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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 200–208 (Mi zvmmf62)  
This article is cited in 3 scientific papers (total in 3 papers)

Algebra over estimation algorithms: Normalization with respect to the interval

A. G. D'yakonov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (1088 kB) Citations (3)
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Abstract: Algebra over estimation algorithms with addition, multiplication by a constant, and normalization operations is investigated. Normalization is interpreted as a linear (with respect to each row) transformation of the matrix of estimates that takes the maximum entry of the row to unity and the minimum entry to zero. The algebraic closure is described, a formula for its dimension is obtained, and correctness criteria are formulated.
Key words: pattern recognition, estimation algorithm, matrices of estimates, correct algorithm, normalization, algebra over algorithms.
Received: 19.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 1, Pages 194–202
DOI: https://doi.org/10.1134/S096554250901014X
Bibliographic databases:
UDC: 519.71
Language: Russian
Citation: A. G. D'yakonov, “Algebra over estimation algorithms: Normalization with respect to the interval”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 200–208; Comput. Math. Math. Phys., 49:1 (2009), 194–202
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :136
    References:43
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