Skip to main content

Multi-step Prediction of Volterra Neural Network for Traffic Flow Based on Chaos Algorithm

  • Conference paper
Information Computing and Applications (ICICA 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 307))

Included in the following conference series:

Abstract

For the multi-step prediction object of traffic flow chaotic time series, a fast learning algorithms of VNNTF based on chaotic mechanism was proposed. First, combination of chaotic phase space reconstruction properties to traffic flow chaotic time series, method of the truncation order and the truncation items is given, and the VNNTF neural networks model was build by this. Second, based on chaotic learning algorithm, and designed neural network traffic Volterra learning algorithm for fast learning algorithm. Last, a multi-step prediction of traffic flow chaotic time series is researched by VNNTF network model, Volterra prediction filter and the BP neural network based on chaotic algorithm. The results showed that the VNNTF network model predictive performance is better than the Volterra prediction filter and the BP neural network by the simulation results and root-mean-square value.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Asyali, M., Alc, M.: Obtaining Volterra Kernels from Neural Networks. World Congress on Medical Physics and Biomedical Engineering 2, 11–15 (2006)

    Google Scholar 

  2. Ghasemi, M., Tavassoli Kajani, M., Babolian, E.: Numerical solutions of the nonlinear Volterra–Fredholm integral equations by using homotopy perturbation method. Applied Mathematics and Computation 188(1), 446–449 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  3. Liu, B., Zhang, Y., Chen, L.: Dynamic complexities in a lotka–volterra predator–prey model concerning impulsive control strategy. International Journal of Biomathematics 1(1), 179–1964 (2008)

    Article  MathSciNet  Google Scholar 

  4. Yakubov, A.Y.: On nonlinear Volterra equations of convolution type. Differential Equations 45(9), 1326–1336 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  5. Kobayakawa, S., Yokoi, H.: Evaluation of Prediction Capability of Non-recursion Type 2nd-order Volterra Neuron Network for Electrocardiogram. In: Köppen, M., Kasabov, N., Coghill, G. (eds.) ICONIP 2008, Part II. LNCS, vol. 5507, pp. 679–686. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  6. Kang, L., Wang, C., Jiang, T.: Hydrologic model of Volterra neural network and its application. Journal of Hydroelectric Engineering 25(5), 22–26 (2006)

    Google Scholar 

  7. Yuan, H., Chen, G.: Fault Diagnosis in Nonlinear Circuit Based on Volterra Series and Recurrent Neural Network. In: King, I., Wang, J., Chan, L.-W., Wang, D. (eds.) ICONIP 2006. LNCS, vol. 4234, pp. 518–525. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Si, W., Duan, Z.-M., Wang, H.-T.: Novel Method Based on Projection of Vectors in Linear Space to Identify Volterra Kernels of Arbitrary Orders. Application Research of Computers 25(11), 3340–3342 (2008)

    Google Scholar 

  9. Yakubov, A.Y.: On nonlinear Volterra equations of convolution type. Differential Equations 45(9), 1326–1336 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  10. Murakami, S., Huu, P., Ngoc, A.: On stability and robust stability of positive linear Volterra equations in Banach lattices. Central European Journal of Mathematics 8(5), 966–984 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  11. Bibik, Y.V.: The second Hamiltonian structure for a special case of the Lotka-Volterra equations. Computational Mathematics and Mathematical Physics 47(8), 1285–1294 (2007)

    Article  MathSciNet  Google Scholar 

  12. Yin, L.-S., Huang, X.-Y., Yang, Z.-Y., Xiang, C.-C.: Prediction for Chaotic Time Series Based on Discrete Volterra Neural Networks. In: Wang, J., Yi, Z., Żurada, J.M., Lu, B.-L., Yin, H. (eds.) ISNN 2006. LNCS, vol. 3972, pp. 759–764. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yin, L., He, Y., Dong, X., Lu, Z. (2012). Multi-step Prediction of Volterra Neural Network for Traffic Flow Based on Chaos Algorithm. In: Liu, C., Wang, L., Yang, A. (eds) Information Computing and Applications. ICICA 2012. Communications in Computer and Information Science, vol 307. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34038-3_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34038-3_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34037-6

  • Online ISBN: 978-3-642-34038-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics