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Improving traffic flow forecasting with relevance vector machine and a randomized controlled statistical testing

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Abstract

High-accuracy traffic flow forecasting is vital to the development of intelligent city transportation systems. Recently, traffic flow forecasting models based on the kernel method have been widely applied due to their great generalization capability. The aim of this article is twofold: A novel kernel learning method, relevance vector machine, is employed to short-term traffic flow forecasting so as to capture the inner correlation between sequential traffic flow data, it is a type of nonlinear model which is accurate and using only a small number of relevant basis functions automatically selected. So that it can find concise data representations which are adequate for the learning task retaining as much information as possible. On the other hand, the sample size for learning has a significant impact on forecasting accuracy. How to balancing the relationship between the sample size and the forecasting accuracy is an important research topic. A randomized controlled statistical testing is layout to evaluating the impacts of sample size of the new proposed traffic flow forecasting model. The experimental results show that the new model achieves similar or better forecasting and generalization performance compared to some old ones; besides, it is less sensitive to the size of learning sample.

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References

  • Acqua P, Bellotti F, Berta R (2015) Time-aware multivariate nearest neighbor regression methods for traffic flow prediction. IEEE Trans Intell Transp Syst 16(6):3393–3402

    Article  Google Scholar 

  • Al-Smadi M, Qawasmeh O, Al-Ayyoub M, Jararweh Y, Gupta B-B (2017) Deep recurrent neural network vs. support vector machine for aspect-based sentiment analysis of Arabic Hotels’ reviews. J Comput Sci 27:386–393

    Article  Google Scholar 

  • Cai P, Wang Y, Lu G (2016) A spatiotemporal correlative k-nearest neighbor model for short-term traffic multistep forecasting. Transp Res Part C Emerg Technol 62:21–34

    Article  Google Scholar 

  • Chan K, Dillon T, Singh J (2012) Neural network based models for short-term traffic flow forecasting using a hybrid exponential smoothing and Levenberg–Marquardt algorithm. IEEE Trans Intell Transp Syst 13(2):644–654

    Article  Google Scholar 

  • Chan K-Y, Dillon T-S, Chang E (2013) An intelligent particle swarm optimization for short-term traffic flow forecasting using on-road sensor systems. IEEE Trans Ind Electron 60:4714–4725

    Article  Google Scholar 

  • Chen D (2017) Research on traffic flow prediction in the big data environment based on the improved RBF neural network. IEEE Trans Ind Inform 13(4):2000–2008

    Article  Google Scholar 

  • Cong Y-L, Wang J-W, Li X-L (2016) Traffic flow forecasting by a least squares support vector machine with a fruit fly optimization algorithm. Procedia Eng 137:59–68

    Article  Google Scholar 

  • Ghosh B, Basu B, O’Mahony M (2009) Multivariate short-term traffic flow forecasting using time-series analysis. IEEE Trans Intell Transp Syst 10(2):246–254

    Article  Google Scholar 

  • Gilbert RO (1987) In: Statistical methods for environmental pollution monitoring. John Wiley Sons, New York, pp 28–56

  • He P, Deng Z-L, Gao C-Z, Wang X-N, Li J (2017) Model approach to grammatical evolution: deep-structured analyzing of model and representation. Soft Comput 21:5413–5423

    Article  Google Scholar 

  • http://www.dumn.edu/tdrl/traffic/

  • Hu W, Yan L, Liu K (2016) A short-term traffic flow forecasting method based on the hybrid PSO-SVR. Neural Process Lett 43(1):155–172

    Article  Google Scholar 

  • Jararweh Y, Al-Ayyoub, Fakirah M, MAlawneh L, Gupta B-B (2017) Improving the performance of the Needleman-wunsch algorithm using parallelization and vectorization techniques. Multimed Tools Appl 3:1–17

    Google Scholar 

  • Kaltwang S, Todorovic S, Pantic M (2016) Doubly sparse relevance vector machine for continuous facial behavior estimation. IEEE Trans Pattern Anal Mach Intell 38:1748C1761

    Article  Google Scholar 

  • Kamarianakis Y, Prastacos P (2005) SpaceCtime modeling of traffic flow. Comput Geosci 31:119–133

    Article  Google Scholar 

  • Kendall M (1955) In: Rank correlation methods. Griffin, London, pp 180–197

  • Khader A, McKee M (2014) Use of a relevance vector machine for groundwater quality monitoring network design under uncertainty. Environ Model Softw 57:115C126

