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The Formulation of Support Vector Machine

 

In this chapter the idea of using Support Vector Machines in pattern classification is presented. The formulation of SVM is constructed starting from a simple linear maximum margin classifier. The importance of capacity control to avoid over fitting discussed. Finally the claim that SVM training achieves the lowest necessary capacity for a given classification task will be investigated.

A general two-class pattern classification problem is posed as follows :

The performance of the classifier is measured in terms of classification error which is defined in Eqn. gif.

  equation70





K.K. Chin
Thu Sep 10 11:05:30 BST 1998