Reviews: Multi-output Polynomial Networks and Factorization Machines

The authors extend factorization machines and polynomial networks to the multi-output setting casting their formulation as a 3-way tensor decomposition. Experiments on classification and recommendation are presented. I enjoyed reading the paper and although the model itself seems a somewhat incremental extension with respect to [5], the algorithmic approach is interesting and the theoretical results are welcome. I would like to see runtimes of the proposed model compared to baselines, kernelized in particular, to highlight the benefits of the proposed method. Besides, the classification experiments could use at least one large dataset, the largest used is letter (N 15,000), again it will serve to highlight the benefits of the proposed model.