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Machine-learned interatomic potentials by active learning: amorphous and liquid hafnium dioxide
Open accessAbstract
We propose an active learning scheme for automatically sampling a minimum number of uncorrelated configurations for fitting the Gaussian Approximation Potential (GAP). Our active learning scheme consists of an unsupervised machine learning (ML) scheme coupled with a Bayesian optimization technique that evaluates the GAP model. We apply this scheme to a Hafnium dioxide (HfO 2 ) dataset generated from a “melt-quench” ab initio molecular dynamics (AIMD) protocol. Our results show that the active learning scheme, with no prior knowledge of the dataset, is able to extract a configuration that reaches the required energy fit tolerance. Further, molecular dynamics (MD) simulations performed using this active learned GAP model on 6144 atom systems of amorphous and liquid state elucidate the structural properties of HfO 2 with near ab initio precision and quench rates (i.e., 1.0 K/ps) not accessible via AIMD. The melt and amorphous X-ray structural factors generated from our simulation are in good agreement with experiment. In addition, the calculated diffusion constants are in good agreement with previous ab initio studies.
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“The total NNP errors are similar to other state-of-the-art (rotationally invariant) MLPs38,42,44 for the modeling of reactive events.”
From A reactive neural network framework for water-loaded acidic zeolites (2024) · cites this paper as [44]
In the citing paper
“These errors are similar to other reactive (rotationally invariant) MLPs42,44,52 and about the same as for our previously developed silica NNPs38.”
From A reactive neural network framework for water-loaded acidic zeolites (2024) · cites this paper as [44]
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
From ultrasoft pseudopotentials to the projector augmented-wave method
Kresse, G., & Joubert, D. (1999) · Physical Review B · doi:10.1103/physrevb.59.1758 · Cited by 85,307
Kresse, G., & Furthmüller, J. (1996) · Computational Materials Science · doi:10.1016/0927-0256(96)00008-0 · Cited by 76,871
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
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
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
Canonical dynamics: Equilibrium phase-space distributions
Hoover, W. G. (1985) · Physical Review A · doi:10.1103/physreva.31.1695 · Cited by 23,852
Polymorphic transitions in single crystals: A new molecular dynamics method
Parrinello, M., & Rahman, A. (1981) · Journal of Applied Physics · doi:10.1063/1.328693 · Cited by 20,009
A unified formulation of the constant temperature molecular dynamics methods
Nosé, S. (1984) · The Journal of Chemical Physics · doi:10.1063/1.447334 · Cited by 17,163
P ACKMOL : A package for building initial configurations for molecular dynamics simulations
Martı́nez, L., Andrade, R., Birgin, E. G., & Martínez, J. M. (2009) · Journal of Computational Chemistry · doi:10.1002/jcc.21224 · Cited by 10,013
Taking the Human Out of the Loop: A Review of Bayesian Optimization
Shahriari, B., Swersky, K., Wang, Z., Adams, R. P., & de Freitas, N. (2015) · Proceedings of the IEEE · doi:10.1109/jproc.2015.2494218 · Cited by 6,195
Constant pressure molecular dynamics algorithms
Martyna, G. J., Tobias, D. J., & Klein, M. L. (1994) · The Journal of Chemical Physics · doi:10.1063/1.467468 · Cited by 5,845
Generalized Neural-Network Representation of High-Dimensional Potential-Energy Surfaces
Behler, J., & Parrinello, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.146401 · Cited by 5,010
Gaussian Approximation Potentials: The Accuracy of Quantum Mechanics, without the Electrons
Bartók, A. P., Payne, M. C., Kondor, R., & Csányi, G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.136403 · Cited by 3,242
hdbscan: Hierarchical density based clustering
McInnes, L., Healy, J., & Astels, S. (2017) · The Journal of Open Source Software · doi:10.21105/joss.00205 · Cited by 2,833
