Skip to main content

Modeling of Dynamics Using Process State Projection on the Self Organizing Map

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4668))

Abstract

In this paper, an approach to model the dynamics of multivariable processes based on the motion analysis of the process state trajectory is presented. The trajectory followed by the projection of the process state onto the 2D neural lattice of a Self-Organizing Map (SOM) is used as the starting point of the analysis. In a first approach, a coarse grain cluster-level model is proposed to identify the possible transitions among process operating conditions (clusters). Alternatively, in a finer grain neuron-level approach, a SOM neural network whose inputs are 6-dimensional vectors which encode the trajectory (T-SOM), is defined in a top level, where the KR-SOM, a generalization of the SOM algorithm to the continuous case, is used in the bottom level for continuous trajectory generation in order to avoid the problems caused in trajectory analysis by the discrete nature of SOM. Experimental results on the application of the proposed modeling method to supervise a real industrial plant are included.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Keim, D.A.: Information visualization and visual data mining. IEEE Trans. Vis. Comput. Graph. 8(1), 1–8 (2002)

    Article  Google Scholar 

  2. de Oliveira, M.C.F., Levkowitz, H.: From visual data exploration to visual data mining: A survey. IEEE Transactions on Visualization and Computer Graphics 9(3), 378–394 (2003)

    Article  Google Scholar 

  3. Kohonen, T., Oja, E., Simula, O., Visa, A., Kangas, J.: Engineering applications of the self-organizing map. Proceedings of the IEEE 84(10), 1358–1384 (1996)

    Article  Google Scholar 

  4. Ultsch, A., Siemon, H.P.: Kohonen’s Self Organizing Feature Maps for Exploratory Data Analysis. In: INNC Paris 90, pp. 305–308. Universitat Dortmund (1990)

    Google Scholar 

  5. Tryba, V., Metzen, S., Goser, K.: Designing basic integrated circuits by self-organizing feature maps. In: Neuro-Nîmes ’89. Int. Workshop on Neural Networks and their Applications, Nanterre, France, ARC; SEE, EC2, pp. 225–235 (1989)

    Google Scholar 

  6. Vesanto, J.: SOM-based data visualization methods. Intelligent Data Analysis 3(2), 111–126 (1999)

    Article  MATH  Google Scholar 

  7. Kasslin, M., Kangas, J., Simula, O.: Process state monitoring using self-organizing maps. In: Aleksander, I., Taylor, J. (eds.) Artificial Neural Networks, 2, vol. II, pp. 1531–1534. North-Holland, Amsterdam, Netherlands (1992)

    Google Scholar 

  8. Domínguez, M., Reguera, P., Fuertes, J.J., Díaz, I., Cuadrado, A.A.: Internet-based remote supervision of industrial processes using Self-organizing maps. Engineering Applications of Artificial Intelligence (articl. in press)

    Google Scholar 

  9. Vesanto, J., Alhoniemi, E.: Clustering of the self-organizing map. IEEE Transactions on Neural Networks 11(3), 586–600 (2000)

    Article  Google Scholar 

  10. Flexer, A.: On the use of self-organizing maps for clustering and visualization. Intelligent-Data-Analysis 5, 373–384 (2001)

    MATH  Google Scholar 

  11. Murata, T.: Petri nets: properties, analysis, and applications. Proceedings of the IEEE 77(4), 541–580 (1989)

    Article  Google Scholar 

  12. Rabiner, L.: A tutorial on hidden markov models and selected applications in speech recognition. Proceedings of the IEEE 77, 257–286 (1989)

    Article  Google Scholar 

  13. Johnson, N., Hogg, D.: Learning the distribution of object trajectories for event recognition. Image Vision Comput. 14(8), 609–615 (1996)

    Article  Google Scholar 

  14. Owens, J., Hunter, A.: Application of the self-organising map to trajectory classification. In: Proceedings Third IEEE International Workshop on Visual Surveillance, pp. 77–83. IEEE Computer Society Press, Los Alamitos, CA, USA (2000)

    Chapter  Google Scholar 

  15. Hu, W., Xie, D., Tan, T.: A hierarchical self-organizing approach for learning the patterns of motion trajectories. IEEE-NN 15, 135–144 (2004)

    Google Scholar 

  16. Díaz Blanco, I., Díez González, A.B., Cuadrado Vega, A.A.: Complex process visualization through continuous feature maps using radial basis functions. In: Dorffner, G., Bischof, H., Hornik, K. (eds.) ICANN 2001. LNCS, vol. 2130, pp. 443–449. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  17. Walter, J., Nölker, C., Ritter, H.: The psom algorithm and applications. In: Proc. Symposion Neural Computation 2000, Berlin, pp. 758–764 (2000)

    Google Scholar 

  18. Specht, D.F.: A general regression neural network. IEEE Transactions on Neural Networks 2(6), 568–576 (1991)

    Article  Google Scholar 

  19. Domínguez, M., Fuertes, J.J., Reguera, P., González, J.J., Ramón, J.M.: Maqueta industrial para docencia e investigación [Industrial scale model for training and research]. Revista Iberoamericana de Automática e Informática Industrial 1(2), 58–63 (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Joaquim Marques de Sá Luís A. Alexandre Włodzisław Duch Danilo Mandic

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Fuertes-Martínez, J.J., Prada, M.A., Domínguez-González, M., Reguera-Acevedo, P., Díaz-Blanco, I., Cuadrado-Vega, A.A. (2007). Modeling of Dynamics Using Process State Projection on the Self Organizing Map. In: de Sá, J.M., Alexandre, L.A., Duch, W., Mandic, D. (eds) Artificial Neural Networks – ICANN 2007. ICANN 2007. Lecture Notes in Computer Science, vol 4668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74690-4_60

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74690-4_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74689-8

  • Online ISBN: 978-3-540-74690-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics