Learning Qualitative Models for Systems with Multiple Operating Regions

The problem of learning qualitative models of physical systems from observations of its behaviour has been addressed by several researchers in recent years. Most current techniques limit themselves to learning a single qualitative di erential equation to model the entire system. However, many systems have several qualitative differential equations underlying them. In this paper, we present an approach to learning the models for such systems. Our technique divides the behaviours into segments, each of which can be explained by a single qualitative di erential equation. The qualitative model for each segment can be generated using any of the existing techniques for learning a single model. We show the results of applying our technique to several examples and demonstrate that it is e ective.