scholarly journals Molecular force fields with gradient-domain machine learning (GDML): Comparison and synergies with classical force fields

2020 ◽  
Vol 153 (12) ◽  
pp. 124109
Author(s):  
Huziel E. Sauceda ◽  
Michael Gastegger ◽  
Stefan Chmiela ◽  
Klaus-Robert Müller ◽  
Alexandre Tkatchenko
2019 ◽  
Vol 150 (11) ◽  
pp. 114102 ◽  
Author(s):  
Huziel E. Sauceda ◽  
Stefan Chmiela ◽  
Igor Poltavsky ◽  
Klaus-Robert Müller ◽  
Alexandre Tkatchenko

2021 ◽  
Author(s):  
Tom Young ◽  
Tristan Johnston-Wood ◽  
Volker L. Deringer ◽  
Fernanda Duarte

Predictive molecular simulations require fast, accurate and reactive interatomic potentials. Machine learning offers a promising approach to construct such potentials by fitting energies and forces to high-level quantum-mechanical data, but...


2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Pascal Friederich ◽  
Manuel Konrad ◽  
Timo Strunk ◽  
Wolfgang Wenzel

2019 ◽  
Vol 59 (10) ◽  
pp. 4278-4288 ◽  
Author(s):  
James L. McDonagh ◽  
Ardita Shkurti ◽  
David J. Bray ◽  
Richard L. Anderson ◽  
Edward O. Pyzer-Knapp

2019 ◽  
Vol 240 ◽  
pp. 38-45 ◽  
Author(s):  
Stefan Chmiela ◽  
Huziel E. Sauceda ◽  
Igor Poltavsky ◽  
Klaus-Robert Müller ◽  
Alexandre Tkatchenko

2017 ◽  
Vol 3 (5) ◽  
pp. e1603015 ◽  
Author(s):  
Stefan Chmiela ◽  
Alexandre Tkatchenko ◽  
Huziel E. Sauceda ◽  
Igor Poltavsky ◽  
Kristof T. Schütt ◽  
...  

Author(s):  
Kasra Asnaashari ◽  
Roman V Krems

Abstract The generalization accuracy of machine learning models of potential energy surfaces (PES) and force fields (FF) for large polyatomic molecules can be improved either by increasing the number of training points or by improving the models. In order to build accurate models based on expensive {\it ab initio} calculations, much of recent work has focused on the latter. In particular, it has been shown that gradient domain machine learning (GDML) models produce accurate results for high-dimensional molecular systems with a small number of {\it ab initio} calculations. The present work extends GDML to models with composite kernels built to maximize inference from a small number of molecular geometries. We illustrate that GDML models can be improved by increasing the complexity of underlying kernels through a greedy search algorithm using Bayesian information criterion as the model selection metric. We show that this requires including anisotropy into kernel functions and produces models with significantly smaller generalization errors. The results are presented for ethanol, uracil, malonaldehyde and aspirin. For aspirin, the model with composite kernels trained by forces at 1000 randomly sampled molecular geometries produces a global 57-dimensional PES with the mean absolute accuracy 0.177 kcal/mol (61.9 cm$^{-1}$) and FFs with the mean absolute error 0.457 kcal/mol~Å$^{-1}$.


2021 ◽  
Vol 154 (12) ◽  
pp. 124102
Author(s):  
Gregory Fonseca ◽  
Igor Poltavsky ◽  
Valentin Vassilev-Galindo ◽  
Alexandre Tkatchenko

1950 ◽  
Vol 46 (0) ◽  
pp. 137-146 ◽  
Author(s):  
D. F. Heath ◽  
J. W. Linnett ◽  
P. J. Wheatley

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