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A Branch and Bound Algorithm for Computing k-Nearest Neighbors
Abstract
Computation of the k-nearest neighbors generally requires a large number of expensive distance computations. The method of branch and bound is implemented in the present algorithm to facilitate rapid calculation of the k-nearest neighbors, by eliminating the necesssity of calculating many distances. Experimental results demonstrate the efficiency of the algorithm. Typically, an average of only 61 distance computations were made to find the nearest neighbor of a test sample among 1000 design samples.
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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
Cited by
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Wen, Y., Zhang, K., Li, Z., & Qiao, Y. (2016) · Lecture Notes in Computer Science · doi:10.1007/978-3-319-46478-7_31 · Cited by 4,077
FAST APPROXIMATE NEAREST NEIGHBORS WITH AUTOMATIC ALGORITHM CONFIGURATION
(2009) · Proceedings of the Fourth International Conference on Computer Vision Theory and Applications · doi:10.5220/0001787803310340 · Cited by 2,640
(1993) · doi:10.5555/313559.313789 · Cited by 998
HU, Q., YU, D., & XIE, Z. (2008) · Expert Systems with Applications · doi:10.1016/j.eswa.2006.10.043 · Cited by 513
The TV-tree: An index structure for high-dimensional data
Lin, K.-I., Jagadish, H. V., & Faloutsos, C. (1994) · The VLDB Journal · doi:10.1007/bf01231606 · Cited by 494
Metadata
- Authors
- Fukunaga, K., & Narendra, P. M.
- Venue
- IEEE Transactions on Computers
- Published
- 1975-07
- Volume
- C-24
- Issue
- 7
- Pages
- 750-753
- ISSN
- 0018-9340 (ISSN-L)
- 1557-9956
- 2326-3814
- OpenAlex
- W2088171019
- Cited by
- 736
- References
- 1
- FWCI
- 2.66
- Type
- journal article
- Language
- en
- Open access
- closed
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