Learning 3D Representations of Molecular Chirality with Invariance to Bond Rotations
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Abstract (arXiv)
Molecular chirality, a form of stereochemistry most often describing relative spatial arrangements of bonded neighbors around tetrahedral carbon centers, influences the set of 3D conformers accessible to the molecule without changing its 2D graph connectivity. Chirality can strongly alter (bio)chemical interactions, particularly protein-drug binding. Most 2D graph neural networks (GNNs) designed for molecular property prediction at best use atomic labels to na"ively treat chirality, while E(3)-invariant 3D GNNs are invariant to chirality altogether. To enable representation learning on molecules with defined stereochemistry, we design an SE(3)-invariant model that processes torsion angles of a 3D molecular conformer. We explicitly model conformational flexibility by integrating a novel type of invariance to rotations about internal molecular bonds into the architecture, mitigating the need for multi-conformer data augmentation. We test our model on four benchmarks: contrastive learning to distinguish conformers of different stereoisomers in a learned latent space, classification of chiral centers as R/S, prediction of how enantiomers rotate circularly polarized light, and ranking enantiomers by their docking scores in an enantiosensitive protein pocket. We compare our model, Chiral InterRoto-Invariant Neural Network (ChIRo), with 2D and 3D GNNs to demonstrate that our model achieves state of the art performance when learning chiral-sensitive functions from molecular structures.
Key facts. Cited by 29 papers in the map (data through 14 Oct 2026). Builds on 33 of its 58 references that are in the map. First posted on arXiv 8 Oct 2021.
Builds on
33 of 58 references.
References · 33
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2017Graph Attention Networkscited by 8,923
- 2017Neural Message Passing for Quantum Chemistrycited by 3,487
- 2019Optuna: A Next-generation Hyperparameter Optimization Frameworkcited by 2,501
- 2019Fast Graph Representation Learning with PyTorch Geometriccited by 2,434
- 2021E(n) Equivariant Graph Neural Networkscited by 965
- 2015Convolutional Networks on Graphs for Learning Molecular Fingerprintscited by 754
- 2018Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point cloudscited by 746
- 2020SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networkscited by 607
- 2017SchNet: A continuous-filter convolutional neural network for modeling quantum interactionscited by 571
- 2020Directional Message Passing for Molecular Graphscited by 561
- 2018Tune: A Research Platform for Distributed Model Selection and Trainingcited by 395
21 more
- 2019Analyzing Learned Molecular Representations for Property Predictioncited by 375
- 2021GemNet: Universal Directional Graph Neural Networks for Moleculescited by 343
- 2017Dynamic Edge-Conditioned Filters in Convolutional Neural Networks on Graphscited by 310
- 2018GuacaMol: Benchmarking Models for De Novo Molecular Designcited by 297
- 2021Therapeutics Data Commons: Machine Learning Datasets and Tasks for Drug Discovery and Developmentcited by 264
- 2020Fast and Uncertainty-Aware Directional Message Passing for Non-Equilibrium Moleculescited by 255
- 2016Molecular Graph Convolutions: Moving Beyond Fingerprintscited by 238
- 2021Spherical Message Passing for 3D Graph Networkscited by 168
- 2016Discriminative Embeddings of Latent Variable Models for Structured Datacited by 131
- 2021GeoMol: Torsional Geometric Generation of Molecular 3D Conformer Ensemblescited by 107
- 2019Molecular geometry prediction using a deep generative graph neural networkcited by 91
- 2021Learning Neural Generative Dynamics for Molecular Conformation Generationcited by 88
- 2019A Generative Model for Molecular Distance Geometrycited by 73
- 2019Deep learning for molecular design - a review of the state of the artcited by 38
- 2019Chirality Nets for Human Pose Regressioncited by 31
- 2020Molecular machine learning with conformer ensemblescited by 27
- 2020Neural Message Passing on High Order Pathscited by 17
- 2020Visual Chiralitycited by 14
- 2020Message Passing Networks for Molecules with Tetrahedral Chiralitycited by 14
- 2021Auto-Encoding Molecular Conformationscited by 8
- 2020Attention-Based Learning on Molecular Ensemblescited by 4
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Citing papers per year: 2022: 9; 2023: 8; 2024: 4; 2025: 3; 2026: 5.
