Equivariant Graph Neural Networks for 3D Macromolecular Structure
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Abstract (arXiv)
Representing and reasoning about 3D structures of macromolecules is emerging as a distinct challenge in machine learning. Here, we extend recent work on geometric vector perceptrons and apply equivariant graph neural networks to a wide range of tasks from structural biology. Our method outperforms all reference architectures on three out of eight tasks in the ATOM3D benchmark, is tied for first on two others, and is competitive with equivariant networks using higher-order representations and spherical harmonic convolutions. In addition, we demonstrate that transfer learning can further improve performance on certain downstream tasks. Code is available at https://github.com/drorlab/gvp-pytorch.
Key facts. Cited by 53 papers in the map (data through 14 Oct 2026). Builds on 10 of its 19 references that are in the map. First posted on arXiv 7 Jun 2021.
Builds on
10 of 19 references.
References · 10
- 2021E(n) Equivariant Graph Neural Networkscited by 965
- 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
- 2021Equivariant message passing for the prediction of tensorial properties and molecular spectracited by 441
- 2020Learning from Protein Structure with Geometric Vector Perceptronscited by 313
- 2019Cormorant: Covariant Molecular Neural Networkscited by 263
- 2020ATOM3D: Tasks On Molecules in Three Dimensionscited by 74
- 2018N-body Networks: a Covariant Hierarchical Neural Network Architecture for Learning Atomic Potentialscited by 42
- 2020Protein model quality assessment using rotation-equivariant, hierarchical neural networkscited by 8
- 2021Protein sequence-to-structure learning: Is this the end(-to-end revolution)?cited by 3
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Citing papers per year: 2021: 2; 2022: 7; 2023: 17; 2024: 10; 2025: 10; 2026: 7.
53 papers.
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- 2022Pocket2Mol: Efficient Molecular Sampling Based on 3D Protein Pocketscited by 183
- 2022DiffBP: Generative Diffusion of 3D Molecules for Target Protein Bindingcited by 58
- 2022Learning Hierarchical Protein Representations via Complete 3D Graph Networkscited by 55
- 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generationcited by 54
- 2023Functional-Group-Based Diffusion for Pocket-Specific Molecule Generation and Elaborationcited by 30
- 2023Learning Subpocket Prototypes for Generalizable Structure-based Drug Designcited by 25
- 2023Over-Squashing in Graph Neural Networks: A Comprehensive surveycited by 23
- 2023Uncovering Neural Scaling Laws in Molecular Representation Learningcited by 23
- 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generationcited by 21
- 2022Equivariant Graph Attention Networks for Molecular Property Predictioncited by 20
- 2023Generalist Equivariant Transformer Towards 3D Molecular Interaction Learningcited by 19
- 2023FABind: Fast and Accurate Protein-Ligand Bindingcited by 17
38 more
- 2022Geometry-Complete Perceptron Networks for 3D Molecular Graphscited by 16
- 2023Diffusion Models in Bioinformatics: A New Wave of Deep Learning Revolution in Actioncited by 15
- 2025Multi-domain Distribution Learning for De Novo Drug Designcited by 15
- 2022Integration of Pre-trained Protein Language Models into Geometric Deep Learning Networkscited by 14
- 2023Pre-Training Protein Encoder via Siamese Sequence-Structure Diffusion Trajectory Predictioncited by 13
- 2023Generation of 3D Molecules in Pockets via Language Modelcited by 13
- 2024RNAFlow: RNA Structure & Sequence Design via Inverse Folding-Based Flow Matchingcited by 12
- 2023Equivariant Neural Operator Learning with Graphon Convolutioncited by 11
- 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generationcited by 11
