Forecasting Chaotic Time Series with Wavelet Neural Network Improved by Particle Swarm Optimization

The prediction of chaotic time series is an important research issue. To improve the prediction accuracy, a hybrid approach called WNN-PSO is proposed, which based on the self-learning ability of wavelet neural network, whose parameters are optimized by particle swarm optimization. The WNN-PSO method has higher prediction accuracy, fast convergence, and heightens the ability of jumping the local optimums. The experiment results of the prediction for chaotic time series show the feasibility and effectiveness of the proposed method. Compared with wavelet neural network and BP neural network, the proposed method are superior to them. Finally, the WNN-PSO is applied to predict the life energy consumption of china in our lives.

[1]  Zarita Zainuddin,et al.  Modified wavelet neural network in function approximation and its application in prediction of time-series pollution data , 2011, Appl. Soft Comput..

[2]  Qinghua Zhang,et al.  Using wavelet network in nonparametric estimation , 1997, IEEE Trans. Neural Networks.

[3]  Liang Zhao,et al.  Research on WNN aerodynamic modeling from flight data based on improved PSO algorithm , 2012, Neurocomputing.

[4]  Li Xiang,et al.  Improved wavelet neural network combined with particle swarm optimization algorithm and its application , 2006 .

[5]  Jiwen Dong,et al.  Time-series prediction using a local linear wavelet neural network , 2006, Neurocomputing.

[6]  Charles Wong,et al.  CARTMAP: a neural network method for automated feature selection in financial time series forecasting , 2012, Neural Computing and Applications.

[7]  Nikola K. Kasabov,et al.  DENFIS: dynamic evolving neural-fuzzy inference system and its application for time-series prediction , 2002, IEEE Trans. Fuzzy Syst..

[8]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[9]  Zhao Liang,et al.  Research on WNN aerodynamic modeling from flight data based on improved PSO algorithm , 2012 .

[10]  Chan-Ben Lin,et al.  A high precision global prediction approach based on local prediction approaches , 2002, IEEE Trans. Syst. Man Cybern. Part C.

[11]  李翔,et al.  Improved wavelet neural network combined with particle swarm optimization algorithm and its application , 2006 .

[12]  Guo Wei,et al.  Reservoir neural state reconstruction and chaotic time series prediction , 2007 .

[13]  Qinghua Zhang,et al.  Wavelet networks , 1992, IEEE Trans. Neural Networks.

[14]  Jun Xie,et al.  Research of BP Neural Network based on Improved Particle Swarm Optimization Algorithm , 2013, J. Networks.

[15]  Jun Zhang,et al.  Time Series Prediction Using Lyapunov Exponents In Embedding Phase Space , 1998, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218).

[16]  Farmer,et al.  Predicting chaotic time series. , 1987, Physical review letters.

[17]  Efstratios F. Georgopoulos,et al.  Forecasting foreign exchange rates with adaptive neural networks using radial-basis functions and Particle Swarm Optimization , 2013, Eur. J. Oper. Res..

[18]  Arash Miranian,et al.  Developing a Local Least-Squares Support Vector Machines-Based Neuro-Fuzzy Model for Nonlinear and Chaotic Time Series Prediction , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[19]  Foreword and Editorial International Journal of Hybrid Information Technology , 2022 .

[20]  Yi-Ming Wei,et al.  Carbon price forecasting with a novel hybrid ARIMA and least squares support vector machines methodology , 2013 .

[21]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[22]  Okyay Kaynak,et al.  Grey system theory-based models in time series prediction , 2010, Expert Syst. Appl..

[23]  Min Han,et al.  Prediction of chaotic time series based on the recurrent predictor neural network , 2004, IEEE Transactions on Signal Processing.

[24]  Bellie Sivakumar,et al.  River flow forecasting: use of phase-space reconstruction and artificial neural networks approaches , 2002 .

[25]  Kazuyuki Aihara,et al.  Chaos in neurons and its application: perspective of chaos engineering. , 2012, Chaos.