Learning Inter-Atomic Potentials without Explicit Equivariance

Ahmed A. Elhag, Arun Raja, Alex Morehead, Samuel M. Blau, Garrett M. Morris +1 more
9/25/2025
cs.LGcs.AIq-bio.BM

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Abstract

Accurate and scalable machine-learned inter-atomic potentials (MLIPs) are essential for molecular simulations ranging from drug discovery to new material design. Current state-of-the-art models enforce roto-translational symmetries through equivariant neural network architectures, a hard-wired inductive bias that can often lead to reduced flexibility, computational efficiency, and scalability. In this work, we introduce TransIP: Transformer-based Inter-Atomic Potentials, a novel training paradigm for interatomic potentials achieving symmetry compliance without explicit architectural constraints. Our approach guides a generic non-equivariant Transformer-based model to learn SO(3)-equivariance by optimizing its representations in the embedding space. Trained on the recent Open Molecules (OMol25) collection, a large and diverse molecular dataset built specifically for MLIPs and covering different types of molecules (including small organics, biomolecular fragments, and electrolyte-like species), TransIP effectively learns symmetry in its latent space, providing low equivariance error. Further, compared to a data augmentation baseline, TransIP achieves 40% to 60% improvement in performance across varying OMol25 dataset sizes. More broadly, our work shows that learned equivariance can be a powerful and efficient alternative to augmentation-based MLIP models.

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Cite this paper

@article{elhag2025learning,
  title  = {Learning Inter-Atomic Potentials without Explicit Equivariance},
  author = {Ahmed A. Elhag and Arun Raja and Alex Morehead and Samuel M. Blau and Garrett M. Morris and Michael M. Bronstein},
  year   = {2025},
  eprint = {2510.00027},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2510.00027v2}
}

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