Review for NeurIPS paper: Fairness constraints can help exact inference in structured prediction

This paper is about structures output predictions analysis under'fairness' constraint. This paper shows that constraints relative to fairness can help to increases accuracies. Fairness is one of the notion whose importance is rising in our community, and this paper give interesting insights about it. One of the main issue raised by one of the reviewer that pleads for non acceptance is the "vagueness" of the definition of fairness here. I personally think that this issue should not be taken to much into account here, there is still in our community some "vagueness" according to what the good definition should be.