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📄 Conference Paper

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

December 23, 2004 242 citations 🔒 Closed Annual Symposium on Foundations of Computer Science
242
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2
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15
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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.

Authors (2) 1 from IIT Delhi
Publication Details
TypeConference Paper
PublishedDecember 23, 2004
Source Annual Symposium on Foundations of Computer Science
PublisherInstitute of Electrical and Electronics Engineers
DOI 10.1109/focs.2004.7
OpenAlex ID W2110105238
Open AccessClosed Access