Review for NeurIPS paper: Learning Some Popular Gaussian Graphical Models without Condition Number Bounds

Weaknesses: Attractiveness is a very strong condition. To argue why the paper is a significant contribution to the literature, the authors should elaborate a bit more why this assumption is important from the practical point of view. Perhaps a good place to start is a recent paper: Agrawal, Raj, Uma Roy, and Caroline Uhler. Another weakness (but this is a growing problem overall) is that the whole interesting math is moved to the appendix and the paper became only a walk-through through the main ideas. I personally do not like this style as it is hard to get the feeling behind the structure of the problem without jumping back and forth between the paper and the appendix.