Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series Prediction

In order to enhance the prediction accuracy and computational efficiency of chaotic sequence data, issues such as gradient explosion and the long computation time of traditional methods need to be addressed. In this paper, an improved Particle Swarm Optimization (PSO) algorithm and Long Short-Term M...

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Main Authors: Zijian Cai, Guolin Feng, Qiguang Wang
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Atmosphere
Subjects:
Online Access:https://www.mdpi.com/2073-4433/14/11/1696
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author Zijian Cai
Guolin Feng
Qiguang Wang
author_facet Zijian Cai
Guolin Feng
Qiguang Wang
author_sort Zijian Cai
collection DOAJ
description In order to enhance the prediction accuracy and computational efficiency of chaotic sequence data, issues such as gradient explosion and the long computation time of traditional methods need to be addressed. In this paper, an improved Particle Swarm Optimization (PSO) algorithm and Long Short-Term Memory (LSTM) neural network are proposed for chaotic prediction. The temporal pattern attention mechanism (TPA) is introduced to extract the weights and key information of each input feature, ensuring the temporal nature of chaotic historical data. Additionally, the PSO algorithm is employed to optimize the hyperparameters (learning rate, number of iterations) of the LSTM network, resulting in an optimal model for chaotic data prediction. Finally, the validation is conducted using chaotic data generated from three different initial values of the Lorenz system. The root mean square error (RMSE) is reduced by 0.421, the mean absolute error (MAE) is reduced by 0.354, and the coefficient of determination (R<sup>2</sup>) is improved by 0.4. The proposed network demonstrates good adaptability to complex chaotic data, surpassing the accuracy of the LSTM and PSO-LSTM models, thereby achieving higher prediction accuracy.
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spelling doaj.art-0bc2de59e83947c4bc97892af6cc91a42023-11-24T14:28:46ZengMDPI AGAtmosphere2073-44332023-11-011411169610.3390/atmos14111696Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series PredictionZijian Cai0Guolin Feng1Qiguang Wang2College of Physical Science and Technology, Yangzhou University, Yangzhou 225002, ChinaCollege of Physical Science and Technology, Yangzhou University, Yangzhou 225002, ChinaChina Meteorological Administration Training Center, China Meteorological Administration, Beijing 100081, ChinaIn order to enhance the prediction accuracy and computational efficiency of chaotic sequence data, issues such as gradient explosion and the long computation time of traditional methods need to be addressed. In this paper, an improved Particle Swarm Optimization (PSO) algorithm and Long Short-Term Memory (LSTM) neural network are proposed for chaotic prediction. The temporal pattern attention mechanism (TPA) is introduced to extract the weights and key information of each input feature, ensuring the temporal nature of chaotic historical data. Additionally, the PSO algorithm is employed to optimize the hyperparameters (learning rate, number of iterations) of the LSTM network, resulting in an optimal model for chaotic data prediction. Finally, the validation is conducted using chaotic data generated from three different initial values of the Lorenz system. The root mean square error (RMSE) is reduced by 0.421, the mean absolute error (MAE) is reduced by 0.354, and the coefficient of determination (R<sup>2</sup>) is improved by 0.4. The proposed network demonstrates good adaptability to complex chaotic data, surpassing the accuracy of the LSTM and PSO-LSTM models, thereby achieving higher prediction accuracy.https://www.mdpi.com/2073-4433/14/11/1696chaotic sequenceparticle swarm optimization algorithmtime-mode attention mechanismlong short-term memoryLorenz system
spellingShingle Zijian Cai
Guolin Feng
Qiguang Wang
Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series Prediction
Atmosphere
chaotic sequence
particle swarm optimization algorithm
time-mode attention mechanism
long short-term memory
Lorenz system
title Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series Prediction
title_full Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series Prediction
title_fullStr Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series Prediction
title_full_unstemmed Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series Prediction
title_short Based on the Improved PSO-TPA-LSTM Model Chaotic Time Series Prediction
title_sort based on the improved pso tpa lstm model chaotic time series prediction
topic chaotic sequence
particle swarm optimization algorithm
time-mode attention mechanism
long short-term memory
Lorenz system
url https://www.mdpi.com/2073-4433/14/11/1696
work_keys_str_mv AT zijiancai basedontheimprovedpsotpalstmmodelchaotictimeseriesprediction
AT guolinfeng basedontheimprovedpsotpalstmmodelchaotictimeseriesprediction
AT qiguangwang basedontheimprovedpsotpalstmmodelchaotictimeseriesprediction