Beau ------------------ SECTION 1 -------------------- Overall this way a very clear and well written section. I think there's a few specifics in terms of notation and linking back to previous information that lost me when I was reading, but these should be easily fixed from the following section. It's a very clear explanation of the different folds assignments, although it could help to make more specific links between them. SECTION 2 -------------------- Sec 2: Paragraph 1: Introduce Cross Validation, then V-fold CV, then explain the components effecting the method. Sentence two of the first paragraph: In terms of the topic/stress position concept we learned, it may make sense to switch the order here: "With the traning set, we estimate model parameters and use the validation set to assess model performance", or something like this. Could probably split sentence 3 into two: The first explaining V-fold, and the second how it works with networks. Right now it appears to be both explaining V-fold AND how this matches up in the network situation. Sec 2: Paragraph 2: Explain the lay-out of the paper. No comments, this is a very smooth paragraph. Sec 1: Paragraph 3: Set up the notation I was a little bit confused in sentence 2. What exactly is Y? Is the matrix Y, or is Y a list of observed edges? In the pseudocode, we have Models M_1 ... M_t. This is (I think) the first we have heard of these models. Are these models in section 1? Similarly, this is the first we've heard of the parameters and later variables. It seems that for each model, we split the data into v-folds, compute the error on each and average them. But I'm not positive quite yet this is the set-up Sec 2.1, Paragraph 1: Nice pictures in figure 2. It may help to have labels underneath the images with "edgeCV", "latincv", etc.... since this was the label presented in the paragraph. As a reader, I went to figure two with the "edgeCV" label in mind. Sec 2.2, Paragraph 1: The natural progression here is that the simplest model, uniform assignment to folds, has issues in that it may assign every edge containing node i to a single fold. It may help to contrast this here, especially to link section 2.1 with the current section. "In contrast to edgeCV, latinCV guarantees each row and column has an equal number of occurences..." Sec 2.2, Paragraph 2: This is a tricky concept to explain, but I think references the images REALLY helps here. When the reader get's lost trying to keep all of the details in their head, they can reference the image to get a grasp of what is happening. Sec 2.3, Paragraph 1: Since this is the first time we've introduced L, it makes sense to put this in the stress position! At first, I didn't issue quite understand that each NODE goes to a fold, since the previous two sections either dealt with blocks or individual cells. "thus the training set sizes are comparable to those in V 2 fold random edge CV" I stumbled a bit on this sentence. The main idea is that the training size are about the same as those described in sections 2.1 and 2.2, it might be more clear to the reader to reference this specifically. In the final sentence, it may help to add a sentence explaining WHY this is the most important consequence of the assignment feature. In this, we understand that it's important, but as a reader I'm not sure why this relationship should be so striking.