GeoMol: Torsional Geometric Generation of Molecular 3D Conformer Ensembles
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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
- 2017Attention Is All You Needcited by 59,932
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
- 2017Graph Attention Networkscited by 8,854
- 2017Inductive Representation Learning on Large Graphscited by 6,284
- 2018How Powerful are Graph Neural Networks?cited by 4,355
- 2017Neural Message Passing for Quantum Chemistrycited by 3,460
- 2018Relational inductive biases, deep learning, and graph networkscited by 1,341
- 2020Directional Message Passing for Molecular Graphscited by 556
- 2021Equivariant message passing for the prediction of tensorial properties and molecular spectracited by 438
- 2019Analyzing Learned Molecular Representations for Property Predictioncited by 373
- 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
- 2020Generalization and Representational Limits of Graph Neural Networkscited by 217
5 more
- 2019Molecular geometry prediction using a deep generative graph neural networkcited by 91
- 2021Learning Neural Generative Dynamics for Molecular Conformation Generationcited by 87
- 2019A Generative Model for Molecular Distance Geometrycited by 73
- 2020Molecular machine learning with conformer ensemblescited by 27
- 2020Message Passing Networks for Molecules with Tetrahedral Chiralitycited by 14
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Citing papers per year: 2021: 7; 2022: 19; 2023: 31; 2024: 18; 2025: 19; 2026: 12.
106 papers.
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- 2022Equivariant Diffusion for Molecule Generation in 3Dcited by 666
- 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generationcited by 511
- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 268
- 2022Torsional Diffusion for Molecular Conformer Generationcited by 262
- 2022Long Range Graph Benchmarkcited by 258
- 2022Graph neural networks for materials science and chemistrycited by 181
- 20213D Infomax improves GNNs for Molecular Property Predictioncited by 146
- 2022EquiBind: Geometric Deep Learning for Drug Binding Structure Predictioncited by 143
- 2022Generating 3D Molecules for Target Protein Bindingcited by 104
- 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
- 2021Independent SE(3)-Equivariant Models for End-to-End Rigid Protein Dockingcited by 81
- 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
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- 2022E3Bind: An End-to-End Equivariant Network for Protein-Ligand Dockingcited by 35
- 2021Molecule3D: A Benchmark for Predicting 3D Geometries from Molecular Graphscited by 31
- 2022Direct Molecular Conformation Generationcited by 30
- 2021Learning 3D Representations of Molecular Chirality with Invariance to Bond Rotationscited by 29
- 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applicationscited by 28
- 2022Graph Neural Networks for Moleculescited by 21
- 2022Equivariant Shape-Conditioned Generation of 3D Molecules for Ligand-Based Drug Designcited by 19
- 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generationcited by 17
- 2025Periodic Materials Generation using Text-Guided Joint Diffusion Modelcited by 15
- 2022The Open MatSci ML Toolkit: A Flexible Framework for Machine Learning in Materials Sciencecited by 14
- 2023Towards equilibrium molecular conformation generation with GFlowNetscited by 14
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- 2023An Equivariant Generative Framework for Molecular Graph-Structure Co-Designcited by 10
- 2023Comprehensive evaluation of deep and graph learning on drug-drug interactions predictioncited by 10
- 2024Weisfeiler Leman for Euclidean Equivariant Machine Learningcited by 10
- 2024Geometry Informed Tokenization of Molecules for Language Model Generationcited by 10
- 20223D Graph Contrastive Learning for Molecular Property Predictioncited by 9
- 2024Molecular relaxation by reverse diffusion with time step predictioncited by 9
- 2023Do Deep Learning Methods Really Perform Better in Molecular Conformation Generation?cited by 8
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- 2022Transferable E(3) equivariant parameterization for Hamiltonian of molecules and solidscited by 7
