mlsanityData to 7 Oct 2026

Protein structure generation via folding diffusion

arXiv 2209.15611 ↗First posted 30 Sep 2022q-bio.BM cs.AIcited by 113

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

Abstract (arXiv)

The ability to computationally generate novel yet physically foldable protein structures could lead to new biological discoveries and new treatments targeting yet incurable diseases. Despite recent advances in protein structure prediction, directly generating diverse, novel protein structures from neural networks remains difficult. In this work, we present a new diffusion-based generative model that designs protein backbone structures via a procedure that mirrors the native folding process. We describe protein backbone structure as a series of consecutive angles capturing the relative orientation of the constituent amino acid residues, and generate new structures by denoising from a random, unfolded state towards a stable folded structure. Not only does this mirror how proteins biologically twist into energetically favorable conformations, the inherent shift and rotational invariance of this representation crucially alleviates the need for complex equivariant networks. We train a denoising diffusion probabilistic model with a simple transformer backbone and demonstrate that our resulting model unconditionally generates highly realistic protein structures with complexity and structural patterns akin to those of naturally-occurring proteins. As a useful resource, we release the first open-source codebase and trained models for protein structure diffusion.

Key facts. Cited by 113 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 22 of its 88 references that are in the map. First posted on arXiv 30 Sep 2022.

Builds on

22 of 88 references.

Closest ancestors · 3

Same direction, newest first

  1. 2022Diffusion probabilistic modeling of protein backbones in 3D for the motif-scaffolding problem8 Jun
  2. 2022Protein Structure and Sequence Generation with Equivariant Denoising Diffusion Probabilistic Models26 May
  3. 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar

Other references · 19

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  3. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  4. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
  5. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  6. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  7. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  8. 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,322
  9. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  10. 2016Gaussian Error Linear Units (GELUs)cited by 3,431
  11. 2015Fast R-CNNcited by 2,930
  12. 2018UMAP: Uniform Manifold Approximation and Projection for Dimension Reductioncited by 2,841
7 more
  1. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,170
  2. 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
  3. 2018Self-Attention with Relative Position Representationscited by 1,112
  4. 2022GPT-NeoX-20B: An Open-Source Autoregressive Language Modelcited by 711
  5. 2022Torsional Diffusion for Molecular Conformer Generationcited by 262
  6. 2021Efficient Large Scale Language Modeling with Mixtures of Expertscited by 175
  7. 2021CRASH: Raw Audio Score-based Generative Modeling for Controllable High-resolution Drum Sound Synthesiscited by 37

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 4; 2023: 39; 2024: 38; 2025: 19; 2026: 13.

113 papers.

