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Asymptotic Properties of Nearest Neighbor Rules Using Edited Data
Abstract
The convergence properties of a nearest neighbor rule that uses an editing procedure to reduce the number of preclassified samples and to improve the performance of the rule are developed. Editing of the preclassified samples using the three-nearest neighbor rule followed by classification using the single-nearest neighbor rule with the remaining preclassified samples appears to produce a decision procedure whose risk approaches the Bayes' risk quite closely in many problems with only a few preclassified samples. The asymptotic risk of the nearest neighbor rules and the nearest neighbor rules using edited preclassified samples is calculated for several problems.
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Citations
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
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Survey on deep learning with class imbalance
Johnson, J. M., & Khoshgoftaar, T. M. (2019) · Journal of Big Data · doi:10.1186/s40537-019-0192-5 · Cited by 3,032
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Frenay, B., & Verleysen, M. (2014) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2013.2292894 · Cited by 1,777
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Metadata
- Authors
- Wilson, D. L.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics
- Published
- 1972-07
- Volume
- SMC-2
- Issue
- 3
- Pages
- 408-421
- ISSN
- 0018-9472 (ISSN-L)
- 2168-2909
- OpenAlex
- W2107686700
- Cited by
- 2,130
- References
- 1
- FWCI
- 3.18
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wilson, D. L. (1972). Asymptotic Properties of Nearest Neighbor Rules Using Edited Data. IEEE Transactions on Systems, Man, and Cybernetics. https://doi.org/10.1109/tsmc.1972.4309137
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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