GraphNVP: An Invertible Flow Model for Generating Molecular Graphs
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Cited by 27 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
We propose GraphNVP, the first invertible, normalizing flow-based molecular graph generation model. We decompose the generation of a graph into two steps: generation of (i) an adjacency tensor and (ii) node attributes. This decomposition yields the exact likelihood maximization on graph-structured data, combined with two novel reversible flows. We empirically demonstrate that our model efficiently generates valid molecular graphs with almost no duplicated molecules. In addition, we observe that the learned latent space can be used to generate molecules with desired chemical properties.
Key facts. Cited by 115 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 May 2019.
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Citing papers per year: 2020: 1; 2021: 17; 2022: 30; 2023: 24; 2024: 17; 2025: 18; 2026: 8.
115 papers.
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- 2022DiGress: Discrete Denoising diffusion for graph generationcited by 503
- 2022Score-based Generative Modeling of Graphs via the System of Stochastic Differential Equationscited by 273
- 2020Permutation Invariant Graph Generation via Score-Based Generative Modelingcited by 263
- 2022Graph neural networks for materials science and chemistrycited by 181
- 2021GraphDF: A Discrete Flow Model for Molecular Graph Generationcited by 177
- 2022Generating 3D Molecules for Target Protein Bindingcited by 104
- 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generationcited by 96
- 2021GraphEBM: Molecular Graph Generation with Energy-Based Modelscited by 85
- 2023A Complete Survey on Generative AI (AIGC): Is ChatGPT from GPT-4 to GPT-5 All You Need?cited by 84
- 2023Autoregressive Diffusion Model for Graph Generationcited by 82
- 2024Variational Flow Matching for Graph Generationcited by 78
- 2023Efficient and Degree-Guided Graph Generation via Discrete Diffusion Modelingcited by 75
38 more
- 2021AutoGCL: Automated Graph Contrastive Learning via Learnable View Generatorscited by 73
- 2024Discrete-state Continuous-time Diffusion for Graph Generationcited by 73
- 2022Equivariant Energy-Guided SDE for Inverse Molecular Designcited by 72
- 2021Keeping it Simple: Language Models can learn Complex Molecular Distributionscited by 68
- 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Designcited by 66
- 2024Efficient Evolutionary Search Over Chemical Space with Large Language Modelscited by 59
- 2021Differentiable Scaffolding Tree for Molecular Optimizationcited by 53
- 2022Regression Transformer: Concurrent sequence regression and generation for molecular language modelingcited by 49
- 2021Improving Graph Neural Networks with Simple Architecture Designcited by 41
- 2022LIMO: Latent Inceptionism for Targeted Molecule Generationcited by 40
- 2023A Survey on Graph Diffusion Models: Generative AI in Science for Molecule, Protein and Materialcited by 34
- 20223DLinker: An E(3) Equivariant Variational Autoencoder for Molecular Linker Designcited by 33
- 2023Genetic algorithms are strong baselines for molecule generationcited by 31
- 2021Artificial Intelligence in Drug Discovery: Applications and Techniquescited by 28
- 2022Data-Efficient Graph Grammar Learning for Molecular Generationcited by 26
- 2023SwinGNN: Rethinking Permutation Invariance in Diffusion Models for Graph Generationcited by 26
- 2023Sparse Training of Discrete Diffusion Models for Graph Generationcited by 26
