计算机应用与软件
計算機應用與軟件
계산궤응용여연건
Computer Applications and Software
2015年
8期
47-51
,共5页
半监督支持向量机%三次样条函数%铰链光滑%分类
半鑑督支持嚮量機%三次樣條函數%鉸鏈光滑%分類
반감독지지향량궤%삼차양조함수%교련광활%분류
Semi-supervised SVM%Cubic spline function%Hinge smooth%Classification
针对半监督支持向量分类优化中的非凸非光滑化问题,建立光滑半监督支持向量机模型,提出基于分段多项式函数和插值思想构造一个新的三次样条光滑函数,从而可以更好地逼近对半监督支持向量机中非光滑的对称铰链损失函数部分,构造出基于此光滑函数的具有二阶光滑的半监督支持向量机模型。进而可以用优化中的光滑算法来求解该模型,并分析所构造的三次样条函数对对称铰链损失函数的逼近精度。通过数据实验证明所构造的新的光滑半监督模型具有较好的分类效果和效率。
針對半鑑督支持嚮量分類優化中的非凸非光滑化問題,建立光滑半鑑督支持嚮量機模型,提齣基于分段多項式函數和插值思想構造一箇新的三次樣條光滑函數,從而可以更好地逼近對半鑑督支持嚮量機中非光滑的對稱鉸鏈損失函數部分,構造齣基于此光滑函數的具有二階光滑的半鑑督支持嚮量機模型。進而可以用優化中的光滑算法來求解該模型,併分析所構造的三次樣條函數對對稱鉸鏈損失函數的逼近精度。通過數據實驗證明所構造的新的光滑半鑑督模型具有較好的分類效果和效率。
침대반감독지지향량분류우화중적비철비광활화문제,건립광활반감독지지향량궤모형,제출기우분단다항식함수화삽치사상구조일개신적삼차양조광활함수,종이가이경호지핍근대반감독지지향량궤중비광활적대칭교련손실함수부분,구조출기우차광활함수적구유이계광활적반감독지지향량궤모형。진이가이용우화중적광활산법래구해해모형,병분석소구조적삼차양조함수대대칭교련손실함수적핍근정도。통과수거실험증명소구조적신적광활반감독모형구유교호적분류효과화효솔。
For the problem of non-convex non-smooth in semi-supervised support vector classification optimisation, we built a smooth semi-supervised support vector machine ( SVM ) model, and proposed to construct a new cubic spline smooth function based on piecewise polynomial function and interpolation idea, so as to better approach the non-smooth symmetric hinge loss function part in semi-supervised SVM, and construct the semi-supervised SVM model which is based on this smooth function and has two-order smooth.Furthermore the smooth algorithm in optimisation can be used to solve the model.We also analyse the approaching accuracy of the constructed cubic spline function on symmetric hinge loss function.Through data experiment it is proved that the built new smooth semi-supervised SVM model has better classification effect and efficiency.