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Neural Polarization: Toward Electron Density for Molecules by Extending Equivariant Networks

Chemical Physics 2025-08-26 v1 Artificial Intelligence Machine Learning

Abstract

Recent SO(3)-equivariant models embedded a molecule as a set of single atoms fixed in the three-dimensional space, which is analogous to a ball-and-stick view. This perspective provides a concise view of atom arrangements, however, the surrounding electron density cannot be represented and its polarization effects may be underestimated. To overcome this limitation, we propose \textit{Neural Polarization}, a novel method extending equivariant network by embedding each atom as a pair of fixed and moving points. Motivated by density functional theory, Neural Polarization represents molecules as a space-filling view which includes an electron density, in contrast with a ball-and-stick view. Neural Polarization can flexibly be applied to most type of existing equivariant models. We showed that Neural Polarization can improve prediction performances of existing models over a wide range of targets. Finally, we verified that our method can improve the expressiveness and equivariance in terms of mathematical aspects.

Keywords

Cite

@article{arxiv.2406.00441,
  title  = {Neural Polarization: Toward Electron Density for Molecules by Extending Equivariant Networks},
  author = {Bumju Kwak and Jeonghee Jo},
  journal= {arXiv preprint arXiv:2406.00441},
  year   = {2025}
}
R2 v1 2026-06-28T16:49:35.925Z