Scalability and Total Recall with Fast CoveringLSH

Ninh Dang Pham, Rasmus Pagh

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Abstrakt

Locality-sensitive hashing (LSH) has emerged as the dominant algorithmic technique for similarity search with strong performance guarantees in high-dimensional spaces. A drawback of traditional LSH schemes is that they may have false negatives, i.e., the recall is less than 100%. This limits the applicability of LSH in settings requiring precise performance guarantees. Building on the recent theoretical "CoveringLSH" construction that eliminates false negatives, we propose a fast and practical covering LSH scheme for Hamming space called Fast CoveringLSH (fcLSH). Inheriting the design benefits of CoveringLSH our method avoids false negatives and always reports all near neighbors. Compared to CoveringLSH we achieve an asymptotic improvement to the hash function computation time from O(dL) to O(d + (LlogL), where d is the dimensionality of data and L is the number of hash tables. Our experiments on synthetic and real-world data sets demonstrate that fcLSH is comparable (and often superior) to traditional hashing-based approaches for search radius up to 20 in high-dimensional Hamming space.
OriginalsprogEngelsk
TitelProceedings of the 25th ACM International on Conference on Information and Knowledge Management : CIKM '16
ForlagAssociation for Computing Machinery
Publikationsdato2016
Sider1109-1118
ISBN (Elektronisk)978-1-4503-4073-1
DOI
StatusUdgivet - 2016

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