Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-28T13:21:28.070Z Has data issue: false hasContentIssue false

Neural Networks for Computational Chemistry: Pitfalls and Recommendations

Published online by Cambridge University Press:  21 February 2013

Grégoire Montavon
Affiliation:
Machine Learning Group, TU Berlin, Marchstraße 23, 10587 Berlin, Germany
Klaus-Robert Müller
Affiliation:
Machine Learning Group, TU Berlin, Marchstraße 23, 10587 Berlin, Germany Department of Brain and Cognitive Engineering, Korea University, Anam-dong, Seongbuk-gu, Seoul 136-713, South Korea
Get access

Abstract

There is a long history of using neural networks for function approximation in computational physics and chemistry. Despite their conceptual simplicity, the practitioner may face difficulties when it comes to putting them to work. This small guide intends to pinpoint some neural networks pitfalls, along with corresponding solutions to successfully realize function approximation tasks in physics, chemistry or other fields.

Type
Articles
Copyright
Copyright © Materials Research Society 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Lorenz, Sönke, Groß, Axel, and Scheffler, Matthias. Representing high-dimensional potential-energy surfaces for reactions at surfaces by neural networks. Chemical Physics Letters, 395(4–6):210215, 2004.CrossRefGoogle Scholar
Manzhos, Sergei and Carrington, Tucker. A random-sampling high dimensional model representation neural network for building potential energy surfaces. J. Chem. Phys., 125:084109, 2006.10.1063/1.2336223CrossRefGoogle ScholarPubMed
Behler, Jörg. Neural network potential-energy surfaces in chemistry: a tool for large-scale simulations. Physical Chemistry Chemical Physics, 13(40):1793017955, 2011.10.1039/c1cp21668fCrossRefGoogle ScholarPubMed
Snyder, John C., Rupp, Matthias, Hansen, Katja, Müller, Klaus-Robert, and Burke, Kieron. Finding Density Functionals with Machine Learning, Physical Review Letters, 108(25): 253002, American Physical Society, 2012.CrossRefGoogle ScholarPubMed
Rupp, Matthias, Tkatchenko, Alexandre, Müller, Klaus-Robert, and Anatole von Lilienfeld, O.. Fast and Accurate Modeling of Molecular Atomization Energies with Machine Learning, Physical Review Letters, 108(5):058301, 2012.10.1103/PhysRevLett.108.058301CrossRefGoogle ScholarPubMed
Montavon, Grégoire, Hansen, Katja, Fazli, Siamac, Rupp, Matthias, Biegler, Franziska, Ziehe, Andreas, Tkatchenko, Alexandre, Anatole von Lilienfeld, O., and Müller, Klaus-Robert. Learning Invariant Representations of Molecules for Atomization Energy Prediction, Advances in Neural Information Processing Systems 25, 449457, 2012.Google Scholar
Rumelhart, David E., Hinton, Geoffrey E., and Williams, Ronald J.. Learning representations by backpropagating errors, Nature, 323, 533536, 1986.10.1038/323533a0CrossRefGoogle Scholar
Bottou, Léon. Stochastic Gradient Learning in Neural Networks, Proceedings of Neuro-Nîmes 91, EC2, Nimes, France, 1991.Google Scholar
LeCun, Yann, Bottou, Léon, Orr, Geneviève B., and Müller, Klaus-Robert. Efficient BackProp, in Orr, G. B., and Müller, K-R. (Eds), Neural Networks: Tricks of the trade, Springer, 1998.Google Scholar
Montavon, Grégoire, Orr, Geneviève B., and Müller, Klaus-Robert (Eds). Neural Networks: Tricks of the Trade. 2nd edn, LNCS 7700, Springer, 2012.10.1007/978-3-642-35289-8CrossRefGoogle Scholar
Montavon, Grégoire, Braun, Mikio L., and Müller, Klaus-Robert. Kernel analysis of deep networks. Journal of Machine Learning Research, 12:25632581, 2011.Google Scholar
Blum, Lorenz C. and Reymond, Jean-Louis. 970 million druglike small molecules for virtual screening in the chemical universe database GDB-13. Journal of the American Chemical Society, 131(25):87328733, 2009.10.1021/ja902302hCrossRefGoogle ScholarPubMed
Rupp, Matthias, Tkatchenko, Alexandre, Müller, Klaus-Robert, and Anatole von Lilienfeld, O.. Reply to Comment by J.E. Moussa (Physical Review Letters 109(5): 059801, 2012), Physical Review Letters, 109(5): 059802, American Physical Society, 2012.10.1103/PhysRevLett.109.059802CrossRefGoogle Scholar