Geodesic
Building correct estimation algorithms as a constrained optimization problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 529-535

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For estimation algorithms, the problem of building correct algorithms by modifying weights of features and weights of objects is examined. Criteria for the possibility to build a correct algorithm are obtained for certain cases. Conditions of the possibility to build a correct algorithm are obtained in terms of solving a constrained optimization problem. An optimization method is proposed. Under these conditions, the proposed method significantly reduces the computational complexity of synthesizing a correct algorithm. 
@article{ZVMMF_2008_48_3_a11,
     author = {A. Yu. Smetanin},
     title = {Building correct estimation algorithms as a~constrained optimization problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {529--535},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a11/}
}
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A. Yu. Smetanin. Building correct estimation algorithms as a constrained optimization problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 529-535. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a11/