The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Performance and Cost Assessment of Machine Learning Interatomic Potentials
Open accessAbstract
Machine learning of the quantitative relationship between local environment descriptors and the potential energy surface of a system of atoms has emerged as a new frontier in the development of interatomic potentials (IAPs). Here, we present a comprehensive evaluation of machine learning IAPs (ML-IAPs) based on four local environment descriptors-atom-centered symmetry functions (ACSF), smooth overlap of atomic positions (SOAP), the spectral neighbor analysis potential (SNAP) bispectrum components, and moment tensors-using a diverse data set generated using high-throughput density functional theory (DFT) calculations. The data set comprising bcc (Li, Mo) and fcc (Cu, Ni) metals and diamond group IV semiconductors (Si, Ge) is chosen to span a range of crystal structures and bonding. All descriptors studied show excellent performance in predicting energies and forces far surpassing that of classical IAPs, as well as predicting properties such as elastic constants and phonon dispersion curves. We observe a general trade-off between accuracy and the degrees of freedom of each model and, consequently, computational cost. We will discuss these trade-offs in the context of model selection for molecular dynamics and other applications.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The scale of the GNoME dataset allows the pretrained potential to outperform existing general-purpose potentials and makes it competitive with models trained explicitly on hundreds of samples from the target data distributions.
“In particular, we find that the scale of the GNoME dataset allows it to outperform existing general-purpose potentials (see Fig. 3d) and makes the pretrained potential competitive with models trained explicitly on hundreds of samples from the target data distributions (see Supplementary Note 6.4).”
From Scaling deep learning for materials discovery (2023) · cites this paper as [56]
The Conclusions discuss GAP, MTP and SNAP models trained on approximately 100–200 structures, but do not compare them with a GNoME-pretrained potential. Searches for GNoME, pretrained potentials and the claimed comparison found no passage addressing those points in our copy. (LLM, conf=0.76)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
Kresse, G., & Furthmüller, J. (1996) · Physical Review B · doi:10.1103/physrevb.54.11169 · Cited by 123,652
Projector augmented-wave method
Blöchl, P. E. (1994) · Physical Review B · doi:10.1103/physrevb.50.17953 · Cited by 92,732
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Fast Parallel Algorithms for Short-Range Molecular Dynamics
Plimpton, S. (1995) · Journal of Computational Physics · doi:10.1006/jcph.1995.1039 · Cited by 44,721
On representing chemical environments
Bartók, A. P., Kondor, R., & Csányi, G. (2013) · Physical Review B · doi:10.1103/physrevb.87.184115 · Cited by 2,572
Fast and Accurate Modeling of Molecular Atomization Energies with Machine Learning
Rupp, M., Tkatchenko, A., Müller, K.-R., & von Lilienfeld, O. A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.058301 · Cited by 2,312
ANI-1: an extensible neural network potential with DFT accuracy at force field computational cost
Smith, J. S., Isayev, O., & Roitberg, A. E. (2017) · Chemical Science · doi:10.1039/c6sc05720a · Cited by 1,921
Reproducibility in density functional theory calculations of solids
Lejaeghere, K., Bihlmayer, G., Björkman, T., Blaha, P., Blügel, S., Blum, V., Caliste, D., Castelli, I. E., Clark, S. J., Dal Corso, A., et al. (2016) · Science · doi:10.1126/science.aad3000 · Cited by 1,649
Hansen, K., Biegler, F., Ramakrishnan, R., Pronobis, W., von Lilienfeld, O. A., Müller, K.-R., & Tkatchenko, A. (2015) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.5b00831 · Cited by 815