Density-Based Clustering Based on Hierarchical Density Estimates
Campello, R. J. G. B., Moulavi, D., & Sander, J. (2013) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-37456-2_14 · Cited by 2,680
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
MDTraj: A Modern Open Library for the Analysis of Molecular Dynamics Trajectories
McGibbon, R. T., Beauchamp, K. A., Harrigan, M. P., Klein, C., Swails, J., Hernández, C. X., Schwantes, C. R., Wang, L., Lane, T. J., & Pande, V. S. (2015) · Biophysical Journal · doi:10.1016/j.bpj.2015.08.015 · Cited by 2,454
SchNet – A deep learning architecture for molecules and materials
Schütt, K. T., Sauceda, H. E., Kindermans, P.-J., Tkatchenko, A., & Müller, K.-R. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5019779 · Cited by 2,217
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
Perspective on density functional theory
Burke, K. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4704546 · Cited by 1,826
Reverse Monte Carlo Simulation: A New Technique for the Determination of Disordered Structures
McGreevy, R. L., & Pusztai, L. (1988) · Molecular Simulation · doi:10.1080/08927028808080958 · Cited by 1,688
Moment Tensor Potentials: A Class of Systematically Improvable Interatomic Potentials
Shapeev, A. V. (2016) · Multiscale Modeling and Simulation · doi:10.1137/15m1054183 · Cited by 1,506
Perspective: Machine learning potentials for atomistic simulations
Behler, J. (2016) · The Journal of Chemical Physics · doi:10.1063/1.4966192 · Cited by 1,489
Rapid estimation of elastic constants by molecular dynamics simulation under constant stress
Shinoda, W., Shiga, M., & Mikami, M. (2004) · Physical Review B · doi:10.1103/physrevb.69.134103 · Cited by 1,278
Thompson, A. P., Swiler, L. P., Trott, C. R., Foiles, S. M., & Tucker, G. J. (2014) · Journal of Computational Physics · doi:10.1016/j.jcp.2014.12.018 · Cited by 1,122
Performance and Cost Assessment of Machine Learning Interatomic Potentials
Zuo, Y., Chen, C., Li, X., Deng, Z., Chen, Y., Behler, J., Csányi, G., Shapeev, A. V., Thompson, A. P., Wood, M. A., et al. (2020) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.9b08723 · Cited by 968
Machine learning based interatomic potential for amorphous carbon
Deringer, V. L., & Cśanyi, G. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.094203 · Cited by 696
Accelerated Hierarchical Density Based Clustering
McInnes, L., & Healy, J. (2017) · IEEE ... International Conference on Data Mining workshops · doi:10.1109/icdmw.2017.12 · Cited by 630
Molecular Dynamics with On-the-Fly Machine Learning of Quantum-Mechanical Forces
Li, Z., Kermode, J. R., & Vita, A. D. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.096405 · Cited by 628
Active learning of uniformly accurate interatomic potentials for materials simulation
Zhang, L., Lin, D.-Y., Wang, H., Car, R., & Weinan, E. (2019) · Physical Review Materials · doi:10.1103/physrevmaterials.3.023804 · Cited by 623
Hafnia and hafnia-toughened ceramics
Wang, J., Li, H. P., & Stevens, R. (1992) · Journal of Materials Science · doi:10.1007/bf00541601 · Cited by 591
How van der Waals interactions determine the unique properties of water
Morawietz, T., Singraber, A., Dellago, C., & Behler, J. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1602375113 · Cited by 487
Hierarchical sampling for active learning
Dasgupta, S., & Hsu, D. (2008) · International Conference on Machine Learning · doi:10.1145/1390156.1390183 · Cited by 458
Thermodynamic limit for synthesis of metastable inorganic materials
Aykol, M., Dwaraknath, S., Sun, W. Q., & Persson, K. A. (2018) · Science Advances · doi:10.1126/sciadv.aaq0148 · Cited by 454
Transport Coefficients from Dissipation in a Canonical Ensemble
Helfand, E. (1960) · Physical Review · doi:10.1103/physrev.119.1 · Cited by 413
Accelerating high-throughput searches for new alloys with active learning of interatomic potentials
