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Reference Set Reduction Algorithms Based on Double Sorting

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Computer Recognition Systems 2

Part of the book series: Advances in Soft Computing ((AINSC,volume 45))

Abstract

The reference set reduction algorithm for 1-NN rule, resulting in the consistent reduced reference sets, is presented. The algorithm uses well known Hart’s algorithm. Samples from the reference set are initially sorted by two keys. The first one is the largest number of nearest neighbours from the same class, while the second one is a mutual distance measure introduced by Gowda and Krishna. The simple artificial example is used to show how the proposed algorithm operates. Two sets known as phoneme and satimage data have been used to verify the algorithm effectiveness, which is compared with the one offered by Gowda-Krishna algorithm.

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References

  1. Hart P.E. (1968) The condensed nearest neighbor rule. IEEE Transactions on Information Theory, vol. IT-14, no. 3 (Corresp.), pp. 515–516

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© 2007 Springer-Verlag Berlin Heidelberg

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Raniszewski, M. (2007). Reference Set Reduction Algorithms Based on Double Sorting. In: Kurzynski, M., Puchala, E., Wozniak, M., Zolnierek, A. (eds) Computer Recognition Systems 2. Advances in Soft Computing, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75175-5_32

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  • DOI: https://doi.org/10.1007/978-3-540-75175-5_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75174-8

  • Online ISBN: 978-3-540-75175-5

  • eBook Packages: EngineeringEngineering (R0)

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