Recent years have seen a significant
increase in the
use of machine
intelligence for predicting the electronic structure, molecular force
fields, and physicochemical properties of various condensed systems.
However, substantial challenges remain in developing a comprehensive
framework capable of handling a wide range of atomic compositions
and thermodynamic conditions. This perspective discusses potential
future developments in liquid-state theories leveraging recent advancements
in functional machine learning. By harnessing the strengths of theoretical
analysis and machine learning techniques including surrogate models,
dimension reduction, and uncertainty quantification, we envision that
liquid-state theories will gain significant improvements in accuracy,
scalability, and computational efficiency, enabling their broader
applications across diverse materials and chemical systems.