mlsanityData to 7 Oct 2026

Sequence-Augmented SE(3)-Flow Matching For Conditional Protein Backbone Generation

arXiv 2405.20313 ↗First posted 30 May 2024cs.LG q-bio.BMcited by 36

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

Abstract (arXiv)

Proteins are essential for almost all biological processes and derive their diverse functions from complex 3D structures, which are in turn determined by their amino acid sequences. In this paper, we exploit the rich biological inductive bias of amino acid sequences and introduce FoldFlow-2, a novel sequence-conditioned SE(3)-equivariant flow matching model for protein structure generation. FoldFlow-2 presents substantial new architectural features over the previous FoldFlow family of models including a protein large language model to encode sequence, a new multi-modal fusion trunk that combines structure and sequence representations, and a geometric transformer based decoder. To increase diversity and novelty of generated samples -- crucial for de-novo drug design -- we train FoldFlow-2 at scale on a new dataset that is an order of magnitude larger than PDB datasets of prior works, containing both known proteins in PDB and high-quality synthetic structures achieved through filtering. We further demonstrate the ability to align FoldFlow-2 to arbitrary rewards, e.g. increasing secondary structures diversity, by introducing a Reinforced Finetuning (ReFT) objective. We empirically observe that FoldFlow-2 outperforms previous state-of-the-art protein structure-based generative models, improving over RFDiffusion in terms of unconditional generation across all metrics including designability, diversity, and novelty across all protein lengths, as well as exhibiting generalization on the task of equilibrium conformation sampling. Finally, we demonstrate that a fine-tuned FoldFlow-2 makes progress on challenging conditional design tasks such as designing scaffolds for the VHH nanobody.

Key facts. Cited by 36 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 28 of its 63 references that are in the map. First posted on arXiv 30 May 2024.

Builds on

28 of 63 references.

Closest ancestors · 11

Same direction, newest first

  1. 2024Generative Flows on Discrete State-Spaces: Enabling Multimodal Flows with Applications to Protein Co-Design7 Feb
  2. 2024AlphaFold Meets Flow Matching for Generating Protein Ensembles7 Feb
  3. 2023SE(3)-Stochastic Flow Matching for Protein Backbone Generation3 Oct
  4. 2023Multisample Flow Matching: Straightening Flows with Minibatch Couplings28 Apr
  5. 2023EigenFold: Generative Protein Structure Prediction with Diffusion Models5 Apr
  6. 2023Flow Matching on General Geometries7 Feb
  7. 2023SE(3) diffusion model with application to protein backbone generation5 Feb
  8. 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
  9. 2022Flow Matching for Generative Modeling6 Oct
  10. 2022Protein structure generation via folding diffusion30 Sep
  11. 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep

Other references · 17

  1. 2022Training language models to follow instructions with human feedbackcited by 15,712
  2. 2016Layer Normalizationcited by 5,579
  3. 2021Finetuned Language Models Are Zero-Shot Learnerscited by 3,747
  4. 2022Training a Helpful and Harmless Assistant with Reinforcement Learning from Human Feedbackcited by 3,634
  5. 2020Learning to summarize from human feedbackcited by 2,562
  6. 2023Code Llama: Open Foundation Models for Codecited by 2,105
  7. 2022Building Normalizing Flows with Stochastic Interpolantscited by 964
  8. 2021Cross-Task Generalization via Natural Language Crowdsourcing Instructionscited by 696
  9. 2023Scaling Relationship on Learning Mathematical Reasoning with Large Language Modelscited by 417
  10. 2023Generalization in diffusion models arises from geometry-adaptive harmonic representationscited by 179
  11. 2019Learning with minibatch Wasserstein : asymptotic and gradient propertiescited by 83
  12. 2021Minibatch optimal transport distances; analysis and applicationscited by 62
5 more
  1. 2023Generating Novel, Designable, and Diverse Protein Structures by Equivariantly Diffusing Oriented Residue Cloudscited by 53
  2. 2024Improved motif-scaffolding with SE(3) flow matchingcited by 43
  3. 2023Protein Discovery with Discrete Walk-Jump Samplingcited by 38
  4. 2024Antigen-Specific Antibody Design via Direct Energy-based Preference Optimizationcited by 30
  5. 2023Str2Str: A Score-based Framework for Zero-shot Protein Conformation Samplingcited by 29

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 7; 2025: 28; 2026: 1.

36 papers.

