outliers. This is achieved by combining the real-time recurrent learn…
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…
On the dynamics of multi agent nonlinear filtering and learning
Sayed Pouria Talebi, Danilo Mandic
Multiagent systems aim to accomplish highly complex learning tasks through decentralised consensus seeking dynamics and their use has garnered a great deal of attention in the sign…