Gubaev, K., Podryabinkin, E. V., Hart, G. L. W., & Shapeev, A. V. (2018) · Computational Materials Science · doi:10.1016/j.commatsci.2018.09.031 · Cited by 361
Design and synthesis of the superionic conductor Na10SnP2S12
Richards, W. D., Tsujimura, T., Miara, L. J., Wang, Y. E., Kim, J. C., Ong, S. P., Uechi, I., Suzuki, N., & Ceder, G. (2016) · Nature Communications · doi:10.1038/ncomms11009 · Cited by 318
Hennig, C. (2015) · Pattern Recognition Letters · doi:10.1016/j.patrec.2015.04.009 · Cited by 282
Realistic Atomistic Structure of Amorphous Silicon from Machine-Learning-Driven Molecular Dynamics
Deringer, V. L., Bernstein, N., Bartók, A. P., Cliffe, M. J., Kerber, R. N., Marbella, L. E., Grey, C. P., Elliott, S. R., & Cśanyi, G. (2018) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.8b00902 · Cited by 281
sGDML: Constructing accurate and data efficient molecular force fields using machine learning
Chmiela, S., Sauceda, H. E., Poltavsky, I., Müller, K., & Tkatchenko, A. (2019) · Computer Physics Communications · doi:10.1016/j.cpc.2019.02.007 · Cited by 256
Dasgupta, S. (2010) · Theoretical Computer Science · doi:10.1016/j.tcs.2010.12.054 · Cited by 254
Jain, A., Hautier, G., Ong, S. P., & Persson, K. (2016) · Journal of Materials Research · doi:10.1557/jmr.2016.80 · Cited by 244
Data-Driven Learning of Total and Local Energies in Elemental Boron
Deringer, V. L., Pickard, C. J., & Cśanyi, G. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.156001 · Cited by 206
De novo exploration and self-guided learning of potential-energy surfaces
Bernstein, N., Cśanyi, G., & Deringer, V. L. (2019) · npj Computational Materials · doi:10.1038/s41524-019-0236-6 · Cited by 203
Validation of molecular dynamics simulation
A, W. F. V. G., & Mark, A. E. (1998) · The Journal of Chemical Physics · doi:10.1063/1.476021 · Cited by 197
Schlom, D. G., Guha, S., & Datta, S. (2008) · MRS Bulletin · doi:10.1557/mrs2008.221 · Cited by 147
Gereben, O., & Pusztai, L. (2012) · Journal of Computational Chemistry · doi:10.1002/jcc.23058 · Cited by 132
Hong, Q., Ushakov, S. V., Kapush, D., Benmore, C. J., Weber, R. J., van de Walle, A., & Navrotsky, A. (2018) · Scientific Reports · doi:10.1038/s41598-018-32848-7 · Cited by 71
Self-citationTemperature effects on the ionic conductivity in concentrated alkaline electrolyte solutions
Shao, Y., Hellström, M., Yllö, A., Mindemark, J., Hermansson, K., Behler, J., & Zhang, C. (2019) · Physical Chemistry Chemical Physics · doi:10.1039/c9cp06479f · Cited by 70
Uebing, C., & Gomer, R. (1994) · The Journal of Chemical Physics · doi:10.1063/1.466819 · Cited by 70
High-k (k=30) amorphous hafnium oxide films from high rate room temperature deposition
Li, F. M., Bayer, B. C., Hofmann, S., Dutson, J., Wakeham, S. J., Thwaites, M. J., Milne, W. I., & Flewitt, A. J. (2011) · Applied Physics Letters · doi:10.1063/1.3601487 · Cited by 69
Molecular dynamics simulation of amorphous HfO2for resistive RAM applications
Broglia, G., Ori, G., Larcher, L., & Montorsi, M. (2014) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/22/6/065006 · Cited by 59
Uncovering Large-Scale Conformational Change in Molecular Dynamics without Prior Knowledge
Melvin, R. L., Godwin, R. C., Xiao, J., Thompson, W. G., Berenhaut, K. S., & Salsbury, F. R. (2016) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.6b00757 · Cited by 49
The Structure of Liquid and Amorphous Hafnia
Gallington, L. C., Ghadar, Y., Skinner, L. B., Weber, J., Ushakov, S. V., Navrotsky, A., Vázquez‐Mayagoitia, Á., Neuefeind, J. C., Stan, M., Low, J. J., et al. (2017) · Materials · doi:10.3390/ma10111290 · Cited by 44
Self-citationStructure, thermodynamics, and crystallization of amorphous hafnia
Luo, X., & Demkov, A. A. (2015) · Journal of Applied Physics · doi:10.1063/1.4931157 · Cited by 17
Understanding the Structure of Amorphous Thin Film Hafnia (Final Paper)
Miranda, A., & USDOE Office of Science (SC), O. O. W. D. F. T. &. S. (. (2015) · doi:10.2172/1213132 · Cited by 2
Research works printed but not linked: 8
- McGreevy, R. L. Reverse Monte Carlo modelling. J. Phys. 13, R877 (2001).