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
- 2023CoarsenConf: Equivariant Coarsening with Aggregated Attention for Molecular Conformer Generationcited by 7
- 2023ChiENN: Embracing Molecular Chirality with Graph Neural Networkscited by 6
- 2025Feynman-Kac-Flow: Inference Steering of Conditional Flow Matching to an Energy-Tilted Posteriorcited by 6
50 most cited of 106 All 106 (JSON)
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- 2026Geometric Flow Matching for Molecular Conformation Generation via Manifold Decomposition25 May 2026
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- 2026Flow Sampling: Learning to Sample from Unnormalized Densities via Denoising Conditional Processes5 May 2026
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- 2026Recurrent Equivariant Constraint Modulation: Learning Per-Layer Symmetry Relaxation from Data2 Feb 2026
- 2026A Cross-Domain Graph Learning Protocol for Single-Step Molecular Geometry Refinement30 Jan 2026
- 2026Generating Cyclic Conformers with Flow Matching in Cremer-Pople Coordinates19 Jan 2026
- 2026Breaking the Bottlenecks: Scalable Diffusion Models for 3D Molecular Generation13 Jan 2026
38 more
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- 2025SpecMol: A Spectroscopy-Grounded Foundation Model for Multi-Task Molecular Learning26 Sep 2025
- 2025Feynman-Kac-Flow: Inference Steering of Conditional Flow Matching to an Energy-Tilted Posterior1 Sep 2025
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- 2025Efficient Molecular Conformer Generation with SO(3)-Averaged Flow Matching and Reflow13 Jul 2025
- 2025A standard transformer and attention with linear biases for molecular conformer generation24 Jun 2025
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- 2025Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matching16 Apr 2025
- 2025PolyConf: Unlocking Polymer Conformation Generation through Hierarchical Generative Models11 Apr 2025
- 2025Periodic Materials Generation using Text-Guided Joint Diffusion Model1 Mar 2025
- 2025The impact of conformer quality on learned representations of molecular conformer ensembles18 Feb 2025
- 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generation18 Feb 2025
- 2025Rao-Blackwell Gradient Estimators for Equivariant Denoising Diffusion14 Feb 2025
- 2024EquiFlow: Equivariant Conditional Flow Matching with Optimal Transport for 3D Molecular Conformation Prediction15 Dec 2024
- 2024Conformation Generation using Transformer Flows16 Nov 2024
- 2024ET-Flow: Equivariant Flow-Matching for Molecular Conformer Generation29 Oct 2024
- 2024Equivariant Blurring Diffusion for Hierarchical Molecular Conformer Generation26 Oct 2024
- 2024Physical Consistency Bridges Heterogeneous Data in Molecular Multi-Task Learning14 Oct 2024
- 2024Efficient Generation of Molecular Clusters with Dual-Scale Equivariant Flow Matching10 Oct 2024
- 2024REBIND: Enhancing ground-state molecular conformation via force-based graph rewiring4 Oct 2024
- 2024Mitigating Exposure Bias in Score-Based Generation of Molecular Conformations21 Sep 2024
- 2024Geometry Informed Tokenization of Molecules for Language Model Generation19 Aug 2024
- 2024SubGDiff: A Subgraph Diffusion Model to Improve Molecular Representation Learning9 May 2024
- 2024Molecular relaxation by reverse diffusion with time step prediction16 Apr 2024
- 2024On Diffusion Process in SE(3)-invariant Space3 Mar 2024
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applications1 Mar 2024
- 2024Structure-Based Drug Design via 3D Molecular Generative Pre-training and Sampling22 Feb 2024
- 2024Generative AI and Process Systems Engineering: The Next Frontier15 Feb 2024
- 2024Emerging Opportunities of Using Large Language Models for Translation Between Drug Molecules and Indications14 Feb 2024
- 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generation13 Feb 2024
- 2024Weisfeiler Leman for Euclidean Equivariant Machine Learning4 Feb 2024
- 2023Diffusion-Driven Generative Framework for Molecular Conformation Prediction22 Dec 2023
50 newest of 106 All 106 (JSON)
- 2022Equivariant Diffusion for Molecule Generation in 3Dcited by 666
