3 problems

Let $P$ be the probability measure and let $\bar P$ be its Wasserstein barycenter. Let ${\bar P}_n$ denote the empirical Wasserstein barycenter based on $n$ observations, and let…

Let CWB denote the computational method for Wasserstein barycenters based on regularization terms, and consider its observed error curve as the dimension of the input distributions…

Let $\mu_0$ and $\mu_1$ be Gaussian mixture models on $\mathbb{R}^d$, let $\gamma$ be an optimal transport plan between them, and let $(\mathrm{P}_t)_{t\in[0,1]}$ denote the interp…