4122cb13c7a474c1976c9706ae36521d-Reviews.html

First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This is an interesting paper describing mechanism to introduce constraints of the priors 1) I have two concerns with how the discussion is formulated: 1.1) The introduction of the paper talks about preserving exchangeability, and a substantial effort is devoted to showing that restrictions on the predictive distributions do not necessarily lead to exchangeable rows. However, given that the authors are working with priors on array-valued processes, they should have framed the discussion in terms of separate exchangeability (Aldous, 1981), which is what we really desired from the model. I think that all the proofs works and the models described are indeed separately exchangeable (rather than unrestrictedly exchangeable), but the current presentation is not really adequate.