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支持向量分类方法理论基础的改进
引用本文:张春华,田英杰,张跃峰.支持向量分类方法理论基础的改进[J].运筹学学报,2004,8(2):66-71.
作者姓名:张春华  田英杰  张跃峰
作者单位:中国农业大学经济管理学院,北京,100083
基金项目:This work is supported by the National Natural Science Foundation of China (No. 10371131).
摘    要:支持向量机是通过求解对偶问题来解决原始问题的.针对线性决策函数f(x)=(w·x)+b,我们指出了其原有的逻辑系统中的错误,并通过严格的证明,对其理论基础作了改进.而且,对于阈值b,我们给出了一个新的简洁计算公式.

关 键 词:线性决策函数  逻辑系统  阈值  运筹学  支持向量分类  Wolfe对偶  KKT条件

An Improvement to the Theoretical Foundation of Support Vector Classification
Abstract.An Improvement to the Theoretical Foundation of Support Vector Classification[J].OR Transactions,2004,8(2):66-71.
Authors:Abstract
Abstract:The basic Support Vector Machine for Classification solves the primal problem by solving the dual problem. Considering the linear decision function f(x)= (w·x) + b, an essential drawback in its logic system is pointed out and a strict theoretical foundation is established. Furthermore, for computing the threshold b, a new compact formula is proposed first time.
Keywords:OR  Support Vector Classification  Wolfe Dual  KKT conditions  
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