mlsanityData to 7 Oct 2026

Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generation

arXiv 2305.12347 ↗First posted 21 May 2023q-bio.BM cs.LGcited by 27

On the map: Diffusion models → Flow matching, time series and science

Abstract (arXiv)

Designing new molecules is essential for drug discovery and material science. Recently, deep generative models that aim to model molecule distribution have made promising progress in narrowing down the chemical research space and generating high-fidelity molecules. However, current generative models only focus on modeling either 2D bonding graphs or 3D geometries, which are two complementary descriptors for molecules. The lack of ability to jointly model both limits the improvement of generation quality and further downstream applications. In this paper, we propose a new joint 2D and 3D diffusion model (JODO) that generates complete molecules with atom types, formal charges, bond information, and 3D coordinates. To capture the correlation between molecular graphs and geometries in the diffusion process, we develop a Diffusion Graph Transformer to parameterize the data prediction model that recovers the original data from noisy data. The Diffusion Graph Transformer interacts node and edge representations based on our relational attention mechanism, while simultaneously propagating and updating scalar features and geometric vectors. Our model can also be extended for inverse molecular design targeting single or multiple quantum properties. In our comprehensive evaluation pipeline for unconditional joint generation, the results of the experiment show that JODO remarkably outperforms the baselines on the QM9 and GEOM-Drugs datasets. Furthermore, our model excels in few-step fast sampling, as well as in inverse molecule design and molecular graph generation. Our code is provided in https://github.com/GRAPH-0/JODO.

Key facts. Cited by 27 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 64 of its 82 references that are in the map. First posted on arXiv 21 May 2023.

Builds on

64 of 82 references.

Closest ancestors · 10

Same direction, newest first

  1. 2023PriSTI: A Conditional Diffusion Framework for Spatiotemporal Imputation20 Feb
  2. 2022Protein structure generation via folding diffusion30 Sep
  3. 2022DiGress: Discrete Denoising diffusion for graph generation29 Sep
  4. 2022MDM: Molecular Diffusion Model for 3D Molecule Generation13 Sep
  5. 2022Protein Structure and Sequence Generation with Equivariant Denoising Diffusion Probabilistic Models26 May
  6. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
  7. 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generation6 Mar
  8. 2022Score-based Generative Modeling of Graphs via the System of Stochastic Differential Equations5 Feb
  9. 2021CSDI: Conditional Score-based Diffusion Models for Probabilistic Time Series Imputation7 Jul
  10. 2020Permutation Invariant Graph Generation via Score-Based Generative Modeling2 Mar

Other references · 54

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  4. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  5. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  6. 2022Scalable Diffusion Models with Transformerscited by 5,931
  7. 2022Classifier-Free Diffusion Guidancecited by 5,717
  8. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  9. 2017FiLM: Visual Reasoning with a General Conditioning Layercited by 2,286
  10. 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Stepscited by 1,961
  11. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
  12. 2021Variational Diffusion Modelscited by 1,145
38 more
  1. 2022Diffusion Models: A Comprehensive Survey of Methods and Applicationscited by 1,107
  2. 2021E(n) Equivariant Graph Neural Networkscited by 951
  3. 2022DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Modelscited by 924
  4. 2018Junction Tree Variational Autoencoder for Molecular Graph Generationcited by 647
  5. 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
  6. 2020Directional Message Passing for Molecular Graphscited by 556
  7. 2021Equivariant message passing for the prediction of tensorial properties and molecular spectracited by 438
  8. 2018MolGAN: An implicit generative model for small molecular graphscited by 392
  9. 2018GraphVAE: Towards Generation of Small Graphs Using Variational Autoencoderscited by 375
  10. 2018Graph Convolutional Policy Network for Goal-Directed Molecular Graph Generationcited by 363
  11. 2022Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioningcited by 362
  12. 2021GemNet: Universal Directional Graph Neural Networks for Moleculescited by 342
  13. 2021Do Transformers Really Perform Bad for Graph Representation?cited by 318
  14. 2020Learning from Protein Structure with Geometric Vector Perceptronscited by 308
  15. 2022DiffDock: Diffusion Steps, Twists, and Turns for Molecular Dockingcited by 307
  16. 2020GraphAF: a Flow-based Autoregressive Model for Molecular Graph Generationcited by 301
  17. 2018Molecular Sets (MOSES): A Benchmarking Platform for Molecular Generation Modelscited by 270
  18. 2022Torsional Diffusion for Molecular Conformer Generationcited by 262
  19. 2020Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densitiescited by 248
  20. 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
  21. 2022Continuous diffusion for categorical datacited by 202
  22. 2020MoFlow: An Invertible Flow Model for Generating Molecular Graphscited by 183
  23. 2018Constrained Graph Variational Autoencoders for Molecule Designcited by 182
  24. 2022Pocket2Mol: Efficient Molecular Sampling Based on 3D Protein Pocketscited by 182
  25. 2021GraphDF: A Discrete Flow Model for Molecular Graph Generationcited by 177
  26. 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 171
  27. 2021Spherical Message Passing for 3D Graph Networkscited by 166
  28. 2021E(n) Equivariant Normalizing Flowscited by 165
  29. 2022Diffusion-based Molecule Generation with Informative Prior Bridgescited by 104
  30. 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
  31. 2023On the Expressive Power of Geometric Graph Neural Networkscited by 89
  32. 2022One Transformer Can Understand Both 2D & 3D Molecular Datacited by 77
  33. 2022Equivariant Energy-Guided SDE for Inverse Molecular Designcited by 72
  34. 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Designcited by 66
  35. 2022Benchmarking Graphormer on Large-Scale Molecular Modeling Datasetscited by 63
  36. 2020Symmetry-Aware Actor-Critic for 3D Molecular Designcited by 55
  37. 2020Reinforcement Learning for Molecular Design Guided by Quantum Mechanicscited by 51
  38. 2023Conditional Diffusion Based on Discrete Graph Structures for Molecular Graph Generationcited by 46

