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A New Interpolation Algorithm Employing a Self-Organizing Map

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Book cover Advances in Self-Organising Maps
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Abstract

In early learning stage of a self-organizing map (SOM), the weight vectors are arranged to interpolate among the input vectors. A new interpolation method employing the transient characteristics of the SOM is proposed in this paper. In order to realize a smooth interpolation, a modified updating equation based on compensation vector is used in the proposed method. Furthermore, we define the criterion of smoothness, and the reasonable number of learning iterations for the desired arrangement of the weight vectors can be decided. The performance of the proposed method is confirmed by the interpolation results in 2-dimensional and 3-dimensional spaces.

This work was achieved when the author was a Bachelor course student of Kyushu Institute of Technology

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References

  1. Y. Ohno and K. Isoda, Numerical Calculation Handbook, Ohm, 1990.

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  2. T. Kohonen, “Self-Organized of Topologicaly Correct Feature Maps,” Biol. Cybern., Vol.43, pp.59–69, 1982.

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  3. T. Kohonen, Self-organization and associative memory, Springer-Verlag, 1988.

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© 2001 Springer-Verlag London Limited

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Yamakawa, T., Horio, K., Oosako, Y., Miki, T. (2001). A New Interpolation Algorithm Employing a Self-Organizing Map. In: Advances in Self-Organising Maps. Springer, London. https://doi.org/10.1007/978-1-4471-0715-6_17

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  • DOI: https://doi.org/10.1007/978-1-4471-0715-6_17

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-511-3

  • Online ISBN: 978-1-4471-0715-6

  • eBook Packages: Springer Book Archive

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