4 problems

Manole et al.'s conjecture. A central limit theorem of this form should hold under the assumption

Let $p\in [1,+\infty[$, and define the sliced Wasserstein energy by … Here $w_\theta^{(p)}(X,Y)$ is the one-dimensional projected Wasserstein loss between $X$ and $Y$, and path dif…

Let $SWGFs$ and $WGFs$ denote sliced-Wasserstein and Wasserstein gradient flows, respectively, associated with the same functional. The correlation conjecture. There is a correlati…

Let $SWGFs$ and $WGFs$ denote sliced-Wasserstein and Wasserstein gradient flows, respectively. Consider the minimizing-movement scheme for a functional $\mathcal{F}$ and its limiti…