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Dynamic ridge polynomial neural network with Lyapunov function for time series forecasting

Waheeb, W, Ghazali, R and Hussain, AJ (2017) Dynamic ridge polynomial neural network with Lyapunov function for time series forecasting. Applied Intelligence. ISSN 0924-669X

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The ability to model the behaviour of arbitrary dynamic system is one of the most useful properties of recurrent networks. Dynamic ridge polynomial neural network (DRPNN) is a recurrent neural network used for time series forecasting. Despite the potential and capability of the DRPNN, stability problems could occur in the DRPNN due to the existence of the recurrent feedback. Therefore, in this study, a su cient condition based on an approach that uses adaptive learning rate is developed by introducing a Lyapunov function. To compare the performance of the proposed solution with the existing solution, which is derived based on the stability theorem for a feedback network, we used six time series, namely Darwin sea level pressure, monthly smoothed sunspot numbers, Lorenz, Santa Fe laser, daily Euro/Dollar exchange rate and Mackey-Glass time-delay di erential equation. Simulation results proved the stability of the proposed solution and showed an average 21.45% improvement in Root Mean Square Error (RMSE) with respect to the existing solution. Furthermore, the proposed solution is faster than the existing solution. This is due to the fact that the proposed solution solves network size restriction found in the existing solution and takes advantage of the calculated dynamic system variable to check the stability, unlike the existing solution that needs more calculation steps.

Item Type: Article
Additional Information: This is the accepted version of the following article: Waheeb, W., Ghazali, R. & Hussain, A. Appl Intell (2017) which has been published in final form at https://doi.org/10.1007/s10489-017-1036-7
Uncontrolled Keywords: 0801 Artificial Intelligence And Image Processing
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Computer Science & Mathematics
Publisher: Springer
Date Deposited: 17 Jul 2017 11:34
Last Modified: 04 Sep 2021 11:20
URI: https://researchonline.ljmu.ac.uk/id/eprint/6825
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