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      Machine learning molecular dynamics for the simulation of infrared spectra†

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      a , b , a ,
      Chemical Science
      Royal Society of Chemistry

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          Abstract

          Artificial neural networks are combined with molecular dynamics to simulate molecular infrared spectra including anharmonicities and temperature effects.

          Abstract

          Machine learning has emerged as an invaluable tool in many research areas. In the present work, we harness this power to predict highly accurate molecular infrared spectra with unprecedented computational efficiency. To account for vibrational anharmonic and dynamical effects – typically neglected by conventional quantum chemistry approaches – we base our machine learning strategy on ab initio molecular dynamics simulations. While these simulations are usually extremely time consuming even for small molecules, we overcome these limitations by leveraging the power of a variety of machine learning techniques, not only accelerating simulations by several orders of magnitude, but also greatly extending the size of systems that can be treated. To this end, we develop a molecular dipole moment model based on environment dependent neural network charges and combine it with the neural network potential approach of Behler and Parrinello. Contrary to the prevalent big data philosophy, we are able to obtain very accurate machine learning models for the prediction of infrared spectra based on only a few hundreds of electronic structure reference points. This is made possible through the use of molecular forces during neural network potential training and the introduction of a fully automated sampling scheme. We demonstrate the power of our machine learning approach by applying it to model the infrared spectra of a methanol molecule, n-alkanes containing up to 200 atoms and the protonated alanine tripeptide, which at the same time represents the first application of machine learning techniques to simulate the dynamics of a peptide. In all of these case studies we find an excellent agreement between the infrared spectra predicted via machine learning models and the respective theoretical and experimental spectra.

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          Most cited references83

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          Auxiliary basis sets to approximate Coulomb potentials

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            Is Open Access

            Quantum-chemical insights from deep tensor neural networks

            Learning from data has led to paradigm shifts in a multitude of disciplines, including web, text and image search, speech recognition, as well as bioinformatics. Can machine learning enable similar breakthroughs in understanding quantum many-body systems? Here we develop an efficient deep learning approach that enables spatially and chemically resolved insights into quantum-mechanical observables of molecular systems. We unify concepts from many-body Hamiltonians with purpose-designed deep tensor neural networks, which leads to size-extensive and uniformly accurate (1 kcal mol−1) predictions in compositional and configurational chemical space for molecules of intermediate size. As an example of chemical relevance, the model reveals a classification of aromatic rings with respect to their stability. Further applications of our model for predicting atomic energies and local chemical potentials in molecules, reliable isomer energies, and molecules with peculiar electronic structure demonstrate the potential of machine learning for revealing insights into complex quantum-chemical systems.
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              Atom-centered symmetry functions for constructing high-dimensional neural network potentials.

              Neural networks offer an unbiased and numerically very accurate approach to represent high-dimensional ab initio potential-energy surfaces. Once constructed, neural network potentials can provide the energies and forces many orders of magnitude faster than electronic structure calculations, and thus enable molecular dynamics simulations of large systems. However, Cartesian coordinates are not a good choice to represent the atomic positions, and a transformation to symmetry functions is required. Using simple benchmark systems, the properties of several types of symmetry functions suitable for the construction of high-dimensional neural network potential-energy surfaces are discussed in detail. The symmetry functions are general and can be applied to all types of systems such as molecules, crystalline and amorphous solids, and liquids.
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                Author and article information

                Journal
                Chem Sci
                Chem Sci
                Chemical Science
                Royal Society of Chemistry
                2041-6520
                2041-6539
                1 October 2017
                10 August 2017
                : 8
                : 10
                : 6924-6935
                Affiliations
                [a ] University of Vienna , Faculty of Chemistry , Institute of Theoretical Chemistry , Währinger Str. 17 , 1090 Vienna , Austria . Email: philipp.marquetand@ 123456univie.ac.at ; Fax: +43 1 4277 9527 ; Tel: +43 1 4277 52764
                [b ] Universität Göttingen , Institut für Physikalische Chemie , Theoretische Chemie , Tammannstr. 6 , 37077 Göttingen , Germany
                Author information
                http://orcid.org/0000-0002-1220-1542
                http://orcid.org/0000-0002-8711-1533
                Article
                c7sc02267k
                10.1039/c7sc02267k
                5636952
                29147518
                e8f8c9a8-b59a-4963-b7f9-d005b216dfc6
                This journal is © The Royal Society of Chemistry 2017

                This article is freely available. This article is licensed under a Creative Commons Attribution 3.0 Unported Licence (CC BY 3.0)

                History
                : 19 May 2017
                : 8 August 2017
                Categories
                Chemistry

                Notes

                †Electronic supplementary information (ESI) available. See DOI: 10.1039/c7sc02267k


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