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More About Entropy

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Principles of Data Mining

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

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Abstract

This chapter returns to the subject of the entropy of a training set. It explains the concept of entropy in detail using the idea of coding information using bits. The important result that when using the TDIDT algorithm information gain must be positive or zero is discussed, followed by the use of information gain as a method of feature reduction for classification tasks.

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Notes

  1. 1.

    The \(\log_{2}\) function is defined in Appendix A for readers who are unfamiliar with it.

References

  1. McSherry, D., & Stretch, C. (2003). Information gain (University of Ulster Technical Note).

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  2. Noordewier, M. O., Towell, G. G., & Shavlik, J. W. (1991). Training knowledge-based neural networks to recognize genes in DNA sequences. In Advances in neural information processing systems (Vol. 3). San Mateo: Morgan Kaufmann.

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Bramer, M. (2016). More About Entropy. In: Principles of Data Mining. Undergraduate Topics in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-7307-6_10

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  • DOI: https://doi.org/10.1007/978-1-4471-7307-6_10

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-7306-9

  • Online ISBN: 978-1-4471-7307-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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