Extended Data Fig. 1: What state variables describe these dynamical systems?.
From: Automated discovery of fundamental variables hidden in experimental data

What state variables describe these dynamical systems? Identifying state variables from raw observation data is a precursor step to discovering physical laws. The key challenge is to figure out how many variables will give a complete and non-redundant description of the system’s states, what are the candidate variables, and how the variables are dependent on each other. Our work studies how to retrieve possible set of state variables from data distributions non-linearly embedded in the ambient space.