Abstract:We provide a static data structure for distance estimation which supports adaptive queries. Concretely, given a dataset X = {x i } n i=1 of n points in R d and 0 < p ≤ 2, we construct a randomized data structure with low memory consumption and query time which, when later given any query point q ∈ R d , outputs a (1 + ε)-approximation of q − x i p with high probability for all i ∈ [n]. The main novelty is our data structure's correctness guarantee holds even when the sequence of queries can be chosen adaptivel… Show more
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