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Constraints in Weighted Averaging

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Multiple Classifier Systems (MCS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 5519))

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Abstract

Weighted averaging of classifier outputs is used in many MCSs, yet is still not well understood. Several empirical studies have investigated the effect that non-negativity and sum-one constraints have on the error rate of weighted averaging rules, but there is little theory available to understand the results.

In this paper we study how constraints on the weights affect the location of the decision boundary of a MCS using weighted averaging. This allows us to explain many of the empirical findings, and suggest guidelines for when the application of constraints may or may not be appropriate. We also consider how these results relate to the analytical framework first proposed by Tumer and Ghosh [5].

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References

  1. Breiman, L.: Stacked Regressions. Machine Learning 24, 49–64 (1996)

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  5. Tumer, K., Ghosh, J.: Analysis of Decision Boundaries in Linearly Combined Neural Classifiers. Pattern Recognition 29, 341–348 (1996)

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© 2009 Springer-Verlag Berlin Heidelberg

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Tomas, A. (2009). Constraints in Weighted Averaging. In: Benediktsson, J.A., Kittler, J., Roli, F. (eds) Multiple Classifier Systems. MCS 2009. Lecture Notes in Computer Science, vol 5519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02326-2_36

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  • DOI: https://doi.org/10.1007/978-3-642-02326-2_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02325-5

  • Online ISBN: 978-3-642-02326-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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