A new math tool helps understand complex systems with hidden parts

This paper introduces a new mathematical way to analyze systems where some parts are hidden or change over time. It helps figure out the true 'depth' of a system's memory, even when you can only see a small part of it.

Understanding how complex systems behave when you can only observe fragments is a fundamental problem in many fields, from biology to finance. This new mathematical approach provides a more precise way to model and predict these systems. It could help researchers build more accurate models for things like how diseases spread or how markets react to certain events, even when key information is missing.