MDM: Molecular Diffusion Model for 3D Molecule Generation
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
- 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
- 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generation6 Mar
Other references · 22
- 2014Adam: A Method for Stochastic Optimizationcited by 36,960
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2020Denoising Diffusion Implicit Modelscited by 9,655
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
- 2016Automatic chemical design using a data-driven continuous representation of moleculescited by 762
- 2018Junction Tree Variational Autoencoder for Molecular Graph Generationcited by 647
- 2017SchNet: A continuous-filter convolutional neural network for modeling quantum interactionscited by 569
- 2018MolGAN: An implicit generative model for small molecular graphscited by 392
- 2019Cormorant: Covariant Molecular Neural Networkscited by 262
- 2020Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densitiescited by 248
10 more
- 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
- 2016A Kernelized Stein Discrepancy for Goodness-of-fit Tests and Model Evaluationcited by 236
- 2020MoFlow: An Invertible Flow Model for Generating Molecular Graphscited by 183
- 2021GraphDF: A Discrete Flow Model for Molecular Graph Generationcited by 177
- 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 171
- 2021E(n) Equivariant Normalizing Flowscited by 165
- 2021Learning Gradient Fields for Molecular Conformation Generationcited by 162
- 2018Syntax-Directed Variational Autoencoder for Structured Datacited by 103
- 2019Molecular geometry prediction using a deep generative graph neural networkcited by 91
- 2021An End-to-End Framework for Molecular Conformation Generation via Bilevel Programmingcited by 59
Built on by
Citing papers per year: 2023: 14; 2024: 24; 2025: 15; 2026: 5.
58 papers.
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- 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generationcited by 96
- 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
- 2024Discrete-state Continuous-time Diffusion for Graph Generationcited by 73
- 2023Enhancing Deep Reinforcement Learning: A Tutorial on Generative Diffusion Models in Network Optimizationcited by 56
- 2023MUDiff: Unified Diffusion for Complete Molecule Generationcited by 41
- 20233D molecule generation by denoising voxel gridscited by 38
- 2023A Survey on Graph Diffusion Models: Generative AI in Science for Molecule, Protein and Materialcited by 34
- 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
- 2024Denoising Diffusion Recommender Modelcited by 28
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applicationscited by 28
- 2023Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generationcited by 27
- 2024Diffusion Models in textitDe Novo Drug Designcited by 26
38 more
- 2024Structure-based drug design by denoising voxel gridscited by 18
- 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generationcited by 17
- 2024A Practical Guide to Sample-based Statistical Distances for Evaluating Generative Models in Sciencecited by 14
- 2025Flow Matching Meets Biology and Life Science: A Surveycited by 14
- 2025Distinguished Quantized Guidance for Diffusion-based Sequence Recommendationcited by 13
- 2024Geometric-Facilitated Denoising Diffusion Model for 3D Molecule Generationcited by 12
- 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraintscited by 10
- 2023ERA-Solver: Error-Robust Adams Solver for Fast Sampling of Diffusion Probabilistic Modelscited by 9
- 2024Molecular relaxation by reverse diffusion with time step predictioncited by 9
- 2024DiffGAD: A Diffusion-based Unsupervised Graph Anomaly Detectorcited by 9
- 2024Generative AI and Process Systems Engineering: The Next Frontiercited by 8
