Energy-Motivated Equivariant Pretraining for 3D Molecular Graphs
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Abstract (arXiv)
Pretraining molecular representation models without labels is fundamental to various applications. Conventional methods mainly process 2D molecular graphs and focus solely on 2D tasks, making their pretrained models incapable of characterizing 3D geometry and thus defective for downstream 3D tasks. In this work, we tackle 3D molecular pretraining in a complete and novel sense. In particular, we first propose to adopt an equivariant energy-based model as the backbone for pretraining, which enjoys the merits of fulfilling the symmetry of 3D space. Then we develop a node-level pretraining loss for force prediction, where we further exploit the Riemann-Gaussian distribution to ensure the loss to be E(3)-invariant, enabling more robustness. Moreover, a graph-level noise scale prediction task is also leveraged to further promote the eventual performance. We evaluate our model pretrained from a large-scale 3D dataset GEOM-QM9 on two challenging 3D benchmarks: MD17 and QM9. Experimental results demonstrate the efficacy of our method against current state-of-the-art pretraining approaches, and verify the validity of our design for each proposed component.
Key facts. Cited by 37 papers in the map (data through 7 Oct 2026). Builds on 35 of its 51 references that are in the map. First posted on arXiv 18 Jul 2022.
Builds on
35 of 51 references.
References · 35
- 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
- 2019Fast Graph Representation Learning with PyTorch Geometriccited by 2,414
- 2016Variational Graph Auto-Encoderscited by 1,373
- 2020Graph Contrastive Learning with Augmentationscited by 1,203
- 2018Deep Graph Infomaxcited by 1,101
- 2020Improved Techniques for Training Score-Based Generative Modelscited by 1,036
- 2019Strategies for Pre-training Graph Neural Networkscited by 964
- 2021E(n) Equivariant Graph Neural Networkscited by 951
- 2018Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point cloudscited by 735
- 2020SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networkscited by 602
23 more
- 2017SchNet: A continuous-filter convolutional neural network for modeling quantum interactionscited by 569
- 2020Directional Message Passing for Molecular Graphscited by 556
- 2020GCC: Graph Contrastive Coding for Graph Neural Network Pre-Trainingcited by 461
- 2019InfoGraph: Unsupervised and Semi-supervised Graph-Level Representation Learning via Mutual Information Maximizationcited by 441
- 2021Do Transformers Really Perform Bad for Graph Representation?cited by 318
- 2020GPT-GNN: Generative Pre-Training of Graph Neural Networkscited by 302
- 2021Graph Contrastive Learning Automatedcited by 287
- 2019Cormorant: Covariant Molecular Neural Networkscited by 262
- 2020Generalizing Convolutional Neural Networks for Equivariance to Lie Groups on Arbitrary Continuous Datacited by 248
- 2021Pre-training Molecular Graph Representation with 3D Geometrycited by 248
- 2016Molecular Graph Convolutions: Moving Beyond Fingerprintscited by 238
- 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
- 2021ChemRL-GEM: Geometry Enhanced Molecular Representation Learning for Property Predictioncited by 204
- 2022TorchMD-NET: Equivariant Transformers for Neural Network based Molecular Potentialscited by 179
- 2021Spherical Message Passing for 3D Graph Networkscited by 166
- 2021Learning Gradient Fields for Molecular Conformation Generationcited by 162
- 20213D Infomax improves GNNs for Molecular Property Predictioncited by 146
- 2020LieTransformer: Equivariant self-attention for Lie Groupscited by 100
- 2021MoCL: Data-driven Molecular Fingerprint via Knowledge-aware Contrastive Learning from Molecular Graphcited by 65
- 2022Geometrically Equivariant Graph Neural Networks: A Surveycited by 55
- 2020Differentiable Manifold Reconstruction for Point Cloud Denoisingcited by 52
- 2022Unified 2D and 3D Pre-Training of Molecular Representationscited by 45
- 2015AtomNet: A Deep Convolutional Neural Network for Bioactivity Prediction in Structure-based Drug Discoverycited by 38
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Citing papers per year: 2022: 1; 2023: 9; 2024: 14; 2025: 11; 2026: 2.
37 papers.
