Deterministic Feature Selection for $k$-means Clustering

Computer Science – Learning

Scientific paper

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Scientific paper

We study feature selection for $k$-means clustering. Although the literature contains many methods with good empirical performance, algorithms with provable theoretical behavior have only recently been developed. Unfortunately, these algorithms are randomized and fail with, say, a constant probability. We address this issue by presenting a \emph{deterministic} feature selection algorithm for $k$-means with theoretical guarantees. At the heart of our algorithm lies a deterministic method for decompositions of the identity.

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