- 2025Straight-Line Diffusion Model for Efficient 3D Molecular Generationcited by 8
- 2025Siamese Foundation Models for Crystal Structure Predictioncited by 8
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
- 2023A Comprehensive Survey on Generative Diffusion Models for Structured Datacited by 7
- 2024Hybrid-Generative Diffusion Models for Attack-Oriented Twin Migration in Vehicular Metaversescited by 7
- 2025Unified Guidance for Geometry-Conditioned Molecular Generationcited by 7
- 2024Single Image Rolling Shutter Removal with Diffusion Modelscited by 5
- 2024FedDM: Enhancing Communication Efficiency and Handling Data Heterogeneity in Federated Diffusion Modelscited by 5
- 2024Text-guided Diffusion Model for 3D Molecule Generationcited by 5
- 2025Sampling 3D Molecular Conformers with Diffusion Transformerscited by 5
- 2025DiffSpectra: Molecular Structure Elucidation from Spectra using Diffusion Modelscited by 5
- 2026Molecular Representations in Implicit Functional Space via Hyper-Networkscited by 5
- 2023Gradual Optimization Learning for Conformational Energy Minimizationcited by 4
- 2024Regressor-free Molecule Generation to Support Drug Response Predictioncited by 3
- 2024Partially Conditioned Patch Parallelism for Accelerated Diffusion Model Inferencecited by 3
- 2025Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Modelscited by 3
- 2025Unraveling the Potential of Diffusion Models in Small Molecule Generationcited by 3
- 2024Diffusion-based Graph Generative Methodscited by 2
- 2024ControlMol: Adding Substructure Control To Molecule Diffusion Modelscited by 2
- 2024nach0-pc: Multi-task Language Model with Molecular Point Cloud Encodercited by 2
- 2025Uncertainty-Aware Multi-Objective Reinforcement Learning-Guided Diffusion Models for 3D De Novo Molecular Designcited by 2
- 2023Unbiasing Enhanced Sampling on a High-dimensional Free Energy Surface with Deep Generative Modelcited by 1
- 2024Risk-Sensitive Diffusion: Robustly Optimizing Diffusion Models with Noisy Samplescited by 1
- 2024Response Matching for generating materials and moleculescited by 1
- 2024Repurformer: Transformers for Repurposing-Aware Molecule Generationcited by 1
- 2025Generative molecule evolution using 3D pharmacophore for efficient Structure-Based Drug Designcited by 1
- 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generationcited by 1
50 most cited of 58 All 58 (JSON)
- 2026A Systematic Evaluation of Molecule Generation Models for De Novo Drug Design: From Benchmarks to Practical Insights9 Sep 2026
- 2026MGDiff: Multi-Interest Sequence Recommendation with Masking GNN-Guided Diffusion30 Jun 2026
- 2026Generative Pseudo-Force Fields for Molecular Generation18 May 2026
- 2026Latent Diffusion-Based 3D Molecular Recovery from Vibrational Spectra6 Mar 2026
- 2026Molecular Representations in Implicit Functional Space via Hyper-Networks29 Jan 2026
- 2025MolSculpt: Sculpting 3D Molecular Geometries from Chemical Syntax9 Dec 2025
- 2025VEDA: 3D Molecular Generation via Variance-Exploding Diffusion with Annealing11 Nov 2025
- 2025Uncertainty-Aware Multi-Objective Reinforcement Learning-Guided Diffusion Models for 3D De Novo Molecular Design24 Oct 2025
- 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generation6 Oct 2025
- 2025Generative molecule evolution using 3D pharmacophore for efficient Structure-Based Drug Design27 Jul 2025
- 2025Flow Matching Meets Biology and Life Science: A Survey23 Jul 2025
- 2025DiffSpectra: Molecular Structure Elucidation from Spectra using Diffusion Models9 Jul 2025
38 more
- 2025Unraveling the Potential of Diffusion Models in Small Molecule Generation25 Jun 2025
- 2025Sampling 3D Molecular Conformers with Diffusion Transformers18 Jun 2025
