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Stochastic optimization algorithms with slowly decreasing step

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Literature Cited

  1. B. T. Polyak, “Convergence and convergence rate of iterative stochastic algorithms. I. General case,” Avtomat. Telemekh., No. 12, 83–94 (1976).

    Google Scholar 

  2. Yu. M. Kaniovskii, P. S. Knopov, and Z. V. Nekrylova, Limit Theorems for Stochastic Programming Processes [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

  3. M. B. Nevel'son and R. Z. Khas'minskii, Stochastic Approximation and Recursive Estimation [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  4. A. P. Korostelev, “On multistep stochastic approximation procedures,” Avtomat. Telemekh., No. 5, 82–90 (1981).

    Google Scholar 

  5. A. M. Gupal and L. G. Bazhenov, “A stochastic counterpart of the conjugate gradient method,” Kibernetika, No. 1, 125–126 (1972).

    Google Scholar 

  6. B. T. Polyak, “Comparison of convergence rate of one-step and multistep optimization algorithms in the presence of noise,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 1, 9–12 (1977).

    Google Scholar 

  7. Yu. M. Ermol'ev, Stochastic Programming Methods [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  8. I. I. Gikhman and A. V. Skorokhod, Theory of Stochastic Processes [in Russian], Vol. 3, Nauka, Moscow (1975).

    Google Scholar 

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Translated from Kibernetika, No. 4, pp. 102–106, 131, July–August, 1984.

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Kaniovskii, Y.M. Stochastic optimization algorithms with slowly decreasing step. Cybern Syst Anal 20, 593–600 (1984). https://doi.org/10.1007/BF01068935

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  • DOI: https://doi.org/10.1007/BF01068935

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