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- 2022Structure-based Drug Design with Equivariant Diffusion Modelscited by 217
- 2023FAENet: Frame Averaging Equivariant GNN for Materials Modelingcited by 73
- 2022ComENet: Towards Complete and Efficient Message Passing for 3D Molecular Graphscited by 69
- 2023A Hitchhiker's Guide to Geometric GNNs for 3D Atomic Systemscited by 68
- 2023Graph Positional and Structural Encodercited by 33
- 2024Diffusion Models in textitDe Novo Drug Designcited by 26
- 2022Graph Neural Networks for Moleculescited by 21
- 2022Geometry-Complete Perceptron Networks for 3D Molecular Graphscited by 16
- 2024On the Completeness of Invariant Geometric Deep Learning Modelscited by 11
- 20223D Graph Contrastive Learning for Molecular Property Predictioncited by 9
- 2023Learning Over Molecular Conformer Ensembles: Datasets and Benchmarkscited by 9
- 2022PhAST: Physics-Aware, Scalable, and Task-specific GNNs for Accelerated Catalyst Designcited by 6
17 more
- 2023Knowledge-augmented Graph Machine Learning for Drug Discovery: A Surveycited by 6
- 2023ChiENN: Embracing Molecular Chirality with Graph Neural Networkscited by 6
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- 2022MolNet: A Chemically Intuitive Graph Neural Network for Prediction of Molecular Propertiescited by 3
- 2022A 3D-Shape Similarity-based Contrastive Approach to Molecular Representation Learningcited by 2
- 2023Geometric Deep Learning for Structure-Based Drug Design: A Surveycited by 2
- 2026Learning Molecular Chirality via Chiral Determinant Kernelscited by 2
- 2023SE(3)-Invariant Multiparameter Persistent Homology for Chiral-Sensitive Molecular Property Predictioncited by 1
- 2024Predicting the Temperature Dependence of Surfactant CMCs Using Graph Neural Networkscited by 1
- 2022Predicting Protein-Ligand Binding Affinity with Equivariant Line Graph Networkcited by 0
- 2025Urban delineation through the lens of commute networks: Leveraging graph embeddings to distinguish socioeconomic groups in citiescited by 0
- 2025Chi-Geometry: A Library for Benchmarking Chirality Prediction of GNNscited by 0
- 2026Cross-Chirality Generalization by Axial Vectors for Hetero-Chiral Protein-Peptide Interaction Designcited by 0
- 2026h-MINT: Modeling Pocket-Ligand Binding with Hierarchical Molecular Interaction Networkcited by 0
- 2026PhysECD: A Physics-Constrained E(3)-Equivariant Framework for Electronic Circular Dichroism Spectrum Predictioncited by 0
- 2026GSF-chi: Global Stereochemical Fields for Chiral Graph Transformerscited by 0
- 2026GSF-chi: Global Stereochemical Fields for Chiral Graph Transformers11 Sep 2026
- 2026PhysECD: A Physics-Constrained E(3)-Equivariant Framework for Electronic Circular Dichroism Spectrum Prediction22 Aug 2026
- 2026h-MINT: Modeling Pocket-Ligand Binding with Hierarchical Molecular Interaction Network25 Apr 2026
- 2026Cross-Chirality Generalization by Axial Vectors for Hetero-Chiral Protein-Peptide Interaction Design13 Feb 2026
- 2026Learning Molecular Chirality via Chiral Determinant Kernels7 Feb 2026
- 2025Molecular Machine Learning in Chemical Process Design28 Aug 2025
- 2025Chi-Geometry: A Library for Benchmarking Chirality Prediction of GNNs12 Aug 2025
- 2025Urban delineation through the lens of commute networks: Leveraging graph embeddings to distinguish socioeconomic groups in cities15 Jul 2025
- 2024Diffusion Models in textitDe Novo Drug Design7 Jun 2024
- 2024Predicting the Temperature Dependence of Surfactant CMCs Using Graph Neural Networks6 Mar 2024
- 2024E(3)-equivariant models cannot learn chirality: Field-based molecular generation24 Feb 2024
- 2024On the Completeness of Invariant Geometric Deep Learning Models7 Feb 2024
17 more
- 2023SE(3)-Invariant Multiparameter Persistent Homology for Chiral-Sensitive Molecular Property Prediction12 Dec 2023
