Sum-Of-Squares Clustering on Networks
Yugoslav journal of operations research, Tome 21 (2011) no. 2, p. 157
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Finding p prototypes by minimizing the sum of the squared distances from a
set of points to its closest prototype is a well-studied problem in clustering, data analysis
and continuous location. In this note, this very same problem is addressed assuming, for
the first time, that the space of possible prototype locations is a network. We develop
some interesting properties of such clustering problem. We also show that optimal cluster
prototypes are not necessary located at vertices of the network.
Classification :
90C35, 90C30
Keywords: Networks, clustering, location, p-Median.
Keywords: Networks, clustering, location, p-Median.
@article{YJOR_2011_21_2_a0,
author = {Emilio Carrizosa and Nenad Mladenovi\'c and Raca Todosijevi\'c},
title = {Sum-Of-Squares {Clustering} on {Networks}},
journal = {Yugoslav journal of operations research},
pages = {157 },
year = {2011},
volume = {21},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2011_21_2_a0/}
}
Emilio Carrizosa; Nenad Mladenović; Raca Todosijević. Sum-Of-Squares Clustering on Networks. Yugoslav journal of operations research, Tome 21 (2011) no. 2, p. 157 . http://geodesic.mathdoc.fr/item/YJOR_2011_21_2_a0/