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SISAP
2008
IEEE

Counting Distance Permutations

11 years 7 months ago
Counting Distance Permutations
Distance permutation indexes support fast proximity searching in high-dimensional metric spaces. Given some fixed reference sites, for each point in a database the index stores a permutation naming the closest site, the second-closest, and so on. We examine how many distinct permutations can occur as a function of the number of sites and the size of the space. We give theoretical results for tree metrics and vector spaces with L1, L2, and L∞ metrics, improving on the previous best known storage space in the vector case. We also give experimental results and commentary on the number of distance permutations that actually occur in a variety of vector, string, and document databases. Key words: metric space, nearest neighbour, Voronoi diagram, distance permutation
Matthew Skala
Added 01 Jun 2010
Updated 01 Jun 2010
Type Conference
Year 2008
Where SISAP
Authors Matthew Skala
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