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Method of averaging operators in iteration algorithms for stochastic optimization

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Literature Cited

  1. Yu. M. Ermol'ev, “On the method of generalized stochastic gradients and stochastic quasi-Feier sequences,” Kibernetika, No. 2 (1969).

  2. Yu. M. Ermol'ev, “On one general problem of stochastic programming,” Kibernetika, No. 3 (1971).

  3. Ya. Z. Tsypkin, Principles of the Theory of Adaptive Systems [in Russian], Nauka, Moscow (1970).

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  4. G. E. Shilov, Mathematical Analysis (Second Special Course) [in Russian], Nauka, Moscow (1965).

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  5. V. Ya. Katkovnik, “Homogeneous integral averaging operators obtained by the method of least squares,” Avtomat. i Telemekhan., No. 11 (1971).

  6. V. Ya. Katkovnik, “Approximation of functions of many variables,” Avtomat. i Telemekhan., No. 2 (1971).

  7. V. Ya. Katkovnik and M. B. Ulitskii, “Orthonormal lattice polynomials in the approximation of functions of many variables using discrete data,” Materials of the Leningrad Polytechnic Institute, Mechanics and Control Processes, Computational Mathematics [in Russian], No. 318, Mashgiz, Leningrad (1971).

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  8. N. P. Buslenko et al., Statistical Trial Method [in Russian], Fizmatgiz, Moscow (1962).

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  9. G. E. Antonov and V. Ya. Katkovnik, “Synthesis of one class of random search algorithms,” Avtomat. i Telemekhan., No. 6 (1971).

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Authors
  1. V. Ya. Katkovnik
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Additional information

Translated from Kibernetika, No. 4, pp. 123–131, July–August, 1972.

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Katkovnik, V.Y. Method of averaging operators in iteration algorithms for stochastic optimization. Cybern Syst Anal 8, 670–679 (1972). https://doi.org/10.1007/BF01068291

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  • DOI: https://doi.org/10.1007/BF01068291

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