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Neural Information Processing Systems 

We would like to point out that K-means is used only once to17 initialize the representativesets and isnot anintrinsic component ofthe online algorithm. What is important to observe21 is that N is kept constant throughout in order to reduce the storage footprint and to ensure low-complexity online22 processing. Tomaintain the list constant, for every added point another point is removed. Also, the reviewer is correct24 in observing thatN does not feature in the convergence results, which are asymptotic and do not imply anything25 about the convergence rate. Clearly, if the point dimensionm is large, it is beneficial to increaseN.

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