关键词: 非线性回归, 核映射, 一类分类, 超平面

Abstract:

A new method for nonlinear regression is proposed based on oneclassification in this paper, which can  uncover the relation among oneclass classification, binary classification and regression. The method first obtains two sets based on the training data with the response variable shifted up and down by ε, and then, computes respectively a sphere shaped decision boundary with minimal volume around every set of objects, finally gets the regression function by computing the maxmargin which separates the plane and bisects the two centers. The results of two simulation experiments show that the proposed method is feasible and valid.

Key words: nonlinear regression;kernel mapping;oneclass classification;hyper plane