Reviews: Clustering with Bregman Divergences: an Asymptotic Analysis

There are several points that need clarification, from the most important to the less important one: * One key missing point is the reason to exist of the k {2r/d} factor which appears in (14). The only motivation is intuition, but I do not get it at all. It must be introduced rigorously. If I am not mistaken, epsilon in (45), epsilon can be chosen arbitrarily small. If this is the case, then (47) is wrong, even for Mahalanobis, since is enforces the Hessian to be essentially spherical.