The DOI matches its Crossref record; 179 of the 179 references it cites were found in a registry or an index.
Geometric deep learning on molecular representations
Open accessAbstract
Geometric deep learning (GDL) is based on neural network architectures that incorporate and process symmetry information. GDL bears promise for molecular modelling applications that rely on molecular representations with different symmetry properties and levels of abstraction. This Review provides a structured and harmonized overview of molecular GDL, highlighting its applications in drug discovery, chemical synthesis prediction and quantum chemistry. It contains an introduction to the principles of GDL, as well as relevant molecular representations, such as molecular graphs, grids, surfaces and strings, and their respective properties. The current challenges for GDL in the molecular sciences are discussed, and a forecast of future opportunities is attempted. Geometric representations are becoming more important in molecular deep learning as the spatial structure of molecules contains important information about their properties. Kenneth Atz and colleagues review current progress and challenges in this emerging field of geometric deep learning.
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Vaswani, A., Shazeer, N., Parmar, N., Uszkoreit, J., Jones, L., Gomez, A. N., Kaiser, L., & Polosukhin, I. (2017) · arXiv · doi:10.48550/arxiv.1706.03762 · Cited by 120,404
ImageNet classification with deep convolutional neural networks
Krizhevsky, A., Sutskever, I., & Hinton, G. E. (2017) · Communications of the ACM · doi:10.1145/3065386 · Cited by 112,155
Hochreiter, S., & Schmidhuber, J. (1997) · Neural Computation · doi:10.1162/neco.1997.9.8.1735 · Cited by 102,318
LeCun, Y., Bengio, Y., & Hinton, G. (2015) · Nature · doi:10.1038/nature14539 · Cited by 84,126
Gradient-based learning applied to document recognition
Lecun, Y., Bottou, L., Bengio, Y., & Haffner, P. (1998) · Proceedings of the IEEE · doi:10.1109/5.726791 · Cited by 58,805
Highly accurate protein structure prediction with AlphaFold
Jumper, J., Evans, R., Pritzel, A., Green, T., Figurnov, M., Ronneberger, O., Tunyasuvunakool, K., Bates, R., Žídek, A., Potapenko, A., et al. (2021) · Nature · doi:10.1038/s41586-021-03819-2 · Cited by 43,764
Semi-supervised classification with graph convolutional networks
Kipf, T. N., & Welling, M. (2016) · arXiv · doi:10.48550/arxiv.1609.02907 · Cited by 24,853
Pan, S. J., & Yang, Q. (2010) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2009.191 · Cited by 23,387
Language Models are Few-Shot Learners
Brown, T. B., Mann, B., Ryder, N., Subbiah, M., Kaplan, J., Dhariwal, P., Neelakantan, A., Shyam, P., Sastry, G., Askell, A., et al. (2020) · arXiv · doi:10.48550/arxiv.2005.14165 · Cited by 23,372
Deep learning in neural networks: an overview
Schmidhuber, J. (2015) · Neural Networks · doi:10.1016/j.neunet.2014.09.003 · Cited by 18,570
Research works printed but not linked: 13
- Bronstein, M. M., Bruna, J., Cohen, T. & Veličković, P. Geometric deep learning: grids, groups, graphs, geodesics, and gauges. Preprint at https://arxiv.org/abs/2104.13478 (2021). · arXiv
- Klicpera, J., Groß, J. & Günnemann, S. Directional message passing for molecular graphs. In International Conference on Learning Representations Vol. 8 (2020).
- You, J., Liu, B., Ying, Z., Pande, V. & Leskovec, J. Graph convolutional policy network for goal-directed molecular graph generation. In Advances in Neural Information Processing Systems Vol. 31, 6410–6421 (2018).
- Jin, W., Barzilay, R. & Jaakkola, T. Multi-objective molecule generation using interpretable substructures. In International Conference on Machine Learning Vol. 37, 4849–4859 (2020).
- Lei, T., Jin, W., Barzilay, R. & Jaakkola, T. Deriving neural architectures from sequence and graph kernels. In International Conference on Machine Learning Vol. 34, 2024-2033 (2017).
- Xu, K., Hu, W., Leskovec, J. & Jegelka, S. How powerful are graph neural networks? Preprint at https://arxiv.org/abs/1810.00826 (2018). · arXiv
- Chen, Z., Chen, L., Villar, S. & Bruna, J. Can graph neural networks count substructures? In Advances in Neural Information Processing Systems Vol. 33, 10383–10395 (2020).
- Bouritsas, G., Frasca, F., Zafeiriou, S. & Bronstein, M. M. Improving graph neural network expressivity via subgraph isomorphism counting. Preprint at https://arxiv.org/abs/2006.09252 (2020). · arXiv
- Ahmed, E. et al. A survey on deep learning advances on different 3d data representations. Preprint at https://arxiv.org/abs/1808.01462 (2018). · arXiv
- Pfaff, T., Fortunato, M., Sanchez-Gonzalez, A. & Battaglia, P. Learning mesh-based simulation with graph networks. In International Conference on Learning Representations Vol. 8 (2020).
- Wiswesser, W. J. The Wiswesser line formula notation. Chem. Eng. News Arch. 30, 3523–3526 (1952). · doi:10.1021/cen-v030n034.p3523
- LeCun, Y. et al. in The Handbook of Brain Theory and Neural Networks (ed. Arbib, M. A.) 255–258 (MIT Press, 1995).
- Sutton, R. S. & Barto, A. G.Reinforcement Learning: An Introduction (MIT Press, 2018).
Cited by
Exposing the Limitations of Molecular Machine Learning with Activity Cliffs
van Tilborg, D., Alenicheva, A., & Grisoni, F. (2022) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.2c01073 · Cited by 337
Self-citationAI in drug discovery and its clinical relevance
Qureshi, R., Irfan, M., Gondal, T. M., Khan, S., Wu, J., Hadi, M. U., Heymach, J., Le, X., Yan, H., & Alam, T. (2023) · Heliyon · doi:10.1016/j.heliyon.2023.e17575 · Cited by 319
A review of large language models and autonomous agents in chemistry
Ramos, M. C., Collison, C. J., & White, A. D. (2025) · Chemical Science · doi:10.1039/d4sc03921a · Cited by 274
Structure-based drug design with geometric deep learning
Isert, C., Atz, K., & Schneider, G. (2023) · Current Opinion in Structural Biology · doi:10.1016/j.sbi.2023.102548 · Cited by 182
Self-citationCao, D., Chen, M., Zhang, R., Wang, Z., Huang, M., Yu, J., Jiang, X., Fan, Z., Zhang, W., Zhou, H., et al. (2025) · Nature Methods · doi:10.1038/s41592-024-02516-y · Cited by 106
Metadata
- Authors
- Atz, K., Grisoni, F., & Schneider, G.
- Venue
- Nature Machine Intelligence
- Published
- 2021-12-15
- Volume
- 3
- Issue
- 12
- Pages
- 1023-1032
- ISSN
- 2522-5839 (ISSN-L)
- OpenAlex
- W3185087522
- Cited by
- 373
- References
- 179
- FWCI
- 25.62
- Type
- journal article
- Language
- en
- Open access
- green
- Licence
- www.springernature.com/gp/researchers/text-and-data-mining (tdm)
- www.springernature.com/gp/researchers/text-and-data-mining (vor)
- Funders
- ETH RETHINK Initiative
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (205321_182176)
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