Tomography in Fractal Neural Nets (original) (raw)

Abstract

Tomographic procedures use multiple straight rays, running through or originating from any point P of a structure to many detector elements at the periphery. The measured specific values, are used to reconstruct the structure virtually by tracing the according rays back. In Fractal Neural Nets, whose connectivistic architecture is reflecting fractal functions, especially the squaring of complex numbers, we get the connections ordered in form of binary trees. Activation of any neuron will successively cause a wave of activities spreading over the net, approaching to the periphery. There, neurons may work as detector elements, recording the arriving sequence of activity in form of memory-strings. These memory-strings could be used any time later to activate the net in reversed direction to reconstruct the original pattern by a process, related to tomography, just not being based on straight continous rays, but on saltatory retracable sequences of neural activations.

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References

  1. Fink M (1996)Time Reversal in Acoustics, Contemporary Physics 37, 2: 95–109
    Article Google Scholar
  2. Kromer T, “Biomorph Neural Networks Based on Fractal Algorithms”,Computational Intelligence, proceedings/6th Fuzzy Days, Dortmund, Germany, May 25–27,1999. B. Reusch (ed.). Springer 1999, (lecture notes in computer science; Vol. 1625, pp 603–614)
    Google Scholar
  3. Kromer T, “Quechua Quipus, Fraktale Netze und Assoziatives Gedächtnis”, german abstract, 26. Jahrestagung der Arbeitsgemeinschaft für Aphasieforschung und-behandlung, Konstanz,11/1999
    Google Scholar
  4. Kromer T, New Neural Nets, for publication accepted, proceedings/ 7th Fuzzy Days, Dortmund, Germany, October, 2001. B. Reusch (ed.). Springer 2001, (lecture notes in computer science; same volume )
    Google Scholar
  5. Skarbek W, Fractal Basis Functions for Pattern Recognition, Springer 1997, lecture notes of computer science, 176–189
    Google Scholar
  6. Pieper H (1985) Die komplexen Zahlen. Deutsch, Frankfurt a. Main
    Google Scholar

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Authors and Affiliations

  1. Zentrum für Psychiatrie, Münsterklinik Zwiefalten, 88521, Zwiefalten, Germany
    Thomas Kromer

Editor information

Editors and Affiliations

  1. Computer Science I, University of Dortmund, 44221, Dortmund, Germany
    Bernd Reusch

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© 2001 Springer-Verlag Berlin Heidelberg

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Kromer, T. (2001). Tomography in Fractal Neural Nets. In: Reusch, B. (eds) Computational Intelligence. Theory and Applications. Fuzzy Days 2001. Lecture Notes in Computer Science, vol 2206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45493-4\_91

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