This note is a continuation of the author's previous work on "Sharp bounds for the max-sliced Wasserstein distance." We use the same technique to obtain an upper bound for the expected max-sliced 2-Wasserstein distance between a compactly supported symmetric probability measure on a Euclidean space and its symmetrized empirical distribution.

翻译：本文是作者先前关于"最大切片瓦瑟斯坦距离的尖锐界"工作的延续。我们采用相同技术，得到了欧几里得空间上具有紧支撑的对称概率测度与其对称化经验分布之间的期望最大切片2-瓦瑟斯坦距离的上界。