Review for NeurIPS paper: Global Convergence and Variance Reduction for a Class of Nonconvex-Nonconcave Minimax Problems
–Neural Information Processing Systems
Weaknesses: Though there are some merits of the paper, here are a bunch of major problems of the submission: 1. PL condition is a very strong assumption. Although it does not require convexity-concavity, it is a global condition, which roughly requires similar properties of strong convexity-concavity. I agree there are some applications of min-max problems under PL condition, as mentioned in the paper, but the applications are extremely limited, and I am not sure they are important applications to ML community. In general, nonconvex-nonconcave min-max problems won't satisfy PL condition. To this extend, the title of the paper is a bit misleading, and it should mention PL condition explicitly.
Neural Information Processing Systems
Jan-21-2025, 12:05:20 GMT
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