DocumentCode
1125008
Title
The Nearest Neighbor and the Bayes Error Rates
Author
Loizou, George ; Maybank, Stephen J.
Author_Institution
Department of Computer Science, Birkbeck College, University of London, Malet Street, London WC1E 7HX, England.
Issue
2
fYear
1987
fDate
3/1/1987 12:00:00 AM
Firstpage
254
Lastpage
262
Abstract
The (k, l) nearest neighbor method of pattern classification is compared to the Bayes method. If the two acceptance rates are equal then the asymptotic error rates satisfy the inequalities Ek,l + 1 ¿ E*(¿) ¿ Ek,l dE*(¿), where d is a function of k, l, and the number of pattern classes, and ¿ is the reject threshold for the Bayes method. An explicit expression for d is given which is optimal in the sense that for some probability distributions Ek,l and dE* (¿) are equal.
Keywords
Computer science; Distributed computing; Educational institutions; Error analysis; Extraterrestrial measurements; Nearest neighbor searches; Pattern classification; Pattern recognition; Probability density function; Probability distribution; Asymptotic error rates; Bayes method; Lebesgue integration; nearest neighbor method; statistical pattern recognition;
fLanguage
English
Journal_Title
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher
ieee
ISSN
0162-8828
Type
jour
DOI
10.1109/TPAMI.1987.4767899
Filename
4767899
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