Summary This paper presents Neural Process Networks, an architecture for capturing procedural knowledge stated in texts that makes use of a differentiable memory, a sentence and word attention mechanism, as well as learning action representations and their effect on entity representations.  The architecture is tested for tracking entities in recipes, as well as generating the natural language description for the next step in a recipe.  It is compared against a suit of baselines, such as GRUs, Recurrent Entity Networks, Seq2Seq and the Neural Checklist Model.  While I liked the overall paper,  I am worried about the generality of the model, the qualitative analysis, as well as a fair comparison to Recurrent Entity Networks and non-neural baselines. Strengths I believe the authors made a good effort in comparing against existing neural baselines (Recurrent Entity Networks, Neural Checklist Model) *for their task*.  That said, it is unclear to me how generally applicable the method is and whether the comparison against Recurrent Entity Networks is fair (see Weaknesses). I like the ablation study. Weaknesses While I find the Neural Process Networks architecture interesting  and I acknowledge that it outperforms Recurrent Entity Networks for the presented tasks,  after reading the paper it is not clear to me how generally applicable the architecture is.  Some design choices seem rather tailored to the task at hand (manual collection of actions MTurk annotation in section 3.1)  and I am wondering where else the authors see their method being applied given that the architecture relies on all entities and actions being known in advance.  My understanding is that the architecture could be applied to bAbI and CBT (the two tasks used in the Recurrent Entity Networks paper).  If that is the case, a fair comparison to Recurrent Entity Networks would have been to test against Recurrent Entity Networks on these tasks too.  If they the architecture cannot be applied in these tasks, the authors should explain why. I am not convinced by the qualitative analysis.  Table 2 tells me that even for the best model the entity selection performance is rather unreliable (only 55.39% F1),  yet all examples shown in Table 3 look really good, missing only the two entities oil (1) and sprinkles (3).  This suggests that these examples were cherry-picked  and I would like to see examples that are sampled randomly from the dev set.  I have a similar concern regarding the generation task.  First, it is not mentioned where the examples in Table 6 are taken from – is it the train, dev or test set?  Second, the overall BLEU score seems quite low even for the best model,  yet the examples in Table 6 look really good.  In my opinion, a good qualitative analysis should also discuss failure cases.  Since the BLEU score is so low here,  you might also want to compare perplexity of the models. The qualitative analysis in Table 5 is not convincing either.  In Appendix A.1 it is mentioned that word embeddings are initialized from word2vec trained on the training set.  My suspicion is that one would get the clustering in Table 4 already from those pretrained vectors, maybe even when pretrained on the Google news corpus.  Hence, it is not clear what propagating gradients through the Neural Process Networks into the action embeddings adds, or put differently, why does it have to be a differentiable architecture when an NLP pipeline might be enough?  This could easily be tested by another ablation where action embeddings are pretrained using word2vec and then fixed during training of the Neural Process Network.  Moreover, in 3.3 it is mentioned that even the Action Selection is pretrained,  which makes me wonder what is actually trained jointly in the architecture and what is not. I think the difficulty of the task at hand needs to be discussed at some point, ideally early in the paper.  Until examples on page 7 are shown, I did not have a sense for why a neural architecture is chosen.  For example, in 2.3 it is mentioned that for "wash and cut" the two functions fwash and fcut need to be selected.  For this example, this seems trivial  as the functions have the same name  (and you could even have a function per name!).  As far as I understand, the point of the action selector is to only have a fixed number of learned actions and multiple words (cut, slice etc.) should select the same action fcut.  Otherwise (if there is little language ambiguity) I would not see the need for a complex neural architecture.  Related to that, a non-neural baseline for the entity selection task that in my opinion definitely needs to be added is extracting entities using a pretrained NER system and returning all of them as the selection. p2 Footnote 1: So if I understand this correctly, this work builds upon a dataset of over 65k recipes from Kiddon et al. (2016), but only for 875 of those detailed annotations were created? Minor Comments p1: The statement "most natural language understanding algorithms do not have the capacity …" should be backed by reference. p2: "context representation ht" – I would directly mention that this is a sentence encoding. p3: 2.4: I have the impression what you are describing here is known in the literature as entity linking. p3 Eq.3: Isn't c3*0 always a vector of zeros? p4 Eq.6: W4 is an order-3 tensor, correct? p4 Eq.8: What is YC and WC here and what are their dimensions?  I am confused by the softmax,  as my understanding (from reading the paragraph on the Action Selection Loss on p.5) was that the expression in the softmax here is a scalar (as it is done for every possible action),  so this should be a sigmoid to allow for multiple actions to attain a probability of 1? p5: "See Appendix for details" -> "see Appendix C for details" p5 3.3: Could you elaborate on the heuristic for extracting verb mentions?  Is only one verb mention per sentence extracted? p5: "trained to minimize cross-entropy loss" -> "trained to minimize the cross-entropy loss" p5 3.3: What is the global loss? p6: "been read (§2.5." -> "been read (§2.5)." p6: "We encode these vectors using a bidirectional GRU" – I think you composing a fixed-dimensional vector from the entity vectors?  What's eI? p7: For which statement is (Kim et al. 2016) the reference?  Surely, they did not invent the Hadamard product. p8: "Our model, in contrast" use" -> "Our model, in contrast, uses". p8 Related Work: I think it is important to mention that existing architectures such as Memory Netwroks could, in principle, learn to track entities and devote part of their parameters to learn the effect of actions.  What Neural Process Networks are providing is a strong inductive bias for tracking entities and learning the effect of actions that is useful for the task considered in this paper.  As mentioned in the weaknesses, this might however come at the price of a less general model,  which should be discussed.