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On the rate of convergence for multi-category classification based on convex losses 被引量:4

On the rate of convergence for multi-category classification based on convex losses
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摘要 The multi-category classification algorithms play an important role in both theory and practice of machine learning.In this paper,we consider an approach to the multi-category classification based on minimizing a convex surrogate of the nonstandard misclassification loss.We bound the excess misclassification error by the excess convex risk.We construct an adaptive procedure to search the classifier and furthermore obtain its convergence rate to the Bayes rule. The multi-category classification algorithms play an important role in both theory and practice of machine learning.In this paper,we consider an approach to the multi-category classification based on minimizing a convex surrogate of the nonstandard misclassification loss.We bound the excess misclassification error by the excess convex risk.We construct an adaptive procedure to search the classifier and furthermore obtain its convergence rate to the Bayes rule.
出处 《Science China Mathematics》 SCIE 2007年第11期1529-1536,共8页 中国科学:数学(英文版)
基金 This work was partially supported by the Research Foundation for Doctor Programme (Grant No.20060512001)
关键词 MISCLASSIFICATION ERROR CONSISTENCY CONVERGENCE rate misclassiflcation error consistency convergence rate
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