The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
An Algorithm for Finding Best Matches in Logarithmic Expected Time
Abstract
An algorithm and data structure are presented for searching a file containing N records, each described by k real valued keys, for the m closest matches or nearest neighbors to a given query record. The computation required to organize the file is proportional to kNlogN. The expected number of records examined in each search is independent of the file size. The expected computation to perform each search is proportional-to 1ogN. Empirical evidence suggests that except for very small files, this algorithm is considerably faster than other methods.
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Cites
Constructing optimal binary decision trees is NP-complete
Hyafil, L., & Rivest, R. L. (1976) · Information Processing Letters · doi:10.1016/0020-0190(76)90095-8 · Cited by 959
Research works printed but not linked: 10
- 10.1145/361002.361007 · DOI · Paper page
- 10.1145/362003.362025 · DOI · Paper page
- FINKEL , R.A. , AND BENTLEY , J.L . Quad trees--a data structure for retrmval on composite keys . Acta Informatica 4 , 1 ( 1974 ), 1-9. FINKEL, R.A., AND BENTLEY, J.L. Quad trees--a data structure for retrmval on composite keys. Acta Informatica 4, 1 (1974), 1-9. · DOI
- FRIEDMAN , J.H. , BASKETT , F. , AND SHUSTEK , L.J . An algorithm for finding nearest neighbors . IEEE Trans. Comptrs C-24 ( 1975 ), 1000 - 1006 . FRIEDMAN, J.H., BASKETT, F., AND SHUSTEK, L.J. An algorithm for finding nearest neighbors. IEEE Trans. Comptrs C-24 (1975), 1000-1006. · DOI · Paper page
- FUKUNAGA , K. , AND HOSTETLER , L.D Optimization of k-nearest neighbor density estimates. 1EEE Trans . Inform Theory IT-19 ( 1973 ), 320 - 326 . FUKUNAGA, K., AND HOSTETLER, L.D Optimization of k-nearest neighbor density estimates. 1EEE Trans. Inform Theory IT-19 (1973), 320-326. · DOI · Paper page
- FUKUNAGA , K. , AND NARENDRA , P.M . A branch and bound algorithm for computing k-nearest neighbors . IEEE Trans. Comptrs. C-24 ( 1975 ), 750 - 753 . FUKUNAGA, K., AND NARENDRA, P.M. A branch and bound algorithm for computing k-nearest neighbors. IEEE Trans. Comptrs. C-24 (1975), 750-753. · DOI · Paper page
- KNUTH , D.E. The Art of Computer Programming , Vol. 1 , Addison-Wesley , Reading, Mass ., 1969 , p. 401. KNUTH, D.E. The Art of Computer Programming, Vol. 1, Addison-Wesley, Reading, Mass., 1969, p. 401.
- PIZER , S.M. Numerical Computing and Mathematical Analysis , Science Research Associates , Chicago, Ill ., 1975 , p. 88, eq. 87. PIZER, S.M. Numerical Computing and Mathematical Analysis, Science Research Associates, Chicago, Ill., 1975, p. 88, eq. 87.
- RIVEST , R. On the optimality of Elias' algorithm for performing best match searches. Information Processing 74 , North-Holland Pub. Co. , Amsterdam , 1974 , pp. 678 - 681 . RIVEST, R. On the optimality of Elias' algorithm for performing best match searches. Information Processing 74, North-Holland Pub. Co., Amsterdam, 1974, pp. 678-681.
- SHAMOS , M.I. Geometric Complexity. Conf. Rec. Seventh Annual ACM Syrup. on Theory of Comptng , Albuquerque, N.Mex. , May 1975 , 224 - 233 . 10.1145/800116.803772 SHAMOS, M.I. Geometric Complexity. Conf. Rec. Seventh Annual ACM Syrup. on Theory of Comptng, Albuquerque, N.Mex., May 1975, 224-233. 10.1145/800116.803772 · doi:10.1145/800116.803772
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Wu, X., Kumar, V., Ross Quinlan, J., Ghosh, J., Yang, Q., Motoda, H., McLachlan, G. J., Ng, A., Liu, B., Yu, P. S., et al. (2008) · Knowledge and Information Systems · doi:10.1007/s10115-007-0114-2 · Cited by 5,667
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
Metadata
- Authors
- Friedman, J. H., Bentley, J. L., & Finkel, R. A.
- Venue
- ACM Transactions on Mathematical Software
- Published
- 1977-09
- Volume
- 3
- Issue
- 3
- Pages
- 209-226
- ISSN
- 0098-3500 (ISSN-L)
- 1557-7295
- OpenAlex
- W2024668293
- Cited by
- 2,813
- References
- 1
- FWCI
- 9.38
- Type
- journal article
- Language
- en
- Open access
- closed
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- Friedman, J. H., Bentley, J. L., & Finkel, R. A. (1977). An Algorithm for Finding Best Matches in Logarithmic Expected Time. ACM Transactions on Mathematical Software. https://doi.org/10.1145/355744.355745
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