Annotation: Currently the concepts of Event Driven Architecture and Machine Learning become widely used in the information systems. In the paper the authors propose an approach to combine these two concepts to be able to overcome logical complexity in the design of the information systems based on Event Driven Architecture. The paper considers some machine learning method for the component of the system based on this architecture using rigorous mathematical formulations. In particular, a problem for the method correctness verification is studied. The algorithms and steps for the computer experiments are introduced in details. Finally, further research directions are proposed.