A survey of quaternion neural networks
Quaternion neural networks have recently received an increasing interest due to noticeable
improvements over real-valued neural networks on real world tasks such as image, speech …
improvements over real-valued neural networks on real world tasks such as image, speech …
Quaternion convolutional long short-term memory neural model with an adaptive decomposition method for wind speed forecasting: North aegean islands case …
An accurate prediction of short-term and long-term wind speed is necessary in order to
integrate wind energy into large-scale grid power. However, wind speed presents diverse …
integrate wind energy into large-scale grid power. However, wind speed presents diverse …
A journey from improper Gaussian signaling to asymmetric signaling
The deviation of continuous and discrete complex random variables from the traditional
proper and symmetric assumption to a generalized improper and asymmetric …
proper and symmetric assumption to a generalized improper and asymmetric …
Augmented second-order statistics of quaternion random signals
Second order statistics of quaternion random variables and signals are revisited in order to
exploit the complete second order statistical information available. The conditions for Q …
exploit the complete second order statistical information available. The conditions for Q …
A comprehensive review on the advancement of high-dimensional neural networks in quaternionic domain with relevant applications
The neurocomputing communities have focused much interest on quaternionic-valued
neural networks (QVNNs) due to the natural extension in quaternionic signals, learning of …
neural networks (QVNNs) due to the natural extension in quaternionic signals, learning of …
Optimization in quaternion dynamic systems: Gradient, hessian, and learning algorithms
The optimization of real scalar functions of quaternion variables, such as the mean square
error or array output power, underpins many practical applications. Solutions typically …
error or array output power, underpins many practical applications. Solutions typically …
Enabling quaternion derivatives: The generalized HR calculus
Quaternion derivatives exist only for a very restricted class of analytic (regular) functions;
however, in many applications, functions of interest are real-valued and hence not analytic …
however, in many applications, functions of interest are real-valued and hence not analytic …
The theory of quaternion matrix derivatives
A systematic framework for the calculation of the derivatives of quaternion matrix functions
with respect to quaternion matrix variables is introduced. The proposed approach is …
with respect to quaternion matrix variables is introduced. The proposed approach is …
A class of quaternion Kalman filters
C Jahanchahi, DP Mandic - IEEE Transactions on Neural …, 2013 - ieeexplore.ieee.org
The existing Kalman filters for quaternion-valued signals do not operate fully in the
quaternion domain, and are combined with the real Kalman filter to enable the tracking in 3 …
quaternion domain, and are combined with the real Kalman filter to enable the tracking in 3 …
Fixed-time and prescribed-time synchronization of quaternion-valued neural networks: A control strategy involving Lyapunov functions
T Peng, Y Wu, Z Tu, AS Alofi, J Lu - Neural Networks, 2023 - Elsevier
A control strategy containing Lyapunov functions is proposed in this paper. Based on this
strategy, the fixed-time synchronization of a time-delay quaternion-valued neural network …
strategy, the fixed-time synchronization of a time-delay quaternion-valued neural network …