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Multiple-Reservoir Hierarchical Echo State Network

Author

Listed:
  • Shuxian Lun

    (School of Control Science and Engineering, Bohai University, Jinzhou 121013, China
    These authors contributed equally to this work.)

  • Zhenduo Sun

    (School of Control Science and Engineering, Bohai University, Jinzhou 121013, China
    These authors contributed equally to this work.)

  • Ming Li

    (School of Control Science and Engineering, Bohai University, Jinzhou 121013, China)

  • Lei Wang

    (School of Control Science and Engineering, Bohai University, Jinzhou 121013, China)

Abstract

Leaky Integrator Echo State Network (Leaky-ESN) is a useful training method for handling time series prediction problems. However, the singular coupling of all neurons in the reservoir makes Leaky-ESN less effective for sophisticated learning tasks. In this paper, we propose a new improvement to the Leaky-ESN model called the Multiple-Reservoir Hierarchical Echo State Network (MH-ESN). By introducing a new mechanism for constructing the reservoir, the efficiency of the network in handling training tasks is improved. The hierarchical structure is used in the process of constructing the reservoir mechanism of MH-ESN. The MH-ESN consists of multiple layers, each comprising a multi-reservoir echo state network model. The sub-reservoirs within each layer are linked via principal neurons, which mimics the functioning of a biological neural network. As a result, the coupling among neurons in the reservoir is decreased, and the internal dynamics of the reservoir are improved. Based on the analysis results, the MH-ESN exhibits significantly better prediction accuracy than Leaky-ESN for complex time series prediction.

Suggested Citation

  • Shuxian Lun & Zhenduo Sun & Ming Li & Lei Wang, 2023. "Multiple-Reservoir Hierarchical Echo State Network," Mathematics, MDPI, vol. 11(18), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3961-:d:1242307
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    References listed on IDEAS

    as
    1. Shuxian Lun & Zhenqian Zhang & Ming Li & Xiaodong Lu, 2023. "Parameter Optimization in a Leaky Integrator Echo State Network with an Improved Gravitational Search Algorithm," Mathematics, MDPI, vol. 11(6), pages 1-16, March.
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