A Simple Linear Time (1+ ∊) -Approximation Algorithm for k-Means Clustering in Any Dimensions

Kumar, A. ; Sabharwal, Y. ; Sen, S. (2004) A Simple Linear Time (1+ ∊) -Approximation Algorithm for k-Means Clustering in Any Dimensions In: 45th Annual IEEE Symposium on Foundations of Computer Science, 17-19 Oct. 2004, Rome, Italy.

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Official URL: http://doi.org/10.1109/FOCS.2004.7

Related URL: http://dx.doi.org/10.1109/FOCS.2004.7

Abstract

We present the first linear time (1 + /spl epsiv/)-approximation algorithm for the k-means problem for fixed k and /spl epsiv/. Our algorithm runs in O(nd) time, which is linear in the size of the input. Another feature of our algorithm is its simplicity - the only technique involved is random sampling.

Item Type:Conference or Workshop Item (Paper)
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ID Code:123551
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