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支持向量机子问题的算法研究
引用本文:付三平,于静,韩丛英. 支持向量机子问题的算法研究[J]. 山东理工大学学报:自然科学版, 2012, 0(1): 23-25
作者姓名:付三平  于静  韩丛英
作者单位:山东科技大学信息科学与工程学院
基金项目:国家自然科学基金资助项目(10971122,11101420);山东省自然科学基金资助项目(Y2008A01)
摘    要:求解支持向量机大规模分类问题时,系数矩阵的存储和计算是非常困难的.借助分解技术,把问题分解成多个维数较低的二次规划问题.利用增广拉格朗日函数将子问题转化成只含有界约束的形式,再用修正子空间有限记忆BFGS方法解子问题,节省了存储空间,提高了求解效率.

关 键 词:二次规划  支持向量机  界约束  有限记忆BFGS

The algorithm research of subproblems of the support vector machines
FU San-ping,YU Jing,HAN Cong-ying. The algorithm research of subproblems of the support vector machines[J]. Journal of Shandong University of Technology:Science and Technology, 2012, 0(1): 23-25
Authors:FU San-ping  YU Jing  HAN Cong-ying
Affiliation:(College of Information Science and Engineering,Shandong University of Science and Technology,Qingdao 266590,China)
Abstract:The storage and computing of coefficient matrix were very difficult for solving large-scale SVMs.At each decomposition iteration,the problem was split up into smaller quadratic programming subproblems.The augmented lagrangian scheme was used to transform the subproblems into problems only with a set of bound constrains,then the subproblems were solved by modified subspace limited memory BFGS algorithm.This method could save storage space considerably and improve the efficiency.
Keywords:quadratic programming  support vector machines  bound constraint  limited memory BFGS
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