A Discussion on the Application of the Smoothing Function of the Plus Function
In this paper, we analyze the smooth approximation property of a smoothing function of plus function. And these smooth approximation properties of the smoothing function can be applied to the complementarity problems, penalty functions, optimal control, and support vector machines. Thus, we can use smooth method to solve these problems, and these smooth approximation properties have a good effect in proving the convergence of the smooth method. Subsequently, the application of these good properties in solving practical problems is given.
KeywordsPlus function Smoothing function Gradient consistency
- 5.Xiong, J.Z., Hu, J.L., Yuan, H.Q., Hu, T.M., Li, G.M.: Research on a new class of smoothing support vector machines. Acta Electr. Sin. 35(2), 366–370 (2007). (in Chinese)Google Scholar
- 6.Yuan, Y.B., Yan, J., Xu, C.X.: Polynomial smooth support vector machine. Chin. J. Comput. 28(1), 9–17 (2005). (in Chinese)Google Scholar