journal article·2023-12-28

Improving stability and transferability of machine learned interatomic potentials using physically informed bounding potentials

H. Zhou, D. Dickel, C. D. Barrett

Journal of Materials Research· Volume 38· Issue 24
Publisher page

Abstract

While machine-learning techniques have shown great progress in advancing the frontier of accuracy and scope in interatomic potentials, they still suffer from a number of drawbacks. Principle among these is an inability to extrapolate outside of the training data which can result in poor transferability or stability issues limiting their usefulness outside of specific scenarios. This is in contrast to traditional potential formalisms such as the Embedded Atom Method (EAM), which have shown excellent transferability thanks to the physical intuition which motivated their creation. We introduce here a modification to the machine-learned Rapid Artificial Neural Network (RANN) formalism which uses an EAM potential to bound the prediction of the energies. This constrains the predicted energies outside the training space, resulting in more stable and transferable potentials. Using zinc as an example, we demonstrate the improved stability and show that this bounding potential improves the quality of the potential within the training data.Graphical abstract
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Machine Learning in Materials Science · Nuclear Physics and Applications · Electron and X-Ray Spectroscopy Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (30)

Show source-provided references
1. J. Behler, M. Parrinello, Generalized neural-network representation of high-dimensional potential-energy surfaces. Phys. Rev. Lett. 98(14), 146401 (2007)10.1103/PhysRevLett.98.146401 ↗
2. J. Behler, Atom-centered symmetry functions for constructing high-dimensional neural network potentials. J. Chem. Phys. 134, 074106 (2011)10.1063/1.3553717 ↗
3. J. Behler, Perspective: machine learning potentials for atomistic simulations. J. Chem. Phys. 145(17), 170901 (2016)10.1063/1.4966192 ↗
4. A.P. Bartók, M.C. Payne, R. Kondor, G. Csányi, Gaussian approximation potentials: the accuracy of quantum mechanics, without the electrons. Phys. Rev. Lett. 104(13), 136403 (2010)10.1103/PhysRevLett.104.136403 ↗
5. A.P. Thompson, L.P. Swiler, C.R. Trott, S.M. Foiles, G.J. Tucker, Spectral neighbor analysis method for automated generation of quantum-accurate interatomic potentials. J. Comput. Phys. 285, 316–330 (2015)10.1016/j.jcp.2014.12.018 ↗
6. N. Artrith, A. Urban, An implementation of artificial neural-network potentials for atomistic materials simulations: performance for tio2. Comput. Mater. Sci. 114, 135–150 (2016)10.1016/j.commatsci.2015.11.047 ↗
7. M.S. Nitol, D.E. Dickel, C.D. Barrett, Machine learning models for predictive materials science from fundamental physics: an application to titanium and zirconium. Acta Materialia 224, 117347 (2022)10.1016/j.actamat.2021.117347 ↗
8. D.M. de Oca Zapiain, M.A. Wood, N. Lubbers, C.Z. Pereyra, A.P. Thompson, D. Perez, Training data selection for accuracy and transferability of interatomic potentials. Comput. Mater. 8(1), 189 (2022)10.1038/s41524-022-00872-x ↗
9. M. Karabin, D. Perez, An entropy-maximization approach to automated training set generation for interatomic potentials. J. Chem. Phys. 153(9), 094110 (2020)10.1063/5.0013059 ↗
10. F. Musil, A. Grisafi, A.P. Bartók, C. Ortner, G. Csányi, M. Ceriotti, Physics-inspired structural representations for molecules and materials. Chem. Rev. 121(16), 9759–9815 (2021)10.1021/acs.chemrev.1c00021 ↗
