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Part of the book series: Stochastic Modelling and Applied Probability ((SMAP,volume 31))

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Abstract

Histogram rules have the somewhat undesirable property that the rule is less accurate at borders of cells of the partition than in the middle of cells. Looked at intuitively, this is because points near the border of a cell should have less weight in a decision regarding the cell’s center. To remedy this problem, one might introduce the moving window rule, which is smoother than the histogram rule. This classifier simply takes the data points within a certain distance of the point to be classified, and decides according to majority vote. Working formally, let h be a positive number.

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© 1996 Springer Science+Business Media New York

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Devroye, L., Györfi, L., Lugosi, G. (1996). Kernel Rules. In: A Probabilistic Theory of Pattern Recognition. Stochastic Modelling and Applied Probability, vol 31. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0711-5_10

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  • DOI: https://doi.org/10.1007/978-1-4612-0711-5_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6877-2

  • Online ISBN: 978-1-4612-0711-5

  • eBook Packages: Springer Book Archive

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