Review for NeurIPS paper: Kernel Methods Through the Roof: Handling Billions of Points Efficiently

Neural Information Processing Systems 

There is a consensus among the knowledgeable reviewers that this work makes a significant contribution to the kernel community. It integrates several practical techniques and engineering efforts to further improve the scalability of the kernel machines. The techniques proposed in this work will permit the use of several GPUs in training kernel-based models with huge amount of data, which I also see as a significant contribution. Regardless of the overall score, I think this paper deserves an oral because it shows how to take full advantage of GPU hardware when solving learning problems with kernels methods. Scalability is one of the long-standing problems in kernel machines but has been largely neglected and under-appreciated in the past few years.