Neural network potential-energy surfaces in chemistry: a tool for large-scale simulations
Behler, J. (2011) · Physical Chemistry Chemical Physics · doi:10.1039/c1cp21668f · Cited by 781
Self-citationComparing molecules and solids across structural and alchemical space
De, S., Bartók, A. P., Csányi, G., & Ceriotti, M. (2016) · Physical Chemistry Chemical Physics · doi:10.1039/c6cp00415f · Cited by 778
Flagged first, then by citations
Research works printed but not linked: 87
- 10.1103/PhysRevLett.51.1888 · DOI
- 10.1073/pnas.1115123108 · DOI
- 10.1073/pnas.0901093106 · DOI
- 10.1021/ct400050d · DOI
- 10.1021/ja00051a040 · DOI
- 10.1021/j100389a010 · DOI
- 10.1021/jp004368u · DOI
- 10.1063/1.4966192 · DOI
- 10.1103/PhysRevLett.98.146401 · DOI · Paper page
- 10.1103/PhysRevB.90.104108 · DOI
- 10.1103/PhysRevMaterials.2.013808 · DOI
- 10.1016/j.jcp.2014.12.018 · DOI
- 10.1103/PhysRevMaterials.1.043603 · DOI
- 10.1103/PhysRevB.98.094104 · DOI
- 10.1038/s41524-019-0212-1 · DOI
- 10.1137/15M1054183 · DOI
- 10.1016/j.commatsci.2017.08.031 · DOI
- 10.1016/j.commatsci.2018.09.031 · DOI
- 10.1002/qua.24836 · DOI
- 10.1103/PhysRevB.92.094306 · DOI
- 10.1021/acs.jpcc.6b10908 · DOI
- 10.1103/PhysRevLett.114.096405 · DOI
- 10.1021/acs.jctc.8b00908 · DOI
- 10.1038/s41467-017-00839-3 · DOI
- 10.1002/qua.24954 · DOI
- 10.1103/PhysRevB.99.064103 · DOI
- 10.1103/PhysRevLett.120.143001 · DOI
- 10.1063/1.5009502 · DOI
- 10.1039/C7SC04934J · DOI
- 10.1063/1.5024577 · DOI · Paper page
- Himanen, L.; Jäger, M. O. J.; Morooka, E. V.; Canova, F. F.; Ranawat, Y. S.; Gao, D. Z.; Rinke, P.; Foster, A. S. DScribe: Library of Descriptors for Machine Learning in Materials Science. arXiv:1904.08875 2019. · DOI
- 10.1038/s41524-019-0189-9 · DOI
- 10.1103/PhysRevB.46.2250 · DOI
- 10.1016/0168-583X(86)90243-0 · DOI
- 10.1088/0953-8984/15/41/004 · DOI
- 10.1002/qua.24890 · DOI · Paper page
- 10.1002/anie.201703114 · DOI
- 10.1021/acs.jpcb.8b06476 · DOI
- 10.1103/PhysRevB.99.184305 · DOI
- 10.1063/1.3553717 · DOI
- 10.1016/j.commatsci.2015.11.047 · DOI
- 10.1073/pnas.1602375113 · DOI
- 10.1021/acs.jpclett.7b00358 · DOI
- 10.1021/acs.jctc.8b01288 · DOI
- 10.1103/PhysRevB.83.153101 · DOI
- 10.1063/1.4997242 · DOI
- 10.1103/PhysRevLett.104.136403 · DOI · Paper page
- 10.1103/PhysRevLett.120.156001 · DOI
- 10.1103/PhysRevB.95.094203 · DOI
- 10.1103/PhysRevB.97.054303 · DOI
- 10.1103/PhysRevX.8.041048 · DOI
- 10.1021/acs.jpclett.8b00902 · DOI
- 10.1063/1.5017641 · DOI
- 10.1016/j.commatsci.2019.03.049 · DOI
- 10.1103/PhysRevB.99.064114 · DOI
- 10.1039/C8CP06037A · DOI
- 10.1038/sdata.2015.9 · DOI
- 10.1038/sdata.2016.80 · DOI
- 10.1016/j.commatsci.2012.10.028 · DOI · Paper page
- 10.1002/cpe.3505 · DOI
- 10.1103/PhysRevB.68.144112 · DOI
- 10.1103/PhysRevB.33.7983 · DOI
- 10.1103/PhysRevB.59.14220 · DOI
- 10.1103/PhysRevB.41.3316 · DOI
- 10.1103/PhysRevB.40.6085 · DOI
- 10.1021/acs.jctc.8b00770 · DOI
- 10.1021/acs.jpclett.9b02037 · DOI
- 10.1109/CVPR.2017.351 · DOI · Paper page
- Zhang L., 2018, Proceedings of the 32nd International Conference on Neural Information Processing Systems, 4441
- 10.1073/pnas.1815117116 · DOI
- 10.1103/PhysRevB.69.144113 · DOI
- 10.1103/PhysRevB.93.184101 · DOI
- 10.1016/j.actamat.2014.12.010 · DOI
- 10.1103/PhysRevB.85.214121 · DOI
- 10.1088/0965-0393/8/6/305 · DOI
- 10.1016/j.commatsci.2006.07.013 · DOI
- 10.1016/j.jmgm.2016.11.009 · DOI
- 10.1063/1.1323224 · DOI
- 10.1088/0370-1298/65/5/307 · DOI
- 10.1080/0141861021000034568 · DOI
- 10.1080/01418619608240729 · DOI
- 10.1088/0965-0393/8/2/302 · DOI
- 10.1063/1.4870462 · DOI
- 10.1080/10408436.2013.772503 · DOI
- 10.1103/PhysRevB.79.155107 · DOI
- 10.1103/PhysRevB.69.075102 · DOI
- 10.1126/sciadv.1603015 · DOI
Cited by
Sorted by citations
Thompson, A. P., Aktulga, H. M., Berger, R., Bolintineanu, D. S., Brown, W. M., Crozier, P. S., in 't Veld, P. J., Kohlmeyer, A., Moore, S. G., Nguyen, T. D., et al. (2022) · Computer Physics Communications · doi:10.1016/j.cpc.2021.108171 · Cited by 12,598