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  1. 2025Proteina: Scaling Flow-based Protein Structure Generative Modelscited by 63
  2. 2024DPLM-2: A Multimodal Diffusion Protein Language Modelcited by 59
  3. 2025Online Reward-Weighted Fine-Tuning of Flow Matching with Wasserstein Regularizationcited by 40
  4. 2024The Superposition of Diffusion Models Using the Ito Density Estimatorcited by 36
  5. 2025La-Proteina: Atomistic Protein Generation via Partially Latent Flow Matchingcited by 26
  6. 2024ActionFlow: Equivariant, Accurate, and Efficient Policies with Spatially Symmetric Flow Matchingcited by 25
  7. 2024Training Free Guided Flow Matching with Optimal Controlcited by 23
  8. 2025Outsourced diffusion sampling: Efficient posterior inference in latent spaces of generative modelscited by 16
  9. 2025SimpleFold: Folding Proteins is Simpler than You Thinkcited by 16
  10. 2025Reinforcement Learning for Flow-Matching Policiescited by 14
  11. 2025Flow Matching Meets Biology and Life Science: A Surveycited by 14
  12. 2025GARF: Learning Generalizable 3D Reassembly for Real-World Fracturescited by 12
24 more
  1. 2024Exploring Discrete Flow Matching for 3D De Novo Molecule Generationcited by 11
  2. 2025Video Latent Flow Matching: Optimal Polynomial Projections for Video Interpolation and Extrapolationcited by 11
  3. 2025ReQFlow: Rectified Quaternion Flow for Efficient and High-Quality Protein Backbone Generationcited by 10
  4. 2025An All-Atom Generative Model for Designing Protein Complexescited by 9
  5. 2025Symmetrical Flow Matching: Unified Image Generation, Segmentation, and Classification with Score-Based Generative Modelscited by 8
  6. 2025Efficient Regression-Based Training of Normalizing Flows for Boltzmann Generatorscited by 6
  7. 2025ProteinZero: Self-Improving Protein Generation via Online Reinforcement Learningcited by 5
  8. 2025Rao-Blackwell Gradient Estimators for Equivariant Denoising Diffusioncited by 4
  9. 2025RETRO SYNFLOW: Discrete Flow Matching for Accurate and Diverse Single-Step Retrosynthesiscited by 4
  10. 2025Energy-Based Flow Matching for Generating 3D Molecular Structurecited by 4
  11. 2025Fine-tuning Flow Matching Generative Models with Intermediate Feedbackcited by 4
  12. 2024Function-Guided Conditional Generation Using Protein Language Models with Adapterscited by 3
  13. 2025PolyConf: Unlocking Polymer Conformation Generation through Hierarchical Generative Modelscited by 3
  14. 2025VARD: Efficient and Dense Fine-Tuning for Diffusion Models with Value-based RLcited by 3
  15. 2025Guided Sequence-Structure Generative Modeling for Iterative Antibody Optimizationcited by 3
  16. 2025ProteinAE: Protein Diffusion Autoencoders for Structure Encodingcited by 3
  17. 2025Generative Modeling of Full-Atom Protein Conformations using Latent Diffusion on Graph Embeddingscited by 2
  18. 2024Reinforcement Learning for Sequence Design Leveraging Protein Language Modelscited by 1
  19. 2025AffinityFlow: Guided Flows for Antibody Affinity Maturationcited by 1
  20. 2025Flash Invariant Point Attentioncited by 1
  21. 2025Inference-Time Compute Scaling For Flow Matchingcited by 1
  22. 2025EnzyControl: Adding Functional and Substrate-Specific Control for Enzyme Backbone Generationcited by 1
  23. 2025OMTRA: A Multi-Task Generative Model for Structure-Based Drug Designcited by 0
  24. 2026Rigidity-Aware Geometric Pretraining for Protein Design and Conformational Ensemblescited by 0

Similar, not cited

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  1. 2025Learning conformational ensembles of proteins based on backbone geometry
  2. 2026ProHiFlo: Hierarchical Flow Matching with Functional Guidance for De Novo Protein Generation
  3. 2026SE(3)-MeanFlow: Few-Step Protein Backbone Generation on Lie Groups
  4. 2025Protein-SE(3): Benchmarking SE(3)-based Generative Models for Protein Structure Design
  5. 2026Emyx: Fast and efficient all-atom protein generation
  6. 2022Protein Sequence and Structure Co-Design with Equivariant Translation
  7. 2026Generative Modeling in Protein Design: Neural Representations, Conditional Generation, and Evaluation Standards
  8. 2024RNA-FrameFlow: Flow Matching for de novo 3D RNA Backbone Design