E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials.

Journal: Nature communications
Published Date:

Abstract

This work presents Neural Equivariant Interatomic Potentials (NequIP), an E(3)-equivariant neural network approach for learning interatomic potentials from ab-initio calculations for molecular dynamics simulations. While most contemporary symmetry-aware models use invariant convolutions and only act on scalars, NequIP employs E(3)-equivariant convolutions for interactions of geometric tensors, resulting in a more information-rich and faithful representation of atomic environments. The method achieves state-of-the-art accuracy on a challenging and diverse set of molecules and materials while exhibiting remarkable data efficiency. NequIP outperforms existing models with up to three orders of magnitude fewer training data, challenging the widely held belief that deep neural networks require massive training sets. The high data efficiency of the method allows for the construction of accurate potentials using high-order quantum chemical level of theory as reference and enables high-fidelity molecular dynamics simulations over long time scales.

Authors

  • Simon Batzner
    John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, United States.
  • Albert Musaelian
    John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138, USA.
  • Lixin Sun
    John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, United States.
  • Mario Geiger
    École Polytechnique Fédérale de Lausanne, 1015, Lausanne, Switzerland.
  • Jonathan P Mailoa
    Robert Bosch Research and Technology Center, Cambridge, MA, 02139, USA.
  • Mordechai Kornbluth
    Robert Bosch Research and Technology Center, Cambridge, MA, 02139, USA.
  • Nicola Molinari
    John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, 02138, USA.
  • Tess E Smidt
    Computational Research Division and Center for Advanced Mathematics for Energy Research Applications, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA.
  • Boris Kozinsky
    John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, United States.