Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels

Matthew Rosenzweig, Dejan Slepčev, Lihan Wang

We study the Wasserstein gradient flow of the squared Maximum Mean Discrepancy (MMD) generated by the nonsmooth energy kernels $K(z)=-|z{|}^q$, $0<q<2$. In dimensions $d\ge 2$, the co…