It is of interest to us whether the physical interpretation of strong correlation, as substantiated by the statistical meaning of the cumulants, can be bridged with chemical notions (in addition to aromaticity and antiaromaticiy) or other observables of interest. Another important challenge that we are currently exploring involves obtaining approximate but qualitatively informative 1-and 2-RDMs from scalable models such as quantum Monte Carlo or selected Configuration Interaction. This will enable reliable assessments of the nature of electron correlations in larger systems of interest to the chemistry and physics communities.