- Huan, T. D. et al. A universal strategy for the creation of machine learning-based atomistic force fields. npj Comput. Mater. 3, 37 (2017).
- Behler, J. Representing potential energy surfaces by high-dimensional neural network potentials. J. Phys. 26, 183001 (2014).
- Matthews, J. N. A. Semiconductor industry switches to hafnium-based transistors. Phys. Today 61, 25 (2008).
- Upadhya, K., Yang, J. M. & Hoffman, W. P. Advanced materials for ultrahigh temperature structural applications above 2000 °C. Am. Ceram. Soc. Bull. 76, 51–56 (1997).
- Bartók, A. P., Kermode, J., Bernstein, N. & Csányi, G. Machine learning a general-purpose interatomic potential for silicon. Phys. Rev. X 8, 041048 (2018).
- Kresse, G. & Furthmüller, J. Software VASP, Vienna. Phys. Rev. B 54, 169 (1999).
- Snoek, J. Larochelle, H. & Adams, R. P. Practical bayesian optimization of machine learning algorithms. In Advances in Neural Information Processing Systems, 2951–2959 (Curran Associates, Inc., New York, USA, 2012).
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Machine-Learning Interatomic Potentials for Materials Science
Mishin, Y. M. (2021) · Acta Materialia · doi:10.1016/j.actamat.2021.116980 · Cited by 431
Neural Network Potentials: A Concise Overview of Methods
Kocer, E., Ko, T. W., & Behler, J. (2022) · Annual Review of Physical Chemistry · doi:10.1146/annurev-physchem-082720-034254 · Cited by 341
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Metadata
- Authors
- Sivaraman, G., Krishnamoorthy, A. N., Baur, M., Holm, C., Stan, M., Csányi, G., Benmore, C., & Vázquez-Mayagoitia, Á.
- Affiliations
- Argonne National Laboratory (US)
- University of Stuttgart (DE)
- Venue
- npj Computational Materials
- Published
- 2020-07-23
- Volume
- 6
- Issue
- 1
- ISSN
- 2057-3960 (ISSN-L)
- OpenAlex
- W2981603605
- Cited by
- 194
- References
- 57
- Citations by year
- 2026: 28 · 2025: 32 · 2024: 43 · 2023: 35 · 2022: 22 · 2021: 27 · 2020: 7
- FWCI
- 8.86
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- npj Computational Materials (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- Funders
- U.S. Department of Energy (DE‐ AC02‐06CH11357, Contract No. DE-AC02-06CH11357., AC02‐06CH11357, contract DE-AC02-06CH11357, 06CH11357, No. DE-AC02-06CH11357, DE-AC02-)
- Deutsche Forschungsgemeinschaft (EXC2075390740016, DE-AC02-06CH11357, EXC 2075, 390740016)
- Office of Science (Contract No. DE-AC02-06CH11357, AC02‐06CH11357, DE-AC02, No. DE-AC02-06CH11357., 06CH11357, DE-AC02-06CH11357)
- Basic Energy Sciences (DE-AC02, DE-AC- 02-06CH11357, AC02‐06CH11357, Contract No. DE-AC02-06CH11357, 06CH11357)
- Laboratory Directed Research and Development (DE‐AC02‐06CH11357)
- Argonne National Laboratory (DE- AC02-06-CH11357, DE-AC02, AC02–06CH11357, Contract DE-AC02-06CH11357, No. DE-AC02-06CH11357, 06CH11357, Contract No. DE-AC02-06CH11357., under contract DE-AC02-06CH11357)
- 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 › Earth and Planetary Sciences › Geophysics › High-pressure geophysics and materials
- Keywords
- active learning (machine learning), Gaussian approximation potential, interatomic potentials, hafnium oxide, amorphous HfO2, ab initio molecular dynamics, Bayesian optimization, unsupervised learning, diffusion coefficient, machine learning interatomic potentials
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