We provide some non asymptotic bounds, with explicit constants, that measure the rate of convergence, in expected Wasserstein distance, of the empirical measure associated to an i.i.d. $N$-sample of a given probability distribution on $\mathbb{R}^d$.

翻译：我们提供一些带有显式常数的非渐近界，用于度量$\mathbb{R}^d$上给定概率分布的独立同分布$N$样本所关联经验测度，在期望Wasserstein距离下的收敛速率。