Abstract:

The traditional leaveoneout method confronts the difficulty of large calculation scale and is not applicable to a largescale complex system. Learning from the Pareto law in the economic science, sample points which play dominant roles in the global errors are chose as key points. Accordingly, a new leaveoneout method is proposed to improve the traditional one. To obtain the shape parameter of the radial basis function, the method of the optimal parameter based on the Pareto law for radial basis function approximation modeling is proposed by combining the new leaveoneout method and shape parameter optimization. Numerical tests show that the method is accurate and efficient, and deserves to be promoted.