Wasserstein Gradient Flows of MMD Functionals with Distance Kernel and Cauchy Problems on Quantile Functions

Richard Duong, Viktor Stein, Robert Beinert +2

We give a comprehensive description of Wasserstein gradient flows of maximum mean discrepancy (MMD) functionals ${\mathcal{F}}_{\hat{I}}½:={\text{MMD}}_K^2(\cdot ,\hat{I}½)$ towards given target mea…