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Are there any algorithms that give global optimum for K-Means?

The performance function of K-Means is minimum distance form the observations to the centroid of the closet cluster. For ideal solution we must find the real centroid of each cluster, but in ordinary ...
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Difference between Hartigan & Wong Algo to Lloyd's algorithm in K-means clustering

In the iterations of Hartigan and Wong Algo of K-Means clustering, If the centroid is updated in the last step, for each data point included, the within- cluster sum of squares for each data point if ...
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1 answer
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Questions about a k-means variant : recompute centroids after each point is reasigned

I have a variant of k-means, where the points are reassigned incrementally and I have a few questions about it. Each time we reassign a point (we move the point from cluster $C_1 $to $C_2$), we ...
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2 answers
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K-mean++ initialization algorithm alternative

I got this question as an exercise, and I frankly don't know where to begin: Consider the deterministic variant of the k−means++ algorithm where the set of initial centroids are selected in the ...