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CRANFIELD UNIVERSITY Eleni Anthippi Chatzimichali ...

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The “one-against-all” approach (Bottou et al., 1994) is the earliest and simplest<br />

method proposed, which involves determining how well a sample is modelled by each<br />

class individually, and subsequently selecting the class it is modelled-by at its best<br />

(Foody and Mathur, 2004; Brereton and Lloyd, 2009). Thus, for a class problem,<br />

binary classifiers are created and trained, one for each given class (Karatzoglou et al.,<br />

2006). The “one-against-all” approach is based on a “winner-takes-all” strategy (Duan<br />

and Keerthi, 2005). On the contrary, the most recent “one-against-one” (Kressel,<br />

1999) approach constructs several binary SVM classifiers for each available pairwise<br />

combination of classes (Hsu and Lin, 2002). Subsequently, the results of all individual<br />

classifiers are aggregated using a voting mechanism such as “majority vote” (Duan<br />

and Keerthi, 2005). In this case,<br />

SVM models are created, one for each<br />

pairwise combination of classes. According to Hsu and Lin (2002), this approach<br />

verily generates robust outcome when employed with SVMs.<br />

1.5.3 Ensemble Models<br />

A major problem in multivariate classification is that often standalone classifiers may<br />

achieve very high classification accuracies in the training process, however, their<br />

generalisation performance (test performance) when applied to new unseen data may<br />

greatly vary. Therefore, instead of using only a single final model, the concept of a<br />

classification ensemble is based on the fusion of many diverse yet accurate models to<br />

obit a range of predictions (Dietterich, 2000; Westerhuis et al., 2008). Thus, this<br />

approach aims to improve the overall classification accuracy, and provide more stable<br />

and accurate results. An ensemble can be constructed using any type of classifier such<br />

as PLS-DA and SVMs.<br />

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