Local While many different forms of LMFs have been proposed in the literature, and some exact physical constraints are known for LMFs, most of the latter only pertain to the high-density or asymptotic limits and do not provide general guidelines to the shape of an LMF in the valence region that is most important for chemistry. Here we have therefore used a data-driven approach, i.e., we have constructed the LMF as a relatively shallow neural network (n-LMF). Replacing only the t-LMF in our previous successful