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#REDIRECT [[k-medians clustering]]
{{DISPLAYTITLE|''k''-median problem}}

The '''''k''-median problem''' is the problem of finding ''k'' centers such that the clusters formed by them are the most compact.

Formally, given a set of data points ''x'', the ''k'' centers ''c''<sub>''i''</sub> are to be chosen so as to minimize the sum of the distances from each ''x'' to the nearest&nbsp;''c''<sub>''i''</sub>.

The problem constitutes a better measure for the [[k-means clustering|''k''-means clustering]] algorithm, and is widely used in applications such as [[facility location]]<ref>http://www.aladdin.cs.cmu.edu/reu/mini_probes/papers/facilitylocation.ppt</ref>.

==References==
{{reflist}}

{{statistics-stub}}

[[Category:Statistics]]

Latest revision as of 13:41, 4 October 2010