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- 2022A Systematic Survey of Chemical Pre-trained Modelscited by 34
- 2023Fractional Denoising for 3D Molecular Pre-trainingcited by 33
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applicationscited by 28
- 2023SEGNO: Generalizing Equivariant Graph Neural Networks with Physical Inductive Biasescited by 27
- 2023Symmetry-Informed Geometric Representation for Molecules, Proteins, and Crystalline Materialscited by 22
- 2024UniGEM: A Unified Approach to Generation and Property Prediction for Moleculescited by 20
- 2023Generalist Equivariant Transformer Towards 3D Molecular Interaction Learningcited by 18
- 2023Sliced Denoising: A Physics-Informed Molecular Pre-Training Methodcited by 18
- 2024Generalizing Denoising to Non-Equilibrium Structures Improves Equivariant Force Fieldscited by 18
- 2024UniCorn: A Unified Contrastive Learning Approach for Multi-view Molecular Representation Learningcited by 18
- 2024Are High-Degree Representations Really Unnecessary in Equivariant Graph Neural Networks?cited by 18
- 2024ChemDFM-X: Towards Large Multimodal Model for Chemistrycited by 16
25 more
- 2024Pre-training with Fractional Denoising to Enhance Molecular Property Predictioncited by 14
- 2023May the Force be with You: Unified Force-Centric Pre-Training for 3D Molecular Conformationscited by 13
- 2023Fine-tuning Graph Neural Networks by Preserving Graph Generative Patternscited by 13
- 2024Geometric Representation Condition Improves Equivariant Molecule Generationcited by 13
- 2025MolSpectra: Pre-training 3D Molecular Representation with Multi-modal Energy Spectracited by 8
- 2024ESM All-Atom: Multi-scale Protein Language Model for Unified Molecular Modelingcited by 7
- 2025UniSim: A Unified Simulator for Time-Coarsened Dynamics of Biomoleculescited by 7
- 2023UniMAP: Universal SMILES-Graph Representation Learningcited by 6
- 2024Impact of Domain Knowledge and Multi-Modality on Intelligent Molecular Property Prediction: A Systematic Surveycited by 6
- 2024An Equivariant Pretrained Transformer for Unified 3D Molecular Representation Learningcited by 5
- 2024Rigid Protein-Protein Docking via Equivariant Elliptic-Paraboloid Interface Predictioncited by 4
- 2025Natural Language-Assisted Multi-modal Medication Recommendationcited by 4
- 2025Equivariant Masked Position Prediction for Efficient Molecular Representationcited by 4
- 2025Recent Developments in GNNs for Drug Discoverycited by 3
- 2025GeoRecon: Graph-Level Representation Learning for 3D Molecules via Reconstruction-Based Pretrainingcited by 3
- 2025Universally Invariant Learning in Equivariant GNNscited by 3
- 2026Enhancing Molecular Property Predictions by Learning from Bond Modelling and Interactionscited by 3
- 2024MetaEnzyme: Meta Pan-Enzyme Learning for Task-Adaptive Redesigncited by 2
- 2025Beyond Atoms: Enhancing Molecular Pretrained Representations with 3D Space Modelingcited by 2
- 2023Implicit Geometry and Interaction Embeddings Improve Few-Shot Molecular Property Predictioncited by 0
- 20243D Interaction Geometric Pre-training for Molecular Relational Learningcited by 0
- 2025On the Importance of Pretraining Data Alignment for Atomic Property Predictioncited by 0
- 20253D-GSRD: 3D Molecular Graph Auto-Encoder with Selective Re-mask Decodingcited by 0
- 2025Learning 3D Anisotropic Noise Distributions Improves Molecular Force Field Modelingcited by 0
- 2026EpiFormer: Learning Antigen-Antibody Interactions for Epitope Prediction via Geometric Deep Learningcited by 0
- 2026EpiFormer: Learning Antigen-Antibody Interactions for Epitope Prediction via Geometric Deep Learning2 Jun 2026
- 2026Enhancing Molecular Property Predictions by Learning from Bond Modelling and Interactions28 Feb 2026
- 2025Learning 3D Anisotropic Noise Distributions Improves Molecular Force Field Modeling25 Oct 2025
- 20253D-GSRD: 3D Molecular Graph Auto-Encoder with Selective Re-mask Decoding19 Oct 2025
- 2025Universally Invariant Learning in Equivariant GNNs15 Oct 2025
- 2025GeoRecon: Graph-Level Representation Learning for 3D Molecules via Reconstruction-Based Pretraining16 Jun 2025
- 2025Recent Developments in GNNs for Drug Discovery2 Jun 2025
- 2025UniSim: A Unified Simulator for Time-Coarsened Dynamics of Biomolecules20 May 2025
- 2025Beyond Atoms: Enhancing Molecular Pretrained Representations with 3D Space Modeling13 Mar 2025
- 2025MolSpectra: Pre-training 3D Molecular Representation with Multi-modal Energy Spectra22 Feb 2025
- 2025On the Importance of Pretraining Data Alignment for Atomic Property Prediction16 Feb 2025
- 2025Equivariant Masked Position Prediction for Efficient Molecular Representation12 Feb 2025
