Reviews: Asymptotic Guarantees for Learning Generative Models with the Sliced-Wasserstein Distance

Clarity: the article is clear and well written, In this aspect the paper is an "accept" for me. This is an accept as well (6) Quality: this paper is of high quality, it is clear there is a significant research effort behind. The combination "theoretical results empirical validation in simple cases" is sensible given the type of paper this is, and the audience. Accept too (6) Originality: This is the item where I tend to reject more than to accept (5). I think it is definitely original, but all the theoretical contributions seem to me a bit marginal: I am very familiar with Bernton et al 2018, the paper that develops the technique (in turn, mainly based on Basseti et al 2006 and Pollard 1980) that is used here.