Time Series Forecasting using Least Square Support Vector Machine for Canadian Lynx Data

Authors

  • Shuhaida Ismail Department of Mathematics, Science Faculty, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Ani Shabri Department of Mathematics, Science Faculty, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

DOI:

https://doi.org/10.11113/jt.v70.3510

Keywords:

Time series forecasting, support vector regression, least square support vector machine, canadian lynx data

Abstract

Time series analysis and forecasting is an active research area over the last few decades. There are various kinds of forecasting models have been developed and researchers have relied on statistical techniques to predict the future. This paper discusses the application of Least Square Support Vector Machine (LSSVM) models for Canadian Lynx forecasting. The objective of this paper is to examine the flexibility of LSSVM in time series forecasting by comparing it with other models in previous research such as Artificial Neural Networks (ANN), Auto-Regressive Integrated Moving Average (ARIMA), Feed-Forward Neural Networks (FNN), Self-Exciting Threshold Auto-Regression (SETAR), Zhang’s model, Aladang’s hybrid model and Support Vector Regression (SVR) model. The experiment results show that the LSSVM model outperforms the other models based on the criteria of Mean Absolute Error (MAE) and Mean Square Error (MSE). It also indicates that LSSVM provides a promising alternative technique in time series forecasting.

References

S. Ani. 2001. Comparision of Time Series Forecasting Methods Using Neural Networks and Box-Jenkins Model. Matematika. 17: 1–6.

C. H. Aladag, E. Egrioglu and C. Kadilar. 2009. Forecasting Nonlinear Time Series with a Hybrid Methodology. Applied Mathematics Letters. 22: 1467–1470.

L. Cao. 2003. Support Vector Machines Experts For Time Series Forecasting. Neurocomputing. 51: 321–339.

Y. B. Dibike, S. Velickov, D. P. Solomatine, and M. B. Abbott. 2001. Model Induction with Support Vector Machines: Introduction and Applications. ASCE Journal of Computing in Civil Engineering. 15(3): 208–216.

Y. Kajitani, W. H. Keith, and A. I. Mcleod. 2005. Forecasting Nonlinear Time Series With Feed-Forward Neural Networks: A Case Study of Canadian Lynx Data. Journal of Forecasting. 24: 105–117.

M. Khashei, and M. Bijari. 2010. An Artificial Neural Network (p,d,q) Model for Timeseries Forecasting. Expert Systems with Applications. 37. 479–489.

O. Kisi. 2004. River Flow Modeling Using Artificial Neural Networks. Journal of Hydrologic Engineering. 9(1): 60–63.

R. Sharda. 1994. Neural Networks for the MS/OR Analyst: An Application Bibliography. Interfaces. 24(2): 116–30.

F. E. H. Tay and L. J. Cao. 2001. Improved Financial Time Series Forecasting by Combining Support Vector Machines with Self-Organizing Feature Map. Intelligent Data Analysis. 5: 339–354.

V. Vapnik. 1995. The Nature of Statistical Learning Theory. Springer Verlag, Berlin.

G. P. Zhang. 2003. Time Series Forecasting Using a Hybrid ARIMA and Neural Network Model. Neurocomputing. 50: 159–175.

H. F. Zou, G. P. Xia, F. T. Yang, and H. Y. Wang. 2007. An Investigation and Comparison of Artificial Neural Network and Time Series Models for Chinese Food Grain Price Forecasting. Neurocomputing. 70: 2913–2923.

N. Cristianini, and J. Shawe-Taylor. 2000. An Introduction To Support Vector Machines and Other Kernel Based Learning Methods. Cambridge, Cambridge University Press.

J. A. K. Suykens, T. V. Gestel. 2005. Least Square Support Vector Machine. New Jersey, World Scientific.

C. L. Wu, K. W. Chau, et al. 2008. River Stage Prediction Based on a Distributed Support Vector Regression. Journal of Hydrology. 358(1–2): 96–111.

H. Wang, and D. Hu. 2005. Comparison Of SVM And LSSVM For Regression. International Conference on Neural Networks and Brain. 1: 279–283

A. J. Smola and B. Scholkopf. 2004. A Tutorial on Support Vector Regression. Statistics and Computing. 14: 199–222.

C. J. C. Burges. 1998. A Tutorial on Support Vector Machines for Pattern Recognition. Data Mining and Knowledge Discovery. 2: 121–167.

M. T. Gencoglu and M. Uyar. 2009. Prediction of Flashover Voltage of Insulators Using Least Squares Support Vector Machines. Expert Systems With Applications. 36: 10789–10798.

Y. B. Dibike, and D. P. Solomatine. 2001. River Flow Forecasting Using Artificial Neural Networks. Physics and Chemistry of the Earth, Part B: Hydrology, Oceans and Atmosphere. 26(1): 1–7.

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Published

2014-09-18

Issue

Section

Science and Engineering

How to Cite

Time Series Forecasting using Least Square Support Vector Machine for Canadian Lynx Data. (2014). Jurnal Teknologi, 70(5). https://doi.org/10.11113/jt.v70.3510