Addressing Reviewer Comments as an Integrative Negotiation

Reviewer Comments Reviewer 1 - Minor Essential

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Response to Reviewer Comments

Given d > 2 and a set of n grid points Q in R, we design a randomized algorithm that finds a w-wide separator, which is determined by a hyper-plane, in O(n 2 d log n) sublinear time such that Q has at most ( d d+1 + o(1))n points one either side of the hyper-plane, and at most cdwn d−1 d points within w 2 distance to the hyper-plane, where cd is a constant for fixed d. In particular, c3 = 1.209...

Reviewers ' Comments : Reviewer # 1 ( Remarks

I wondered whether this strategy switch (go central, go toward the target) was a conscious, cognitive thing (seems likely), but I found it interesting in this regard that the use of the strategy varied with speed even in the slow condition. In our paper on this (cited here), the switch is continuous depending on the priors; here it's treated somewhat like a binary switch even though that seems ...

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