Skip to main content

Nearest Neighbour Based Classifiers

  • Chapter
Pattern Recognition

Part of the book series: Undergraduate Topics in Computer Science ((UTICS,volume 0))

Abstract

One of the simplest decision procedures that can be used for classification is the nearest neighbour (NN) rule. It classifies a sample based on the category of its nearest neighbour. When large samples are involved, it can be shown that this rule has a probability of error which is less than twice the optimum error—hence there is less than twice the probability of error compared to any other decision rule. The nearest neighbour based classifiers use some or all the patterns available in the training set to classify a test pattern. These classifiers essentially involve finding the similarity between the test pattern and every pattern in the training set.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Broder, A. J. Strategies for efficient incremental nearest neighbour search. Pattern Recognition 23(1/2): 171–178. 1990.

    Article  Google Scholar 

  2. Chang, C. L. Finding prototypes for nearest neighbour classifiers. IEEE Trans. on Computers C-23(11): 1179–1184. 1974.

    Article  Google Scholar 

  3. Cover, T. M. and P. E. Hart. Nearest neighbor pattern classification IEEE Trans. on Information Theory IT-13: 21–27. 1967.

    Article  Google Scholar 

  4. Dasarathy, Belur V. Minimal consistent set (MCS) identification for optimal nearest neighbour decision system design. IEEE Trans. on Systems, Man and Cybernetics 24(3). 1994.

    Google Scholar 

  5. Dejiver, P. A. and J. Kittler. On the edited nearest neighbour rule. Proceedings of the 5th International Conference on Pattern Recognition. pp. 72–80. 1980.

    Google Scholar 

  6. Dudani, S. A. The distance-weighted k nearest neighbor rule. IEEE Trans. on SMC SMC-6(4): 325–327. 1976.

    Google Scholar 

  7. Friedman, J. H., F. Baskett and L. J. Shustek. An algorithm for finding nearest neighbours. IEEE Trans on Computers C-24(10): 1000–1006. 1975.

    Article  Google Scholar 

  8. Fukunaga, K. and P. M. Narendra. A branch and bound algorithm for computing k nearest neighbours. IEEE Trans. on Computers. pp. 750–753. 1975.

    Google Scholar 

  9. Gates, G. W. The reduced nearest neighbour rule. IEEE Trans. on Information Theory IT-18(3): 431–433. 1972.

    Article  Google Scholar 

  10. Gowda, K.C. and G. Krishna. Edit and error correction using the concept of mutual nearest neighbourhood. International Conference on Cybernetics and Society. pp. 222–226. 1979.

    Google Scholar 

  11. Hart, P. E. The condensed nearest neighbor rule. IEEE Trans. on Information Theory IT-14(3): 515–516. 1968.

    Article  Google Scholar 

  12. Jozwik, A. A learning scheme for a fuzzy kNN rule. Pattern Recognition Letters 1(5/6): 287–289. 1983.

    Article  Google Scholar 

  13. Kim, B. S. and S. B. Park. A fast nearest neighbour finding algorithm based on the ordered partition. IEEE Trans on PAMI PAMI-8(6): 761–766. 1986.

    Article  Google Scholar 

  14. Kuncheva, L. Editing for the k nearest neighbours rule by a genetic algorithm. Pattern Recognition Letters 16(8): 809–814. 1995.

    Article  Google Scholar 

  15. Kuncheva, L. and L. C. Jain. Nearest neighbor classifier: Simultaneous editing and feature selection. Pattern Recognition Letters 20: 1149–1156. 1999.

    Article  Google Scholar 

  16. Lai, Jim Z. C., Yi-Ching Liaw and Julie Liu. Fast k nearest neighbour search based on projection and triangular inequality. Pattern Recognition 40: 351–359. 2007.

    Article  MATH  Google Scholar 

  17. McNames, James. A fast nearest neighbour algorithm based on a principal axis search tree. IEEE Trans. on Pattern Analysis and Machine Intelligence 23(9): 964–976. 2001.

    Article  Google Scholar 

  18. Miclet, L. and M.Dabouz. Approximative fast nearest neighbour recognition. Pattern Recognition Letters 1: 277–285. 1983.

    Article  Google Scholar 

  19. Papadimitriou, C. H. and J. L. Bentley. A worst-case analysis of nearest neighbour searching by projection. Lecture Notes in Computer Science 85: 470–482. 1980.

    MathSciNet  Google Scholar 

  20. Patrick, E. A., and F. P. Fischer. A generalized k nearest neighbor rule. Information and Control 16: 128–152. 1970.

    Article  MathSciNet  MATH  Google Scholar 

  21. Sanchez, J. S., F. Pla and F. J. Ferri. Prototype selection for the nearest neighbour rule through proximity graphs. Pattern Recognition Letters 18(6): 507–513. 1995.

    Article  Google Scholar 

  22. Devi, V. Susheela and M. Narasimha Murty. An incremental prototype set building technique. Pattern Recognition 35: 505–513. 2002.

    Article  MATH  Google Scholar 

  23. Swonger, C.W. Sample set condensation for a condensed nearest neighbor decision rule for pattern recognition. Frontiers of Pattern Recognition. 511– 519. 1972.

    Google Scholar 

  24. Tomek, I. A generalization of the kNNrule. IEEE Trans. on SMC SMC-6(2): 121–126. 1976.

    MathSciNet  Google Scholar 

  25. Tomek, I. An experiment with the edited nearest neighbour rule. IEEE Trans. on SMC SMC-6(6): 448–452. 1976.

    MathSciNet  Google Scholar 

  26. Lam, Wai, Chi-Kin Keung and Charles X. Ling. Learning good prototypes for classification using filtering and abstraction of instances. Pattern Recognition 35: 1491–1506. 2002.

    Article  MATH  Google Scholar 

  27. Lam, Wai, Chi-Kin Keung and Danyu Liu. Discovering useful concept prototypes for classification based on filtering and abstraction. IEEE Trans PAMI 24(8): 1075–1090. 2002.

    Article  Google Scholar 

  28. Wilson, D. L. Asymptotic properties of nearest neighbour rules using edited data. IEEE Trans. SMC SMC-2(3): 408–421. 1972.

    Google Scholar 

  29. Yunck, Thomas P. A technique to identify nearest neighbours. IEEE Trans. SMC SMC-6(10): 678–683. 1976.

    MathSciNet  Google Scholar 

  30. Zhang, Bin and Sargur N. Srihari. Fast k nearest neighbour classification using cluster-based trees. IEEE Trans. on Pattern Analysis and Machine Intelligence 26(4): 525–528. 2004.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Narasimha Murty .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Universities Press (India) Pvt. Ltd.

About this chapter

Cite this chapter

Murty, M.N., Devi, V.S. (2011). Nearest Neighbour Based Classifiers. In: Pattern Recognition. Undergraduate Topics in Computer Science, vol 0. Springer, London. https://doi.org/10.1007/978-0-85729-495-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-0-85729-495-1_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-494-4

  • Online ISBN: 978-0-85729-495-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics