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摘要:
To design the structure of echo state network (ESN), a pruning algorithm for modular echo state network (PMESN) based on sensitivity analysis is proposed in this paper. The reservoir of PMESN is made up of independent sub-reservoir modular networks. The weight matrices of sub-reservoir modular networks are obtained by the singular value decomposition (SVD), and the reservoir is generated by the block diagonal matrix theory. The residual error0s sensitivities to the sub-reservoir modular networks are deflned by their outputs and weight vectors connecting to the output layer. The signiflcance of the sub-reservoir modular networks is determined by sensitivity. The model scale adaptability is obtained and the sub-reservoir modular networks are sorted by the deflned sensitivities. Then, the number of requisite sub-reservoir modular networks is calculated by the model scale adaptability. The redundant sub-reservoir modular networks with smaller sensitivities are deleted. In the pruning process, the echo state property can be guaranteed without posterior scaling of the weights. The simulation results show that the proposed method can design the compact structure of ESN efiectively and has better generalization ability and robustness. Copyright © 2019 Acta Automatica Sinica. All rights reserved.
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Acta Automatica Sinica
ISSN: 0254-4156
年份: 2019
期: 6
卷: 45
页码: 1136-1145
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