LINEAR ε-SUPPORT VECTOR REGRESSION DATA PERTURBATION ANALYSIS
线性ε-支持向量回归机的数据扰动分析

Support Vector Regression(SVR) is one of the important method for regression problem. As linear regression problem has a variety of applications in the real life, linear $\varepsilon$-Support Vector Regression is an object of study. Because the solution of the primal problem is our final foucus on, the is to eventual aim establish the sensitivity analysis theory for the primal problem of linear $\varepsilon$-SVR, which deals with the case of some inputs of training data perturbation problem. The expression of solution to the partial derivative via the perturbed data under some conditions, and the sensitivity analysis theorem of the primal problem of $\varepsilon$-SVR is given. Finally, some simple simulation results show that the theorem is effective.