Geodesic
Formalization of a synthesis problem and methods for its solution
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6, pp. 1023-1032
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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. 
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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/

[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

[6] Vorontsov K. V., Lektsii po logicheskim algoritmam klassifikatsii, , 2007 http://www.ccas.ru/voron/download/LogicAlgs.pdf