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Near(est) Neighbor in High Dimensions

Alexandr Andoni (slides by Piotr Indyk). Near(est) Neighbor in High Dimensions. Nearest Neighbor. Given: A set P of points in R d Goal: build data structure which, for any query q, returns a point p ? P minimizing ||p-q||. q. Solution for d=2 (sketch). Compute Voronoi diagram

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Near(est) Neighbor in High Dimensions