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submit nearest neighbors in limited space okay thanks okay stay yeah thank you so yeah Iamp;#39;m going to talk about approximate nearest neighbors in limited space and this is joint work who is pure in dick so the question we ask is what is the space complexity of the approximate nearest neighbor problem in Euclidean space so let me define the problem in the first stage we get the data set of endpoints in the dimensions and our goal is to produce a small size representation of the data which we call the sketch so we are compressing the data set and in the second stage we get a new query point that we didnamp;#39;t know what we were sketching and the goal is to report an approximate nearest neighbor for that point from the sketch which is a point that doesnamp;#39;t have to be the closest data point to why because we allow approximation but it needs to be almost as close as the closest point this is the approximate nearest neighbor problem and in this talk we are going to focus on m