Performance of K-means and GMM vs $K$ on the 2d dataset from \cref{fig:kmeansVoronoi}. (a) Distortion on validation set vs $K$. Generated by kmeans_silhouette.ipynb . (b) BIC vs $K$. Generated by gmm_2d.ipynb . (c) Silhouette score vs $K$. Generated by kmeans_silhouette.ipynb .