that is on the left here i have two clusters one cluster is plus labels plus one cluster is labels minus and i'm trying to separate them so that's very simple i can just imagine there is some hyperplane in the middle and separating them but the clusters are really noisy so i'm in a regime where i will not be able to separate perfectly and yet so so this will even lead to a convex problem so that's more for kind of a comparison but the one that will be interestingly non-convex is the three cluster case where i have three gaussian clusters