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Abstract

This paper is concerned with the synthesis of networks of threshold elements to separate patterns into two classes. There exist many algorithms which determine the parameters of a classifier, when the two classes are linearly separable. But a large number of problems do not fulfill this requirement. In such cases it is necessary to generate nonlinear decision boundaries to separate the patterns.

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References

  1. Cadzow, J. A.: Synthesis of nonlinear decision boundaries by cascaded threshold gates. IEEE Trans, on Computers, Dec. 1968. Vol. C-17, 12, pp. 1165–1172.

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  2. Hopcroft, J. E.: Synthesis of threshold logic networks. T.R. 6764–1. Stanford, Cal.: Stanford Electronics Labs. 1964.

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  3. Holdermann, F., Kazmierczak, H., Zorn, W.: An algorithm for adapting threshold elements by a digital computer. Proceedings of the International Conference on Pattern Recognition, Grenoble, Sept. 11–13, 1968, pp. 149–159.

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  4. Holdermann, F., Kazmierczak, H., Zorn, W.: Separierung durch Kaskadenschaltung von Schwellwertelementen. Dissertation, Universität Karlsruhe 1969.

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© 1971 Springer-Verlag Berlin · Heidelberg

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Holdermann, F. (1971). Classification by Cascaded Threshold Elements. In: Grüsser, OJ., Klinke, R. (eds) Zeichenerkennung durch biologische und technische Systeme / Pattern Recognition in Biological and Technical Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65175-5_20

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  • DOI: https://doi.org/10.1007/978-3-642-65175-5_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65176-2

  • Online ISBN: 978-3-642-65175-5

  • eBook Packages: Springer Book Archive

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