Reviews: Exact Combinatorial Optimization with Graph Convolutional Neural Networks

Neural Information Processing Systems 

Update following rebuttal: thanks for taking the time to run additional experiments and reporting back! I am generally supportive of the paper and as such have increased my score to 7. I hope the updates about related work will be incorporated if the paper is accepted, as well as additional experiments you found added value. Summary: This paper proposes an imitation learning approach for learning a branching strategy for integer programming. Key to this approach is the use of a graph neural network representation of the integer programs, together with feature engineering. This work differs from other recent learning-to-branch approaches in that the learning task, using imitation, might be simpler than previous ranking or regression formulations, and that the graph neural network can capture structural information of the instance beyond the simple handcrafted features of previous work.