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A Bound on Kappa-Error Diagrams for Analysis of Classifier Ensembles
March 2013 (vol. 25 no. 3)
pp. 494-501
Ludmila I. Kuncheva, Bangor University, Bangor
Kappa-error diagrams are used to gain insights about why an ensemble method is better than another on a given data set. A point on the diagram corresponds to a pair of classifiers. The x-axis is the pairwise diversity (kappa), and the y-axis is the averaged individual error. In this study, kappa is calculated from the 2\times2 correct/wrong contingency matrix. We derive a lower bound on kappa which determines the feasible part of the kappa-error diagram. Simulations and experiments with real data show that there is unoccupied feasible space on the diagram corresponding to (hypothetical) better ensembles, and that individual accuracy is the leading factor in improving the ensemble accuracy.
Index Terms:
Classificagtion,Diversity methods,Image color analysis,Decision trees,Mathematical model,Feature extraction,Kappa-error diagrams,limits,Classifier ensembles,kappa-error diagrams,ensemble diversity
Ludmila I. Kuncheva, "A Bound on Kappa-Error Diagrams for Analysis of Classifier Ensembles," IEEE Transactions on Knowledge and Data Engineering, vol. 25, no. 3, pp. 494-501, March 2013, doi:10.1109/TKDE.2011.234
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