A New Sphere-Structure Multi-Class Classifier

Hyper-Sphere Multi-Class SVM (HSMC-SVM) is a kind of direct-model multi-class classifiers, and its training and testing speed are high. However, with the one-order norm soft-margin, classifying precision of HSMC-SVM is affected. In order to improve the classifying precision, least square method is introduced in HSMC-SVM. As a result, a kind of new multi-class classifiers, Least Square Hyper-Sphere Multi-Class SVM (LSHS-MCSVM), is proposed. Simultaneously, the training algorithm and decision rules of LSHS-MCSVM are discussed too. Thus the classifying theory of LSHS-MCSVM is built completely. Shown in the numeric experiments, LSHS-MCSVM excels HSMC-SVM at both training speed and classifying precision. Hence, it is suitable for the situations with lots of classification categories and large scale of training samples.