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Neural Network Construction for Recognition Problems with Standard Information on the Basis of a Model of Algorithms with Piecewise Linear Surfaces and Parameters

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Abstract

For recognition problems with standard information, a neural network reproducing computations performed by a correct algorithm is constructed on the basis of the operator approach and a model of algorithms with parameters and piecewise linear surfaces.

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REFERENCES

  1. Yu. I. Zhuravlev, Dokl. Akad. Nauk SSSR 231 (3), 532–535 (1976).

    Google Scholar 

  2. Yu. I. Zhuravlev, Kibernetika, No. 4, 5–17 (1977).

    Google Scholar 

  3. Yu. I. Zhuravlev, Kibernetika, No. 2, 35–43 (1978).

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  5. A. E. Dyusembaev, Dokl. Math. 95 (2), 125–128 (2017).

    Article  MathSciNet  Google Scholar 

  6. A. E. Dyusembaev and M. V. Grishko, J. Pattern Recogn. Image Anal. 27 (2), 166–174 (2017).

    Article  Google Scholar 

  7. K. V. Rudakov, Dokl. Akad. Nauk SSSR 231 (6), 1296–1299 (1976).

    MathSciNet  Google Scholar 

  8. V. N. Vapnik, Statistical Learning Theory (Wiley, New York, 1998).

    MATH  Google Scholar 

  9. A. E. Dyusembaev and M. V. Grishko, Comput. Math. Math. Phys. 58 (10), 1673–1686 (2018).

    Article  MathSciNet  Google Scholar 

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Correspondence to Yu. I. Zhuravlev or A. E. Dyusembaev.

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Zhuravlev, Y.I., Dyusembaev, A.E. Neural Network Construction for Recognition Problems with Standard Information on the Basis of a Model of Algorithms with Piecewise Linear Surfaces and Parameters. Dokl. Math. 100, 411–415 (2019). https://doi.org/10.1134/S1064562419050041

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  • DOI: https://doi.org/10.1134/S1064562419050041

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