Paper:
Long Short-Term Memory (LSTM) is one of the most widely used recurrent structures in sequence modeling. Its goal is to use gates to control the information flow (e.g., whether to skip some information/transformation or not) in the recurrent computations, although its practical implementation based on soft gates only partially achieves this goal and is easy to overfit. In this paper, we propose a new way for LSTM training, which pushes the values of the gates towards 0 or 1. By doing so, we can (1) better control the information flow: the gates are mostly open or closed, instead of in a middle state; and (2) avoid overfitting to certain extent: the gates operate at their flat regions, which is shown to correspond to better generalization ability. However, learning towards discrete values of the gates is generally difficult. To tackle this challenge, we leverage the recently developed GumbelSoftmax trick from the field of variational methods, and make the model trainable with standard backpropagation. Experimental results on language modeling and machine translation show that (1) the values of the gates generated by our method are more reasonable and intuitively interpretable, and (2) our proposed method generalizes better and achieves better accuracy on test sets in all tasks. Moreover, the learnt models are not sensitive to low-precision approximation and low-rank approximation of the gate parameters due to the flat loss surface.

Review:
This paper propose a new "gate" function for LSTM to enable the values of the gates towards 0 or 1. The motivation behind is a  flat region of the loss surface is likely to generalize well. It shows the experimental results are comparable or better than vanilla LSTM and much more robust to low-precision approximation and low-rank approximation.
In section 3.2, the paper claimed using a smaller temperature cannot guarantee the outputs to be close to the boundary. Is there any experimental evidence to show it's not working? It also claimed pushing output gate to 0/1 will drop the performance. It actually quite interesting because there are bunch of paper claimed output gate is not important for language modeling, e.g. https://openreview.net/pdf?id=HJOQ7MgAW . 
In the sensitive analysis, what if apply rounding / low-rank for all the parameters? 
How was this approach compare to binarynet https://arxiv.org/abs/1602.02830 ? Applying the same idea, but only for forget gate/ input gate. Also, can we apply this idea to the binarynet? 
Overall, I think it's an interesting paper but I feel it should compare with some simple baseline to binarized the gate function.  
Updates: Thanks a lot for all the clarification. It do improve the paper quality but I'm still thinking it's higher than "6" but lower than "7". To me, improve ppl from "52.8" to "52.1" isn't very significant. For WMT, it improve on DE->EN but not for EN->DE (although it improve both for the author's own baseline). So I'm not fully convinced this approach could improve the generalization. But I feel this work can have many other applications such as "binarynet".