Analysis of the BSB Model Dynamics Using Control Theory

摘要

A novel method to analyze the dynamics of the BSB (Brain State in a Box) model is presented. The method is able to determine if a proposed interconnection matrix generated with the CMM rule can achieve the desired behavior, and what are the parameters that should be changed in case of obtaining an incorrect final rest point. By means of an application of the techniques used in control system theory it is possible to evaluate the evolution of each of the training points individually and also to establish what are the points of the training set that are competing between them. So, this kind of analysis can be useful not only as a medium to modify the learning rule to obtain a better performance, but also as a tool to understand the limitations that the initial learning rule has. As an example of the application of this tool some simulated experiments were carried out in order to show the effectiveness of the proposed method.