# Some methods for classification and analysis of multivariate observations

@inproceedings{MacQueen1967SomeMF, title={Some methods for classification and analysis of multivariate observations}, author={J. MacQueen}, year={1967} }

The main purpose of this paper is to describe a process for partitioning an N-dimensional population into k sets on the basis of a sample. The process, which is called 'k-means,' appears to give partitions which are reasonably efficient in the sense of within-class variance. That is, if p is the probability mass function for the population, S = {S1, S2, * *, Sk} is a partition of EN, and ui, i = 1, 2, * , k, is the conditional mean of p over the set Si, then W2(S) = ff=ISi f z u42 dp(z) tends…

## 23,597 Citations

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