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GENERALIZATION PERFORMANCE OF MULTI-CATEGORY KERNEL MACHINES——In Memory of Professor Sun Yongsheng

GENERALIZATION PERFORMANCE OF MULTI-CATEGORY KERNEL MACHINES——In Memory of Professor Sun Yongsheng
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摘要 Support vector machines are originally designed for binary classification. How to effectively extend it for multi-class classification is still an on-going research issue. In this paper, we consider kernel machines which are natural extensions of multi-category support vector machines originally proposed by Crammer and Singer. Based on the algorithm stability, we obtain the generalization error bounds for the kernel machines proposed in the paper. Support vector machines are originally designed for binary classification. How to effectively extend it for multi-class classification is still an on-going research issue. In this paper, we consider kernel machines which are natural extensions of multi-category support vector machines originally proposed by Crammer and Singer. Based on the algorithm stability, we obtain the generalization error bounds for the kernel machines proposed in the paper.
出处 《Analysis in Theory and Applications》 2007年第2期188-195,共8页 分析理论与应用(英文刊)
基金 Supported in part by the Specialized Research Fund for the Doctoral Program of Higher Education under grant 20060512001.
关键词 Kernel machine uniform stability generalization error Kernel machine, uniform stability, generalization error
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参考文献2

  • 1Di-Rong Chen,Dao-Hong Xiang.The consistency of multicategory support vector machines[J].Advances in Computational Mathematics (-).2006(1-4)
  • 2Koby Crammer,Yoram Singer.On the Learnability and Design of Output Codes for Multiclass Problems[J].Machine Learning (-).2002(2-3)

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