Search Results for author: Pauline Bourigault

Found 3 papers, 0 papers with code

Quaternion recurrent neural network with real-time recurrent learning and maximum correntropy criterion

no code implementations22 Feb 2024 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.

motion prediction

The HR-Calculus: Enabling Information Processing with Quaternion Algebra

no code implementations28 Nov 2023 Danilo P. Mandic, Sayed Pouria Talebi, Clive Cheong Took, Yili Xia, Dongpo Xu, Min Xiang, Pauline Bourigault

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 initial formulation of electromagnetic filed theory through to forming the basis of quantum filed theory.

Convex Quaternion Optimization for Signal Processing: Theory and Applications

no code implementations9 May 2023 Shuning Sun, Qiankun Diao, Dongpo Xu, Pauline Bourigault, Danilo P. Mandic

Convex optimization methods have been extensively used in the fields of communications and signal processing.

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