This paper considers the Hermitian solutions of a new system of commutative quaternion matrix equations, where we establish both necessary and sufficient conditions for the …
This paper investigates global exponential stability of a class of Clifford-valued recurrent neural networks. By using Brouwer's fixed point theorem, the existence of the equilibrium …
M Kobayashi - IEEE transactions on neural networks and …, 2012 - ieeexplore.ieee.org
In recent years, several neural networks using Clifford algebra have been studied. Clifford algebra is also called geometric algebra. Complex-valued Hopfield neural networks …
In this paper, we address the stability of a broad class of discrete-time hypercomplex-valued Hopfield-type neural networks. To ensure the neural networks belonging to this class always …
The complex-valued Hopfield neural network (CHNN) can deal with multi-level information, and has often been applied to the storage of image data. The quaternion Hopfield neural …
M Kobayashi - IEEE Transactions on Neural Networks and …, 2019 - ieeexplore.ieee.org
A complex-valued Hopfield neural network (CHNN) is a multistate Hopfield model. Low noise tolerance is the main disadvantage of CHNNs. The hyperbolic Hopfield neural …
HH Kösal - Journal of Modern Optics, 2019 - Taylor & Francis
In this study, we derive the expressions of the minimal norm least-squares solution for the reduced biquaternion (RB) matrix equation AX= B by using the e 1− e 2 form of RB matrices …
Complex-valued Hopfield neural networks (CHNNs) have been applied to various fields, although they tend to suffer from low noise tolerance. Rotational invariance, which is an …
A multi-layered perceptron type neural network is presented and analyzed in this paper. All neuronal parameters such as input, output, action potential and connection weight are …