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Cover trees for nearest neighbor
- ICML
, 2006
"... We present a tree data structure for fast nearest neighbor operations in general npoint metric spaces (where the data set consists of n points). The data structure requires O(n) space regardless of the metric’s structure yet maintains all performance properties of a navigating net (Krauthgamer & Lee ..."
Abstract
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Cited by 85 (0 self)
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We present a tree data structure for fast nearest neighbor operations in general npoint metric spaces (where the data set consists of n points). The data structure requires O(n) space regardless of the metric’s structure yet maintains all performance properties of a navigating net (Krauthgamer & Lee, 2004b). If the point set has a bounded expansion constant c, which is a measure of the intrinsic dimensionality, as defined in (Karger & Ruhl, 2002), the cover tree data structure can be constructed in O � c 6 n log n � time. Furthermore, nearest neighbor queries require time only logarithmic in n, in particular O � c 12 log n � time. Our experimental results show speedups over the brute force search varying between one and several orders of magnitude on natural machine learning datasets. 1.

