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First published online January 1, 2010

Gaussian Processes for Short-Term Traffic Volume Forecasting

Abstract

The accurate modeling and forecasting of traffic flow data such as volume and travel time are critical to intelligent transportation systems. Many forecasting models have been developed for this purpose since the 1970s. Recently kernel-based machine learning methods such as support vector machines (SVMs) have gained special attention in traffic flow modeling and other time series analyses because of their outstanding generalization capability and superior nonlinear approximation. In this study, a novel kernel-based machine learning method, the Gaussian processes (GPs) model, was proposed to perform short-term traffic flow forecasting. This GP model was evaluated and compared with SVMs and autoregressive integrated moving average (ARIMA) models based on four sets of traffic volume data collected from three interstate highways in Seattle, Washington. The comparative results showed that the GP and SVM models consistently outperformed the ARIMA model. This study also showed that because the GP model is formulated in a full Bayesian framework, it can allow for explicit probabilistic interpretation of forecasting outputs. This capacity gives the GP an advantage over SVMs to model and forecast traffic flow.

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References

1. Williams B. M., Durvasula P. K., and Brown D. E. Urban Freeway Traffic Flow Prediction: Application of Seasonal Autoregressive Integrated Moving Average and Exponential Smoothing Models. In Transportation Research Record 1644, TRB, National Research Council, Washington, D.C., 1998, pp. 132–141.
2. Ahmed M. S., and Cook A. R. Analysis of Freeway Traffic Time-Series Data By Using Box-Jenkins Techniques. In Transportation Research Record 722, TRB, National Research Council, Washington, D.C., 1979, pp. 1–9.
3. Nihan N. L., and Holmesland K. O. Use of the Box and Jenkins Time Series Technique in Traffic Forecasting. Transportation, Vol. 9, No. 2, 1980, pp. 125–143.
4. Davis G. A., and Nihan N. L. Nonparametric Regression and Short-Term Freeway Traffic Forecasting. Journal of Transportation Engineering, Vol. 117, No. 2, 1991, pp. 178–188.
5. Smith B. L., and Demetsky M. J. Traffic Flow Forecasting: Comparison of Modeling Approaches. Journal of Transportation Engineering, Vol. 123, No. 4, 1997, pp. 261–266.
6. Okutani I., and Stephanedes Y. J. Dynamic Prediction of Traffic Volume Through Kalman Filtering Theory. Transportation Research Part B, Vol. 18, No. 1, 1984, pp. 1–11.
7. Stathopoulos A., and Karlaftis M. G. A Multivariate State Space Approach for Urban Traffic Flow Modeling and Prediction. Transportation Research Part C, Vol. 11, No. 2, 2003, pp. 121–135.
8. Xie Y., Zhang Y., and Ye Z. Short-Term Traffic Volume Forecasting Using Kalman Filter with Discrete Wavelet Decomposition. Computer-Aided Civil and Infrastructure Engineering, Vol. 22, No. 5, 2007, pp. 326–334.
9. Smith B. L., and Demetsky M. J. Short-Term Traffic Flow Prediction: Neural Network Approach. In Transportation Research Record 1453, TRB, National Research Council, Washington, D.C., 1994, pp. 98–104.
10. Park B., Messer C. J., and Urbanik T. II Short-Term Freeway Traffic Volume Forecasting Using Radial Basis Function Neural Network. In Transportation Research Record 1651, TRB, National Research Council, Washington, D.C., 1998, pp. 39–47.
11. Yin H. B., Wong S. C., Xu J. M., and Wong C. K. Urban Traffic Flow Prediction Using a Fuzzy-Neural Approach. Transportation Research Part C, Vol. 10, No. 2, 2002, pp. 85–98.
12. Xie Y., and Zhang Y. A Wavelet Network Model for Short-Term Traffic Volume Forecasting. Journal of Intelligent Transportation Systems: Technology, Planning, and Operations, Vol. 10, No. 3, 2006, pp. 141–150.
13. Van Lint J. W. C., Hoogendoorn S. P., and Van Zuylen H. J. Accurate Freeway Travel Time Prediction with State-Space Neural Networks Under Missing Data. Transportation Research Part C, Vol. 13, Nos. 5-6, 2005, pp. 347–369.
14. Park D., and Rilett L. R. Forecasting Freeway Link Travel Times with a Multilayer Feedforward Neural Network. Computer-Aided Civil and Infrastructure Engineering, Vol. 14, No. 5, 1999, pp. 357–367.
15. Vlahogianni E. I., Karlaftis M. G., and Golias J. C. Optimized and Meta-Optimized Neural Networks for Short-Term Traffic Flow Prediction: A Genetic Approach. Transportation Research Part C, Vol. 13, No. 3, 2005, pp. 211–234.
16. Zhang Y., and Xie Y. Forecasting of Short-Term Freeway Volume with v-Support Vector Machines, In Transportation Research Record: Journal of the Transportation Research Board, No. 2024, Transportation Research Board of the National Academies, Washington, D.C., 2007, pp. 92–99.
17. Wu C. H., Ho J. M., and Lee D. T. Travel-Time Prediction with Support Vector Regression. IEEE Transactions on Intelligent Transportation Systems, Vol. 5, No. 4, 2004, pp. 276–281.
18. Van Der Voort M., Dougherty M., and Watson S. Combining Kohonen Maps with ARIMA Time Series Models to Forecast Traffic Flow. Transportation Research Part C, Vol. 4, No. 5, 1996, pp. 307–318.
19. Hornik K., Stinchcombe M., and White H. Multilayer Feedforward Networks Are Universal Approximators. Neural Networks, Vol. 2, No. 5, 1989, pp. 359–366.
20. Rasmussen C. E., and Williams C. K. I. Gaussian Processes for Machine Learning. The MIT Press, Cambridge, Mass., 2006.
21. Suykens J. A. K., Gestel T. V., Brabanter J. D., Moor B. D., and Vanderwalle J. Least Squares Support Vector Machines. World Scientific Publishing Co. Pte. Ltd., Singapore, 2002.
22. MacKay D. J. C. Gaussian Processes—A Replacement for Supervised Neural Networks? Tutorial. Neural Information Processing Systems Foundation, La Jolla, Calif., 1997.
23. Seeger M. Gaussian Processes for Machine Learning. International Journal of Neural Systems, Vol. 14, No. 2, 2004, pp. 69–106.
24. Chu W., Keerthi S. S., and Ong C. J. Bayesian Trigonometric Support Vector Classifier. Neural Computation, Vol. 15, No. 9, 2003, pp. 2227–2254.
25. Zhao K., Popescu S. C., and Zhang X. Bayesian Learning with Gaussian Processes for Supervised Classification of Hyperspectral Data. Photogrammetric Engineering & Remote Sensing, Vol. 74, No. 10, 2008, pp. 1223–1234.
26. Documentation for GPML MATLAB Code. http://www.gaussianprocess.org/gpml/code/matlab/doc/. Accessed Nov. 1, 2009.
27. The R Project for Statistical Computing (Version 2.9.1). http://www.r-project.org/. Accessed July 3, 2009.

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Article first published online: January 1, 2010
Issue published: January 2010

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© 2010 National Academy of Sciences.
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Authors

Affiliations

Yuanchang Xie
Civil and Mechanical Engineering Technology, South Carolina State University, Orangeburg, SC 29117.
Kaiguang Zhao
Spatial Science Lab, Texas A&M University, College Station, TX 77843.
Ying Sun
Department of Statistics, Texas A&M University, College Station, TX 77843.
Dawei Chen
School of Transportation, Southeast University, Nanjing, Jiangsu, China.

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