- 2025Siamese Foundation Models for Crystal Structure Prediction13 Mar 2025
- 2025Straight-Line Diffusion Model for Efficient 3D Molecular Generation4 Mar 2025
- 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generation18 Feb 2025
- 2025Disentangling Total-Variance and Signal-to-Noise-Ratio Improves Diffusion Models12 Feb 2025
- 2025Distinguished Quantized Guidance for Diffusion-based Sequence Recommendation29 Jan 2025
- 2025Unified Guidance for Geometry-Conditioned Molecular Generation5 Jan 2025
- 2024LMDM:Latent Molecular Diffusion Model For 3D Molecule Generation5 Dec 2024
- 2024Partially Conditioned Patch Parallelism for Accelerated Diffusion Model Inference4 Dec 2024
- 2024nach0-pc: Multi-task Language Model with Molecular Point Cloud Encoder11 Oct 2024
- 2024DiffGAD: A Diffusion-based Unsupervised Graph Anomaly Detector9 Oct 2024
- 2024Text-guided Diffusion Model for 3D Molecule Generation4 Oct 2024
- 2024FedDM: Enhancing Communication Efficiency and Handling Data Heterogeneity in Federated Diffusion Models20 Jul 2024
- 2024Repurformer: Transformers for Repurposing-Aware Molecule Generation16 Jul 2024
- 2024Hybrid-Generative Diffusion Models for Attack-Oriented Twin Migration in Vehicular Metaverses5 Jul 2024
- 2024Single Image Rolling Shutter Removal with Diffusion Models3 Jul 2024
- 2024Diffusion Models in textitDe Novo Drug Design7 Jun 2024
- 2024Regressor-free Molecule Generation to Support Drug Response Prediction23 May 2024
- 2024Discrete-state Continuous-time Diffusion for Graph Generation19 May 2024
- 2024Response Matching for generating materials and molecules15 May 2024
- 2024Structure-based drug design by denoising voxel grids7 May 2024
- 2024ControlMol: Adding Substructure Control To Molecule Diffusion Models22 Apr 2024
- 2024Molecular relaxation by reverse diffusion with time step prediction16 Apr 2024
- 2024A Practical Guide to Sample-based Statistical Distances for Evaluating Generative Models in Science19 Mar 2024
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applications1 Mar 2024
- 2024Generative AI and Process Systems Engineering: The Next Frontier15 Feb 2024
- 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generation13 Feb 2024
- 2024Risk-Sensitive Diffusion: Robustly Optimizing Diffusion Models with Noisy Samples3 Feb 2024
- 2024Diffusion-based Graph Generative Methods28 Jan 2024
- 2024Denoising Diffusion Recommender Model13 Jan 2024
- 2024Geometric-Facilitated Denoising Diffusion Model for 3D Molecule Generation5 Jan 2024
- 2023Unbiasing Enhanced Sampling on a High-dimensional Free Energy Surface with Deep Generative Model14 Dec 2023
- 2023Gradual Optimization Learning for Conformational Energy Minimization5 Nov 2023
- 2023Enhancing Deep Reinforcement Learning: A Tutorial on Generative Diffusion Models in Network Optimization10 Aug 2023
- 2023DiffDTM: A conditional structure-free framework for bioactive molecules generation targeted for dual proteins24 Jun 2023
- 20233D molecule generation by denoising voxel grids13 Jun 2023
- 2023A Comprehensive Survey on Generative Diffusion Models for Structured Data7 Jun 2023
50 newest of 58 All 58 (JSON)
- 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generationcited by 96
- 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
- 2024Discrete-state Continuous-time Diffusion for Graph Generationcited by 73
- 2023Enhancing Deep Reinforcement Learning: A Tutorial on Generative Diffusion Models in Network Optimizationcited by 56
- 2023A Survey on Graph Diffusion Models: Generative AI in Science for Molecule, Protein and Materialcited by 34
- 2024Denoising Diffusion Recommender Modelcited by 28
- 2023Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generationcited by 27
- 2024Diffusion Models in textitDe Novo Drug Designcited by 26
