The kernel of interval grey number is most likely the real number,which can be used to represent whitenization value of interval grey number.A novel method for calculating kernel of interval grey number is constructed...The kernel of interval grey number is most likely the real number,which can be used to represent whitenization value of interval grey number.A novel method for calculating kernel of interval grey number is constructed based on the geometric barycenter of whitenization weight function in the two-dimensional coordinate plane,and the calculation of kernel is converted to the calculation of barycenter in geometric figures.The method fully considers the effect of all information contained in whitenization weight function on the calculation result of kernel,and is the extension and perfection of the existing methods in the scope of application.展开更多
对支持向量机(Twin Support Vector Machine,TWSVM)的优化思想源于基于广义特征值近似支持向量机(ProximalSVM based on Generalized Eigenvalues,GEPSVM)。该算法将传统SVM问题分解为两个凸规划问题,使得训练速度缩减到原来的1/4。对TW...对支持向量机(Twin Support Vector Machine,TWSVM)的优化思想源于基于广义特征值近似支持向量机(ProximalSVM based on Generalized Eigenvalues,GEPSVM)。该算法将传统SVM问题分解为两个凸规划问题,使得训练速度缩减到原来的1/4。对TWSVM做了修正,基于新的优化准则设计了一种特殊TWSVM(GTWSVM),在此基础上,提出了快速GTWSVM(FGTWSVM),其将GTWSVM转换为无约束凸规划问题求解。该算法在保证得到与TWSVM相当的分类性能以及较快的计算速度的同时,还减少了输入空间的特征数以及内存占用。对于非线性问题,FGTWSVM可以减少核函数数目。展开更多
应用核函数度量的紧致性和分离性,给出了一种新的聚类有效性指标KKW,由KKW指标得到最优聚类数并用于修正核函数模糊聚类算法(MKFCM),由于经过了修正核函数的映射,使原来没有显现的特征突显出来。用MKFCM对Wine和glass数据集进行聚类,每...应用核函数度量的紧致性和分离性,给出了一种新的聚类有效性指标KKW,由KKW指标得到最优聚类数并用于修正核函数模糊聚类算法(MKFCM),由于经过了修正核函数的映射,使原来没有显现的特征突显出来。用MKFCM对Wine和glass数据集进行聚类,每一类的聚类正确度大于90%;对于缺失数据的Wisconsin Breast Cancer数据,错分率为4.72%。该聚类方法在性能上比经典聚类算法有所改进,具有更快的收敛速度以及较高的准确度。仿真实验的结果证实了修正核聚类方法的可行性和有效性。展开更多
基金Supported by the National Natural Science Foundation of China(71271226,70971064,71101159)the Humanities and Social Science Foundation of Ministry of Education(11YJC630273,12YJC630140)+4 种基金the Program for Chongqing Innovation Team in University(KJTD201313)the Science and Technology Research Projects of Chongqing Education Commission(KJ120706)the Open Foundation of Chongqing Key Laboratory of Electronic Commerce and Supply Chain System(2012ECSC0101)the Special Fund of Chongqing Key Laboratory of Electronic Commerce and Supply Chain System(2012ECSC0217)the Chongqing City Board of Education Science and Technology Research Projects(1202010)
文摘The kernel of interval grey number is most likely the real number,which can be used to represent whitenization value of interval grey number.A novel method for calculating kernel of interval grey number is constructed based on the geometric barycenter of whitenization weight function in the two-dimensional coordinate plane,and the calculation of kernel is converted to the calculation of barycenter in geometric figures.The method fully considers the effect of all information contained in whitenization weight function on the calculation result of kernel,and is the extension and perfection of the existing methods in the scope of application.
文摘对支持向量机(Twin Support Vector Machine,TWSVM)的优化思想源于基于广义特征值近似支持向量机(ProximalSVM based on Generalized Eigenvalues,GEPSVM)。该算法将传统SVM问题分解为两个凸规划问题,使得训练速度缩减到原来的1/4。对TWSVM做了修正,基于新的优化准则设计了一种特殊TWSVM(GTWSVM),在此基础上,提出了快速GTWSVM(FGTWSVM),其将GTWSVM转换为无约束凸规划问题求解。该算法在保证得到与TWSVM相当的分类性能以及较快的计算速度的同时,还减少了输入空间的特征数以及内存占用。对于非线性问题,FGTWSVM可以减少核函数数目。
文摘应用核函数度量的紧致性和分离性,给出了一种新的聚类有效性指标KKW,由KKW指标得到最优聚类数并用于修正核函数模糊聚类算法(MKFCM),由于经过了修正核函数的映射,使原来没有显现的特征突显出来。用MKFCM对Wine和glass数据集进行聚类,每一类的聚类正确度大于90%;对于缺失数据的Wisconsin Breast Cancer数据,错分率为4.72%。该聚类方法在性能上比经典聚类算法有所改进,具有更快的收敛速度以及较高的准确度。仿真实验的结果证实了修正核聚类方法的可行性和有效性。
