Graph Generation with a Prescribed Structure: From Deep Neural Networks to Quantum Models (A Case Study of Novel Drug Design)
DOI:
https://doi.org/10.71310/pcam.1_71.2026.11Keywords:
reinforcement learning, WGAN, implicit generative models, graph connectivity enforcement, quantum–classical hybrid models, molecular design, molecule generation benchmarksAbstract
The discovery of new chemical compounds with specified properties is a challenging problem in drug development. Many studies encode molecules as string representations derived from molecular graphs; however, this approach is computationally expensive and does not readily extend to general (non-molecular) graphs. Advances in graph deep learning make it possible to train generative models directly on graph representations, avoiding costly search in the discrete and extremely large space of chemical structures. MolGAN is a family of implicit models for generating small molecular graphs that combines generative adversarial networks (GANs) with reinforcement learning (RL) to produce molecules with target chemical properties. This review considers four variants: the baseline MolGAN (up to 9 atoms), Large MolGAN (up to 20 atoms) with a graph-expansion mechanism that reduces the generation of disconnected graphs, a MolGAN variant based on WGAN as a more stable alternative to standard GAN training, and a hybrid MolGAN incorporating quantum computing modules. The paper describes the model architectures, compares their performance on established benchmarks, and discusses limitations and directions for future research.
References
Hughes J.P., Rees S., Kalindjian S.B., Philpott K.L. Principles of early drug discovery // Brit. J. Pharmacol.. – 2011. – Vol. 162, №6. – P. 1239-1249. – doi: http://dx.doi.org/10.1111/j.1476-5381.2010.01127.x.
Wang F., Chen Y.T., Yang J.M., Akutsu T. A novel graph convolutional neural network for predicting interaction sites on protein kinase inhibitors in phosphorylation // Sci. Rep. – 2022. – Vol. 12, №1. – Art. no. 229. – doi: http://dx.doi.org/10.1038/s41598-021-04230-7.
Goodfellow I.J., et al. Generative adversarial networks // arXiv. – 2014. – arXiv:1406.2661. – doi: http://dx.doi.org/10.48550/arXiv.1406.2661.
Schmidt R.M. Recurrent neural networks (RNNs): A gentle introduction and overview // arXiv. – 2019. – arXiv:1912.05911. – doi: http://dx.doi.org/10.48550/arXiv.1912.05911.
Kingma D.P., Welling M. An introduction to variational autoencoders // Foundations and Trends in Mach. Learn. – 2019. – Vol. 12, №4. – P. 307-392. – doi: http://dx.doi.org/10.1561/2200000056.
Weininger D. SMILES, a chemical language and information system. 1. Introduction to methodology and encoding rules // J. Chem. Inf. Comput. Sci.. – 1988. – Vol. 28, №1. – P. 31-36. – doi: http://dx.doi.org/10.1021/ci00057a005.
De Cao N., Kipf T. MolGAN: An implicit generative model for small molecular graphs // arXiv. – 2018. – arXiv:1805.11973. – URL: https://arxiv.org/abs/1805.11973.
Arjovsky M., Chintala S., Bottou L.Wasserstein GAN // arXiv. – 2017. – arXiv:1701.07875. – doi: http://dx.doi.org/10.48550/arXiv.1701.07875.
Tsujimoto Y., Hiwa S., Nakamura Y., Oe Y., Hiroyasu T. L-MolGAN: An improved implicit generative model for large molecular graphs // ChemRxiv. – 2021. – doi: http://dx.doi.org/10.26434/chemrxiv.14569545.v2.
Bickerton G.R., Paolini G.V., Besnard J., Muresan S., Hopkins A.L. Quantifying the chemical beauty of drugs // Nat Chem. – 2012. – Vol. 4, №2. – P. 90-98. – doi: http://dx.doi.org/10.1038/nchem.1243.
