mlsanityData to 7 Oct 2026

GeoMol: Torsional Geometric Generation of Molecular 3D Conformer Ensembles

arXiv 2106.07802 ↗First posted 8 Jun 2021physics.chem-ph cs.LGcited by 106

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Cited by 28 in Diffusion models, but placed by its own abstract, which didn’t fit.

Abstract (arXiv)

Prediction of a molecule's 3D conformer ensemble from the molecular graph holds a key role in areas of cheminformatics and drug discovery. Existing generative models have several drawbacks including lack of modeling important molecular geometry elements (e.g. torsion angles), separate optimization stages prone to error accumulation, and the need for structure fine-tuning based on approximate classical force-fields or computationally expensive methods such as metadynamics with approximate quantum mechanics calculations at each geometry. We propose GeoMol--an end-to-end, non-autoregressive and SE(3)-invariant machine learning approach to generate distributions of low-energy molecular 3D conformers. Leveraging the power of message passing neural networks (MPNNs) to capture local and global graph information, we predict local atomic 3D structures and torsion angles, avoiding unnecessary over-parameterization of the geometric degrees of freedom (e.g. one angle per non-terminal bond). Such local predictions suffice both for the training loss computation, as well as for the full deterministic conformer assembly (at test time). We devise a non-adversarial optimal transport based loss function to promote diverse conformer generation. GeoMol predominantly outperforms popular open-source, commercial, or state-of-the-art machine learning (ML) models, while achieving significant speed-ups. We expect such differentiable 3D structure generators to significantly impact molecular modeling and related applications.

Key facts. Cited by 106 papers in the map (data through 7 Oct 2026). Builds on 17 of its 57 references that are in the map. First posted on arXiv 8 Jun 2021.

Builds on

17 of 57 references.

References · 17

  1. 2017Attention Is All You Needcited by 59,932
  2. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  3. 2017Graph Attention Networkscited by 8,854
  4. 2017Inductive Representation Learning on Large Graphscited by 6,284
  5. 2018How Powerful are Graph Neural Networks?cited by 4,355
  6. 2017Neural Message Passing for Quantum Chemistrycited by 3,460
  7. 2018Relational inductive biases, deep learning, and graph networkscited by 1,341
  8. 2020Directional Message Passing for Molecular Graphscited by 556
  9. 2021Equivariant message passing for the prediction of tensorial properties and molecular spectracited by 438
  10. 2019Analyzing Learned Molecular Representations for Property Predictioncited by 373
  11. 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
  12. 2020Generalization and Representational Limits of Graph Neural Networkscited by 217
5 more
  1. 2019Molecular geometry prediction using a deep generative graph neural networkcited by 91
  2. 2021Learning Neural Generative Dynamics for Molecular Conformation Generationcited by 87
  3. 2019A Generative Model for Molecular Distance Geometrycited by 73
  4. 2020Molecular machine learning with conformer ensemblescited by 27
  5. 2020Message Passing Networks for Molecules with Tetrahedral Chiralitycited by 14

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 7; 2022: 19; 2023: 31; 2024: 18; 2025: 19; 2026: 12.

106 papers.

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  1. 2022Equivariant Diffusion for Molecule Generation in 3Dcited by 666
  2. 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generationcited by 511
  3. 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 268
  4. 2022Torsional Diffusion for Molecular Conformer Generationcited by 262
  5. 2022Long Range Graph Benchmarkcited by 258
  6. 2022Graph neural networks for materials science and chemistrycited by 181
  7. 20213D Infomax improves GNNs for Molecular Property Predictioncited by 146
  8. 2022EquiBind: Geometric Deep Learning for Drug Binding Structure Predictioncited by 143
  9. 2022Generating 3D Molecules for Target Protein Bindingcited by 104
  10. 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
  11. 2021Independent SE(3)-Equivariant Models for End-to-End Rigid Protein Dockingcited by 81
  12. 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
38 more
  1. 2025Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matchingcited by 78
  2. 2021SE(3) Equivariant Graph Neural Networks with Complete Local Framescited by 75
  3. 2022ComENet: Towards Complete and Efficient Message Passing for 3D Molecular Graphscited by 69
  4. 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Designcited by 66
  5. 2023Particle Guidance: non-I.I.D. Diverse Sampling with Diffusion Modelscited by 65
  6. 2023Swallowing the Bitter Pill: Simplified Scalable Conformer Generationcited by 55
  7. 2023Scalable Diffusion for Materials Generationcited by 52
  8. 2024ET-Flow: Equivariant Flow-Matching for Molecular Conformer Generationcited by 41
  9. 2023Efficient and Equivariant Graph Networks for Predicting Quantum Hamiltoniancited by 38
  10. 20233D molecule generation by denoising voxel gridscited by 38
  11. 2022E3Bind: An End-to-End Equivariant Network for Protein-Ligand Dockingcited by 35
  12. 2021Molecule3D: A Benchmark for Predicting 3D Geometries from Molecular Graphscited by 31
  13. 2022Direct Molecular Conformation Generationcited by 30
  14. 2021Learning 3D Representations of Molecular Chirality with Invariance to Bond Rotationscited by 29
  15. 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
  16. 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applicationscited by 28
  17. 2022Graph Neural Networks for Moleculescited by 21
  18. 2022Equivariant Shape-Conditioned Generation of 3D Molecules for Ligand-Based Drug Designcited by 19
  19. 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generationcited by 17
  20. 2025Periodic Materials Generation using Text-Guided Joint Diffusion Modelcited by 15
  21. 2022The Open MatSci ML Toolkit: A Flexible Framework for Machine Learning in Materials Sciencecited by 14
  22. 2023Towards equilibrium molecular conformation generation with GFlowNetscited by 14
  23. 2022Scalable Fragment-Based 3D Molecular Design with Reinforcement Learningcited by 11
  24. 2023Manifold Diffusion Fieldscited by 11
  25. 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraintscited by 10
  26. 2023An Equivariant Generative Framework for Molecular Graph-Structure Co-Designcited by 10
  27. 2023Comprehensive evaluation of deep and graph learning on drug-drug interactions predictioncited by 10
  28. 2024Weisfeiler Leman for Euclidean Equivariant Machine Learningcited by 10
  29. 2024Geometry Informed Tokenization of Molecules for Language Model Generationcited by 10
  30. 20223D Graph Contrastive Learning for Molecular Property Predictioncited by 9
  31. 2024Molecular relaxation by reverse diffusion with time step predictioncited by 9
  32. 2023Do Deep Learning Methods Really Perform Better in Molecular Conformation Generation?cited by 8
  33. 2024Generative AI and Process Systems Engineering: The Next Frontiercited by 8
  34. 2022Transferable E(3) equivariant parameterization for Hamiltonian of molecules and solidscited by 7
  35. 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
  36. 2023CoarsenConf: Equivariant Coarsening with Aggregated Attention for Molecular Conformer Generationcited by 7
  37. 2023ChiENN: Embracing Molecular Chirality with Graph Neural Networkscited by 6
  38. 2025Feynman-Kac-Flow: Inference Steering of Conditional Flow Matching to an Energy-Tilted Posteriorcited by 6

50 most cited of 106 All 106 (JSON)