Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1979, Volume 15, Issue 4, Pages 32–39 (Mi ppi1510)  

Information Theory and Coding Theory

Metric Functionals on a Unit $n$-Dimensional Cube

V. K. Leont'ev
Abstract: The article investigates one class of metric optimization problems whose formulation is related to coding theory, pattern recognition, and a number of other areas of applied mathematics. A number of results characterizing the behavior of the extrema of functionals of this type and the behavior of some gradient-descent-type optimization procedures are obtained.
Received: 28.11.1977
Revised: 02.02.1979
Bibliographic databases:
Document Type: Article
UDC: 621.391.1
Language: Russian
Citation: V. K. Leont'ev, “Metric Functionals on a Unit $n$-Dimensional Cube”, Probl. Peredachi Inf., 15:4 (1979), 32–39; Problems Inform. Transmission, 15:4 (1979), 269–275
Citation in format AMSBIB
\Bibitem{Leo79}
\by V.~K.~Leont'ev
\paper Metric Functionals on a~Unit $n$-Dimensional Cube
\jour Probl. Peredachi Inf.
\yr 1979
\vol 15
\issue 4
\pages 32--39
\mathnet{http://mi.mathnet.ru/ppi1510}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=581653}
\zmath{https://zbmath.org/?q=an:0424.49017}
\transl
\jour Problems Inform. Transmission
\yr 1979
\vol 15
\issue 4
\pages 269--275
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  • https://www.mathnet.ru/eng/ppi/v15/i4/p32
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    Проблемы передачи информации Problems of Information Transmission
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