Geodesic
Evolutional computations, neuronet, genetic algorithms – formal statements
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 3, pp. 119-133 
L. N. Korolev. Evolutional computations, neuronet, genetic algorithms – formal statements. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 3, pp. 119-133. http://geodesic.mathdoc.fr/item/FPM_2009_15_3_a8/
@article{FPM_2009_15_3_a8,
     author = {L. N. Korolev},
     title = {Evolutional computations, neuronet, genetic algorithms~{\textendash} formal statements},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {119--133},
     year = {2009},
     volume = {15},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_3_a8/}
}
TY  - JOUR
AU  - L. N. Korolev
TI  - Evolutional computations, neuronet, genetic algorithms – formal statements
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2009
SP  - 119
EP  - 133
VL  - 15
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/FPM_2009_15_3_a8/
LA  - ru
ID  - FPM_2009_15_3_a8
ER  - 
%0 Journal Article
%A L. N. Korolev
%T Evolutional computations, neuronet, genetic algorithms – formal statements
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2009
%P 119-133
%V 15
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2009_15_3_a8/
%G ru
%F FPM_2009_15_3_a8

Voir la notice de l'article provenant de la source Math-Net.Ru

We try to formalize the definition of some problems which deal with application of evolutional and neuronet algorithms. One of our goals is to discuss the correctness of solutions obtained with application of evolutional methods.

[1] Zhuravlëv Yu. I., “Ob algoritmakh raspoznavaniya s predstavitelnymi naborami (o logicheskikh algoritmakh)”, ZhVM i MF, 42:9 (2002), 1425–1435 | MR | Zbl

[2] Minskii M., Peipert S., Perseptrony, Nauka, M., 1971

[3] Osovskii S., Neironnye seti dlya obrabotki informatsii, Finansy i statistika, M., 2002

[4] Rozenblatt F., Printsipy neirodinamiki, Nauka, M., 1965

[5] Rudakov K. V., Chekhovich Yu. V., “O probleme sinteza obuchayuschikh algoritmov vydeleniya trendov (algebraicheskii podkhod)”, Prikladnaya matematika i informatika, 8, Izd. otdel f-ta VMiK MGU, M., 2001, 97–113

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

[7] Chekhovich Yu. V., “Primenenie algebraicheskogo podkhoda k zadacham vydeleniya trendov”, Matematicheskie metody raspoznavaniya obrazov (MMRO-10), Dokl. 10-i Vserossiiskoi konf. VTs RAN, ALEV-V, M., 2001, 315–316

[8] Forrest S., “Genetic algorithm: Principles of natural selection applied to computation”, Sciense, 261 (1993), 872–878 | DOI

[9] Holland J., Adaptation in Natural and Artificial Systems, MIT Press, Cambridge, 1992 | MR

[10] Koza J., Genetic Programming: On the Programming of Computers by Means of Natural Selection, MIT Press, Cambridge, 1992 | Zbl

[11] Koza J., Genetic Programming. II: Automatic Discovery of Reusable Programs, MIT Press, Cambridge, 1994 | Zbl

[12] Filho J. R., Alippi C., Treleaven P., “Genetic algorithms programming environments”, Computer, 27:6 (1994), 28–43 | DOI

[13] Srinivas M., Patnaik L., “Genetic algorithms, a survey”, Computer, 27:6 (1994), 17–26 | DOI