- 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generationcited by 511
- 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
- 2025Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matchingcited by 78
- 2023Particle Guidance: non-I.I.D. Diverse Sampling with Diffusion Modelscited by 65
- 2023Swallowing the Bitter Pill: Simplified Scalable Conformer Generationcited by 55
- 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generationcited by 17
- 2025Periodic Materials Generation using Text-Guided Joint Diffusion Modelcited by 15
- 2023Manifold Diffusion Fieldscited by 11
- 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraintscited by 10
- 2025Feynman-Kac-Flow: Inference Steering of Conditional Flow Matching to an Energy-Tilted Posteriorcited by 6
- 2025Sampling 3D Molecular Conformers with Diffusion Transformerscited by 5
12 most cited of 28 All 28 (JSON)
- 2026Geometric Flow Matching for Molecular Conformation Generation via Manifold Decomposition25 May 2026
- 2026Flow Sampling: Learning to Sample from Unnormalized Densities via Denoising Conditional Processes5 May 2026
- 2026Quotient-Space Diffusion Models23 Apr 2026
- 2026Breaking the Bottlenecks: Scalable Diffusion Models for 3D Molecular Generation13 Jan 2026
- 2025FlexiFlow: decomposable flow matching for generation of flexible molecular ensemble21 Nov 2025
- 2025Chemistry-Enhanced Diffusion-Based Framework for Small-to-Large Molecular Conformation Generation15 Nov 2025
- 2025Flow-Matching Based Refiner for Molecular Conformer Generation6 Oct 2025
- 2025Feynman-Kac-Flow: Inference Steering of Conditional Flow Matching to an Energy-Tilted Posterior1 Sep 2025
- 2025Efficient Molecular Conformer Generation with SO(3)-Averaged Flow Matching and Reflow13 Jul 2025
- 2025Sampling 3D Molecular Conformers with Diffusion Transformers18 Jun 2025
- 2025Adjoint Sampling: Highly Scalable Diffusion Samplers via Adjoint Matching16 Apr 2025
- 2025Periodic Materials Generation using Text-Guided Joint Diffusion Model1 Mar 2025
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- 2021Crystal Diffusion Variational Autoencoder for Periodic Material Generationcited by 268
- 2022Torsional Diffusion for Molecular Conformer Generationcited by 262
- 2022Long Range Graph Benchmarkcited by 258
- 2022Graph neural networks for materials science and chemistrycited by 181
- 20213D Infomax improves GNNs for Molecular Property Predictioncited by 146
- 2022EquiBind: Geometric Deep Learning for Drug Binding Structure Predictioncited by 143
- 2022Generating 3D Molecules for Target Protein Bindingcited by 104
- 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
- 2021Independent SE(3)-Equivariant Models for End-to-End Rigid Protein Dockingcited by 81
- 2021SE(3) Equivariant Graph Neural Networks with Complete Local Framescited by 75
- 2022ComENet: Towards Complete and Efficient Message Passing for 3D Molecular Graphscited by 69
- 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Designcited by 66
12 most cited of 78 All 78 (JSON)
- 2026A Systematic Evaluation of Molecule Generation Models for De Novo Drug Design: From Benchmarks to Practical Insights9 Sep 2026
- 2026Expanding Flow Maps23 Jul 2026
- 2026EnsembleEGNN: Set-Based Graph Learning for Thermodynamic Ensembles of Cyclic Peptides23 Jul 2026
- 2026Equivariant Neural Belief Propagation4 Jun 2026
- 2026SymDrift: One-Shot Generative Modeling under Symmetries7 May 2026
- 2026Recurrent Equivariant Constraint Modulation: Learning Per-Layer Symmetry Relaxation from Data2 Feb 2026
- 2026A Cross-Domain Graph Learning Protocol for Single-Step Molecular Geometry Refinement30 Jan 2026
- 2026Generating Cyclic Conformers with Flow Matching in Cremer-Pople Coordinates19 Jan 2026
- 2025Energy-Guided Generative Modeling for Low-Energy Molecular Structure Discovery27 Dec 2025
- 2025Unified Molecule Pre-training with Flexible 2D and 3D Modalities: Single and Paired Modality Integration8 Oct 2025
- 2025SpecMol: A Spectroscopy-Grounded Foundation Model for Multi-Task Molecular Learning26 Sep 2025
- 2025HemePLM-Diffuse: A Scalable Generative Framework for Protein-Ligand Dynamics in Large Biomolecular System7 Aug 2025
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