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Time-varying generalized tensor eigenanalysis via Zhang neural networks

Neurocomputing, 2020
Abstract Eigenanalysis of matrices with parameters has a long history. When the parameter is time, or the matrix is time-dependent, the Zhang neural networks for the time-varying matrix problem have been developed in recent years. Motivated by tensor generalized eigenvalues and the Zhang dynamics method, we investigate the time-varying eigenpair of ...
Changxin Mo   +2 more
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A Simplified Architecture of the Zhang Neural Network for Toeplitz Linear Systems Solving

Neural Processing Letters, 2017
In this paper, we derive a compact implementation of the discrete time Zhang neural network for computing the solution of an $$n\times n$$ Toeplitz linear system.
Fella Charif   +2 more
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General 9-instant discrete-time Zhang neural network for time-dependent applications

Journal of the Franklin Institute, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhuosong Fu, Yunong Zhang
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Simulink Modeling and Comparison of Zhang Neural Networks and Gradient Neural Networks for Time-Varying Lyapunov Equation Solving

2008 Fourth International Conference on Natural Computation, 2008
In view of the great potential in parallel processing and ready implementation via hardware, neural networks are now often employed to solve online matrix algebraic problems. Recently, a special kind of recurrent neural network has been proposed by Zhang et al, which could be generalized to solving online Lyapunov equation with time-varying coefficient
Yunong Zhang   +4 more
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Applying of Zhang neural network in time-varying nonlinear function optimization

2023
Intelligent Multimedia Processing and Communication Systems (IMPCS),4(2 ...
Karami, Elaahe   +2 more
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Simulation and Verification of Zhang Neural Networks and Gradient Neural Networks for Time-Varying Stein Equation Solving

2011
Differing from gradient-based neural networks (GNN), In this paper, we present a special kind of recurrent neural networks using a new design method to solve online the time-varying Stein matrix equation A(t)X(t)B(t) + X(t) = C(t). This paper investigates simulation and verification of the resultant Zhang neural networks (ZNN) for the nonstationary ...
Chenfu Yi, Yuhuan Chen, Huajin Wang
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Discrete-time noise-tolerant Zhang neural network for dynamic matrix pseudoinversion

Soft Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiuhong Xiang   +4 more
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Zhang Neural Network for Online Solution of Time-Varying Sylvester Equation

2007
Different from gradient-based neural networks, a special kind of recurrent neural network has recently been proposed by Zhang et al for real-time solution of time-varying problems. In this paper, we generalize such a design method to solving online the time-varying Sylvester equation.
Yunong Zhang, Zhengping Fan, Zhonghua Li
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Multi-dimensional Capon spectral estimation using discrete Zhang neural networks

Multidimensional Systems and Signal Processing, 2012
The minimum variance spectral estimator, also known as the Capon spectral estimator, is a high resolution spectral estimator used extensively in practice. In this paper, we derive a novel implementation of a very computationally demanding matched filter-bank based a spectral estimator, namely the multi-dimensional Capon spectral estimator. To avoid the
Abderrazak Benchabane   +3 more
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Zhang Neural Network Versus Gradient Neural Network for Online Time-Varying Quadratic Function Minimization

2008
With the proved efficacy on solving linear time-varying matrix or vector equations, Zhang neural network (ZNN) could be generalized and developed for the online minimization of time-varying quadratic functions. The minimum of a time-varying quadratic function can be reached exactly and rapidly by using Zhang neural network, as compared with ...
Yunong Zhang   +3 more
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