50 most cited of 54 All 54 (JSON)

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 9; 2025: 11; 2026: 7.

27 papers.

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  1. 2024Fisher Flow Matching for Generative Modeling over Discrete Datacited by 68
  2. 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generationcited by 53
  3. 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
  4. 2024Diffusion Models in textitDe Novo Drug Designcited by 26
  5. 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generationcited by 20
  6. 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generationcited by 11
  7. 2024Geometry Informed Tokenization of Molecules for Language Model Generationcited by 10
  8. 2025Controlled Generation with Equivariant Variational Flow Matchingcited by 9
  9. 2025Straight-Line Diffusion Model for Efficient 3D Molecular Generationcited by 8
  10. 2025Unified Guidance for Geometry-Conditioned Molecular Generationcited by 7
  11. 2025SynCoGen: Synthesizable 3D Molecule Generation via Joint Reaction and Coordinate Modelingcited by 5
  12. 2026Rethinking Diffusion Models with Symmetries through Canonicalization with Applications to Molecular Graph Generationcited by 5
15 more
  1. 2024Diffusion Twigs with Loop Guidance for Conditional Graph Generationcited by 4
  2. 2025TFG-Flow: Training-free Guidance in Multimodal Generative Flowcited by 4
  3. 2025Clifford Group Equivariant Diffusion Models for 3D Molecular Generationcited by 3
  4. 2024Diffusion-based Graph Generative Methodscited by 2
  5. 2025Pharmacophore-Conditioned Diffusion Model for Ligand-Based De Novo Drug Designcited by 2
  6. 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generationcited by 1
  7. 2026Toward Better Geometric Representations for Molecule Generative Modelscited by 1
  8. 2024Learning Disentangled Equivariant Representation for Explicitly Controllable 3D Molecule Generationcited by 0
  9. 2025Energy Loss Functions for Physical Systemscited by 0
  10. 2025VEDA: 3D Molecular Generation via Variance-Exploding Diffusion with Annealingcited by 0
  11. 2026Generating Physically Consistent Molecules with Energy-Based Modelscited by 0
  12. 2026Smoothing Dark Areas in Molecular Latent Diffusioncited by 0
  13. 2026S1-Omni: A Unified Multimodal Reasoning Model for Scientific Understanding, Prediction, and Generationcited by 0
  14. 2026TreeRef-BFN: Equivariance-Free De Novo Molecule Generation based on 2D Topology and Internal 3D Geometrycited by 0
  15. 2026MAST: Motif-Augmented Diffusion with Search Tree for Spectroscopic Molecular Structure Elucidationcited by 0

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  1. 2024Geometric-Facilitated Denoising Diffusion Model for 3D Molecule Generation
  2. 2025D3MES: Diffusion Transformer with multihead equivariant self-attention for 3D molecule generation
  3. 2023MolDiff: Addressing the Atom-Bond Inconsistency Problem in 3D Molecule Diffusion Generation
  4. 2025All-atom Diffusion Transformers: Unified generative modelling of molecules and materials
  5. 2023Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation
  6. 2026MolHIT: Advancing Molecular-Graph Generation with Hierarchical Discrete Diffusion Models
  7. 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generation
  8. 2023Geometric Latent Diffusion Models for 3D Molecule Generation