mlsanityData to 7 Oct 2026

MDM: Molecular Diffusion Model for 3D Molecule Generation

arXiv 2209.05710 ↗First posted 13 Sep 2022cs.LG q-bio.BMcited by 58

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

Abstract (arXiv)

Molecule generation, especially generating 3D molecular geometries from scratch (i.e., 3D textitde novo generation), has become a fundamental task in drug designs. Existing diffusion-based 3D molecule generation methods could suffer from unsatisfactory performances, especially when generating large molecules. At the same time, the generated molecules lack enough diversity. This paper proposes a novel diffusion model to address those two challenges. First, interatomic relations are not in molecules' 3D point cloud representations. Thus, it is difficult for existing generative models to capture the potential interatomic forces and abundant local constraints. To tackle this challenge, we propose to augment the potential interatomic forces and further involve dual equivariant encoders to encode interatomic forces of different strengths. Second, existing diffusion-based models essentially shift elements in geometry along the gradient of data density. Such a process lacks enough exploration in the intermediate steps of the Langevin dynamics. To address this issue, we introduce a distributional controlling variable in each diffusion/reverse step to enforce thorough explorations and further improve generation diversity. Extensive experiments on multiple benchmarks demonstrate that the proposed model significantly outperforms existing methods for both unconditional and conditional generation tasks. We also conduct case studies to help understand the physicochemical properties of the generated molecules.

Key facts. Cited by 58 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 24 of its 28 references that are in the map. First posted on arXiv 13 Sep 2022.

Builds on

24 of 28 references.

Closest ancestors · 2

Same direction, newest first

  1. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
  2. 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generation6 Mar

Other references · 22

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2020Denoising Diffusion Implicit Modelscited by 9,655
  4. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  5. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  6. 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
  7. 2016Automatic chemical design using a data-driven continuous representation of moleculescited by 762
  8. 2018Junction Tree Variational Autoencoder for Molecular Graph Generationcited by 647
  9. 2017SchNet: A continuous-filter convolutional neural network for modeling quantum interactionscited by 569
  10. 2018MolGAN: An implicit generative model for small molecular graphscited by 392
  11. 2019Cormorant: Covariant Molecular Neural Networkscited by 262
  12. 2020Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densitiescited by 248
10 more
  1. 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
  2. 2016A Kernelized Stein Discrepancy for Goodness-of-fit Tests and Model Evaluationcited by 236
  3. 2020MoFlow: An Invertible Flow Model for Generating Molecular Graphscited by 183
  4. 2021GraphDF: A Discrete Flow Model for Molecular Graph Generationcited by 177
  5. 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 171
  6. 2021E(n) Equivariant Normalizing Flowscited by 165
  7. 2021Learning Gradient Fields for Molecular Conformation Generationcited by 162
  8. 2018Syntax-Directed Variational Autoencoder for Structured Datacited by 103
  9. 2019Molecular geometry prediction using a deep generative graph neural networkcited by 91
  10. 2021An End-to-End Framework for Molecular Conformation Generation via Bilevel Programmingcited by 59

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 14; 2024: 24; 2025: 15; 2026: 5.

58 papers.