- 2024Diffusion Models in textitDe Novo Drug Designcited by 26
- 2021MolGrow: A Graph Normalizing Flow for Hierarchical Molecular Generationcited by 22
- 2023Data-centric Graph Learning: A Surveycited by 22
- 2022Graph Neural Networks for Moleculescited by 21
- 2022Controllable Data Generation by Deep Learning: A Reviewcited by 20
- 2022Target-aware Molecular Graph Generationcited by 18
- 2022NVDiff: Graph Generation through the Diffusion of Node Vectorscited by 18
- 2024Generative Modelling of Structurally Constrained Graphscited by 17
- 2025Graph Generative Pre-trained Transformercited by 16
- 2023A Simple and Scalable Representation for Graph Generationcited by 15
- 2024Generative AI for Unmanned Vehicle Swarms: Challenges, Applications and Opportunitiescited by 14
- 2022Molecule Generation for Drug Design: a Graph Learning Perspectivecited by 13
- 2022Modular Flows: Differential Molecular Generationcited by 11
- 2022Score-Based Generative Models for Molecule Generationcited by 10
- 2023An Equivariant Generative Framework for Molecular Graph-Structure Co-Designcited by 10
- 2023Discrete Graph Auto-Encodercited by 10
- 2022FastFlows: Flow-Based Models for Molecular Graph Generationcited by 9
- 2023Node-Aligned Graph-to-Graph (NAG2G): Elevating Template-Free Deep Learning Approaches in Single-Step Retrosynthesiscited by 9
- 2025Simple and Critical Iterative Denoising: A Recasting of Discrete Diffusion in Graph Generationcited by 9
- 2022TO-FLOW: Efficient Continuous Normalizing Flows with Temporal Optimization adjoint with Moving Speedcited by 8
- 2022Conditional β-VAE for De Novo Molecular Generationcited by 8
50 most cited of 115 All 115 (JSON)
- 2026From Graphs to Feeders: Constraint-Guided Diffusion for Rule-Compliant Feeder Generation24 Sep 2026
- 2026From topology learning to graph generation: A unifying perspective2 Sep 2026
- 2026Multigrid Training for Molecular Generation using Graph Neural Networks21 Jun 2026
- 2026DriftingMol: Decoder-Coupled Drift for One-Pass Property-Conditional Molecular Generation24 May 2026
- 2026Hierarchical Discrete Flow Matching for Graph Generation31 Mar 2026
- 2026Unrestrained Simplex Denoising for Discrete Data. A Non-Markovian Approach Applied to Graph Generation30 Mar 2026
- 2026Neural Proposals, Symbolic Guarantees: Neuro-Symbolic Graph Generative Modeling18 Feb 2026
- 2026Building Deep Graph Predictors with Graph Imitation Learning21 Jan 2026
- 2025Generative Models for Crystalline Materials27 Nov 2025
- 2025FRAGMENTA: End-to-end Fragmentation-based Generative Model with Agentic Tuning for Drug Lead Optimization25 Nov 2025
- 2025Diffusion Models at the Drug Discovery Frontier: A Review on Generating Small Molecules versus Therapeutic Peptides31 Oct 2025
- 2025BadGraph: A Backdoor Attack Against Latent Diffusion Model for Text-Guided Graph Generation23 Oct 2025
38 more
- 2025GraphWeave: Interpretable and Robust Graph Generation via Random Walk Trajectories22 Sep 2025
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- 2025MolSnap: Snap-Fast Molecular Generation with Latent Variational Mean Flow7 Aug 2025
- 2025Generating Directed Graphs with Dual Attention and Asymmetric Encoding19 Jun 2025
- 2025A Comprehensive Benchmarking Platform for Deep Generative Models in Molecular Design19 May 2025
- 2025DMol: A Highly Efficient and Chemical Motif-Preserving Molecule Generation Platform8 Apr 2025
- 2025Simple and Critical Iterative Denoising: A Recasting of Discrete Diffusion in Graph Generation27 Mar 2025
- 2025A Reinforcement Learning-Driven Transformer GAN for Molecular Generation17 Mar 2025
- 2025Probabilistic Graph Circuits: Deep Generative Models for Tractable Probabilistic Inference over Graphs15 Mar 2025
- 2025Backdoor Attacks on Discrete Graph Diffusion Models8 Mar 2025
- 2025Auto-encoding Molecules: Graph-Matching Capabilities Matter1 Mar 2025
- 2025HybridLinker: Topology-Guided Posterior Sampling for Enhanced Diversity and Validity in 3D Molecular Linker Generation24 Feb 2025
- 2025Gradient GA: Gradient Genetic Algorithm for Drug Molecular Design14 Feb 2025
- 2025Graph Generative Pre-trained Transformer2 Jan 2025
- 2024Text-guided Diffusion Model for 3D Molecule Generation4 Oct 2024
- 2024G2T-LLM: Graph-to-Tree Text Encoding for Molecule Generation with Fine-Tuned Large Language Models3 Oct 2024
- 2024PieClam: A Universal Graph Autoencoder Based on Overlapping Inclusive and Exclusive Communities18 Sep 2024
- 2024GraphSPNs: Sum-Product Networks Benefit From Canonical Orderings18 Aug 2024
- 2024Cycle-Configuration: A Novel Graph-theoretic Descriptor Set for Molecular Inference9 Aug 2024
- 2024Generative Model for Small Molecules with Latent Space RL Fine-Tuning to Protein Targets2 Jul 2024
- 2024Generative Modelling of Structurally Constrained Graphs25 Jun 2024
- 2024Efficient Evolutionary Search Over Chemical Space with Large Language Models23 Jun 2024
- 2024Diffusion Models in textitDe Novo Drug Design7 Jun 2024
- 2024Large Generative Graph Models7 Jun 2024
- 2024Variational Flow Matching for Graph Generation7 Jun 2024
- 2024Discrete-state Continuous-time Diffusion for Graph Generation19 May 2024
- 2024Navigating Chemical Space with Latent Flows7 May 2024
- 2024Physics-integrated generative modeling using attentive planar normalizing flow based variational autoencoder18 Apr 2024
- 20243M-Diffusion: Latent Multi-Modal Diffusion for Language-Guided Molecular Structure Generation11 Mar 2024
- 2024Generative AI for Unmanned Vehicle Swarms: Challenges, Applications and Opportunities28 Feb 2024
- 2024Overcoming Order in Autoregressive Graph Generation4 Feb 2024
- 2023A Simple and Scalable Representation for Graph Generation4 Dec 2023
- 2023Sparse Training of Discrete Diffusion Models for Graph Generation3 Nov 2023
- 2023Genetic algorithms are strong baselines for molecule generation13 Oct 2023
- 2023Kernel-Elastic Autoencoder for Molecular Design12 Oct 2023
- 2023Data-centric Graph Learning: A Survey8 Oct 2023
- 2023Diffusing on Two Levels and Optimizing for Multiple Properties: A Novel Approach to Generating Molecules with Desirable Properties5 Oct 2023
- 2023Node-Aligned Graph-to-Graph (NAG2G): Elevating Template-Free Deep Learning Approaches in Single-Step Retrosynthesis27 Sep 2023
50 newest of 115 All 115 (JSON)
- 2022DiGress: Discrete Denoising diffusion for graph generationcited by 503
- 2022Score-based Generative Modeling of Graphs via the System of Stochastic Differential Equationscited by 273
- 2020Permutation Invariant Graph Generation via Score-Based Generative Modelingcited by 263
- 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generationcited by 96
- 2023Autoregressive Diffusion Model for Graph Generationcited by 82
- 2024Variational Flow Matching for Graph Generationcited by 78
- 2023Efficient and Degree-Guided Graph Generation via Discrete Diffusion Modelingcited by 75
- 2024Discrete-state Continuous-time Diffusion for Graph Generationcited by 73
- 2023A Survey on Graph Diffusion Models: Generative AI in Science for Molecule, Protein and Materialcited by 34
- 2023SwinGNN: Rethinking Permutation Invariance in Diffusion Models for Graph Generationcited by 26
