Neural Computation
System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Neural and Adaptive Systems: Fundamentals through Simulations with CD-ROM
Neural and Adaptive Systems: Fundamentals through Simulations with CD-ROM
Time Series Prediction and Neural Networks
Journal of Intelligent and Robotic Systems
ICCS '01 Proceedings of the International Conference on Computational Science-Part II
Efficient Hybrid Neural Network for Chaotic Time Series Prediction
ICANN '01 Proceedings of the International Conference on Artificial Neural Networks
Time series forecasting: Obtaining long term trends with self-organizing maps
Pattern Recognition Letters - Special issue: Artificial neural networks in pattern recognition
Prediction of Chaotic Time Series Using LS-SVM with Automatic Parameter Selection
PDCAT '05 Proceedings of the Sixth International Conference on Parallel and Distributed Computing Applications and Technologies
Single-Step Prediction of Chaotic Time Series Using Wavelet-Networks
CERMA '06 Proceedings of the Electronics, Robotics and Automotive Mechanics Conference - Volume 01
Predicting Chaotic Time Series Using Neural and Neurofuzzy Models: A Comparative Study
Neural Processing Letters
Stock market prediction with multiple classifiers
Applied Intelligence
Chaotic Time Series Prediction Based on Radial Basis Function Network
SNPD '07 Proceedings of the Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing - Volume 01
Chaotic Time Series Prediction Using a Neuro-Fuzzy System with Time-Delay Coordinates
IEEE Transactions on Knowledge and Data Engineering
The use of NARX neural networks to predict chaotic time series
WSEAS Transactions on Computer Research
Forecasting Chaotic Time Series Based on Improved Genetic Wnn
ICNC '08 Proceedings of the 2008 Fourth International Conference on Natural Computation - Volume 05
Time series prediction using support vector machines: a survey
IEEE Computational Intelligence Magazine
Predicting chaotic time series by boosted recurrent neural networks
ICONIP'06 Proceedings of the 13th international conference on Neural Information Processing - Volume Part II
Forecasting time series with genetic fuzzy predictor ensemble
IEEE Transactions on Fuzzy Systems
Predicting sun spots using a layered perceptron neural network
IEEE Transactions on Neural Networks
Hybrid adaptive wavelet-neuro-fuzzy system for chaotic time series identification
Information Sciences: an International Journal
Quantized Neural Modeling: Hybrid Quantized Architecture in Elman Networks
Neural Processing Letters
Modular state space of echo state network
Neurocomputing
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Residual analysis using hybrid Elman-NARX neural network along with embedding theorem is used to analyze and predict chaotic time series. Using embedding theorem, the embedding parameters are determined and the time series is reconstructed into proper phase space points. The embedded phase space points are fed into an Elman neural network and trained. The residual of predicted time series is analyzed, and it was observed that residuals demonstrate chaotic behaviour. The residuals are considered as a new chaotic time series and reconstructed according to embedding theorem. A new Elman neural network is trained to predict the future value of the residual time series. The residual analysis is repeated several times. Finally, a NARX network is used to capture the relationship among the predicted value of original time series and residuals and original time series. The method is applied to Mackey-Glass and Lorenz equations which produce chaotic time series, and to a real life chaotic time series, Sunspot time series, to evaluate the validity of the proposed technique. Numerical experimental results confirm that the proposed method can predict the chaotic time series more effectively and accurately when compared with the existing prediction methods.