<ul data-eligibleForWebStory="true">Researchers revisit randomized seeding techniques for k-means clustering and k-GMM, introducing new families of initialization methods.Experiments demonstrate constant factor improvements over traditional methods in terms of final metrics with modest overhead.Significant insights are gained into properties of k-means algorithms, such as correlation observations and variance reduction phenomena.The newly proposed seeding methods have the potential to become standard practices and open avenues for theoretical analysis.