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Complete Neural Electronic Initialization Accelerates Materials DFT

arXiv 2609.21759 ↗First posted 18 Sep 2026cond-mat.mtrl-sci cs.LG physics.comp-phcited by 0

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Abstract (arXiv)

We present the first complete machine learning method for accelerating plane-wave density functional theory (DFT) in materials under the projector augmented wave (PAW) formalism. We formalize seven criteria that a Complete Neural Electronic Initializer must satisfy for practical end-to-end PAW DFT acceleration. Applying these to prior work reveals two structure-dependent components, augmentation occupancies and spin initialization, whose absence prevents existing acceleration methods from providing complete reference-free initialization. We show that omitting these components can eliminate or reverse the acceleration obtained via models that only predict the smooth valence density. We satisfy the missing requirements by introducing AugNet, a general equivariant model for PAW augmentation occupancies, and the first general spin density model for materials, which predicts the smooth spin-difference density and spin-difference PAW augmentation occupancies using predicted magnetic moments to constrain the global magnetic state. Combined with existing valence density models, our full method satisfies all seven criteria and forms a fully reference-free electronic initializer for materials DFT, requiring no electronic quantities from a converged target calculation. We show that perfect initialization could cut PAW DFT wall time by 40-52%, and our method recovers up to 62% of this saving, reducing end-to-end DFT wall time by up to ~25% on unseen structures while preserving converged energies.

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References · 15

  1. 2021E(3)-Equivariant Graph Neural Networks for Data-Efficient and Accurate Interatomic Potentialscited by 708
  2. 2022MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fieldscited by 474
  3. 2024Orb: A Fast, Scalable Neural Network Potentialcited by 66
  4. 2024Open Materials 2024 (OMat24) Inorganic Materials Dataset and Modelscited by 52
  5. 2024The Importance of Being Scalable: Improving the Speed and Accuracy of Neural Network Interatomic Potentials Across Chemical Domainscited by 40
  6. 2021Equivariant graph neural networks for fast electron density estimation of molecules, liquids, and solidscited by 25
  7. 2023Higher-Order Equivariant Neural Networks for Charge Density Prediction in Materialscited by 13
  8. 2023Equivariant Neural Operator Learning with Graphon Convolutioncited by 11
  9. 2025High-order Equivariant Flow Matching for Density Functional Theory Hamiltonian Predictioncited by 11
  10. 2025ELECTRA: A Cartesian Network for 3D Charge Density Prediction with Floating Orbitalscited by 10
  11. 2024Gaussian Plane-Wave Neural Operator for Electron Density Estimationcited by 9
  12. 2024A Recipe for Charge Density Predictioncited by 9
3 more
  1. 2025Learning from the electronic structure of molecules across the periodic tablecited by 7
  2. 2026Transferable SCF-Acceleration through Solver-Aligned Initialization Learningcited by 3
  3. 2026Global Plane Waves From Local Gaussians: Periodic Charge Densities in a Blinkcited by 2

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