  The atomic cluster expansion (ACE) (Drautz, 2019) yields a highly efficient
and intepretable parameterisation of symmetric polynomials that has achieved
great success in modelling properties of many-particle systems. In the present
work we extend the practical applicability of the ACE framework to the
computation of many-electron wave functions. To that end, we develop a
customized variational Monte-Carlo algorithm that exploits the sparsity and
hierarchical properties of ACE wave functions. We demonstrate the feasibility
on a range of proof-of-concept applications to one-dimensional systems.
