The best data fitting using by modified generalized Laguerre polynomials and particle swarm optimization algorithm

In this paper, for the given data in the plane, we construct a curve of degree M by using the linear combination of modified generalized Laguerre polynomials. These polynomials have two parameters Alpha and Beta. First, we show that the least squares error of this constructed curve for fitting the given data, depends on the parameters of its polynomials. Then, in order to find the best parameters that minimize the least squares error, we use the particle swarm optimization algorithm. The presented examples show the advantage of the proposed method.

کلیدواژه ها:

curve fitting ، particle swarm optimization algorithm ، modified generalized Laguerre polynomials