A modular system which improves the topological maps

A system which permits the cooperation of a linear network with a topological map (TM) is proposed. It allows drastic reduction of the computing time for the TM. It is shown that the TM can be expressed as an adaptive gradient algorithm for the minimization of a cost function. Then, to train the hybrid architecture, new cost functions and algorithms are proposed. Convergence issues are discussed which allow considerations of generic problems in the general framework of multimodule architectures, and solutions are proposed. Some tests which illustrate the behavior and performance of the algorithms are presented