Abstract

We discuss a strategy for polychotomous classification that involves coupling the estimating class probabilities for each pair of classes, and estimates together. The coupling model is similar to the Bradley-Terry method for paired comparisons. We study the nature of the class probability estimates that arise, and examine the performance of the procedure in real and simulated data sets. Classifiers used include linear discriminants, nearest neighbors, adaptive nonlinear methods and the support vector machine.

Keywords

MathematicsPairwise comparisonSupport vector machineCoupling (piping)Class (philosophy)Nonlinear systemPattern recognition (psychology)Artificial intelligenceStatisticsMachine learningComputer science

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Publication Info

Year
1998
Type
article
Volume
26
Issue
2
Citations
1290
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Closed

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Trevor Hastie, Robert Tibshirani (1998). Classification by pairwise coupling. The Annals of Statistics , 26 (2) . https://doi.org/10.1214/aos/1028144844

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DOI
10.1214/aos/1028144844