Geodesic
Restoration of the analytical task of the threshold $k$-valued function in the information protection node with incomplete data
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2023), pp. 63-71

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This article considers the problem of restoring the threshold function in the information protection node from a input and output in the case when not all values are known. To solve this problem, it is proposed to use a geometric algorithm for characterising a partially known threshold $k$-valued function. The article proves the convergence of the algorithm at the final step; it is also shown that as a result of the algorithm, a certain threshold function will be constructed, which will coincide with this function at all known points.
Keywords: Algorithm of learning of threshold functions; proof of convergence; threshold function; expansion coefficients; increase coefficients. 
@article{BGUMI_2023_3_a5,
     author = {A. V. Burdeliov},
     title = {Restoration of the analytical task of the threshold $k$-valued function in the information protection node with incomplete data},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {63--71},
     publisher = {mathdoc},
     volume = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/BGUMI_2023_3_a5/}
}
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A. V. Burdeliov. Restoration of the analytical task of the threshold $k$-valued function in the information protection node with incomplete data. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2023), pp. 63-71. http://geodesic.mathdoc.fr/item/BGUMI_2023_3_a5/