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Mathematical Problems in Engineering
Volume 2010, Article ID 373648, 20 pages
Research Article

Stacked Heterogeneous Neural Networks for Time Series Forecasting

Faculty of Automatic Control and Computer Engineering, Technical University “Gheorghe Asachi” of Iaşi, Boulevard Mangeron 53A, 700050 Iaşi, Romania

Received 31 January 2010; Accepted 21 February 2010

Academic Editor: Cristian Toma

Copyright © 2010 Florin Leon and Mihai Horia Zaharia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A hybrid model for time series forecasting is proposed. It is a stacked neural network, containing one normal multilayer perceptron with bipolar sigmoid activation functions, and the other with an exponential activation function in the output layer. As shown by the case studies, the proposed stacked hybrid neural model performs well on a variety of benchmark time series. The combination of weights of the two stack components that leads to optimal performance is also studied.