Review for NeurIPS paper: Multipole Graph Neural Operator for Parametric Partial Differential Equations

Neural Information Processing Systems 

I agree with the authors that R1's concerns are not relevant to the acceptance decision and have removed their review from consideration. R2 raised the concern that there are insufficient benchmarks to judge the value of the work; the author rebuttal countered that the baselines identified by R2 do not attack the same use case as the proposed algorithm. I concur with this assessment. R2 also pointed out that the method was evaluated on 1d problems only; the authors rebutted that the method was demonstrated on both 1- and 2d problems, and gave an example of a Bayesian inverse problem that motivates this method even in low dimensions. R4 recommended accept because of the novelty of the proposed multipole graph neural operator.