Irwin J.J., Sterling T., Mysinger M.M., Bolstad E.S., Coleman R.G. ZINC: A free tool to discover chemistry for biology // J. Chem. Inf. Model.. – 2012. – Vol. 52, №7. – P. 1757-1768. – doi: http://dx.doi.org/10.1021/ci3001277.
Kingma D.P., Ba J. Adam: A method for stochastic optimization // arXiv. – 2014. – arXiv:1412.6980. – URL: https://arxiv.org/abs/1412.6980.
Salimans T., Goodfellow I., Zaremba W., Cheung V., Radford A., Chen X. Improved techniques for training GANs // arXiv. – 2016. – arXiv:1606.03498. – URL: https://arxiv.org/abs/1606.03498.
De Cao N., Kipf T. MolGAN: An implicit generative model for small molecular graphs // arXiv. – 2018. – arXiv:1805.11973v2. – URL: https://arxiv.org/abs/1805.11973v2.
Li Y., Vinyals O., Dyer C., Pascanu R., Battaglia P. Learning deep generative models of graphs // arXiv. – 2018. – arXiv:1803.03324. – URL: https://arxiv.org/abs/1803.03324.
Simonovsky M., Komodakis N. GraphVAE: Towards generation of small graphs using variational autoencoders // arXiv. – 2018. – arXiv:1802.03480. – URL: https://arxiv.org/abs/1802.03480.
Bruna J., Zaremba W., Szlam A., LeCun Y. Spectral networks and locally connected networks on graphs // arXiv. – 2013. – arXiv:1312.6203. – URL: http://arxiv.org/abs/1312.6203.
Duvenaud D., Maclaurin D., Aguilera-Iparraguirre J., G’omez-Bombarelli R., Hirzel T., et al. Convolutional networks on graphs for learning molecular fingerprints // Advances in Neural Information Processing Systems 28 (NIPS 2015). – 2015. – URL: https://proceedings.neurips.cc/paper/2015/hash/f9be311e65d81a9ad8150a60844bb94c-Abstract.html.
Kipf T.N., Welling M. Semi-supervised classification with graph convolutional networks // 5th International Conference on Learning Representations (ICLR). – 2017. – URL: https://openreview.net/forum?id=SJU4ayYgl.
Li Y., Tarlow D., Brockschmidt M., Zemel R.S. Gated graph sequence neural networks // arXiv. – 2015. – arXiv:1511.05493. – URL: http://arxiv.org/abs/1511.05493.
Gulrajani I., Ahmed F., Arjovsky M., Dumoulin V., Courville A.C. Improved training of Wasserstein GANs // Advances in Neural Information Processing Systems 30 (NIPS 2017). – 2017. – URL: https://proceedings.neurips.cc/paper/2017/hash/892c3b1c6dccd52936e27cbd0ff683d6-Abstract.
Silver D., Lever G., Heess N., Degris T., Wierstra D., Riedmiller M.A. Deterministic policy gradient algorithms // Proceedings of the 31st International Conference on Machine Learning. – 2014. – URL: http://proceedings.mlr.press/v32/silver14.html.
Schlichtkrull M., Kipf T., Bloem P., van den Berg R., Titov I., Welling M. Modeling relational data with graph convolutional networks // arXiv. – 2017. – arXiv:1703.06103. – URL: https://arxiv.org/abs/1703.06103.
Ramakrishnan R., Dral P.O., Rupp M., von Lilienfeld O.A. Quantum chemistry structures and properties of 134 kilo molecules // Sci. Data. – 2014. – Vol. 1. – Art. no. 140022. – doi: http://dx.doi.org/10.1038/sdata.2014.22.
Guimaraes G.L., Sanchez-Lengeling B., Farias P.L.C., Aspuru-Guzik A. Objectivereinforced generative adversarial networks (ORGAN) for sequence generation models // arXiv. – 2017. – arXiv:1705.10843. – URL: https://arxiv.org/abs/1705.10843.
