Stability of a correct algorithm in the polynomial closure of the family of binary classification algorithms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 354-356
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The problem of the recovery of a partially defined predicate on a metric compact of special form is considered. In a certain family of algorithms (for example, algorithms for computing estimates), an algorithm of the predicate evaluation is constructed, and its stability on the set of the recovery problems in a neighborhood of the given problem is proved. The lower bound for the stability radius of the algorithm constructed is computed.
@article{ZVMMF_2005_45_2_a17,
author = {E. A. Lutsenko},
title = {Stability of a correct algorithm in the polynomial closure of the family of binary classification algorithms},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {354--356},
year = {2005},
volume = {45},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a17/}
}
TY - JOUR AU - E. A. Lutsenko TI - Stability of a correct algorithm in the polynomial closure of the family of binary classification algorithms JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 354 EP - 356 VL - 45 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a17/ LA - ru ID - ZVMMF_2005_45_2_a17 ER -
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E. A. Lutsenko. Stability of a correct algorithm in the polynomial closure of the family of binary classification algorithms. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 354-356. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a17/
[1] Zhuravlev Yu. I., “Korrektnye algebry nad mnozhestvami nekorrektnykh (evristicheskikh) algoritmov. I; II”, Kibernetika, 1977, no. 4, 5–17; No 6, 21–27