k means always converge


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  • Can the k-means algorithm converge?

    The algorithm always converges (by-definition) but not necessarily to global optimum.
    The algorithm may switch from centroid to centroid but this is a parameter of the algorithm ( precision , or delta ).
    This is sometimes refered as "cycling".
    The algorithm after a while cycles through centroids.8 nov. 2015

  • This is the failure of K-means and not of Lloyd's algorithm.
    K-means will always produce convex clusters, thus it can only work if clusters can be linearly separated.

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