mlsanityData to 14 Oct 2026

ForceNet: A Graph Neural Network for Large-Scale Quantum Calculations

arXiv 2103.01436 ↗First posted 2 Mar 2021cs.LGcited by 58

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Abstract (arXiv)

With massive amounts of atomic simulation data available, there is a huge opportunity to develop fast and accurate machine learning models to approximate expensive physics-based calculations. The key quantity to estimate is atomic forces, where the state-of-the-art Graph Neural Networks (GNNs) explicitly enforce basic physical constraints such as rotation-covariance. However, to strictly satisfy the physical constraints, existing models have to make tradeoffs between computational efficiency and model expressiveness. Here we explore an alternative approach. By not imposing explicit physical constraints, we can flexibly design expressive models while maintaining their computational efficiency. Physical constraints are implicitly imposed by training the models using physics-based data augmentation. To evaluate the approach, we carefully design a scalable and expressive GNN model, ForceNet, and apply it to OC20 (Chanussot et al., 2020), an unprecedentedly-large dataset of quantum physics calculations. Our proposed ForceNet is able to predict atomic forces more accurately than state-of-the-art physics-based GNNs while being faster both in training and inference. Overall, our promising and counter-intuitive results open up an exciting avenue for future research.

Key facts. Cited by 58 papers in the map (data through 14 Oct 2026). Builds on 22 of its 53 references that are in the map. First posted on arXiv 2 Mar 2021.

Builds on

22 of 53 references.

References · 22

  1. 2015Deep Residual Learning for Image Recognitioncited by 52,096
  2. 2014Adam: A Method for Stochastic Optimizationcited by 37,240
  3. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
  4. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,361
  5. 2017Graph Attention Networkscited by 8,923
  6. 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 7,005
  7. 2017Inductive Representation Learning on Large Graphscited by 6,320
  8. 2016Layer Normalizationcited by 5,669
  9. 2018How Powerful are Graph Neural Networks?cited by 4,393
  10. 2017Neural Message Passing for Quantum Chemistrycited by 3,487
  11. 2019Fast Graph Representation Learning with PyTorch Geometriccited by 2,434
  12. 2020Learning to Simulate Complex Physics with Graph Networkscited by 880
10 more
  1. 2017SchNet: A continuous-filter convolutional neural network for modeling quantum interactionscited by 571
  2. 2020Directional Message Passing for Molecular Graphscited by 561
  3. 2016Interaction Networks for Learning about Objects, Relations and Physicscited by 509
  4. 2018Neural Relational Inference for Interacting Systemscited by 339
  5. 2020Fast and Uncertainty-Aware Directional Message Passing for Non-Equilibrium Moleculescited by 255
  6. 2020The Open Catalyst 2020 (OC20) Dataset and Community Challengescited by 246
  7. 2017Searching for Activation Functionscited by 169
  8. 2019GNN-FiLM: Graph Neural Networks with Feature-wise Linear Modulationcited by 75
  9. 2020An Introduction to Electrocatalyst Design using Machine Learning for Renewable Energy Storagecited by 45
  10. 2019Alchemy: A Quantum Chemistry Dataset for Benchmarking AI Modelscited by 36

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 7; 2022: 16; 2023: 12; 2024: 11; 2025: 7; 2026: 5.

58 papers.