11. G.P. Purja Pun, R. Batra, R. Ramprasad, Y. Mishin, Physically informed artificial neural networks for atomistic modeling of materials. Nat. Commun. 10(1), 2339 (2019)10.1038/s41467-019-10343-5 ↗
12. G.P. Purja Pun, V. Yamakov, J. Hickman, E.H. Glaessgen, Y. Mishin, Development of a general-purpose machine-learning interatomic potential for aluminum by the physically informed neural network method. Phys. Rev. Mater. 4(11), 113807 (2020)10.1103/PhysRevMaterials.4.113807 ↗
13. D. Dickel, M. Nitol, C.D. Barrett, Lammps implementation of rapid artificial neural network derived interatomic potentials. Comput. Mater. Sci. 196, 110481 (2021)10.1016/j.commatsci.2021.110481 ↗
14. B.-J. Lee, M.I. Baskes, Second nearest-neighbor modified embedded atom method potential. Phys. Rev. B 62, 8564 (2000)10.1103/PhysRevB.62.8564 ↗
15. B.-J. Lee, M.I. Baskes, H. Kim, Y.K. Cho, Second nearest-neighbor modified embedded atom method potentials for bcc transition metals. Phys. Rev. B 64, 184102 (2001)10.1103/PhysRevB.64.184102 ↗
16. M.S. Nitol, D.E. Dickel, C.D. Barrett, Artificial neural network potential for pure zinc. Comput. Mater. Sci. 188, 110207 (2021)10.1016/j.commatsci.2020.110207 ↗
17. A.T. Dinsdale, Sgte data for pure elements. Calphad 15(4), 317–425 (1991)10.1016/0364-5916(91)90030-N ↗
18. J. Nuss, U. Wedig, A. Kirfel, M. Jansen, The structural anomaly of zinc: evolution of lattice constants and parameters of thermal motion in the temperature range of 40 to 500 k (Wiley, Hoboken, 2010)
19. M.I. Baskes, Commentary on ‘modified embedded atom method potentials for hcp metals’ MI Baskes and RA Johnson (1994) modelling simul. mater. sci. eng.-the early basis for modeling hcp materials using MEAM. Model. Simul. Mater. Sci. Eng. 25(7), 071002 (2017)10.1088/1361-651X/aa817e ↗
20. H.-S. Jang, K.-M. Kim, B.-J. Lee, Modified embedded-atom method interatomic potentials for pure zn and mg-zn binary system. Calphad 60, 200–207 (2018)10.1016/j.calphad.2018.01.003 ↗
21. D.E. Dickel, M.I. Baskes, I. Aslam, C.D. Barrett, New interatomic potential for mg-al-zn alloys with specific application to dilute mg-based alloys. Model. Simul. Mater. Sci. Eng. 26(4), 045010 (2018)10.1088/1361-651X/aabaad ↗
22. M. Stricker, B. Yin, M. Eleanor, W.A. Curtin, Machine learning for metallurgy ii. A neural-network potential for magnesium. Phys. Rev. Mater. 4(10), 103602 (2020)10.1103/PhysRevMaterials.4.103602 ↗
23. J.H. Rose, J.R. Smith, F. Guinea, J. Ferrante, Universal features of the equation of state of metals. Phys. Rev. B 29, 2963 (1984)10.1103/PhysRevB.29.2963 ↗
24. M.I. Baskes, Atomistic model of plutonium. Phys. Rev. B 62(23), 15532 (2000)10.1103/PhysRevB.62.15532 ↗
25. M.I. Baskes, Determination of modified embedded atom method parameters for nickel. Mater. Chem. Phys. 50, 152 (1997)10.1016/S0254-0584(97)80252-0 ↗
26. K. Levenberg, A method for the solution of certain non-linear problems in least squares. Q. Appl. Math. 2(2), 164–168 (1944)10.1090/qam/10666 ↗
27. D.W. Marquardt, An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11(2), 431–441 (1963)10.1137/0111030 ↗
28. P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G.L. Chiarotti, M. Cococcioni, I. Dabo et al., Quantum espresso: a modular and open-source software project for quantum simulations of materials. J. Phys. Condens. Matter 21(39), 395502 (2009)10.1088/0953-8984/21/39/395502 ↗
29. J.P. Perdew, A. Ruzsinszky, G.I. Csonka, O.A. Vydrov, G.E. Scuseria, L.A. Constantin, X. Zhou, K. Burke, Restoring the density-gradient expansion for exchange in solids and surfaces. Phys. Rev. Lett. 100(13), 136406 (2008)10.1103/PhysRevLett.100.136406 ↗
30. S.J. Plimpton, Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117(1), 1–19 (1995)10.1006/jcph.1995.1039 ↗