Theory of equivalence systems for the description of algebraic closures in a generalized model for the computation of estimates
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 388-400 Cet article a éte moissonné depuis la source Math-Net.Ru

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The recognition problem is considered in which the initial information is given by the values of similarity functions on pairs of objects. A generalization of the estimation algorithm model for this problem is proposed. A theory for the description and analysis of algebraic closures of the generalized and classical models is developed.
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A. G. D'yakonov. Theory of equivalence systems for the description of algebraic closures in a generalized model for the computation of estimates. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 388-400. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a17/

[1] Zhuravlev Yu. I., Nikiforov V. V., “Algoritmy raspoznavaniya, osnovannye na vychislenii otsenok”, Kibernetika, 1971, no. 3, 1–11 | Zbl

[2] Zhuravlev Yu. I., Kamilov M. M., Tulyaganov Sh. E., Algoritmy vychisleniya otsenok i ikh primenenie, “FAN”, Tashkent, 1974 | MR | Zbl

[3] Zhuravlev Yu. I., “Korrektnye algoritmy nad mnozhestvami nekorrektnykh (evristicheskikh) algoritmov, I”, Kibernetika, 1977, no. 4, 5–17

[4] Zhuravlev Yu. I., “Korrektnye algoritmy nad mnozhestvami nekorrektnykh (evristicheskikh) algoritmov, II”, Kibernetika, 1977, no. 6, 21–27 | Zbl

[5] Matrosov V. L., “O kriteriyakh polnoty modeli algoritmov vychisleniya otsenok i ee algebraicheskikh zamykanii”, Dokl. AN SSSR, 258:4 (1981), 791–796 | MR

[6] Matrosov V. L., “Sintez optimalnykh algoritmov v algebraicheskikh zamykaniyakh modelei algoritmov raspoznavaniya”, Raspoznavanie, klassifikatsiya, prognoz. Matem. metody i ikh primenenie, 1, Nauka, M., 1989, 149–176 | MR

[7] Dyakonov A. G., “Algebra nad algoritmami vychisleniya otsenok: minimalnaya stepen korrektnogo algoritma”, Zh. vychisl. matem. i matem. fiz., 45:6 (2005), 1134–1145 | MR

[8] Dyakonov A. G., “Issledovanie algebraicheskikh zamykanii algoritmov raspoznavaniya: operatory razmetki”, Tavrich. vestnik informatiki i matem., 2008, no. 1, 199–203

[9] Dyakonov A. G., “Algebraicheskie zamykaniya obobschennoi modeli algoritmov vychisleniya otsenok”, Dokl. RAN, 423:4 (2008), 461–464 | MR

[10] Zhuravlev Yu. I., “Ob algebraicheskom podkhode k resheniyu zadach raspoznavaniya ili klassifikatsii”, Probl. kibernetiki, 33, Nauka, M., 1978, 5–68

[11] Tu Dzh., Gonsales R., Printsipy raspoznavaniya obrazov, Mir, M., 1978 | MR

[12] Dokukin A. A., Sintez polinomov nad ekstremalnymi algoritmami vychisleniya otsenok, Dis. ...kand. fiz.-matem. nauk, VTs RAN, M., 2008, 102 pp.

[13] Aizerman M. A., Braverman E. M., Rozonoer L. I., Metod potentsialnykh funktsii v teorii obucheniya mashin, Nauka, M., 1970

[14] Plokhonina T. V., “Voprosy korrektnosti algebraicheskikh zamykanii konechnoi stepeni semeistva algoritmov vychisleniya otsenok dlya regulyarnykh zadach”, Zh. vychisl. matem. i matem. fiz., 27:5 (1987), 763–770 | MR

[15] Rudakov K. V., “Ob algebraicheskoi teorii universalnykh i lokalnykh ogranichenii dlya zadach klassifikatsii”, Raspoznavanie, klassifikatsiya, prognoz. Matem. metody i ikh primenenie, 1, Nauka, M., 1989, 176–201 | MR

[16] Dokukin A. A., “O postroenii v algebraicheskom zamykanii odnogo algoritma raspoznavaniya”, Zh. vychisl. matem. i matem. fiz., 41:12 (2001), 1873–1877 | MR