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CLC number: TP183

On-line Access: 2012-09-05

Received: 2012-03-15

Revision Accepted: 2012-07-03

Crosschecked: 2012-07-06

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Journal of Zhejiang University SCIENCE C 2012 Vol.13 No.9 P.689-701


Modeling deterministic echo state network with loop reservoir

Author(s):  Xiao-chuan Sun, Hong-yan Cui, Ren-ping Liu, Jian-ya Chen, Yun-jie Liu

Affiliation(s):  Beijing Key Laboratory of Network System Architecture and Convergence, Beijing University of Posts and Telecommunications, Beijing 100876, China; more

Corresponding email(s):   jrsxc@163.com

Key Words:  Echo state networks, Loop reservoir structure, Memory capacity

Xiao-chuan Sun, Hong-yan Cui, Ren-ping Liu, Jian-ya Chen, Yun-jie Liu. Modeling deterministic echo state network with loop reservoir[J]. Journal of Zhejiang University Science C, 2012, 13(9): 689-701.

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A1 - Xiao-chuan Sun
A1 - Hong-yan Cui
A1 - Ren-ping Liu
A1 - Jian-ya Chen
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.C1200069

Echo state network (ESN), which efficiently models nonlinear dynamic systems, has been proposed as a special form of recurrent neural network. However, most of the proposed ESNs consist of complex reservoir structures, leading to excessive computational cost. Recently, minimum complexity ESNs were proposed and proved to exhibit high performance and low computational cost. In this paper, we propose a simple deterministic ESN with a loop reservoir, i.e., an ESN with an adjacent-feedback loop reservoir. The novel reservoir is constructed by introducing regular adjacent feedback based on the simplest loop reservoir. Only a single free parameter is tuned, which considerably simplifies the ESN construction. The combination of a simplified reservoir and fewer free parameters provides superior prediction performance. In the benchmark datasets and real-world tasks, our scheme obtains higher prediction accuracy with relatively low complexity, compared to the classic ESN and the minimum complexity ESN. Furthermore, we prove that all the linear ESNs with the simplest loop reservoir possess the same memory capacity, arbitrarily converging to the optimal value.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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