Review for NeurIPS paper: Noise-Contrastive Estimation for Multivariate Point Processes

The paper derives a new estimation method for multi-variate point processes that is based on the'ranking'-variant of NCE. The paper is borderline: two reviewers think that the difference to previous work by Gao (who use NCE to estimate point-processes) and the empirical comparison is not sufficient. Two other reviewers disagree, with one in particular arguing that the paper should be accepted. The meta-reviewer thinks that the theory in the paper is sufficiently different from Gao's work, and that the theoretical aspects of the paper are deeper and more rigorous. The results do not follow directly from previous work by Gutmann & Hyvarinen (2012) or Ma & Collins (2018). The empirical results are good and the method should be useful in practice.