Skip to main content
Log in

Additive Composition of Supervised Self-Organizing Maps

  • Published:
Neural Processing Letters Aims and scope Submit manuscript

Abstract

The learning of complex relationships can be decomposed into several neural networks. The modular organization is determined by prior knowledge of the problem that permits to split the processing into tasks of small dimensionality. The sub-tasks can be implemented with neural networks, although the learning examples cannot be used anymore to supervise directly each of the networks. This article addresses the problem of learning in a modular context, developing in particular additive compositions. A simple rule allows defining efficient training, and combining, for example, several Supervised-SOM networks. This technique is important because it introduces interesting generalizations in many modular compositions, permitting data fusion or sequential combinations of neural networks.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Caelli, T., Guan, L. and Wen, W.: Modularity in Neural Computing, Proceedings of the IEEE 87(9) (1999), 1497–1518.

    Article  Google Scholar 

  2. Hastie, T. J. and Tibshirani, R. J.: Generalized Additive Models, Chapman and Hall, London, 1990.

    MATH  Google Scholar 

  3. Kohonen, T.: Self-Organizing Maps, Springer-Verlag, Berlin, 1995.

    Google Scholar 

  4. Ritter, H. J., Martinetz, T. M. and Schulten, K. J.: Neural Computation and Self-Organizing Maps, Addison-Wesley, Reading, MA, 1992.

    MATH  Google Scholar 

  5. Principe, J. C., Wang, L. and Motter, M. A.: Local Dynamic Modeling with Self-Organizing Maps and Applications to Nonlinear System Identification and Control, Proceedings of the IEEE 86(11) (1998), 2240–2258.

    Article  Google Scholar 

  6. Widrow, B. and Walach, E.: Adaptive Inverse Control, PrenticeHall Press, Upper Saddle River, NJ, 1996.

    Google Scholar 

  7. Haykin, S.: Neural Networks: A Comprehensive Foundation, Macmillan College Publishing Company, Inc., New York, 1994.

    Google Scholar 

  8. Buessler, J.-L.: Modular Neural Network Architectures Applied to the Visual Servoing of Robotic Systems, PhD Thesis (in French), Univ. of Mulhouse, France, 1999.

    Google Scholar 

  9. Buessler, J.-L. and Urban, J.-P.: Visually guided movements: learning with modular neural maps in robotics, Neural Networks 11(7–8) (1998), 1395–1415.

    Article  Google Scholar 

  10. Miller, W. T., III, Glanz, F. H. and Kraft, L. G.: CMAC: An Associative Neural Network Alternative to Backpropagation, Proceedings of the IEEE 78(10) (1990), 1561–1567.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buessler, JL., Urban, JP. & Gresser, J. Additive Composition of Supervised Self-Organizing Maps. Neural Processing Letters 15, 9–20 (2002). https://doi.org/10.1023/A:1013892727067

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1013892727067

Navigation