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Diskretn. Anal. Issled. Oper., 2012, Volume 19, Number 5, Pages 35–46 (Mi da703)  

On an upper bound for the cardinality of a minimal teaching set of a threshold function

N. Yu. Zolotykh, A. Yu. Chirkov

Nizhniy Novgorod State University, Nizhniy Novgorod, Russia

Abstract: A new necessary and sufficient condition for belonging a point to a minimal teaching set of a threshold function of $k$-valued logic is proposed. This allows to extract a large subclass of threshold functions for which the cardinality of the minimal teaching set is bounded from above by a polynomial in $\log_k$ of degree $n-2$ when the number $n$ of variables is fixed. Ill. 1, bibliogr. 17.

Keywords: threshold function, teaching set, separation property.

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Bibliographic databases:
UDC: 519.7
Received: 23.10.2011
Revised: 23.03.2012

Citation: N. Yu. Zolotykh, A. Yu. Chirkov, “On an upper bound for the cardinality of a minimal teaching set of a threshold function”, Diskretn. Anal. Issled. Oper., 19:5 (2012), 35–46

Citation in format AMSBIB
\Bibitem{ZolChi12}
\by N.~Yu.~Zolotykh, A.~Yu.~Chirkov
\paper On an upper bound for the cardinality of a~minimal teaching set of a~threshold function
\jour Diskretn. Anal. Issled. Oper.
\yr 2012
\vol 19
\issue 5
\pages 35--46
\mathnet{http://mi.mathnet.ru/da703}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3058507}


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