|Title: Approximation with neural networks: Between local and global approximation Proceedings of the 1995 International Conference on Neural Networks|
|Written by: Smagt P van der, Groen F|
|on pages: II:1060-II:1064|
Note: (invited paper)
Abstract: We investigate neural network based approximation methods. These methods depend on the locality of the basis functions. After discussing local and global basis functions, we propose a a multi-resolution hierarchical method. The various resolutions are stored at various levels in a tree. At the root of the tree, a global approximation is kept; the leafs store the learning samples themselves. Intermediate nodes store intermediate representations. In order to find an optimal partitioning of the input space, self-organising maps (SOM's) are used. The proposed method has implementational problems reminiscent of those encountered in many-particle simulations. We will investigate the parallel implementation of this method, using parallel hierarchical methods for many-particle simulations as a starting point.