Wasserstein Gradient Flows of MMD Functionals with Distance Kernels under Sobolev Regularization

Richard Duong, Nicolaj Rux, Viktor Stein +1

We consider Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals ${\text{MMD}}_K^2(\cdot ,\nu )$ for positive and negative distance kernels $K(x,y):=\pm |x-y|$ and…