On the Combination of Locally Optimal Pairwise Classifiers 1st Edition by Gero Szepannek, Bernd Bischl, Claus Weihs 9783540734987

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ISBN 13: 9783540734987

Author: Gero Szepannek, Bernd Bischl; Claus Weihs

If their assumptions are not met, classifiers may fail. In this paper, the possibility of combining classifiers in multi-class problems is investigated. Multi-class classification problems are split into two class problems. For each of the latter problems an optimal classifier is determined. The results of applying the optimal classifiers on the two class problems can be combined using the Pairwise Coupling algorithm by Hastie and Tibshirani (1998).

In this paper exemplary situations are investigated where the respective assumptions of Naive Bayes or the classical Linear Discriminant Analysis (LDA, Fisher, 1936) fail. It is investigated at which degree of violations of the assumptions it may be advantageous to use single methods or a classifier combination by Pairwise Coupling.

On the Combination of Locally Optimal Pairwise Classifiers 1st Table of contents:

1 Introduction

2 Pairwise Coupling

3 Implemented Methods

4 Simulation Study

5 Application to Real World Data

6 Summary

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