The DOI matches its Crossref record; 88 of the 88 references it cites were found in a registry or an index.
Potential energy surfaces from high fidelity fitting of ab initio points: the permutation invariant polynomial - neural network approach
Abstract
With advances in ab initio theory, it is now possible to calculate electronic energies within chemical (<1 kcal/mol) accuracy. However, it is still challenging to represent faithfully a large number of ab initio points with a multidimensional analytical function over a large configuration space, which is needed for accurate dynamical studies. In this Review, we discuss our recent work on a new potential-fitting approach based on artificial neural networks, which are ultra-flexible in representing any multidimensional real functions. A unique feature of our neural network approach is how the symmetries, particularly those associated with the exchange of identical atoms in the system, are enforced. To this end, symmetry functions in the form of symmetrised monomials that satisfy a particular type of symmetry possessed by the system are used in the input layer of the neural network. This approach is rigorous, accurate, and efficient. It is also simple to implement, requiring no modification of the neural network routines. Its applications to the construction of multi-dimensional potential energy surfaces in many gas phase and gas–surface systems as surveyed here.
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.
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
Dynamical Theory of Crystal Lattices
Born, M., Huang, K., & Lax, M. (1955) · American Journal of Physics · doi:10.1119/1.1934059 · Cited by 10,501
Training feedforward networks with the Marquardt algorithm
Hagan, M. T., & Menhaj, M. B. (1994) · IEEE Transactions on Neural Networks · doi:10.1109/72.329697 · Cited by 7,701
The Magma Algebra System I: The User Language
BOSMA, W., CANNON, J., & PLAYOUST, C. (1997) · Journal of Symbolic Computation · doi:10.1006/jsco.1996.0125 · Cited by 7,094
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
Coupled-cluster theory in quantum chemistry
Bartlett, R. J., & Musiał, M. (2007) · Reviews of Modern Physics · doi:10.1103/revmodphys.79.291 · Cited by 3,343
Scott, W. R. (1964) · Cited by 2,606
Beck, M. (2000) · Physics Reports · doi:10.1016/s0370-1573(99)00047-2 · Cited by 2,462
The interaction of water with solid surfaces: fundamental aspects revisited
Henderson, M. (2002) · Surface Science Reports · doi:10.1016/s0167-5729(01)00020-6 · Cited by 2,299
Ensembling neural networks: Many could be better than all
Zhou, Z.-H., Wu, J., & Tang, W. (2002) · Artificial Intelligence · doi:10.1016/s0004-3702(02)00190-x · Cited by 1,964
Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra
Wilson, E. B., Decius, J. C., Cross, P. C., & Sundheim, B. R. (1955) · Journal of The Electrochemical Society · doi:10.1149/1.2430134 · Cited by 1,682
Cited by
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
Four Generations of High-Dimensional Neural Network Potentials
Behler, J. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c00868 · Cited by 873
From DFT to machine learning: recent approaches to materials science–a review
Schleder, G. R., Padilha, A. C. M., Acosta, C. M., Costa, M., & Fazzio, A. (2019) · Journal of Physics: Materials · doi:10.1088/2515-7639/ab084b · Cited by 852
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
Metadata
- Authors
- Jiang, B., Li, J., & Guo, H.
- Venue
- International Reviews in Physical Chemistry
- Publisher
- Informa UK Limited
- Published
- 2016-07-02
- Volume
- 35
- Issue
- 3
- Pages
- 479-506
- ISSN
- 0144-235X (ISSN-L)
- 1366-591X
- OpenAlex
- W2508146432
- Cited by
- 401
- References
- 88
- FWCI
- 20.00
- Type
- journal article
- Language
- en
- Open access
- closed
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Potential energy surfaces from high fidelity fitting of ab initio points: the permutation invariant polynomial - neural network approach. https://app.cochat.ai/papers/10.1080/0144235x.2016.1200347
- The paper
- Jiang, B., Li, J., & Guo, H. (2016). Potential energy surfaces from high fidelity fitting of ab initio points: the permutation invariant polynomial - neural network approach. International Reviews in Physical Chemistry. https://doi.org/10.1080/0144235x.2016.1200347
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.