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  1. 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generationcited by 96
  2. 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
  3. 2024Discrete-state Continuous-time Diffusion for Graph Generationcited by 73
  4. 2023Enhancing Deep Reinforcement Learning: A Tutorial on Generative Diffusion Models in Network Optimizationcited by 56
  5. 2023MUDiff: Unified Diffusion for Complete Molecule Generationcited by 41
  6. 20233D molecule generation by denoising voxel gridscited by 38
  7. 2023A Survey on Graph Diffusion Models: Generative AI in Science for Molecule, Protein and Materialcited by 34
  8. 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
  9. 2024Denoising Diffusion Recommender Modelcited by 28
  10. 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applicationscited by 28
  11. 2023Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generationcited by 27
  12. 2024Diffusion Models in textitDe Novo Drug Designcited by 26
38 more
  1. 2024Structure-based drug design by denoising voxel gridscited by 18
  2. 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generationcited by 17
  3. 2024A Practical Guide to Sample-based Statistical Distances for Evaluating Generative Models in Sciencecited by 14
  4. 2025Flow Matching Meets Biology and Life Science: A Surveycited by 14
  5. 2025Distinguished Quantized Guidance for Diffusion-based Sequence Recommendationcited by 13
  6. 2024Geometric-Facilitated Denoising Diffusion Model for 3D Molecule Generationcited by 12
  7. 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraintscited by 10
  8. 2023ERA-Solver: Error-Robust Adams Solver for Fast Sampling of Diffusion Probabilistic Modelscited by 9
  9. 2024Molecular relaxation by reverse diffusion with time step predictioncited by 9
  10. 2024DiffGAD: A Diffusion-based Unsupervised Graph Anomaly Detectorcited by 9
  11. 2024Generative AI and Process Systems Engineering: The Next Frontiercited by 8
  12. 2025Straight-Line Diffusion Model for Efficient 3D Molecular Generationcited by 8
  13. 2025Siamese Foundation Models for Crystal Structure Predictioncited by 8
  14. 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
  15. 2023A Comprehensive Survey on Generative Diffusion Models for Structured Datacited by 7
  16. 2024Hybrid-Generative Diffusion Models for Attack-Oriented Twin Migration in Vehicular Metaversescited by 7
  17. 2025Unified Guidance for Geometry-Conditioned Molecular Generationcited by 7
  18. 2024Single Image Rolling Shutter Removal with Diffusion Modelscited by 5
  19. 2024FedDM: Enhancing Communication Efficiency and Handling Data Heterogeneity in Federated Diffusion Modelscited by 5
  20. 2024Text-guided Diffusion Model for 3D Molecule Generationcited by 5
  21. 2025Sampling 3D Molecular Conformers with Diffusion Transformerscited by 5
  22. 2025DiffSpectra: Molecular Structure Elucidation from Spectra using Diffusion Modelscited by 5
  23. 2026Molecular Representations in Implicit Functional Space via Hyper-Networkscited by 5
  24. 2023Gradual Optimization Learning for Conformational Energy Minimizationcited by 4
  25. 2024Regressor-free Molecule Generation to Support Drug Response Predictioncited by 3
  26. 2024Partially Conditioned Patch Parallelism for Accelerated Diffusion Model Inferencecited by 3
  27. 2025Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Modelscited by 3
  28. 2025Unraveling the Potential of Diffusion Models in Small Molecule Generationcited by 3
  29. 2024Diffusion-based Graph Generative Methodscited by 2
  30. 2024ControlMol: Adding Substructure Control To Molecule Diffusion Modelscited by 2
  31. 2024nach0-pc: Multi-task Language Model with Molecular Point Cloud Encodercited by 2
  32. 2025Uncertainty-Aware Multi-Objective Reinforcement Learning-Guided Diffusion Models for 3D De Novo Molecular Designcited by 2
  33. 2023Unbiasing Enhanced Sampling on a High-dimensional Free Energy Surface with Deep Generative Modelcited by 1
  34. 2024Risk-Sensitive Diffusion: Robustly Optimizing Diffusion Models with Noisy Samplescited by 1
  35. 2024Response Matching for generating materials and moleculescited by 1
  36. 2024Repurformer: Transformers for Repurposing-Aware Molecule Generationcited by 1
  37. 2025Generative molecule evolution using 3D pharmacophore for efficient Structure-Based Drug Designcited by 1
  38. 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generationcited by 1

50 most cited of 58 All 58 (JSON)

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  1. 2023Geometric Latent Diffusion Models for 3D Molecule Generation
  2. 2025D3MES: Diffusion Transformer with multihead equivariant self-attention for 3D molecule generation
  3. 2023Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation
  4. 2023Coarse-to-Fine: a Hierarchical Diffusion Model for Molecule Generation in 3D
  5. 2026Autoregressive latent diffusion for 3D molecule generation
  6. 2022Diffusion-based Molecule Generation with Informative Prior Bridges
  7. 2023Geometry-Complete Diffusion for 3D Molecule Generation and Optimization
  8. 2023MolDiff: Addressing the Atom-Bond Inconsistency Problem in 3D Molecule Diffusion Generation