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Article
Neural Network-based Approaches for Building High Dimensional and Quantum Dynamics-friendly Potential Energy Surfaces
International Journal of Quantum Chemistry
  • Sergei Manzhos
  • Richard Dawes, Missouri University of Science and Technology
  • Tucker Carrington, Jr.
Abstract
Development and applications of neural network (NN)-based approaches for representing potential energy surfaces (PES) of bound and reactive molecular systems are reviewed. Specifically, it is shown that when the density of ab initio points is low, NNs-based potentials with multibody or multimode structure are advantageous for representing high-dimensional PESs. Importantly, with an appropriate choice of the neuron activation function, PESs in the sum-of-products form are naturally obtained, thus addressing a bottleneck problem in quantum dynamics. the use of NN committees is also analyzed and it is shown that while they are able to reduce the fitting error, the reduction is limited by the nonrandom nature of the fitting error. the approaches described here are expected to be directly applicable in other areas of science and engineering where a functional form needs to be constructed in an unbiased way from sparse data. © 2014 Wiley Periodicals, Inc.
Department(s)
Chemistry
Research Center/Lab(s)
Center for High Performance Computing Research
Keywords and Phrases
  • Dynamics,
  • Molecular physics,
  • Neural networks,
  • Potential energy surfaces,
  • Quantum chemistry,
  • Quantum theory,
  • Rate constants,
  • Many body,
  • Network-based approach,
  • Neural network (nn),
  • Neuron activation function,
  • Quantum dynamics,
  • Science and engineering,
  • Sum of products,
  • Potential energy,
  • many-body,
  • neural network,
  • potential energy surface,
  • quantum dynamics,
  • sum of products
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 Wiley Periodicals, Inc., All rights reserved.
Publication Date
8-1-2015
Citation Information
Sergei Manzhos, Richard Dawes and Tucker Carrington. "Neural Network-based Approaches for Building High Dimensional and Quantum Dynamics-friendly Potential Energy Surfaces" International Journal of Quantum Chemistry Vol. 115 Iss. 16 (2015) p. 1012 - 1020 ISSN: 0020-7608
Available at: http://works.bepress.com/richard_dawes/70/