Traditionally, interatomic potentials assume local bond formation supplemented by long-range electrostatic interactions when necessary.This ignores intermediate-range multiatom interactions that arise from the relaxation of the electronic structure.Here, we present click here the multilayer atomic cluster expansion (ml-ACE) that includes collective, semi-local multiatom interactions naturally within its remit.We demonstrate that ml-ACE significantly improves fit accuracy and efficiency compared to a local expansion on selected examples and read more provide physical intuition to understand this improvement.