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Mapping k-means cluster centers and origins (measuring k-means accuracy)

Say I generate a dataset $X$: the first $i$ samples follow $x_i\sim N(\mu_1,\Sigma_1^2)$, the next j samples follow $N(\mu_2,\Sigma_2^2)$ and the last $l$ samples from $N(\mu_3,\Sigma_3^2)$. Naturally,...
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