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Diskretnyi Analiz i Issledovanie Operatsii, 2008, Volume 15, Issue 5, Pages 20–34 (Mi da547)  
This article is cited in 32 scientific papers (total in 32 papers)

On one variant of the vectors subset choice problem

A. V. Kel'manov, A. V. Pyatkin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (288 kB) Citations (32)
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Abstract: One variant of the problem of a posteriori (off-line) noise proof search for the unknown repeating vector in the case, when the noise is additive, can be reduced to the “similar” vectors subset choice problem. This problem is proved to be NP-complete. A polynomial approximation algorithm with guaranteed relative error bounds in the case of the fixed dimension of the space is suggested for this problem. Bibl. 13.
Keywords: numerical vector sequence, a posteriori processing, repeating vector, optimal noise proof detecting, complexity, NP-completeness, approximation algorithm.
Received: 01.04.2008
English version:
Journal of Applied and Industrial Mathematics, 2009, Volume 3, Issue 4, Pages 447–455
DOI: https://doi.org/10.1134/S1990478909040036
Bibliographic databases:
UDC: 519.2+621.391
Language: Russian
Citation: A. V. Kel'manov, A. V. Pyatkin, “On one variant of the vectors subset choice problem”, Diskretn. Anal. Issled. Oper., 15:5 (2008), 20–34; J. Appl. Industr. Math., 3:4 (2009), 447–455
Citation in format AMSBIB
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\by A.~V.~Kel'manov, A.~V.~Pyatkin
\paper On one variant of the vectors subset choice problem
\jour Diskretn. Anal. Issled. Oper.
\yr 2008
\vol 15
\issue 5
\pages 20--34
\mathnet{http://mi.mathnet.ru/da547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543152}
\zmath{https://zbmath.org/?q=an:1249.90343}
\transl
\jour J. Appl. Industr. Math.
\yr 2009
\vol 3
\issue 4
\pages 447--455
\crossref{https://doi.org/10.1134/S1990478909040036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77749309541}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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