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  1. 2022eDiff-I: Text-to-Image Diffusion Models with an Ensemble of Expert Denoiserscited by 921
  2. 2023SE(3) diffusion model with application to protein backbone generationcited by 214
  3. 2022SSD-LM: Semi-autoregressive Simplex-based Diffusion Language Model for Text Generation and Modular Controlcited by 191
  4. 2023SE(3)-Stochastic Flow Matching for Protein Backbone Generationcited by 147
  5. 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generationcited by 96
  6. 2024Diffusion Language Models Are Versatile Protein Learnerscited by 93
  7. 2023Score-based Diffusion Models in Function Spacecited by 80
  8. 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
  9. 2023Two for One: Diffusion Models and Force Fields for Coarse-Grained Molecular Dynamicscited by 72
  10. 2023EigenFold: Generative Protein Structure Prediction with Diffusion Modelscited by 63
  11. 2024ProtAgents: Protein discovery via large language model multi-agent collaborations combining physics and machine learningcited by 63
  12. 2023A Text-guided Protein Design Frameworkcited by 61
38 more
  1. 2023Diffusion Models for Constrained Domainscited by 60
  2. 2024DPLM-2: A Multimodal Diffusion Protein Language Modelcited by 59
  3. 2024On conditional diffusion models for PDE simulationscited by 56
  4. 2023Generating Novel, Designable, and Diverse Protein Structures by Equivariantly Diffusing Oriented Residue Cloudscited by 53
  5. 2023Graph Denoising Diffusion for Inverse Protein Foldingcited by 44
  6. 2024Protein Conformation Generation via Force-Guided SE(3) Diffusion Modelscited by 44
  7. 2022Fast Graph Generation via Spectral Diffusioncited by 36
  8. 2024Sequence-Augmented SE(3)-Flow Matching For Conditional Protein Backbone Generationcited by 36
  9. 2023AbDiffuser: Full-Atom Generation of in vitro Functioning Antibodiescited by 35
  10. 2023A Survey on Graph Diffusion Models: Generative AI in Science for Molecule, Protein and Materialcited by 34
  11. 2024Full-Atom Peptide Design based on Multi-modal Flow Matchingcited by 34
  12. 2024Out of Many, One: Designing and Scaffolding Proteins at the Scale of the Structural Universe with Genie 2cited by 33
  13. 2023Str2Str: A Score-based Framework for Zero-shot Protein Conformation Samplingcited by 29
  14. 2024A Survey of Generative AI for de novo Drug Design: New Frontiers in Molecule and Protein Generationcited by 29
  15. 2024Faster Diffusion Sampling with Randomized Midpoints: Sequential and Parallelcited by 29
  16. 2023A Latent Diffusion Model for Protein Structure Generationcited by 28
  17. 2023Learning Joint 2D & 3D Diffusion Models for Complete Molecule Generationcited by 27
  18. 2024PPFlow: Target-aware Peptide Design with Torsional Flow Matchingcited by 26
  19. 2023DiffPack: A Torsional Diffusion Model for Autoregressive Protein Side-Chain Packingcited by 24
  20. 2024Bridging Model-Based Optimization and Generative Modeling via Conservative Fine-Tuning of Diffusion Modelscited by 24
  21. 2025Learning Distributions of Complex Fluid Simulations with Diffusion Graph Networkscited by 24
  22. 2024ProteinBench: A Holistic Evaluation of Protein Foundation Modelscited by 23
  23. 2024FoldToken: Learning Protein Language via Vector Quantization and Beyondcited by 21
  24. 2025FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modelingcited by 19
  25. 2022Protein Language Models and Structure Prediction: Connection and Progressioncited by 17
  26. 2023Improved Order Analysis and Design of Exponential Integrator for Diffusion Models Samplingcited by 16
  27. 2023Diffusion Models in Bioinformatics: A New Wave of Deep Learning Revolution in Actioncited by 15
  28. 2023A Systematic Study of Joint Representation Learning on Protein Sequences and Structurescited by 15
  29. 2023AbODE: Ab Initio Antibody Design using Conjoined ODEscited by 15
  30. 2024Detecting Out-Of-Distribution Earth Observation Images with Diffusion Modelscited by 14
  31. 2023Pre-Training Protein Encoder via Siamese Sequence-Structure Diffusion Trajectory Predictioncited by 13
  32. 2024Solving Inverse Problems in Protein Space Using Diffusion-Based Priorscited by 13
  33. 2024Diffusion on language model encodings for protein sequence generationcited by 11
  34. 2023DiffSDS: A language diffusion model for protein backbone inpainting under geometric conditions and constraintscited by 10
  35. 2023Data-Efficient Protein 3D Geometric Pretraining via Refinement of Diffused Protein Structure Decoycited by 10
  36. 2023DiAMoNDBack: Diffusion-denoising Autoregressive Model for Non-Deterministic Backmapping of Cα Protein Tracescited by 10
  37. 2023A Multi-Modal Contrastive Diffusion Model for Therapeutic Peptide Generationcited by 10
  38. 2024Scalable Normalizing Flows Enable Boltzmann Generators for Macromoleculescited by 10

50 most cited of 113 All 113 (JSON)

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  1. 2024Mask prior-guided denoising diffusion improves inverse protein folding
  2. 2025Torsion-Space Diffusion for Protein Backbone Generation with Geometric Refinement
  3. 2025From thermodynamics to protein design: Diffusion models for biomolecule generation towards autonomous protein engineering
  4. 2026Generative Modeling in Protein Design: Neural Representations, Conditional Generation, and Evaluation Standards
  5. 2026SaDiT: Efficient Protein Backbone Design via Latent Structural Tokenization and Diffusion Transformers
  6. 2025The Dance of Atoms-De Novo Protein Design with Diffusion Model
  7. 2024AlphaFolding: 4D Diffusion for Dynamic Protein Structure Prediction with Reference and Motion Guidance
  8. 2025ProteinAE: Protein Diffusion Autoencoders for Structure Encoding