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A Cover Tree is a datastructure helpful in calculating the nearest neighbor of points given only a metric. A cover tree is particularly motivating for a confluence of reasons:

1. The running time of a nearest neighbor query is only O(log(n)) given a fixed intrinsic dimensionality. (like KR2002 and KL04)
2. The space usage and query time are O(n) under no assumptions. (like the naive approach, sb(s), and ball trees)
3. It's remarkably fast in practice.

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