- 2024Structure-based drug design by denoising voxel gridscited by 18
- 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generationcited by 17
- 2025Flow Matching Meets Biology and Life Science: A Surveycited by 14
- 2025Distinguished Quantized Guidance for Diffusion-based Sequence Recommendationcited by 13
12 most cited of 38 All 38 (JSON)
- 2026MGDiff: Multi-Interest Sequence Recommendation with Masking GNN-Guided Diffusion30 Jun 2026
- 2026Generative Pseudo-Force Fields for Molecular Generation18 May 2026
- 2025MolSculpt: Sculpting 3D Molecular Geometries from Chemical Syntax9 Dec 2025
- 2025VEDA: 3D Molecular Generation via Variance-Exploding Diffusion with Annealing11 Nov 2025
- 2025Uncertainty-Aware Multi-Objective Reinforcement Learning-Guided Diffusion Models for 3D De Novo Molecular Design24 Oct 2025
- 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generation6 Oct 2025
- 2025Flow Matching Meets Biology and Life Science: A Survey23 Jul 2025
- 2025DiffSpectra: Molecular Structure Elucidation from Spectra using Diffusion Models9 Jul 2025
- 2025Unraveling the Potential of Diffusion Models in Small Molecule Generation25 Jun 2025
- 2025Sampling 3D Molecular Conformers with Diffusion Transformers18 Jun 2025
- 2025Straight-Line Diffusion Model for Efficient 3D Molecular Generation4 Mar 2025
- 2025NExT-Mol: 3D Diffusion Meets 1D Language Modeling for 3D Molecule Generation18 Feb 2025
12 newest of 38 All 38 (JSON)
- 2023MUDiff: Unified Diffusion for Complete Molecule Generationcited by 41
- 20233D molecule generation by denoising voxel gridscited by 38
- 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applicationscited by 28
- 2024A Practical Guide to Sample-based Statistical Distances for Evaluating Generative Models in Sciencecited by 14
- 2024Molecular relaxation by reverse diffusion with time step predictioncited by 9
- 2024DiffGAD: A Diffusion-based Unsupervised Graph Anomaly Detectorcited by 9
- 2024Generative AI and Process Systems Engineering: The Next Frontiercited by 8
- 2025Siamese Foundation Models for Crystal Structure Predictioncited by 8
- 2023PrefixMol: Target- and Chemistry-aware Molecule Design via Prefix Embeddingcited by 7
- 2026Molecular Representations in Implicit Functional Space via Hyper-Networkscited by 5
- 2023Gradual Optimization Learning for Conformational Energy Minimizationcited by 4
12 most cited of 20 All 20 (JSON)
- 2026A Systematic Evaluation of Molecule Generation Models for De Novo Drug Design: From Benchmarks to Practical Insights9 Sep 2026
- 2026Latent Diffusion-Based 3D Molecular Recovery from Vibrational Spectra6 Mar 2026
- 2026Molecular Representations in Implicit Functional Space via Hyper-Networks29 Jan 2026
- 2025Generative molecule evolution using 3D pharmacophore for efficient Structure-Based Drug Design27 Jul 2025
- 2025Siamese Foundation Models for Crystal Structure Prediction13 Mar 2025
- 2024DiffGAD: A Diffusion-based Unsupervised Graph Anomaly Detector9 Oct 2024
- 2024Repurformer: Transformers for Repurposing-Aware Molecule Generation16 Jul 2024
- 2024Regressor-free Molecule Generation to Support Drug Response Prediction23 May 2024
- 2024Response Matching for generating materials and molecules15 May 2024
- 2024Molecular relaxation by reverse diffusion with time step prediction16 Apr 2024
- 2024A Practical Guide to Sample-based Statistical Distances for Evaluating Generative Models in Science19 Mar 2024
- 2024A Survey of Geometric Graph Neural Networks: Data Structures, Models and Applications1 Mar 2024
12 newest of 20 All 20 (JSON)
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- 2023Coarse-to-Fine: a Hierarchical Diffusion Model for Molecule Generation in 3D
- 2026Autoregressive latent diffusion for 3D molecule generation
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