Geodesic
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},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a17/}
}
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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/