Practical and optimal LSH for angular distance

Alexandr Andoni, Piotr Indyk, T.M.M. Laarhoven, Ilya Razenshteyn, Ludwig Schmidt

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

We show the existence of a Locality-Sensitive Hashing (LSH) family for the angular distance that yields an approximate Near Neighbor Search algorithm with the asymptotically optimal running time exponent. Unlike earlier algorithms with this property (e.g., Spherical LSH (Andoni-Indyk-Nguyen-Razenshteyn 2014) (Andoni-Razenshteyn 2015)), our algorithm is also practical, improving upon the well-studied hyperplane LSH (Charikar 2002) in practice. We also introduce a multiprobe version of this algorithm and conduct an experimental evaluation on real and synthetic data sets.We complement the above positive results with a fine-grained lower bound for the quality of any LSH family for angular distance. Our lower bound implies that the above LSH family exhibits a trade-off between evaluation time and quality that is close to optimal for a natural class of LSH functions.
Originele taal-2Engels
TitelAdvances in Neural Information Processing Systems (NIPS, Montreal, Canada, December 7-10, 2015)
RedacteurenC. Cortes, N.D. Lawrence, D.D. Lee, M. Sugiyama, R. Garnett
Plaats van producties.l.
UitgeverijCurran Associates
Pagina's1225-1233
Aantal pagina's9
StatusGepubliceerd - 7 dec 2015
EvenementAdvances in Neural Information Processing Systems (NIPS 2015) - Montreal, Canada
Duur: 7 dec 201510 dec 2015

Publicatie series

NaamAdvances in Neutral Information Processing Systems
Volume28

Congres

CongresAdvances in Neural Information Processing Systems (NIPS 2015)
Verkorte titelNIPS
LandCanada
StadMontreal
Periode7/12/1510/12/15

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