The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Efficient search for approximate nearest neighbor in high dimensional spaces
Open accessAbstract
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 struct,ure t,hat would allow us to search, given a query vector, for t.he closest or nearly closest vector in the database.We also address t.hii problem when distances are measured by the L1 norm, and in t.he Hamming cube.Sign%cant.lyimproving and extending recent results of Kleinberg, we const,ruct data structures whose size is polynomial in the size of t,he database, and search algorithms t,hat run in time nearly linear or nearly quadratic in the dimension (depending on the case; the extra factors are polylogarit.hmicin the size of the database).
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Cites
Nearest neighbor pattern classification
Cover, T., & Hart, P. (1967) · IEEE Transactions on Information Theory · doi:10.1109/tit.1967.1053964 · Cited by 16,936
Approximate nearest neighbors: towards removing the curse of dimensionality
Indyk, P., & Motwani, R. (1998) · Proceedings of the thirtieth annual ACM symposium on Theory of computing - STOC '98 · doi:10.1145/276698.276876 · Cited by 4,188
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
Vapnik, V. N., & Chervonenkis, A. Y. (1971) · Theory of Probability & Its Applications · doi:10.1137/1116025 · Cited by 2,448
Cited by
Approximate nearest neighbors: towards removing the curse of dimensionality
Indyk, P., & Motwani, R. (1998) · Proceedings of the thirtieth annual ACM symposium on Theory of computing - STOC '98 · doi:10.1145/276698.276876 · Cited by 4,188
Near-optimal hashing algorithms for approximate nearest neighbor in high dimensions
Andoni, A., & Indyk, P. (2008) · Communications of the ACM · doi:10.1145/1327452.1327494 · Cited by 1,437
Near-Optimal Hashing Algorithms for Approximate Nearest Neighbor in High Dimensions
Andoni, A., & Indyk, P. (2006) · 2006 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS'06) · doi:10.1109/focs.2006.49 · Cited by 1,067
Algorithmic applications of low-distortion geometric embeddings
Indyk, P. (2001) · Proceedings 42nd IEEE Symposium on Foundations of Computer Science · doi:10.1109/sfcs.2001.959878 · Cited by 253
Off the Beaten Path: Let's Replace Term-Based Retrieval with k-NN Search
Boytsov, L., Novak, D., Malkov, Y., & Nyberg, E. (2016) · Proceedings of the 25th ACM International on Conference on Information and Knowledge Management · doi:10.1145/2983323.2983815 · Cited by 50
Metadata
- Authors
- Kushilevitz, E., Ostrovsky, R., & Rabani, Y.
- Venue
- Proceedings of the thirtieth annual ACM symposium on Theory of computing - STOC '98
- Publisher
- ACM Press
- Published
- 1998
- Pages
- 614-623
- OpenAlex
- W2050749090
- Cited by
- 259
- References
- 3
- FWCI
- 23.19
- Type
- conference paper
- Language
- en
- Open access
- gold
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- Kushilevitz, E., Ostrovsky, R., & Rabani, Y. (1998). Efficient search for approximate nearest neighbor in high dimensional spaces. Proceedings of the thirtieth annual ACM symposium on Theory of computing - STOC '98. https://doi.org/10.1145/276698.276877
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