A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement Layer

Time series prediction is crucial for advanced control and management of complex systems, while the actual data are usually highly nonlinear and nonstationary. A novel broad echo state network is proposed herein for the prediction problem of complex time series data. Firstly, the framework of the br...

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Main Authors: Wen-Jie Liu, Yu-Ting Bai, Xue-Bo Jin, Jian-Lei Kong, Ting-Li Su
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/13/6396
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author Wen-Jie Liu
Yu-Ting Bai
Xue-Bo Jin
Jian-Lei Kong
Ting-Li Su
author_facet Wen-Jie Liu
Yu-Ting Bai
Xue-Bo Jin
Jian-Lei Kong
Ting-Li Su
author_sort Wen-Jie Liu
collection DOAJ
description Time series prediction is crucial for advanced control and management of complex systems, while the actual data are usually highly nonlinear and nonstationary. A novel broad echo state network is proposed herein for the prediction problem of complex time series data. Firstly, the framework of the broad echo state network with cascade of mapping nodes (CMBESN) is designed by embedding the echo state network units into the broad learning system. Secondly, the number of enhancement layer nodes of the CMBESN is determined by proposing an incremental algorithm. It can obtain the optimal network structure parameters. Meanwhile, an optimization method is proposed based on the nonstationary statistic metrics to determine the enhancement layer. Finally, experiments are conducted both on the simulated and actual datasets. The results show that the proposed CMBESN and its optimization have good prediction capability for nonstationary time series data.
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spelling doaj.art-216d9c46b075482b9f35440d982cd66c2023-11-23T19:35:53ZengMDPI AGApplied Sciences2076-34172022-06-011213639610.3390/app12136396A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement LayerWen-Jie Liu0Yu-Ting Bai1Xue-Bo Jin2Jian-Lei Kong3Ting-Li Su4School of Artificial Intelligence, Beijing Technology and Business University, Beijing 100048, ChinaSchool of Artificial Intelligence, Beijing Technology and Business University, Beijing 100048, ChinaSchool of Artificial Intelligence, Beijing Technology and Business University, Beijing 100048, ChinaSchool of Artificial Intelligence, Beijing Technology and Business University, Beijing 100048, ChinaSchool of Artificial Intelligence, Beijing Technology and Business University, Beijing 100048, ChinaTime series prediction is crucial for advanced control and management of complex systems, while the actual data are usually highly nonlinear and nonstationary. A novel broad echo state network is proposed herein for the prediction problem of complex time series data. Firstly, the framework of the broad echo state network with cascade of mapping nodes (CMBESN) is designed by embedding the echo state network units into the broad learning system. Secondly, the number of enhancement layer nodes of the CMBESN is determined by proposing an incremental algorithm. It can obtain the optimal network structure parameters. Meanwhile, an optimization method is proposed based on the nonstationary statistic metrics to determine the enhancement layer. Finally, experiments are conducted both on the simulated and actual datasets. The results show that the proposed CMBESN and its optimization have good prediction capability for nonstationary time series data.https://www.mdpi.com/2076-3417/12/13/6396time series predictionecho state networksbroad learning systemnonstationary analysis
spellingShingle Wen-Jie Liu
Yu-Ting Bai
Xue-Bo Jin
Jian-Lei Kong
Ting-Li Su
A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement Layer
Applied Sciences
time series prediction
echo state networks
broad learning system
nonstationary analysis
title A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement Layer
title_full A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement Layer
title_fullStr A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement Layer
title_full_unstemmed A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement Layer
title_short A Novel Broad Echo State Network for Time Series Prediction: Cascade of Mapping Nodes and Optimization of Enhancement Layer
title_sort novel broad echo state network for time series prediction cascade of mapping nodes and optimization of enhancement layer
topic time series prediction
echo state networks
broad learning system
nonstationary analysis
url https://www.mdpi.com/2076-3417/12/13/6396
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