- 2023Sparse Training of Discrete Diffusion Models for Graph Generationcited by 26
- 2024Diffusion Models in textitDe Novo Drug Designcited by 26
12 most cited of 27 All 27 (JSON)
- 2026From Graphs to Feeders: Constraint-Guided Diffusion for Rule-Compliant Feeder Generation24 Sep 2026
- 2026Hierarchical Discrete Flow Matching for Graph Generation31 Mar 2026
- 2026Unrestrained Simplex Denoising for Discrete Data. A Non-Markovian Approach Applied to Graph Generation30 Mar 2026
- 2025Diffusion Models at the Drug Discovery Frontier: A Review on Generating Small Molecules versus Therapeutic Peptides31 Oct 2025
- 2025BadGraph: A Backdoor Attack Against Latent Diffusion Model for Text-Guided Graph Generation23 Oct 2025
- 2025DMol: A Highly Efficient and Chemical Motif-Preserving Molecule Generation Platform8 Apr 2025
- 2025Simple and Critical Iterative Denoising: A Recasting of Discrete Diffusion in Graph Generation27 Mar 2025
- 2025Backdoor Attacks on Discrete Graph Diffusion Models8 Mar 2025
- 2024Text-guided Diffusion Model for 3D Molecule Generation4 Oct 2024
- 2024Generative Modelling of Structurally Constrained Graphs25 Jun 2024
- 2024Diffusion Models in textitDe Novo Drug Design7 Jun 2024
- 2024Large Generative Graph Models7 Jun 2024
12 newest of 27 All 27 (JSON)
- 2022Graph neural networks for materials science and chemistrycited by 181
- 2021GraphDF: A Discrete Flow Model for Molecular Graph Generationcited by 177
- 2022Generating 3D Molecules for Target Protein Bindingcited by 104
- 2021GraphEBM: Molecular Graph Generation with Energy-Based Modelscited by 85
- 2023A Complete Survey on Generative AI (AIGC): Is ChatGPT from GPT-4 to GPT-5 All You Need?cited by 84
- 2021AutoGCL: Automated Graph Contrastive Learning via Learnable View Generatorscited by 73
- 2022Equivariant Energy-Guided SDE for Inverse Molecular Designcited by 72
- 2021Keeping it Simple: Language Models can learn Complex Molecular Distributionscited by 68
- 2022MolGenSurvey: A Systematic Survey in Machine Learning Models for Molecule Designcited by 66
- 2024Efficient Evolutionary Search Over Chemical Space with Large Language Modelscited by 59
- 2021Differentiable Scaffolding Tree for Molecular Optimizationcited by 53
- 2022Regression Transformer: Concurrent sequence regression and generation for molecular language modelingcited by 49
12 most cited of 87 All 87 (JSON)
- 2026From topology learning to graph generation: A unifying perspective2 Sep 2026
- 2026Multigrid Training for Molecular Generation using Graph Neural Networks21 Jun 2026
- 2026DriftingMol: Decoder-Coupled Drift for One-Pass Property-Conditional Molecular Generation24 May 2026
- 2026Neural Proposals, Symbolic Guarantees: Neuro-Symbolic Graph Generative Modeling18 Feb 2026
- 2026Building Deep Graph Predictors with Graph Imitation Learning21 Jan 2026
- 2025Generative Models for Crystalline Materials27 Nov 2025
- 2025GraphWeave: Interpretable and Robust Graph Generation via Random Walk Trajectories22 Sep 2025
- 2025Two Birds with One Stone: Enhancing Uncertainty Quantification and Interpretability with Graph Functional Neural Process23 Aug 2025
- 2025MolSnap: Snap-Fast Molecular Generation with Latent Variational Mean Flow7 Aug 2025
- 2025Generating Directed Graphs with Dual Attention and Asymmetric Encoding19 Jun 2025
- 2025A Comprehensive Benchmarking Platform for Deep Generative Models in Molecular Design19 May 2025
- 2025A Reinforcement Learning-Driven Transformer GAN for Molecular Generation17 Mar 2025
12 newest of 87 All 87 (JSON)