- 2022SVNet: Where SO(3) Equivariance Meets Binarization on Point Cloud Representationcited by 10
- 2025UniSim: A Unified Simulator for Time-Coarsened Dynamics of Biomoleculescited by 7
- 2025BoltzNCE: Learning Likelihoods for Boltzmann Generation with Stochastic Interpolants and Noise Contrastive Estimationcited by 7
- 2024SE(3)-Hyena Operator for Scalable Equivariant Learningcited by 6
- 2023AtomSurf : Surface Representation for Learning on Protein Structurescited by 5
- 2024An Equivariant Pretrained Transformer for Unified 3D Molecular Representation Learningcited by 5
- 2024Improving Inverse Folding for Peptide Design with Diversity-regularized Direct Preference Optimizationcited by 5
- 2023Accelerating Inference in Molecular Diffusion Models with Latent Representations of Protein Structurecited by 4
- 2024Rigid Protein-Protein Docking via Equivariant Elliptic-Paraboloid Interface Predictioncited by 4
- 2025Geometric Hyena Networks for Large-scale Equivariant Learningcited by 4
- 20216DCNN with roto-translational convolution filters for volumetric data processingcited by 2
- 2023Geometric Deep Learning for Structure-Based Drug Design: A Surveycited by 2
- 2021An In-depth Summary of Recent Artificial Intelligence Applications in Drug Designcited by 1
- 2023Graph Representation Learning for Interactive Biomolecule Systemscited by 1
- 2023Inverse Protein Folding Using Deep Bayesian Optimizationcited by 1
- 2023Predicting protein variants with equivariant graph neural networkscited by 1
- 2024Conditional Shift-Robust Conformal Prediction for Graph Neural Networkcited by 1
- 2024Dumpling GNN: Hybrid GNN Enables Better ADC Payload Activity Prediction Based on Chemical Structurecited by 1
- 2025A Comprehensive Benchmark for RNA 3D Structure-Function Modelingcited by 1
- 2023Target-aware Variational Auto-encoders for Ligand Generation with Multimodal Protein Representation Learningcited by 0
- 2024RoCP-GNN: Robust Conformal Prediction for Graph Neural Networks in Node-Classificationcited by 0
- 2025Demystify Protein Generation with Hierarchical Conditional Diffusion Modelscited by 0
- 2025Flow-Based Fragment Identification via Binding Site-Specific Latent Representationscited by 0
- 2025Machine learning approaches for interpretable antibody property prediction using structural datacited by 0
- 2025OMTRA: A Multi-Task Generative Model for Structure-Based Drug Designcited by 0
- 2026Towards Multiscale Graph-based Protein Learning with Geometric Secondary Structural Motifscited by 0
- 2026h-MINT: Modeling Pocket-Ligand Binding with Hierarchical Molecular Interaction Networkcited by 0
- 2026Scalable Inference-Time Annealing with Surrogate Likelihood Estimatorscited by 0
- 2026SpliceBind: Isoform-Aware Prediction of Binding Pocket Druggabilitycited by 0
50 most cited of 53 All 53 (JSON)
- 2026From Surfaces to Volumes: Registered Geometry for Protein Representation Learning28 Sep 2026
- 2026Equivariant Sheaf Neural Networks: Learning Geometric Transport on Graphs28 Aug 2026
- 2026ProHiFlo: Hierarchical Flow Matching with Functional Guidance for De Novo Protein Generation3 Jun 2026
- 2026SpliceBind: Isoform-Aware Prediction of Binding Pocket Druggability1 Jun 2026
- 2026Scalable Inference-Time Annealing with Surrogate Likelihood Estimators29 May 2026
- 2026h-MINT: Modeling Pocket-Ligand Binding with Hierarchical Molecular Interaction Network25 Apr 2026
- 2026Towards Multiscale Graph-based Protein Learning with Geometric Secondary Structural Motifs31 Jan 2026
- 2025OMTRA: A Multi-Task Generative Model for Structure-Based Drug Design4 Dec 2025
- 2025Machine learning approaches for interpretable antibody property prediction using structural data28 Oct 2025
- 2025Flow-Based Fragment Identification via Binding Site-Specific Latent Representations16 Sep 2025
