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Topographic Map Formation Employing kMER with Units Deletion Rule

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3215))

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Abstract

A kernel-based topographic map formation, kMER, was proposed by Van Hulle, and some effective learning rules have been proposed so far with many applications. However, no guide is indicated concerning the determination of the number of units in kMER. This paper describes a units deletion rule, which enables to construct automatically an appropriate-sized map to acquire the global topographic features underlying the input data. The effectiveness of the present rule has been confirmed by some preliminary computer simulations.

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References

  1. Kohonen, T.: Self-organized Formation of Topologically Correct Feature Maps. Biol. Cybern. 43, 59–63 (1982)

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  2. Kohonen, T.: Self-organizing maps. Springer, Heidelberg (1995)

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  3. Van Hulle, M.M.: Faithful Representations and Topographic Maps: From Distortion- to Information-based Self-organization. John Wiley & Sons, Inc., Chichester (2000)

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  4. Van Hulle, M.M.: Kernel-based Equiprobabilistic Topographic Map Formation. Neural Computation 10, 1847–1871 (1998)

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Author information

Authors and Affiliations

  1. Yamaguchi University, Yamaguchi, 753-8512, Japan

    Eiji Uchino, Noriaki Suetake & Chuhei Ishigaki

Authors
  1. Eiji Uchino
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  2. Noriaki Suetake
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  3. Chuhei Ishigaki
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Editor information

Editors and Affiliations

  1. KES International, 2nd Floor, 145-157 St John Street, EC1V 4PY, London, United Kingdom

    Mircea Gh. Negoita

  2. Centre for SMART systems Engineering Research Centre, University of Brighton, BN2 4GJ, Moulsecoomb, Brighton, UK

    Robert J. Howlett

  3. School of Electrical and Information Engineering, Knowledge Based Intelligent Engineering Systems Centre, University of South Australia, Mawson Lakes, 5095, SA, Australia

    Lakhmi C. Jain

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© 2004 Springer-Verlag Berlin Heidelberg

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Uchino, E., Suetake, N., Ishigaki, C. (2004). Topographic Map Formation Employing kMER with Units Deletion Rule. In: Negoita, M.G., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2004. Lecture Notes in Computer Science(), vol 3215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30134-9_72

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  • DOI: https://doi.org/10.1007/978-3-540-30134-9_72

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23205-6

  • Online ISBN: 978-3-540-30134-9

  • eBook Packages: Springer Book Archive

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