125 citations · 128 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
Unsupervised Learning for Trustworthy IoT
Nikhil Banerjee, Thanassis Giannetsos, Emmanouil Panaousis +1
The advancement of Internet-of-Things (IoT) edge devices with various types of sensors enables us to harness diverse information with Mobile Crowd-Sensing applications (MCS). This…
Simultaneous diagonalisation of the covariance and complementary covariance matrices in quaternion widely linear signal processing
Min Xiang, Shirin Enshaeifar, Alexander E. Stott +4
Recent developments in quaternion-valued widely linear processing have established that the exploitation of complete second-order statistics requires consideration of both the stan…
Quaternion Derivatives: The GHR Calculus
Dongpo Xu, Cyrus Jahanchahi, Clive C. Took +1
Quaternion derivatives in the mathematical literature are typically defined only for analytic (regular) functions. However, in engineering problems, functions of interest are often…