Reviews: Fast and Flexible Monotonic Functions with Ensembles of Lattices

The paper is heavily based on the previous work on lattice (and monotone lattice) regression, and is thus not self-contained. It is not even explained in the main part of the paper what is the actual function which a lattice represents (two examples are found in the supplementary materials, but I still found the explanation two brief). I think this should definitely be a part of the main paper, otherwise the reader is forced to check the previous work on this topic to understand what kind model is actually being considered. While (7) is convex given calibrators being fixed, it is not clear whether it is convex when jointly optimized over calibration and lattice parameters (I doubt it is). Moreover, (3) seems highly complex and combinatorial optimization criterion.