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Unifying machine learning and quantum chemistry with a deep neural network for molecular wavefunctions

Author

Listed:
  • K. T. Schütt

    (Technische Universität Berlin)

  • M. Gastegger

    (Technische Universität Berlin)

  • A. Tkatchenko

    (University of Luxembourg)

  • K.-R. Müller

    (Technische Universität Berlin
    Korea University, Anam-dong
    Max-Planck-Institut für Informatik)

  • R. J. Maurer

    (University of Warwick)

Abstract

Machine learning advances chemistry and materials science by enabling large-scale exploration of chemical space based on quantum chemical calculations. While these models supply fast and accurate predictions of atomistic chemical properties, they do not explicitly capture the electronic degrees of freedom of a molecule, which limits their applicability for reactive chemistry and chemical analysis. Here we present a deep learning framework for the prediction of the quantum mechanical wavefunction in a local basis of atomic orbitals from which all other ground-state properties can be derived. This approach retains full access to the electronic structure via the wavefunction at force-field-like efficiency and captures quantum mechanics in an analytically differentiable representation. On several examples, we demonstrate that this opens promising avenues to perform inverse design of molecular structures for targeting electronic property optimisation and a clear path towards increased synergy of machine learning and quantum chemistry.

Suggested Citation

  • K. T. Schütt & M. Gastegger & A. Tkatchenko & K.-R. Müller & R. J. Maurer, 2019. "Unifying machine learning and quantum chemistry with a deep neural network for molecular wavefunctions," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
  • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-12875-2
    DOI: 10.1038/s41467-019-12875-2
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    Cited by:

    1. Michael Scherbela & Leon Gerard & Philipp Grohs, 2024. "Towards a transferable fermionic neural wavefunction for molecules," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    2. Chao Liang & Yilimiranmu Rouzhahong & Caiyuan Ye & Chong Li & Biao Wang & Huashan Li, 2023. "Material symmetry recognition and property prediction accomplished by crystal capsule representation," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    3. Qiangqiang Gu & Zhanghao Zhouyin & Shishir Kumar Pandey & Peng Zhang & Linfeng Zhang & Weinan E, 2024. "Deep learning tight-binding approach for large-scale electronic simulations at finite temperatures with ab initio accuracy," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    4. Laura Lewis & Hsin-Yuan Huang & Viet T. Tran & Sebastian Lehner & Richard Kueng & John Preskill, 2024. "Improved machine learning algorithm for predicting ground state properties," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    5. Yuanming Bai & Leslie Vogt-Maranto & Mark E. Tuckerman & William J. Glover, 2022. "Machine learning the Hohenberg-Kohn map for molecular excited states," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    6. Yi Yang & Xinwei Li & Huamin Li & Dongyin Li & Ruifu Yuan, 2020. "Deep Q-Network for Optimal Decision for Top-Coal Caving," Energies, MDPI, vol. 13(7), pages 1-14, April.
    7. Amin Alibakhshi & Bernd Hartke, 2022. "Implicitly perturbed Hamiltonian as a class of versatile and general-purpose molecular representations for machine learning," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    8. Oliver T. Unke & Stefan Chmiela & Michael Gastegger & Kristof T. Schütt & Huziel E. Sauceda & Klaus-Robert Müller, 2021. "SpookyNet: Learning force fields with electronic degrees of freedom and nonlocal effects," Nature Communications, Nature, vol. 12(1), pages 1-14, December.
    9. Xiaoxun Gong & He Li & Nianlong Zou & Runzhang Xu & Wenhui Duan & Yong Xu, 2023. "General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian," Nature Communications, Nature, vol. 14(1), pages 1-10, December.

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