Abstract

The Ornstein-Zernike framework provides an elegant route for solving the inverse problem of determining a pairwise interaction potential for a simple liquid given its structure. However, in order to realise the potential of the formalism superior closure relationships are required. Current approximate closure relationships have been shown to have restricted universality and give rise to thermodynamic inconsistencies. In this work rather than attempting to analytically derive a new closure relationship we return to the point of the approximation and investigate whether machine learning can be used to infer a universal closure for the framework directly from simulation data. We show that this is a fruitful approach that allows for improved inversion performance.