Deep learning has the potential to accelerate atomistic simulations, but existing models suffer from a lack of robustness, sample efficiency, and accuracy. Simon Batzner, Albert Musaelian, and Boris Kozinsky outline how exploiting the symmetry of Euclidean space offers a new way to address these challenges.
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References
Batzner, S. et al. E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials. Nat. Commun. 13, 2453 (2022).
Musaelian, A. et al. Learning local equivariant representations for large-scale atomistic dynamics. Nat. Commun. 14, 579 (2023).
Fu, X. et al. Forces are not enough: Benchmark and critical evaluation for machine learning force fields with molecular simulations. Trans. Mach. Learn. Res. https://openreview.net/forum?id=A8pqQipwkt (2023).
Batatia, I. et al. The design space of E(3)-equivariant atom-centered interatomic potentials. Preprint at https://arxiv.org/abs/2205.06643 (2022).
Musaelian, A., Johansson, A., Batzner, S. & Kozinsky, B. Scaling the leading accuracy of deep equivariant models to biomolecular simulations of realistic size. Preprint at https://arxiv.org/abs/2304.10061 (2023).
Gasteiger, J., Groß, J. & Günnemann, S. Directional message passing for molecular graphs. In 2020 International Conference on Learning Representations (ICLR, 2020).
Thomas, N. et al. Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds. Preprint at https://arxiv.org/abs/1802.08219 (2018).
Weiler, M., Geiger, M., Welling, M., Boomsma, W. & Cohen, T. S. 3D steerable CNNs: Learning rotationally equivariant features in volumetric data. In 32nd Conference on Neural Information Processing Systems (Association for Computing Machinery, 2018).
Zhang, L., Han, J., Wang, H., Car, R. & Weinan, E. Deep potential molecular dynamics: a scalable model with the accuracy of quantum mechanics. Phys. Rev. Lett. 120, 143001 (2018).
Vandenhaute, S., Cools-Ceuppens, M., DeKeyser, S., Verstraelen, T. & Van Speybroeck, V. Machine learning potentials for metal-organic frameworks using an incremental learning approach. npj Comput. Mater. 9, 19 (2023).
Acknowledgements
The authors are indebted to many contributions from A. Johansson, L. Sun, M. Geiger, and T. Smidt in developing the ideas and their software implementation.
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Batzner, S., Musaelian, A. & Kozinsky, B. Advancing molecular simulation with equivariant interatomic potentials. Nat Rev Phys 5, 437–438 (2023). https://doi.org/10.1038/s42254-023-00615-x
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DOI: https://doi.org/10.1038/s42254-023-00615-x