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Problemy Peredachi Informatsii, 2010, Volume 46, Issue 2, Pages 24–29 (Mi ppi2013)  
This article is cited in 4 scientific papers (total in 4 papers)

Information Theory

On computation of information via variation and inequalities for the entropy function

V. V. Prelov

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (152 kB) Citations (4)
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Abstract: This paper supplements the author's paper [1]. We obtain an explicit formula which in a special case allows us to calculate the maximum of mutual information of several random variables via the variational distance between the joint distribution of these random variables and the product of their marginal distributions. We establish two new inequalities for the binary entropy function, which are related to the problem considered here.
Received: 26.01.2010
English version:
Problems of Information Transmission, 2010, Volume 46, Issue 2, Pages 122–126
DOI: https://doi.org/10.1134/S003294601002002X
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.7
Language: Russian
Citation: V. V. Prelov, “On computation of information via variation and inequalities for the entropy function”, Probl. Peredachi Inf., 46:2 (2010), 24–29; Problems Inform. Transmission, 46:2 (2010), 122–126
Citation in format AMSBIB
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\paper On computation of information via variation and inequalities for the entropy function
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\pages 24--29
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\transl
\jour Problems Inform. Transmission
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\vol 46
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\pages 122--126
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Linking options:
  • https://www.mathnet.ru/eng/ppi2013
  • https://www.mathnet.ru/eng/ppi/v46/i2/p24
    • This publication is cited in the following 4 articles:
    1. Vl. V. Prelov, “New inequalities for entropy function”, Moscow University Mathematics Bulletin, 79:4 (2024), 198–200  mathnet  crossref  crossref  elib
    2. Sason I., “Entropy Bounds for Discrete Random Variables via Maximal Coupling”, IEEE Trans. Inf. Theory, 59:11 (2013), 7118–7131  crossref  mathscinet  isi  elib  scopus
    3. Ayuev V.V., “Dinamicheskaya nastroika i korrektsiya struktury neironnoi seti rbf pri obuchenii na nepolnykh vyborkakh dannykh”, Sistemy upravleniya i informatsionnye tekhnologii, 45:3 (2011), 51–55  elib
    4. Mark S. Pinsker, Vyacheslav V. Prelov, Edward C. van der Meulen, “Asymptotic Investigation of the Information Rates in Certain Stationary Channels with and without Memory”, American Journal of Mathematical and Management Sciences, 21:1-2 (2001), 29  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    Abstract page:366
    Full-text PDF :101
    References:71
    First page:7
     
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