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  1. 2021GemNet: Universal Directional Graph Neural Networks for Moleculescited by 343
  2. 2021OGB-LSC: A Large-Scale Challenge for Machine Learning on Graphscited by 329
  3. 2023EquiformerV2: Improved Equivariant Transformer for Scaling to Higher-Degree Representationscited by 204
  4. 2022Graph neural networks for materials science and chemistrycited by 182
  5. 2021Frame Averaging for Invariant and Equivariant Network Designcited by 168
  6. 2022The Open Catalyst 2022 (OC22) Dataset and Challenges for Oxide Electrocatalystscited by 95
  7. 2022Forces are not Enough: Benchmark and Critical Evaluation for Machine Learning Force Fields with Molecular Simulationscited by 95
  8. 2025Learning Smooth and Expressive Interatomic Potentials for Physical Property Predictioncited by 84
  9. 2023FAENet: Frame Averaging Equivariant GNN for Materials Modelingcited by 73
  10. 2022ComENet: Towards Complete and Efficient Message Passing for 3D Molecular Graphscited by 69
  11. 2023A Hitchhiker's Guide to Geometric GNNs for 3D Atomic Systemscited by 68
  12. 2022GemNet-OC: Developing Graph Neural Networks for Large and Diverse Molecular Simulation Datasetscited by 61
38 more
  1. 2025Position: Graph Learning Will Lose Relevance Due To Poor Benchmarkscited by 53
  2. 2021Rotation Invariant Graph Neural Networks using Spin Convolutionscited by 52
  3. 2022Spherical Channels for Modeling Atomic Interactionscited by 47
  4. 2021Simple GNN Regularisation for 3D Molecular Property Prediction & Beyondcited by 44
  5. 2023Smooth, exact rotational symmetrization for deep learning on point cloudscited by 39
  6. 2021Graph Neural Networks Accelerated Molecular Dynamicscited by 33
  7. 2022Thermodynamics-informed graph neural networkscited by 33
  8. 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
  9. 2022Towards Training Billion Parameter Graph Neural Networks for Atomic Simulationscited by 25
  10. 2022Graph Neural Networks for Moleculescited by 21
  11. 2023Grounding Graph Network Simulators using Physical Sensor Observationscited by 15
  12. 2024Relaxed Equivariance via Multitask Learningcited by 13
  13. 2021Fast Quantum Property Prediction via Deeper 2D and 3D Graph Networkscited by 10
  14. 2023Data efficiency and extrapolation trends in neural network interatomic potentialscited by 10
  15. 2024AI-driven inverse design of materials: Past, present and futurecited by 10
  16. 2025How simple can you go? An off-the-shelf transformer approach to molecular dynamicscited by 10
  17. 2022Learned Force Fields Are Ready For Ground State Catalyst Discoverycited by 8
  18. 2024Stability-Aware Training of Machine Learning Force Fields with Differentiable Boltzmann Estimatorscited by 8
  19. 2024Baking Symmetry into GFlowNetscited by 7
  20. 2022PhAST: Physics-Aware, Scalable, and Task-specific GNNs for Accelerated Catalyst Designcited by 6
  21. 2022Learning Physics-Consistent Particle Interactionscited by 4
  22. 2023Molecular Geometry-aware Transformer for accurate 3D Atomic System modelingcited by 4
  23. 2023Transfer learning for atomistic simulations using GNNs and kernel mean embeddingscited by 4
  24. 2022Synthetic data enable experiments in atomistic machine learningcited by 3
  25. 2022Rotation-equivariant Graph Neural Networks for Learning Glassy Liquids Representationscited by 1
  26. 2023From Peptides to Nanostructures: A Euclidean Transformer for Fast and Stable Machine Learned Force Fieldscited by 1
  27. 2023On Training Derivative-Constrained Neural Networkscited by 1
  28. 2024FreeCG: Free the Design Space of Clebsch-Gordan Transform for Machine Learning Force Fieldscited by 1
  29. 2024Physics-Informed Weakly Supervised Learning for Interatomic Potentialscited by 1
  30. 2025Understanding the Capabilities of Molecular Graph Neural Networks in Materials Science Through Multimodal Learning and Physical Context Encodingcited by 1
  31. 2025Context-aware Learned Mesh-based Simulation via Trajectory-Level Meta-Learningcited by 1
  32. 2026Faster Molecular Dynamics with Neural Network Potentials via Distilled Multiple Time-Stepping and Non-Conservative Forcescited by 1
  33. 2026Implicit Machine Learning Force Fields Accelerate Molecular Dynamics Simulationscited by 1
  34. 2022Efficient Traffic State Forecasting using Spatio-Temporal Network Dependencies: A Sparse Graph Neural Network Approachcited by 0
  35. 2022Multi-view deep learning based molecule design and structural optimization accelerates the SARS-CoV-2 inhibitor discoverycited by 0
  36. 2023Spline-based neural network interatomic potentials: blending classical and machine learning modelscited by 0
  37. 2023Latent Task-Specific Graph Network Simulatorscited by 0
  38. 2024Pretraining Strategy for Neural Potentialscited by 0

50 most cited of 58 All 58 (JSON)