TY - JOUR

T1 - Efficient search for approximate nearest neighbor in high dimensional spaces

AU - Kushilevitz, Eyal

AU - Ostrovsky, Rafail

AU - Rabani, Yuval

PY - 1998

Y1 - 1998

N2 - We address the problem of designing data structures that allow efficient search for approximate nearest neighbors. More specifically, given a database consisting of a set of vectors in some high dimensional Euclidean space, we want to construct a space-efficient data structure that would allow us to search, given a query vector, for the closest or nearly closest vector in the database. We also address this problem when distances are measured by the L1 norm, and in the Hamming cube. Significantly improving and extending recent results of Kleinberg, we construct data structures whose size is polynomial in the size of the database, and search algorithms that run in time nearly linear or nearly quadratic in the dimension (depending on the case; the extra factors are polylogarithmic in the size of the database).

AB - We address the problem of designing data structures that allow efficient search for approximate nearest neighbors. More specifically, given a database consisting of a set of vectors in some high dimensional Euclidean space, we want to construct a space-efficient data structure that would allow us to search, given a query vector, for the closest or nearly closest vector in the database. We also address this problem when distances are measured by the L1 norm, and in the Hamming cube. Significantly improving and extending recent results of Kleinberg, we construct data structures whose size is polynomial in the size of the database, and search algorithms that run in time nearly linear or nearly quadratic in the dimension (depending on the case; the extra factors are polylogarithmic in the size of the database).

UR - http://www.scopus.com/inward/record.url?scp=0031636499&partnerID=8YFLogxK

U2 - 10.1145/276698.276877

DO - 10.1145/276698.276877

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AN - SCOPUS:0031636499

SN - 0734-9025

SP - 614

EP - 623

JO - Conference Proceedings of the Annual ACM Symposium on Theory of Computing

JF - Conference Proceedings of the Annual ACM Symposium on Theory of Computing

T2 - Proceedings of the 1998 30th Annual ACM Symposium on Theory of Computing

Y2 - 23 May 1998 through 26 May 1998

ER -