2015 SelectiveHashingClosingtheGapBe

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Subject Headings: Locality-Sensitive Hashing.

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Abstract

Locality Sensitive Hashing (LSH) and its variants, are generally believed to be the most effective radius search methods in high-dimensional spaces. However, many applications involve finding the k nearest neighbors (k-NN), where the k-NN distances of different query points may differ greatly and the performance of LSH suffers. We propose a novel indexing scheme called Selective Hashing, where a disjoint set of indices are built with different granularities and each point is only stored in the most effective index. Theoretically, we show that k-NN search using selective hashing can achieve the same recall as a fixed radius LSH search, using a radius equal to the distance of the c 1 k th nearest neighbor, with at most c 2 times overhead, where c 1 and c 2 are small constants. Selective hashing is also easy to build and update, and outperforms all the state-of-the-art algorithms such as DSH and IsoHash.

References

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 AuthorvolumeDate ValuetitletypejournaltitleUrldoinoteyear
2015 SelectiveHashingClosingtheGapBeJinyang Gao
H.V. Jagadish
Beng Chin Ooi
Sheng Wang
Selective Hashing: Closing the Gap Between Radius Search and K-NN Search10.1145/2783258.27832842015