25 more
- 2025Natural Language-Assisted Multi-modal Medication Recommendation13 Jan 2025
- 20243D Interaction Geometric Pre-training for Molecular Relational Learning4 Dec 2024
- 2024Are High-Degree Representations Really Unnecessary in Equivariant Graph Neural Networks?15 Oct 2024
- 2024UniGEM: A Unified Approach to Generation and Property Prediction for Molecules14 Oct 2024
- 2024Geometric Representation Condition Improves Equivariant Molecule Generation4 Oct 2024
- 2024ChemDFM-X: Towards Large Multimodal Model for Chemistry20 Sep 2024
- 2024MetaEnzyme: Meta Pan-Enzyme Learning for Task-Adaptive Redesign5 Aug 2024
- 2024Pre-training with Fractional Denoising to Enhance Molecular Property Prediction14 Jul 2024
- 2024UniCorn: A Unified Contrastive Learning Approach for Multi-view Molecular Representation Learning15 May 2024
- 2024Generalizing Denoising to Non-Equilibrium Structures Improves Equivariant Force Fields14 Mar 2024
- 2024ESM All-Atom: Multi-scale Protein Language Model for Unified Molecular Modeling5 Mar 2024
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applications1 Mar 2024
- 2024An Equivariant Pretrained Transformer for Unified 3D Molecular Representation Learning20 Feb 2024
- 2024Impact of Domain Knowledge and Multi-Modality on Intelligent Molecular Property Prediction: A Systematic Survey11 Feb 2024
- 2024Rigid Protein-Protein Docking via Equivariant Elliptic-Paraboloid Interface Prediction17 Jan 2024
- 2023Fine-tuning Graph Neural Networks by Preserving Graph Generative Patterns21 Dec 2023
- 2023Sliced Denoising: A Physics-Informed Molecular Pre-Training Method3 Nov 2023
- 2023UniMAP: Universal SMILES-Graph Representation Learning22 Oct 2023
- 2023SEGNO: Generalizing Equivariant Graph Neural Networks with Physical Inductive Biases25 Aug 2023
- 2023May the Force be with You: Unified Force-Centric Pre-Training for 3D Molecular Conformations24 Aug 2023
- 2023Fractional Denoising for 3D Molecular Pre-training20 Jul 2023
- 2023Symmetry-Informed Geometric Representation for Molecules, Proteins, and Crystalline Materials15 Jun 2023
- 2023Generalist Equivariant Transformer Towards 3D Molecular Interaction Learning2 Jun 2023
- 2023Implicit Geometry and Interaction Embeddings Improve Few-Shot Molecular Property Prediction4 Feb 2023
- 2022A Systematic Survey of Chemical Pre-trained Models29 Oct 2022
- 2022A Systematic Survey of Chemical Pre-trained Modelscited by 34
- 2023Fractional Denoising for 3D Molecular Pre-trainingcited by 33
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applicationscited by 28
- 2023SEGNO: Generalizing Equivariant Graph Neural Networks with Physical Inductive Biasescited by 27
- 2023Symmetry-Informed Geometric Representation for Molecules, Proteins, and Crystalline Materialscited by 22
- 2024UniGEM: A Unified Approach to Generation and Property Prediction for Moleculescited by 20
- 2023Generalist Equivariant Transformer Towards 3D Molecular Interaction Learningcited by 18
- 2023Sliced Denoising: A Physics-Informed Molecular Pre-Training Methodcited by 18
- 2024Generalizing Denoising to Non-Equilibrium Structures Improves Equivariant Force Fieldscited by 18
- 2024UniCorn: A Unified Contrastive Learning Approach for Multi-view Molecular Representation Learningcited by 18
- 2024Are High-Degree Representations Really Unnecessary in Equivariant Graph Neural Networks?cited by 18
- 2024ChemDFM-X: Towards Large Multimodal Model for Chemistrycited by 16
12 most cited of 37 All 37 (JSON)
- 2026EpiFormer: Learning Antigen-Antibody Interactions for Epitope Prediction via Geometric Deep Learning2 Jun 2026
- 2026Enhancing Molecular Property Predictions by Learning from Bond Modelling and Interactions28 Feb 2026
- 2025Learning 3D Anisotropic Noise Distributions Improves Molecular Force Field Modeling25 Oct 2025
- 20253D-GSRD: 3D Molecular Graph Auto-Encoder with Selective Re-mask Decoding19 Oct 2025
- 2025Universally Invariant Learning in Equivariant GNNs15 Oct 2025
- 2025GeoRecon: Graph-Level Representation Learning for 3D Molecules via Reconstruction-Based Pretraining16 Jun 2025
- 2025Recent Developments in GNNs for Drug Discovery2 Jun 2025
- 2025UniSim: A Unified Simulator for Time-Coarsened Dynamics of Biomolecules20 May 2025
- 2025Beyond Atoms: Enhancing Molecular Pretrained Representations with 3D Space Modeling13 Mar 2025
- 2025MolSpectra: Pre-training 3D Molecular Representation with Multi-modal Energy Spectra22 Feb 2025
- 2025On the Importance of Pretraining Data Alignment for Atomic Property Prediction16 Feb 2025
- 2025Equivariant Masked Position Prediction for Efficient Molecular Representation12 Feb 2025
12 newest of 37 All 37 (JSON)