A general formulation of 2nd-order Polynomial Smooth Support Vector Machines

A class of 2nd-order smooth polynomial function is derived in a common interval. With such functions, a general formulation, 2nd-order Polynomial Smooth Support Vector Machine (2PSSVM) is developed. This general formulation includes all 2nd-order polynomial smooth support vector machines. The research shows that the previous 2nd-order polynomial smooth support vector machine is a special case of this general formulation. The convergence of this general formulation is also proved. The experiments show that this general formulation yields the best results in symmetric intervals. Hence this paper has solved the problem for a general formulation of 2nd-order polynomial smooth support vector machines.