Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6, pp. 1023-1032
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A. A. Dokukin. Formalization of a synthesis problem and methods for its solution. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6, pp. 1023-1032. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a13/
@article{ZVMMF_2014_54_6_a13,
author = {A. A. Dokukin},
title = {Formalization of a synthesis problem and methods for its solution},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1023--1032},
year = {2014},
volume = {54},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a13/}
}
TY - JOUR
AU - A. A. Dokukin
TI - Formalization of a synthesis problem and methods for its solution
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2014
SP - 1023
EP - 1032
VL - 54
IS - 6
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a13/
LA - ru
ID - ZVMMF_2014_54_6_a13
ER -
%0 Journal Article
%A A. A. Dokukin
%T Formalization of a synthesis problem and methods for its solution
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2014
%P 1023-1032
%V 54
%N 6
%U http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a13/
%G ru
%F ZVMMF_2014_54_6_a13
A formal formulation is proposed for the synthesis problem of finding objects with certain properties described only by a collection of precedents. A key feature of this formalization is that it is closely related to the pattern recognition theory. A general approach to solving the synthesis problem is described, and particular solution methods are presented in two important cases. For this purpose, a new recognition method is proposed that exhibits a high speed as applied to the data of the structure under study. The performance of the methods is demonstrated on actual data.
[1] Senko O. V., Nekrasov A. N., Ryazanov V. V., Dokukin A. A., “Prediction of structure forming properties of protein with help of pattern recognition methods”, Proc. of 8-th Open German-Russian Workshop “Pattern Recognition and Image Understanding”, OGRW-8-2011, 38–40
[2] Nekrasov A. N., “Analysis of the information structure of protein sequences: a new method for analyzing the domain organization of Proteins”, J. Biomolecular Structure and Dynamics, 21:5 (2004), 615–623 | DOI
[3] Ryazanov V. V., “Logicheskie zakonomernosti v zadachakh raspoznavaniya (parametricheskii podkhod)”, Zh. vychisl. matem. i matem. fiz., 47:10 (2007), 1793–1808 | MR
[4] Zhuravlëv Yu. I., “Korrektnye algebry nad mnozhestvom nekorrektnykh (evristicheskikh) algoritmov, I”, Kibernetika, 1977, no. 4, 14–21 | Zbl
[5] Fisher R. A., “On the Interpretation of X2 from Contingency tables, and the calculation of P”, J. the Royal Statistical Society, 85:1 (1922), 87–94 | DOI