    Article  Google Scholar 

  • Kong Y, Fu Y (2016) Max-margin action prediction machine. IEEE Trans Pattern Anal Mach Intell 38:1844C1858

    Article  Google Scholar 

  • Lin W-W, Xu S-Y, He L-G, Li J (2017) Multi-resource scheduling and power simulation for cloud computing. Inf Sci 397:168–186

    Article  Google Scholar 

  • Lippi M, Bertini M, Frasconi P (2013) Short term traffic flow forecasting: an experimental comparison of time-series analysis and supervised learning. IEEE Trans Intell Transp Syst 14(2):871–882

    Article  Google Scholar 

  • Lou J-G, Jiang Y-L, Shen Q, Shen Z-G (2016) Software reliability prediction via relevance vector regression. Neurocomputing 186:66–73

    Article  Google Scholar 

  • Lou J-G, Jiang Y-L, Shen Q, Wang R-Q (2018) Failure prediction by relevance vector regression with improved quantum-inspired gravitational search. J Netw Comput Appl 103:171–177

    Article  Google Scholar 

  • Lu J-Q, Ding C-D, Lou J-G, Cao J-D (2015) Outer synchronization of partially coupled dynamical networks via pinning impulsive controllers. J Frankl Inst 352(11):5024–5041

    Article  MathSciNet  Google Scholar 

  • Milan G, Slavisa T (2013) Analysis of precipitation and drought data in Serbia over the period 1980–2010. J Hydrol 494:32–42

    Article  Google Scholar 

  • Milly P, Dunne K, Vecchia A (2005) Global pattern of trends in stream flow and water availability in a changing climate. Nature 438:347C350

    Article  Google Scholar 

  • Oh S, Kim Y, Hong J (2015) Urban traffic flow prediction system using a multifactor pattern recognition model. IEEE Trans Intell Transp Syst 16(5):2744–2755

    Article  Google Scholar 

  • Polson N, Sokolov V (2017) Deep learning for traffic flow prediction. Transp Res Part C Emerg Technol 79:1–17

    Article  Google Scholar 

  • Sen P (1968) Estimates of the regression coefficient based on Kendalls tau. J Am Stat Assoc 63:1379C1389

    Article  MathSciNet  Google Scholar 

  • Stathopoulos A, Karlaftis M (2003) A multivariate state space approach for urban traffic flow modeling and prediction. Transp Res Part C Emerg Technol 11:121–135

    Article  Google Scholar 

  • Thomas T, Weijermars W, Van B (2010) Predictions of urban volumes in single time series. IEEE Trans Intell Transp Syst 11(1):71–80

    Article  Google Scholar 

  • Tipping M (2001) Sparse Bayesian learning and the relevance vector machine. J Mach Learn Res 1:211–244

    MathSciNet  MATH  Google Scholar 

  • Vlahogianni E-I, Karlaftis M-G, Golias J-C (2005) Optimized and meta-optimized neural networks for short-term traffic flow prediction: a genetic approach. Transp Res Part C 13:211–234

    Article  Google Scholar 

  • Wang H, Wang W-J, Cui Z-H, Zhou X-Y, Zhao J, Li Y (2018) A new dynamic firefly algorithm for demand estimation of water resources. Inf Sci 438:95–106

    Article  MathSciNet  Google Scholar 

  • Williams B (2001) Multivariate vehicular traffic flow prediction: evaluation of arimax modeling. Transp Res Rec J Transp Res Board 1776:194–200

    Article  Google Scholar 

  • Yin H, Wong S-C, Xu J, Wong C-K (2002) Urban traffic flow prediction using a fuzzy-neural approach. Transp Res Part C 10:85–98

    Article  Google Scholar 

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Acknowledgements

We would thank the Transportation Data Research Laboratory (TDRL) at the University of Minnesota Duluth for their released traffic flow data. This research is based upon work supported in part by Natural Science Foundation of China (61772199, 61802123, 61772198, 61771193).

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Correspondence to Jungang Lou.

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Communicated by B. B. Gupta.

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Lou, J., Shen, Z., Shen, Q. et al. Improving traffic flow forecasting with relevance vector machine and a randomized controlled statistical testing. Soft Comput 24, 5485–5497 (2020). https://doi.org/10.1007/s00500-018-03693-7

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