- 2025Multi-domain Distribution Learning for De Novo Drug Design25 Aug 2025
- 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generation18 Aug 2025
38 more
- 2025Demystify Protein Generation with Hierarchical Conditional Diffusion Models24 Jul 2025
- 2025BoltzNCE: Learning Likelihoods for Boltzmann Generation with Stochastic Interpolants and Noise Contrastive Estimation1 Jul 2025
- 2025Geometric Hyena Networks for Large-scale Equivariant Learning28 May 2025
- 2025UniSim: A Unified Simulator for Time-Coarsened Dynamics of Biomolecules20 May 2025
- 2025A Comprehensive Benchmark for RNA 3D Structure-Function Modeling27 Mar 2025
- 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generation25 Nov 2024
- 2024Improving Inverse Folding for Peptide Design with Diversity-regularized Direct Preference Optimization25 Oct 2024
- 2024Dumpling GNN: Hybrid GNN Enables Better ADC Payload Activity Prediction Based on Chemical Structure23 Sep 2024
- 2024RoCP-GNN: Robust Conformal Prediction for Graph Neural Networks in Node-Classification25 Aug 2024
- 2024SE(3)-Hyena Operator for Scalable Equivariant Learning1 Jul 2024
- 2024RNAFlow: RNA Structure & Sequence Design via Inverse Folding-Based Flow Matching29 May 2024
- 2024Conditional Shift-Robust Conformal Prediction for Graph Neural Network20 May 2024
- 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generation30 Apr 2024
- 2024An Equivariant Pretrained Transformer for Unified 3D Molecular Representation Learning20 Feb 2024
- 2024Rigid Protein-Protein Docking via Equivariant Elliptic-Paraboloid Interface Prediction17 Jan 2024
- 2023Accelerating Inference in Molecular Diffusion Models with Latent Representations of Protein Structure22 Nov 2023
- 2023Equivariant Neural Operator Learning with Graphon Convolution17 Nov 2023
- 2023FABind: Fast and Accurate Protein-Ligand Binding10 Oct 2023
- 2023AtomSurf : Surface Representation for Learning on Protein Structures28 Sep 2023
- 2023Uncovering Neural Scaling Laws in Molecular Representation Learning15 Sep 2023
- 2023Over-Squashing in Graph Neural Networks: A Comprehensive survey29 Aug 2023
- 2023Target-aware Variational Auto-encoders for Ligand Generation with Multimodal Protein Representation Learning2 Aug 2023
- 2023Predicting protein variants with equivariant graph neural networks21 Jun 2023
- 2023Geometric Deep Learning for Structure-Based Drug Design: A Survey20 Jun 2023
- 2023Generalist Equivariant Transformer Towards 3D Molecular Interaction Learning2 Jun 2023
- 2023Functional-Group-Based Diffusion for Pocket-Specific Molecule Generation and Elaboration30 May 2023
- 2023Inverse Protein Folding Using Deep Bayesian Optimization25 May 2023
- 2023Learning Subpocket Prototypes for Generalizable Structure-based Drug Design22 May 2023
- 2023Generation of 3D Molecules in Pockets via Language Model17 May 2023
- 2023Graph Representation Learning for Interactive Biomolecule Systems5 Apr 2023
- 2023Diffusion Models in Bioinformatics: A New Wave of Deep Learning Revolution in Action13 Feb 2023
- 2023Pre-Training Protein Encoder via Siamese Sequence-Structure Diffusion Trajectory Prediction28 Jan 2023
- 2022Integration of Pre-trained Protein Language Models into Geometric Deep Learning Networks7 Dec 2022
- 2022DiffBP: Generative Diffusion of 3D Molecules for Target Protein Binding21 Nov 2022
- 2022Geometry-Complete Perceptron Networks for 3D Molecular Graphs4 Nov 2022
- 2022SVNet: Where SO(3) Equivariance Meets Binarization on Point Cloud Representation13 Sep 2022
- 2022Learning Hierarchical Protein Representations via Complete 3D Graph Networks26 Jul 2022
- 2022Pocket2Mol: Efficient Molecular Sampling Based on 3D Protein Pockets15 May 2022
50 newest of 53 All 53 (JSON)
- 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generationcited by 54
- 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generationcited by 21
