L. A. Sholomov, “Elements of underdetermined information theory”, Prikl. Diskr. Mat., 2009, supplement № 2, 18

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Prikladnaya Diskretnaya Matematika, 2009, supplement № 2, Pages 18–42 (Mi pdm144)

This article is cited in 12 scientific papers (total in 12 papers)

Theoretical Foundations of Applied Discrete Mathematics

Elements of underdetermined information theory

L. A. Sholomov

Institute of Systems Analysis, Russian Academy of Sciences, Moscow, Russia

Full-text PDF (602 kB) Citations (12)

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Abstract: We present some results concerning information properties of underdetermined data, introduce and learn their information characteristics, extend and modify for them some results of information theory, consider certain properties which are specific for underdetermined data only.

Document Type: Article

UDC: 519.728

Language: Russian

Citation: L. A. Sholomov, “Elements of underdetermined information theory”, Prikl. Diskr. Mat., 2009, supplement № 2, 18–42

Citation in format AMSBIB

\Bibitem{Sho09}

\by L.~A.~Sholomov

\paper Elements of underdetermined information theory

\jour Prikl. Diskr. Mat.

\yr 2009

\pages 18--42

\issueinfo supplement № 2

\mathnet{http://mi.mathnet.ru/pdm144}

Linking options:

https://www.mathnet.ru/eng/pdm144

https://www.mathnet.ru/eng/pdm/y2009/i11/p18

This publication is cited in the following 12 articles:

L. A. Sholomov, “Teoreticheski effektivnoe asimptoticheski optimalnoe universalnoe kodirovanie chastichno opredelennykh istochnikov”, PDM, 2020, no. 47, 30–56
L. A. Sholomov, “Minimalnoe predstavitelnoe mnozhestvo dlya sistemy chastotnykh klassov nedoopredelennykh slov”, PDM. Prilozhenie, 2019, no. 12, 41–44
L. A. Sholomov, “Ob odnom invariante v zadache razlozheniya nedoopredelennykh dannykh”, PDM, 2018, no. 39, 13–32
Sholomov L.A., “on the Reducibility of Alphabets For Problems of Underdetermined Data Coding”, Dokl. Math., 91:1 (2015), 117–120
L. A. Sholomov, “O sravnenii nedoopredelennykh alfavitov”, PDM. Prilozhenie, 2014, no. 7, 34–36
L. A. Sholomov, “O ponyatii ravnosilnosti nedoopredelennykh alfavitov”, PDM, 2014, no. 3(25), 40–57
L. A. Sholomov, “Dvoichnye predstavleniya nedoopredelennykh dannykh i diz'yunktivnye kody”, PDM, 2013, no. 1(19), 17–33
Sholomov L.A., “Binary Representation of Underdetermined Data”, Dokl. Math., 87:1 (2013), 116–119
L. A. Sholomov, “Ekonomnoe predstavlenie nedoopredelennykh dannykh i diz'yunktivnye kody”, PDM. Prilozhenie, 2013, no. 6, 27–29
L. A. Sholomov, “Dekompozitsiya i approksimatsiya nedoopredelennykh dannykh”, PDM. Prilozhenie, 2012, no. 5, 34–36
L. A. Sholomov, “Decomposition of underdetermined data”, J. Appl. Industr. Math., 7:1 (2013), 100–116
N. G. Parvatov, “Ob invariantakh nekotorykh klassov kvazimonotonnykh funktsii na polureshetke”, PDM, 2009, no. 4(6), 21–27

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	77

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