G’omez-Bombarelli R., Wei J.N., Duvenaud D., Hern’andez-Lobato J.M., et al. Automatic chemical design using a data-driven continuous representation of molecules // ACS Central Science. – 2018. – Vol. 4, №2. – P. 268-276. – doi: http://dx.doi.org/10.1021/acscentsci.7b00572.
Kusner M.J., Paige B., Hern’andez-Lobato J.M. Grammar variational autoencoder // Proceedings of the 34th International Conference on Machine Learning. – 2017. – URL: http://proceedings.mlr.press/v70/kusner17a.html.
Srivastava N., Hinton G., Krizhevsky A., Sutskever I., Salakhutdinov R. Dropout: A simple way to prevent neural networks from overfitting // J. Mach. Learn. Res.. – 2014. – Vol. 15, №1. – P. 1929-1958.
Sagingalieva A., Mansell C., Zhiganov D., Shete V., Pflitsch M., Melnikov A. Hybrid Quantum Cycle Generative Adversarial Network for Small Molecule Generation // IEEE Trans. Quantum Eng.. – 2024. – Vol. 5. – P. 2500514. – doi: http://dx.doi.org/10.48550/arXiv.2402.00014.
Li J., Topaloglu R.O., Ghosh S. Quantum generative models for small molecule drug discovery // IEEE Trans. Quantum Eng.. – 2021. – Vol. 2. – Art. no. 3103308. – URL: https://doi.org/10.1109/TQE.2021.3104804.
Melnikov A., Kordzanganeh M., Alodjants A., Lee R.K. Quantum machine learning: From physics to software engineering // Adv. Phys.: X. – 2023. – Vol. 8, №1. – Art. no. 2165452. – doi: http://dx.doi.org/10.1080/23746149.2023.2165452.
Jerbi S., Fiderer L.J., Nautrup H.P., K‥ubler J.M., Briegel H.J., Dunjko V. Quantum machine learning beyond kernel methods // Nature Commun.. – 2023. – Vol. 14, №1. – Art. no. 517. – doi: http://dx.doi.org/10.1038/s41467-023-36159-y.
P’erez-Salinas A., Draˇski’c R., Tura J., Dunjko V. Shallow quantum circuits for deeper problems // Phys. Rev. A. – 2023. – Vol. 108. – Art. no. 062423. – doi: http://dx.doi.org/10.1103/PhysRevA.108.062423.
Simon C., Gyurik C.M., Dunjko V. High dimensional quantum machine learning with small quantum computers // Quantum. – 2023. – Vol. 7. – Art. no. 1078. – doi: http://dx.doi.org/10.22331/q-2023-08-09-1078.
Kordzanganeh M., Kosichkina D., Melnikov A. Parallel hybrid networks: An interplay between quantum and classical neural networks // Intell. Comput.. – 2023. – Vol. 2. – Art. no. 0028. – doi: http://dx.doi.org/10.34133/icomputing.0028.
Senokosov A., Sedykh A., Sagingalieva A., Kyriacou B., Melnikov A. Quantum machine learning for image classification // Mach. Learn.: Sci. Technol.. – 2024. – Vol. 5, №1. – Art. no. 015040. – doi: http://dx.doi.org/10.1088/2632-2153/ad2aef.
Li Y., Zhou R.G., Xu R., Luo J., Hu W. A quantum deep convolutional neural network for image recognition // Quantum Sci. Technol.. – 2020. – Vol. 5, №4. – Art. no. 044003. – doi: http://dx.doi.org/10.1088/2058-9565/ab9f93.
Mitarai K., Negoro M., Kitagawa M., Fujii K. Quantum circuit learning // Phys. Rev. A. – 2018. – Vol. 98, №3. – Art. no. 032309. – doi: http://dx.doi.org/10.1103/PhysRevA.98.032309.
Houssein E.H., Abohashima Z., Elhoseny M., Mohamed W.M. Hybrid quantum-classical convolutional neural network model for COVID-19 prediction using chest X-ray images // J. Comput. Des. Eng.. – 2022. – Vol. 9, №2. – P. 343-363. – doi: http://dx.doi.org/10.1093/jcde/qwac003.
