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arXiv · 1509.00916

Improved and Simplified Inapproximability for k-means

Euiwoong Lee·Melanie Schmidt·John Wright
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Abstract

The k-means problem consists of finding k centers in the d-dimensional Euclidean space that minimize the sum of the squared distances of all points in an input set P to their closest respective center. Awasthi et. al. recently showed that there exists a constant c > 1 such that it is NP-hard to approximate the k-means objective within a factor of c. We establish that the constant c is at least 1.0013.

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Euiwoong Lee, Melanie Schmidt, John Wright. 2015-09-03. Improved and Simplified Inapproximability for k-means. https://arxiv.org/abs/1509.00916

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