Exploring Discrete Flow Matching for 3D De Novo Molecule Generation
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Deep generative models that produce novel molecular structures have the potential to facilitate chemical discovery. Flow matching is a recently proposed generative modeling framework that has achieved impressive performance on a variety of tasks including those on biomolecular structures. The seminal flow matching framework was developed only for continuous data. However, de novo molecular design tasks require generating discrete data such as atomic elements or sequences of amino acid residues. Several discrete flow matching methods have been proposed recently to address this gap. In this work we benchmark the performance of existing discrete flow matching methods for 3D de novo small molecule generation and provide explanations of their differing behavior. As a result we present FlowMol-CTMC, an open-source model that achieves state of the art performance for 3D de novo design with fewer learnable parameters than existing methods. Additionally, we propose the use of metrics that capture molecule quality beyond local chemical valency constraints and towards higher-order structural motifs. These metrics show that even though basic constraints are satisfied, the models tend to produce unusual and potentially problematic functional groups outside of the training data distribution. Code and trained models for reproducing this work are available at urlhttps://github.com/dunni3/FlowMol.
Key facts. Cited by 11 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 31 of its 44 references that are in the map. First posted on arXiv 25 Nov 2024.
Builds on
31 of 44 references.
Closest ancestors · 19
Same direction, newest first
- 2024Discrete Flow Matching22 Jul
- 2024Variational Flow Matching for Graph Generation7 Jun
- 2024Sequence-Augmented SE(3)-Flow Matching For Conditional Protein Backbone Generation30 May
- 2024Categorical Flow Matching on Statistical Manifolds26 May
- 2024Fisher Flow Matching for Generative Modeling over Discrete Data23 May
- 2024Mixed Continuous and Categorical Flow Matching for 3D De Novo Molecule Generation30 Apr
- 2024Dirichlet Flow Matching with Applications to DNA Sequence Design8 Feb
- 2024Generative Flows on Discrete State-Spaces: Enabling Multimodal Flows with Applications to Protein Co-Design7 Feb
- 2023Equivariant Flow Matching with Hybrid Probability Transport12 Dec
- 2023Accelerating Inference in Molecular Diffusion Models with Latent Representations of Protein Structure22 Nov
- 2023SE(3)-Stochastic Flow Matching for Protein Backbone Generation3 Oct
- 2023Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation29 Sep
7 more
- 2023Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generation21 May
- 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generation17 Feb
- 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
- 2022Structure-based Drug Design with Equivariant Diffusion Models24 Oct
- 2022Equivariant 3D-Conditional Diffusion Models for Molecular Linker Design11 Oct
- 2022Flow Matching for Generative Modeling6 Oct
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep
Other references · 12
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 897
- 2024SiT: Exploring Flow and Diffusion-based Generative Models with Scalable Interpolant Transformerscited by 707
- 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
- 2022Pocket2Mol: Efficient Molecular Sampling Based on 3D Protein Pocketscited by 182
- 20233D Equivariant Diffusion for Target-Aware Molecule Generation and Affinity Predictioncited by 176
- 2022Generating 3D Molecules for Target Protein Bindingcited by 104
- 2023MatterGen: a generative model for inorganic materials designcited by 98
- 2021Equivariant Graph Neural Networks for 3D Macromolecular Structurecited by 53
- 2024SemlaFlow -- Efficient 3D Molecular Generation with Latent Attention and Equivariant Flow Matchingcited by 40
Built on by
Citing papers per year: 2024: 1; 2025: 8; 2026: 2.
11 papers.
- 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generationcited by 20
- 2025Flow Matching Meets Biology and Life Science: A Surveycited by 14
- 2025Multi-Objective-Guided Discrete Flow Matching for Controllable Biological Sequence Designcited by 13
- 2025GEOM-Drugs Revisited: Toward More Chemically Accurate Benchmarks for 3D Molecule Generationcited by 8
- 2025AReUReDi: Annealed Rectified Updates for Refining Discrete Flows with Multi-Objective Guidancecited by 5
- 2025MolGuidance: Advanced Guidance Strategies for Conditional Molecular Generation with Flow Matchingcited by 4
- 2026Boltzmann-Expected Molecular Design with Decoupled Annealing Flowscited by 1
- 2024Sampling Out-of-Distribution Chemical Spaces via Bayesian Flowcited by 0
- 2025Discovery of Sustainable Refrigerants through Physics-Informed RL Fine-Tuning of Sequence Modelscited by 0
- 2025VEDA: 3D Molecular Generation via Variance-Exploding Diffusion with Annealingcited by 0
- 2026Embedded Graph Flows for Categorical Graph Generationcited by 0
- 2026Embedded Graph Flows for Categorical Graph Generation4 Sep 2026
- 2026Boltzmann-Expected Molecular Design with Decoupled Annealing Flows21 Jul 2026
- 2025MolGuidance: Advanced Guidance Strategies for Conditional Molecular Generation with Flow Matching13 Dec 2025
- 2025VEDA: 3D Molecular Generation via Variance-Exploding Diffusion with Annealing11 Nov 2025
- 2025AReUReDi: Annealed Rectified Updates for Refining Discrete Flows with Multi-Objective Guidance30 Sep 2025
- 2025Discovery of Sustainable Refrigerants through Physics-Informed RL Fine-Tuning of Sequence Models23 Sep 2025
- 2025FlowMol3: Flow Matching for 3D De Novo Small-Molecule Generation18 Aug 2025
- 2025Flow Matching Meets Biology and Life Science: A Survey23 Jul 2025
- 2025Multi-Objective-Guided Discrete Flow Matching for Controllable Biological Sequence Design11 May 2025
- 2025GEOM-Drugs Revisited: Toward More Chemically Accurate Benchmarks for 3D Molecule Generation30 Apr 2025
- 2024Sampling Out-of-Distribution Chemical Spaces via Bayesian Flow16 Dec 2024
Similar, not cited
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- 2025Applications of Modular Co-Design for De Novo 3D Molecule Generation
- 2025Compositional Flows for 3D Molecule and Synthesis Pathway Co-design
- 2026FlowMS: Flow Matching for De Novo Structure Elucidation from Mass Spectra
- 2025THFlow: A Temporally Hierarchical Flow Matching Framework for 3D Peptide Design
- 2025FragFM: Hierarchical Framework for Efficient Molecule Generation via Fragment-Level Discrete Flow Matching
- 2025FlexiFlow: decomposable flow matching for generation of flexible molecular ensemble
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