Reviewer

Neural Information Processing Systems 

The authors claim that RSWL is a general framework, yet they only applied it to PCA. Can the parameter k be chosen automatically, perhaps via some cross-validation methods? It would be an interesting future direction to automatically learn hyper-parameter k. How to choose the reduced dimension d? Because if it is fair, I imagine a naive method that assigns all weights (i.e. 1) to the data point with the In other words, the sum of all the weights for the comparative methods is 1 for the fair comparison.

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