Geodesic
Isomorphism of pairs of admissible objects in pattern recognition problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 178-183

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

The concept of permissible object pair isomorphism for recognition problems is considered. It is known, that the pairwise non-isomorphism condition of permissible objects in a current sampling $\tilde S^q$ is necessary to prove the correctness of algebraic closure of computational algorithms of estimates. The probability that, at least, one pair of isomorphic objects with respect to the initial information $I_0$ will be found in $\tilde S^q$, is examined. The upper estimates for such a probability are obtained if $\rho_i(x,y)=|x-y|$ are considered as metrics $\rho_i$ in feature space. 
@article{ZVMMF_1983_23_1_a19,
     author = {V. L. Matrosov},
     title = {Isomorphism of pairs of admissible objects in pattern recognition problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {178--183},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a19/}
}
TY  - JOUR
AU  - V. L. Matrosov
TI  - Isomorphism of pairs of admissible objects in pattern recognition problems
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1983
SP  - 178
EP  - 183
VL  - 23
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a19/
LA  - ru
ID  - ZVMMF_1983_23_1_a19
ER  - 
%0 Journal Article
%A V. L. Matrosov
%T Isomorphism of pairs of admissible objects in pattern recognition problems
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 178-183
%V 23
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a19/
%G ru
%F ZVMMF_1983_23_1_a19
V. L. Matrosov. Isomorphism of pairs of admissible objects in pattern recognition problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 178-183. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a19/