An approximation algorithm for one problem of cluster analysis
Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 2, pp. 29-40
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A 2-approximation algorithm is presented for a data analysis problem which was previously reduced to an NP-hard optimization problem. Particularly, the problem is to partition a set of Euclidean vectors into two subsets (clusters) under the criterion of minimum-sum-of-squares. Bibliogr. 7.
Keywords:
search for a vector subset, cluster analysis, NP-hardness, efficient approximate algorithm.
@article{DA_2011_18_2_a2,
author = {A. V. Dolgushev and A. V. Kel'manov},
title = {An approximation algorithm for one problem of cluster analysis},
journal = {Diskretnyj analiz i issledovanie operacij},
pages = {29--40},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DA_2011_18_2_a2/}
}
TY - JOUR AU - A. V. Dolgushev AU - A. V. Kel'manov TI - An approximation algorithm for one problem of cluster analysis JO - Diskretnyj analiz i issledovanie operacij PY - 2011 SP - 29 EP - 40 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DA_2011_18_2_a2/ LA - ru ID - DA_2011_18_2_a2 ER -
A. V. Dolgushev; A. V. Kel'manov. An approximation algorithm for one problem of cluster analysis. Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 2, pp. 29-40. http://geodesic.mathdoc.fr/item/DA_2011_18_2_a2/