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arXiv · 2406.03327

Neural density functionals: Local learning and pair-correlation matching

Florian Sammüller·Matthias Schmidt
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Abstract

Recently Dijkman et al. (arXiv:2403.15007) proposed training classical neural density functionals via bulk pair-correlation matching. We show their method to be an efficient regularizer for neural functionals based on local learning of inhomogeneous one-body direct correlations [Samm\"uller et al., Proc. Natl. Acad. Sci. 120, e2312484120 (2023), 10.1073/pnas.2312484120]. While Dijkman et al. demonstrated pair-correlation matching of a global neural free energy functional, we argue in favor of local one-body learning for flexible neural modelling of the full Mermin-Evans density functional map. Using spatial localization gives access to accurate neural free energy functionals, including convolutional neural networks, that transcend the training box.

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Florian Sammüller, Matthias Schmidt. 2024-06-05. Neural density functionals: Local learning and pair-correlation matching. https://doi.org/10.1103/physreve.110.l032601

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