- 2023Diffusion Models in Bioinformatics: A New Wave of Deep Learning Revolution in Actioncited by 15
- 2025Multi-domain Distribution Learning for De Novo Drug Designcited by 15
- 2023Pre-Training Protein Encoder via Siamese Sequence-Structure Diffusion Trajectory Predictioncited by 13
- 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generationcited by 11
- 2023Accelerating Inference in Molecular Diffusion Models with Latent Representations of Protein Structurecited by 4
- 2025Demystify Protein Generation with Hierarchical Conditional Diffusion Modelscited by 0
- 2026ProHiFlo: Hierarchical Flow Matching with Functional Guidance for De Novo Protein Generationcited by 0
- 2026ProHiFlo: Hierarchical Flow Matching with Functional Guidance for De Novo Protein Generation3 Jun 2026
- 2025Multi-domain Distribution Learning for De Novo Drug Design25 Aug 2025
- 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generation18 Aug 2025
- 2025Demystify Protein Generation with Hierarchical Conditional Diffusion Models24 Jul 2025
- 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generation25 Nov 2024
- 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generation30 Apr 2024
- 2023Accelerating Inference in Molecular Diffusion Models with Latent Representations of Protein Structure22 Nov 2023
- 2023Diffusion Models in Bioinformatics: A New Wave of Deep Learning Revolution in Action13 Feb 2023
- 2023Pre-Training Protein Encoder via Siamese Sequence-Structure Diffusion Trajectory Prediction28 Jan 2023
- 2022Pocket2Mol: Efficient Molecular Sampling Based on 3D Protein Pocketscited by 183
- 2022DiffBP: Generative Diffusion of 3D Molecules for Target Protein Bindingcited by 58
- 2022Learning Hierarchical Protein Representations via Complete 3D Graph Networkscited by 55
- 2023Functional-Group-Based Diffusion for Pocket-Specific Molecule Generation and Elaborationcited by 30
- 2023Learning Subpocket Prototypes for Generalizable Structure-based Drug Designcited by 25
- 2023Over-Squashing in Graph Neural Networks: A Comprehensive surveycited by 23
- 2023Uncovering Neural Scaling Laws in Molecular Representation Learningcited by 23
- 2022Equivariant Graph Attention Networks for Molecular Property Predictioncited by 20
- 2023Generalist Equivariant Transformer Towards 3D Molecular Interaction Learningcited by 19
- 2023FABind: Fast and Accurate Protein-Ligand Bindingcited by 17
- 2022Geometry-Complete Perceptron Networks for 3D Molecular Graphscited by 16
- 2022Integration of Pre-trained Protein Language Models into Geometric Deep Learning Networkscited by 14
12 most cited of 44 All 44 (JSON)
- 2026From Surfaces to Volumes: Registered Geometry for Protein Representation Learning28 Sep 2026
- 2026Equivariant Sheaf Neural Networks: Learning Geometric Transport on Graphs28 Aug 2026
- 2026SpliceBind: Isoform-Aware Prediction of Binding Pocket Druggability1 Jun 2026
- 2026Scalable Inference-Time Annealing with Surrogate Likelihood Estimators29 May 2026
- 2026h-MINT: Modeling Pocket-Ligand Binding with Hierarchical Molecular Interaction Network25 Apr 2026
- 2026Towards Multiscale Graph-based Protein Learning with Geometric Secondary Structural Motifs31 Jan 2026
- 2025OMTRA: A Multi-Task Generative Model for Structure-Based Drug Design4 Dec 2025
- 2025Machine learning approaches for interpretable antibody property prediction using structural data28 Oct 2025
- 2025Flow-Based Fragment Identification via Binding Site-Specific Latent Representations16 Sep 2025
- 2025BoltzNCE: Learning Likelihoods for Boltzmann Generation with Stochastic Interpolants and Noise Contrastive Estimation1 Jul 2025
- 2025Geometric Hyena Networks for Large-scale Equivariant Learning28 May 2025
- 2025UniSim: A Unified Simulator for Time-Coarsened Dynamics of Biomolecules20 May 2025
12 newest of 44 All 44 (JSON)