Self-citationScaling deep learning for materials discovery
Merchant, A., Batzner, S., Schoenholz, S. S., Aykol, M., Cheon, G., & Cubuk, E. D. (2023) · Nature · doi:10.1038/s41586-023-06735-9 · Cited by 1,527
Combining Machine Learning and Computational Chemistry for Predictive Insights Into Chemical Systems
Keith, J. A., Vassilev-Galindo, V., Cheng, B., Chmiela, S., Gastegger, M., Müller, K.-R., & Tkatchenko, A. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.1c00107 · Cited by 849
Hart, G. L. W., Mueller, T., Toher, C., & Curtarolo, S. (2021) · Nature Reviews Materials · doi:10.1038/s41578-021-00340-w · Cited by 703
Emerging materials intelligence ecosystems propelled by machine learning
Batra, R., Song, L., & Ramprasad, R. (2020) · Nature Reviews Materials · doi:10.1038/s41578-020-00255-y · Cited by 446
Machine-learned interatomic potentials by active learning: amorphous and liquid hafnium dioxide
Sivaraman, G., Krishnamoorthy, A. N., Baur, M., Holm, C., Stan, M., Csányi, G., Benmore, C., & Vázquez-Mayagoitia, Á. (2020) · npj Computational Materials · doi:10.1038/s41524-020-00367-7 · Cited by 194
Automating alloy design and discovery with physics-aware multimodal multiagent AI
Ghafarollahi, A., & Buehler, M. J. (2025) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2414074122 · Cited by 72
Myung, C. W., Hajibabaei, A., Cha, J., Ha, M., Kim, J., & Kim, K. S. (2022) · Advanced Energy Materials · doi:10.1002/aenm.202202279 · Cited by 54
Combining phonon accuracy with high transferability in Gaussian approximation potential models
George, J., Hautier, G., Bartók, A. P., Csányi, G., & Deringer, V. L. (2020) · The Journal of Chemical Physics · doi:10.1063/5.0013826 · Cited by 44
Predicting Structural Properties of Pure Silica Zeolites Using Deep Neural Network Potentials
Sours, T. G., & Kulkarni, A. R. (2023) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.2c08429 · Cited by 36
Metadata
- Authors
- Zuo, Y., Chen, C., Li, X., Deng, Z., Chen, Y., Behler, J., Csányi, G., Shapeev, A. V., Thompson, A. P., Wood, M. A., & Ong, S. P.
- Affiliations
- University of California San Diego (US)
- University of Göttingen (DE)
- Department of Engineering, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, U.K.
- Skolkovo Institute of Science and Technology (RU)
- Sandia National Laboratories (US)
- Corresponding author
- Ong, Shyue Ping
- ORCID
- Venue
- The Journal of Physical Chemistry A
- Publisher
- American Chemical Society (ACS)
- Published
- 2020-01-09
- Volume
- 124
- Issue
- 4
- Pages
- 731-745
- ISSN
- 1089-5639 (ISSN-L)
- 1520-5215
- OpenAlex
- W3000291311
- Cited by
- 968
- References
- 12
- Citations by year
- 2026: 138 · 2025: 178 · 2024: 177 · 2023: 196 · 2022: 111 · 2021: 94 · 2020: 70
- FWCI
- 43.98
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- The Journal of Physical Chemistry A (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Apollo (University of Cambridge) (submittedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- Cambridge University Engineering Department Publications Database (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- GoeScholar The Publication Server of the Georg-August-Universität Göttingen (Georg-August-Universität Göttingen) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Apollo
- Funders
- Russian Science Foundation (18-13-00479)
- Deutsche Forschungsgemeinschaft (Be3264/11-2)
- Office of Naval Research (N00014-16-1-2621)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Materials Science › Materials Chemistry › Fusion materials and technologies
- Keywords
- machine learning interatomic potentials, atom-centered symmetry functions, soap, moment tensor, potential energy surface, elastic constants, phonon dispersion, computational cost, model selection, molecular dynamics, body-centered cubic metals, face-centered cubic metals
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review