Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499272 | Computer Methods in Applied Mechanics and Engineering | 2009 | 14 Pages |
The performance of radial basis function networks largely depends on the choice of topology i.e., location and number of centers, radius of influence, etc. Thus finding the best network is a multi-level optimization problem. It is obvious that different criteria for optimization would result in different network topologies. A systematic study is carried out to compare the most widely used root mean square error criterion for topology selection with cross-validation based methods like PRESS or PRESS-ratio. The main focus here is to find the best criterion to select RBF network topology. Based on a suite of analytical examples and crashworthiness simulation problems, it was concluded that the PRESS-based selection criterion performs the best and offers the least variation with the choice of experimental design, sampling density, and the nature of the problem.