The analysis of a simple k-means clustering algorithm

K-means clustering is a very popular clustering technique which is used in numerous applications.Given a set of n data points in Rdand an integer k, the problem is to determine a setof k points Rd, called centers, so as to minimize the mean squared distance from each datapoint to its nearest center. A popular heuristic for k-means clustering is Lloyd's algorithm.In this paper we present a simple and efficient implementation of Lloyd's k-means clusteringalgorithm, which we call the...