- 2023A Hitchhiker's Guide to Geometric GNNs for 3D Atomic Systems12 Dec 2023
- 2023Learning Over Molecular Conformer Ensembles: Datasets and Benchmarks29 Sep 2023
- 2023Graph Positional and Structural Encoder14 Jul 2023
- 2023ChiENN: Embracing Molecular Chirality with Graph Neural Networks5 Jul 2023
- 2023Geometric Deep Learning for Structure-Based Drug Design: A Survey20 Jun 2023
- 2023FAENet: Frame Averaging Equivariant GNN for Materials Modeling28 Apr 2023
- 2023Knowledge-augmented Graph Machine Learning for Drug Discovery: A Survey16 Feb 2023
- 2022PhAST: Physics-Aware, Scalable, and Task-specific GNNs for Accelerated Catalyst Design22 Nov 2022
- 2022Geometry-Complete Perceptron Networks for 3D Molecular Graphs4 Nov 2022
- 2022A 3D-Shape Similarity-based Contrastive Approach to Molecular Representation Learning3 Nov 2022
- 2022Predicting Protein-Ligand Binding Affinity with Equivariant Line Graph Network27 Oct 2022
- 2022Structure-based Drug Design with Equivariant Diffusion Models24 Oct 2022
- 2022Graph Neural Networks for Molecules12 Sep 2022
- 2022ComENet: Towards Complete and Efficient Message Passing for 3D Molecular Graphs17 Jun 2022
- 20223D Graph Contrastive Learning for Molecular Property Prediction31 May 2022
- 2022MolNet: A Chemically Intuitive Graph Neural Network for Prediction of Molecular Properties1 Feb 2022
- 2022Structure-based Drug Design with Equivariant Diffusion Modelscited by 217
- 2024Diffusion Models in textitDe Novo Drug Designcited by 26
- 2024Diffusion Models in textitDe Novo Drug Design7 Jun 2024
- 2022Structure-based Drug Design with Equivariant Diffusion Models24 Oct 2022
- 2023FAENet: Frame Averaging Equivariant GNN for Materials Modelingcited by 73
- 2022ComENet: Towards Complete and Efficient Message Passing for 3D Molecular Graphscited by 69
- 2023A Hitchhiker's Guide to Geometric GNNs for 3D Atomic Systemscited by 68
- 2023Graph Positional and Structural Encodercited by 33
- 2022Graph Neural Networks for Moleculescited by 21
- 2022Geometry-Complete Perceptron Networks for 3D Molecular Graphscited by 16
- 2024On the Completeness of Invariant Geometric Deep Learning Modelscited by 11
- 20223D Graph Contrastive Learning for Molecular Property Predictioncited by 9
- 2023Learning Over Molecular Conformer Ensembles: Datasets and Benchmarkscited by 9
- 2022PhAST: Physics-Aware, Scalable, and Task-specific GNNs for Accelerated Catalyst Designcited by 6
- 2023Knowledge-augmented Graph Machine Learning for Drug Discovery: A Surveycited by 6
- 2023ChiENN: Embracing Molecular Chirality with Graph Neural Networkscited by 6
12 most cited of 27 All 27 (JSON)
- 2026GSF-chi: Global Stereochemical Fields for Chiral Graph Transformers11 Sep 2026
- 2026PhysECD: A Physics-Constrained E(3)-Equivariant Framework for Electronic Circular Dichroism Spectrum Prediction22 Aug 2026
- 2026h-MINT: Modeling Pocket-Ligand Binding with Hierarchical Molecular Interaction Network25 Apr 2026
- 2026Cross-Chirality Generalization by Axial Vectors for Hetero-Chiral Protein-Peptide Interaction Design13 Feb 2026
- 2026Learning Molecular Chirality via Chiral Determinant Kernels7 Feb 2026
- 2025Molecular Machine Learning in Chemical Process Design28 Aug 2025
- 2025Chi-Geometry: A Library for Benchmarking Chirality Prediction of GNNs12 Aug 2025
- 2025Urban delineation through the lens of commute networks: Leveraging graph embeddings to distinguish socioeconomic groups in cities15 Jul 2025
- 2024Predicting the Temperature Dependence of Surfactant CMCs Using Graph Neural Networks6 Mar 2024
- 2024E(3)-equivariant models cannot learn chirality: Field-based molecular generation24 Feb 2024
- 2024On the Completeness of Invariant Geometric Deep Learning Models7 Feb 2024
- 2023SE(3)-Invariant Multiparameter Persistent Homology for Chiral-Sensitive Molecular Property Prediction12 Dec 2023
12 newest of 27 All 27 (JSON)