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Here we wish to cluster them to minimize the distance to the mean of their cluster.<br> | Here we wish to cluster them to minimize the distance to the mean of their cluster.<br> | ||
In our formulation we have k clusters.<br> | In our formulation we have k clusters.<br> | ||
The mean of each cluster <math>\mu_i</math> is called the centroid. | The mean of each cluster <math>\mu_i</math> is called the centroid.<br> | ||
====Optimization==== | ====Optimization==== | ||
Let <math>\mathbf{\mu}</math> denote the centroids and let <math>\mathbf{z}</math> denote the cluster labels for our data.<br> | Let <math>\mathbf{\mu}</math> denote the centroids and let <math>\mathbf{z}</math> denote the cluster labels for our data.<br> |