Lusnig L., et al. Hybrid quantum image classification and federated learning for hepatic steatosis diagnosis // Diagnostics. – 2024. – Vol. 14, №5. – Art. no. 558. – doi: http://dx.doi.org/10.3390/diagnostics14050558.
Jain P., Ganguly S. Hybrid quantum generative adversarial networks for molecular simulation and drug discovery // arXiv. – 2022. – arXiv:2212.07826. – doi: http://dx.doi.org/10.48550/arXiv.2212.07826.
Sedykh A., Podapaka M., Sagingalieva A., Pinto K., Pflitsch M., Melnikov A. Hybrid quantum physics-informed neural networks for simulating computational fluid dynamics in complex shapes // Mach. Learn.: Sci. Technol.. – 2024. – Vol. 5, №2. – Art. no. 025045. – doi: http://dx.doi.org/10.1088/2632-2153/ad43b2.
Kurkin A., Hegemann J., Kordzanganeh M., Melnikov A. Forecasting the steam mass flow in a powerplant using the parallel hybrid network // arXiv. – 2023. – arXiv:2307.09483. – doi: http://dx.doi.org/10.48550/arXiv.2307.09483.
Sagingalieva A., et al. Photovoltaic power forecasting using quantum machine learning // arXiv. – 2023. – arXiv:2312.16379. – doi: http://dx.doi.org/10.48550/arXiv.2312.16379.
Rainjonneau S., et al. Quantum algorithms applied to satellite mission planning for earth observation // IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens.. – 2023. – Vol. 16. – P. 7062-7075. – doi: http://dx.doi.org/10.1109/JSTARS.2023.3287154.
Sagingalieva A., et al. Hybrid quantum ResNet for car classification and its hyperparameter optimization // Quantum Mach. Intell.. – 2023. – Vol. 5, №2. – Art. no. 38. – doi: http://dx.doi.org/10.1007/s42484-023-00123-2.
Landman J., et al. Quantum methods for neural networks and application to medical image classification // Quantum. – 2022. – Vol. 6. – Art. no. 881. – doi: http://dx.doi.org/10.22331/q-2022-12-22-881.
Perelshtein M., et al. Practical application-specific advantage through hybrid quantum computing // arXiv. – 2022. – arXiv:2205.04858. – doi: http://dx.doi.org/10.48550/arXiv.2205.04858.
Maziarka L., Pocha A., Kaczmarczyk J., Rataj K., Danel T., Warcho l M. Mol-CycleGAN: A generative model for molecular optimization // J. Cheminform.. – 2020. – Vol. 12. – Art. no. 1. – doi: http://dx.doi.org/10.1186/s13321-019-0404-1.
Kao P.Y., et al. Exploring the advantages of quantum generative adversarial networks in generative chemistry // J. Chem. Inf. Model.. – 2023. – Vol. 63, №11. – P. 3307-3318. – doi: http://dx.doi.org/10.1021/acs.jcim.3c00562.
Kordzanganeh M., et al. Benchmarking simulated and physical quantum processing units using quantum and hybrid algorithms // Adv. Quantum Technol.. – 2023. – Vol. 6, №8. – Art. no. 2300043. – doi: http://dx.doi.org/10.1002/qute.202300043.
Kordzanganeh M., Sekatski P., Fedichkin L., Melnikov A. An exponentially-growing family of universal quantum circuits // Mach. Learn.: Sci. Technol.. – 2023. – Vol. 4, №3. – Art. no. 035036. – doi: http://dx.doi.org/10.1088/2632-2153/ace757.
Zhu J.Y., Park T., Isola P., Efros A.A. Unpaired image-to-image translation using cycleconsistent adversarial networks // Proc. IEEE Int. Conf. Comput. Vis.. – 2017. – P. 2242-2251. – doi: http://dx.doi.org/10.1109/ICCV.2017.244.
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