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Simulation of Varying Parameter Recurrent Neural Network with application to matrix inversion

Author

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  • Stanimirović, Predrag
  • Gerontitis, Dimitris
  • Tzekis, Panagiotis
  • Behera, Ratikanta
  • Sahoo, Jajati Keshari

Abstract

A class of adaptive recurrent neural networks (RNN) for computing the inverse of a time-varying matrix with accelerated convergence time is defined and considered. The proposed neural dynamic model involves an exponential gain time-varying term in the nonlinear activation of the finite-time Zhang neural network (FTZNN) dynamical equation. Individual models belonging to the proposed class are defined by means of corresponding error functions. It is shown theoretically and experimentally that usage of the exponential nonlinear activation accelerates the convergence rate of the error function compared to previous dynamical systems for solving the time-varying (TV) and time-invariant (TI) matrix inversion.

Suggested Citation

  • Stanimirović, Predrag & Gerontitis, Dimitris & Tzekis, Panagiotis & Behera, Ratikanta & Sahoo, Jajati Keshari, 2021. "Simulation of Varying Parameter Recurrent Neural Network with application to matrix inversion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 614-628.
    • Handle: RePEc:eee:matcom:v:185:y:2021:i:c:p:614-628
    DOI: 10.1016/j.matcom.2021.01.018
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    References listed on IDEAS

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    1. Kate A. Smith, 1999. "Neural Networks for Combinatorial Optimization: A Review of More Than a Decade of Research," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 15-34, February.
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    Cited by:

    1. Zhu, Jingcan & Jin, Jie & Chen, Weijie & Gong, Jianqiang, 2022. "A combined power activation function based convergent factor-variable ZNN model for solving dynamic matrix inversion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 291-307.
    2. Jin, Jie & Chen, Weijie & Qiu, Lixin & Zhu, Jingcan & Liu, Haiyan, 2023. "A noise tolerant parameter-variable zeroing neural network and its applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 482-498.

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