mlsanityData to 14 Oct 2026

Accurate and scalable exchange-correlation with deep learning

arXiv 2506.14665 ↗First posted 17 Jun 2025physics.chem-ph cs.AI cs.CEcited by 8

Not on the map. Why?

Abstract (arXiv)

Density Functional Theory (DFT) underpins much of modern computational chemistry and materials science. Yet, the reliability of DFT-derived predictions of experimentally measurable properties remains fundamentally limited by the need to approximate the unknown exchange-correlation (XC) functional. The traditional paradigm for improving accuracy has relied on increasingly elaborate hand-crafted functional forms. This approach has led to a longstanding trade-off between computational efficiency and accuracy, which remains insufficient for reliable predictive modelling of laboratory experiments. Here we introduce Skala, a deep learning-based XC functional that surpasses state-of-the-art hybrid functionals in accuracy across the main-group chemistry benchmark set GMTKN55 with an error of 2.8 kcal/mol, while retaining the lower computational cost characteristic of semi-local DFT. This demonstrated departure from the historical trade-off between accuracy and efficiency is enabled by learning non-local representations of electronic structure directly from data, bypassing the need for increasingly costly hand-engineered features. Leveraging an unprecedented volume of high-accuracy reference data from wavefunction-based methods, we establish that modern deep learning enables systematically improvable neural exchange-correlation models as training datasets expand, positioning first-principles simulations to become progressively more predictive.

Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Builds on 15 of its 153 references that are in the map. First posted on arXiv 17 Jun 2025.

Builds on

15 of 153 references.

References · 15

  1. 2018Adafactor: Adaptive Learning Rates with Sublinear Memory Costcited by 905
  2. 2021E(3)-Equivariant Graph Neural Networks for Data-Efficient and Accurate Interatomic Potentialscited by 708
  3. 2020Directional Message Passing for Molecular Graphscited by 561
  4. 2022MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fieldscited by 474
  5. 2021Neural Operator: Learning Maps Between Function Spacescited by 414
  6. 2022Transition1x -- a Dataset for Building Generalizable Reactive Machine Learning Potentialscited by 37
  7. 2020Kohn-Sham equations as regularizer: building prior knowledge into machine-learned physicscited by 36
  8. 2021Learning the exchange-correlation functional from nature with fully differentiable density functional theorycited by 23
  9. 2024VN-EGNN: E(3)-Equivariant Graph Neural Networks with Virtual Nodes Enhance Protein Binding Site Identificationcited by 15
  10. 20233DReact: Geometric deep learning for chemical reactionscited by 7
  11. 2024Learning Equivariant Non-Local Electron Density Functionalscited by 6
  12. 2024Highly Accurate Real-space Electron Densities with Neural Networkscited by 4
3 more
  1. 2021How Well Does Kohn-Sham Regularizer Work for Weakly Correlated Systems?cited by 3
  2. 2024Learning local and semi-local density functionals from exact exchange-correlation potentials and energiescited by 3
  3. 2020On the Efficient Evaluation of the Exchange Correlation Potential on Graphics Processing Unit Clusterscited by 1

Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 1; 2026: 7.

8 papers.