4 problems

The paper studies the Wasserstein gradient flow of the Sinkhorn divergence toward a target Gaussian measure, with a Gaussian source measure, and seeks a convergence criterion for t…

Let $(X,d)$ be a compact metric space, let $\varepsilon>0$, let $S_\varepsilon$ be the Sinkhorn divergence, and let $\mathsf{d}_S$ be the Riemannian distance whose tensor is the He…

Let $(X,d)$ be the compact metric space underlying the construction, let $\varepsilon>0$ be the entropic regularization parameter, and let $\mathsf{d}_S$ denote the associated Sink…

Let $S_\lambda$ denote the debiased Sinkhorn divergence as a function of the regularization parameter $\lambda$, and suppose that $S_\lambda$ admits a fourth-order Taylor expansion…