The $NP$-completeness of some problems of searching for vector subsets
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 121-129
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We prove the $NP$-completeness of discrete optimization problems, to which some important problems appearing in data analysis involving a search for a vector subset are reduced.
Keywords: extremal problem, complexity, $NP$-completeness, search for subsets, Euclidean space, data analysis.
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A. V. Kel'manov. The $NP$-completeness of some problems of searching for vector subsets. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 121-129. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a11/

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