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A method for constructing an optimal estimate calculation algorithm

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Abstract

The problem of searching for an optimal procedure for constructing the best (in a certain sense) algorithm in the family of estimate calculation algorithms is considered. Such a procedure is designed, and upper bounds for its complexity are derived. The case of a two-dimensional feature space is analyzed in detail.

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References

  1. Yu. I. Zhuravlev, “Correct Algebras over Sets of Inaccurate (Heuristic) Algorithms: I,” Kibernetika, No. 4, 14–21 (1977).

  2. Yu. I. Zhuravlev, “Correct Algebras over Sets of Inaccurate (Heuristic) Algorithms: II,” Kibernetika, No. 6, 21–27 (1977).

  3. Yu. I. Zhuravlev and I. V. Isaev, “Construction of Recognition Algorithms Correct for a Given Control Sample,” Zh. Vychisl. Mat. Mat. Fiz. 19, 726–738 (1979).

    MathSciNet  Google Scholar 

  4. A. A. Dokukin, “Inductive Method for Designing an Accurate Algorithm in Algebras over an Estimate Calculation Model for Recognition Problems,” Zh. Vychisl. Mat. Mat. Fiz. 43, 1273–1277 (2003) [Comput. Math. Math. Phys. 43, 1222–1226 (2003)].

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  5. A. A. Dokukin, “One Approach for the Optimization of Estimates Calculating Algorithms,” Int. J. Inform. Theor. Appl. 10, 465–467 (2003).

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  6. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968; Nauka, Moscow, 1984).

    Google Scholar 

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Original Russian Text © A.A. Dokukin, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 4, pp. 755–762.

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Dokukin, A.A. A method for constructing an optimal estimate calculation algorithm. Comput. Math. and Math. Phys. 46, 719–725 (2006). https://doi.org/10.1134/S0965542506040154

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  • DOI: https://doi.org/10.1134/S0965542506040154

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