Nearest neighbor search
نویسنده
چکیده
Definition 1.1. Nearest Neighbor Search: Given a set of points {x1, . . . , xn} ∈ R preprocess them into a data structure X of size poly(n, d) in time poly(n, d) such that nearest neighbor queries can be performed in logarithmic time. In other words, given a search point q a radius r and X one can return an xi such the ||q − xi|| ≤ r or nothing if no such point exists. The search for xi should require at most poly(d, log(n)) time.
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