Reviews: Maximum Mean Discrepancy Gradient Flow

This paper seems to accomplish two feats at once: it provides a rather deep dive into the specific topic of gradient flows w.r.t. MMD, while it also lays out some original propositions and theorems that establish the paper's main contributions. The first two sections of the paper are excellent and provide a solid introduction to the material the subsequent sections. Per C1, it appears this is fully realized in Proposition 7 in Section 3.2. As an outsider to this level of detail in the field, it is unclear how strigent this assumption is to provide convergence to a global optimum.