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An approach to the solution of recognition problems using neural networks

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Abstract

Conditions are determined under which, for pattern recognition problems with standard information (Ω-regular problems), a correct algorithm and a six-level spatial neural network reproducing the calculations performed by the correct algorithm can be constructed. The proposed approach to constructing the neural network is not related to the traditional approach based on minimizing a functional.

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References

  1. S. Haykin, Neural Networks and Learning Machines, 3rd ed. (Prentice Hall, Englewood Cliffs, 2009).

    Google Scholar 

  2. A. Bauer, N. Gornitz, F. Biegler, K.-R. Muller, and M. Kloft, IEEE Trans. 25 (5), 870–881 (2014).

    Google Scholar 

  3. Yu. I. Zhuravlev, Kibernetika, No. 2, 37–45 (1978).

    Google Scholar 

  4. Yu. I. Zhuravlev, Selected Works (Magistr, Moscow, 1998) [in Russian].

    Google Scholar 

  5. A. E. Dyusembaev and D. Kaliazhdarov, Dokl. Math. 91 (2), 236–239 (2015).

    Article  MathSciNet  Google Scholar 

  6. A. E. Dyusembaev, USSR Comput. Math. Math. Phys. 22 (6), 217–226 (1982).

    Article  MathSciNet  Google Scholar 

  7. A. E. Dyusembaev, USSR Comput. Math. Math. Phys. 23 (6), 126–132 (1983).

    Article  MathSciNet  Google Scholar 

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Correspondence to A. E. Dyusembaev.

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Original Russian Text © A.E. Dyusembaev, 2017, published in Doklady Akademii Nauk, 2017, Vol. 473, No. 2, pp. 127–130.

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Dyusembaev, A.E. An approach to the solution of recognition problems using neural networks. Dokl. Math. 95, 125–128 (2017). https://doi.org/10.1134/S1064562417020053

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  • DOI: https://doi.org/10.1134/S1064562417020053

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