mlsanityData to 7 Oct 2026

Protein Design with Guided Discrete Diffusion

arXiv 2305.20009 ↗First posted 31 May 2023cs.LG q-bio.BMcited by 154

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

Abstract (arXiv)

A popular approach to protein design is to combine a generative model with a discriminative model for conditional sampling. The generative model samples plausible sequences while the discriminative model guides a search for sequences with high fitness. Given its broad success in conditional sampling, classifier-guided diffusion modeling is a promising foundation for protein design, leading many to develop guided diffusion models for structure with inverse folding to recover sequences. In this work, we propose diffusioN Optimized Sampling (NOS), a guidance method for discrete diffusion models that follows gradients in the hidden states of the denoising network. NOS makes it possible to perform design directly in sequence space, circumventing significant limitations of structure-based methods, including scarce data and challenging inverse design. Moreover, we use NOS to generalize LaMBO, a Bayesian optimization procedure for sequence design that facilitates multiple objectives and edit-based constraints. The resulting method, LaMBO-2, enables discrete diffusions and stronger performance with limited edits through a novel application of saliency maps. We apply LaMBO-2 to a real-world protein design task, optimizing antibodies for higher expression yield and binding affinity to several therapeutic targets under locality and developability constraints, attaining a 99% expression rate and 40% binding rate in exploratory in vitro experiments.

Key facts. Cited by 154 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 48 of its 88 references that are in the map. First posted on arXiv 31 May 2023.

Builds on

48 of 88 references.

Closest ancestors · 3

Same direction, newest first

  1. 2022DiGress: Discrete Denoising diffusion for graph generation29 Sep
  2. 2022Diffusion probabilistic modeling of protein backbones in 3D for the motif-scaffolding problem8 Jun
  3. 2022Protein Structure and Sequence Generation with Equivariant Denoising Diffusion Probabilistic Models26 May

Other references · 45

  1. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  2. 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
  3. 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
  4. 2022Classifier-Free Diffusion Guidancecited by 5,717
  5. 2015Rethinking the Inception Architecture for Computer Visioncited by 5,451
  6. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  7. 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,611
  8. 2013Deep Inside Convolutional Networks: Visualising Image Classification Models and Saliency Mapscited by 2,348
  9. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
  10. 2019Generating Long Sequences with Sparse Transformerscited by 1,523
  11. 2022RePaint: Inpainting using Denoising Diffusion Probabilistic Modelscited by 1,419
  12. 2022Diffusion-LM Improves Controllable Text Generationcited by 1,006
33 more
  1. 2019Plug and Play Language Models: A Simple Approach to Controlled Text Generationcited by 793
  2. 2016Automatic chemical design using a data-driven continuous representation of moleculescited by 762
  3. 2023Muse: Text-To-Image Generation via Masked Generative Transformerscited by 640
  4. 2021Argmax Flows and Multinomial Diffusion: Learning Categorical Distributionscited by 566
  5. 2022Improving Diffusion Models for Inverse Problems using Manifold Constraintscited by 501
  6. 2020Bayesian Deep Learning and a Probabilistic Perspective of Generalizationcited by 480
  7. 2018Reinforcement Learning and Control as Probabilistic Inference: Tutorial and Reviewcited by 466
  8. 2022On the Parameterization and Initialization of Diagonal State Space Modelscited by 418
  9. 2023Resurrecting Recurrent Neural Networks for Long Sequencescited by 397
  10. 2023Hyena Hierarchy: Towards Larger Convolutional Language Modelscited by 388
  11. 2021Flow Network based Generative Models for Non-Iterative Diverse Candidate Generationcited by 384
  12. 2021FUDGE: Controlled Text Generation With Future Discriminatorscited by 374
  13. 2022Efficient Training of Language Models to Fill in the Middlecited by 248
  14. 2022Diffusion models as plug-and-play priorscited by 230
  15. 2022Continuous diffusion for categorical datacited by 202
  16. 2020Differentiable Expected Hypervolume Improvement for Parallel Multi-Objective Bayesian Optimizationcited by 176
  17. 2022Self-conditioned Embedding Diffusion for Text Generationcited by 114
  18. 2021Step-unrolled Denoising Autoencoders for Text Generationcited by 102
  19. 2022Multi-Objective GFlowNetscited by 100
  20. 2022Accelerating Bayesian Optimization for Biological Sequence Design with Denoising Autoencoderscited by 99
  21. 2023Towards Understanding and Improving GFlowNet Trainingcited by 74
  22. 2021Generalization in NLI: Ways (Not) To Go Beyond Simple Heuristicscited by 67
  23. 2021"Will You Find These Shortcuts?" A Protocol for Evaluating the Faithfulness of Input Salience Methods for Text Classificationcited by 66
  24. 2020AdaLead: A simple and robust adaptive greedy search algorithm for sequence designcited by 63
  25. 2017The reparameterization trick for acquisition functionscited by 61
  26. 2023A Text-guided Protein Design Frameworkcited by 61
  27. 2021Do Input Gradients Highlight Discriminative Features?cited by 52
  28. 2022DiffusER: Discrete Diffusion via Edit-based Reconstructioncited by 41
  29. 2023Where to Diffuse, How to Diffuse, and How to Get Back: Automated Learning for Multivariate Diffusionscited by 27
  30. 2022Efficiently Training Low-Curvature Neural Networkscited by 19
  31. 2022Plug & Play Directed Evolution of Proteins with Gradient-based Discrete MCMCcited by 17
  32. 2021Benchmarking deep generative models for diverse antibody sequence designcited by 9
  33. 2023Extrapolative Controlled Sequence Generation via Iterative Refinementcited by 7

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 6; 2024: 60; 2025: 54; 2026: 34.

154 papers.

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  1. 2024Simplified and Generalized Masked Diffusion for Discrete Datacited by 606
  2. 2024Generative Flows on Discrete State-Spaces: Enabling Multimodal Flows with Applications to Protein Co-Designcited by 294
  3. 2025A General Framework for Inference-time Scaling and Steering of Diffusion Modelscited by 201
  4. 2024Simple Guidance Mechanisms for Discrete Diffusion Modelscited by 148
  5. 2024Fine-Tuning of Continuous-Time Diffusion Models as Entropy-Regularized Controlcited by 136
  6. 2024Derivative-Free Guidance in Continuous and Discrete Diffusion Models with Soft Value-Based Decodingcited by 127
  7. 2024Unlocking Guidance for Discrete State-Space Diffusion and Flow Modelscited by 124
  8. 2024Fine-Tuned Language Models Generate Stable Inorganic Materials as Textcited by 92
  9. 2025Jointly Reinforcing Diversity and Quality in Language Model Generationscited by 79
  10. 2024An Overview of Diffusion Models: Applications, Guided Generation, Statistical Rates and Optimizationcited by 72
  11. 2024Position: Bayesian Deep Learning is Needed in the Age of Large-Scale AIcited by 60
  12. 2024Gradient Guidance for Diffusion Models: An Optimization Perspectivecited by 59
38 more
  1. 2024Unveil Conditional Diffusion Models with Classifier-free Guidance: A Sharp Statistical Theorycited by 58
  2. 2024Discrete Copula Diffusioncited by 53
  3. 2024Feedback Efficient Online Fine-Tuning of Diffusion Modelscited by 52
  4. 2024How Discrete and Continuous Diffusion Meet: Comprehensive Analysis of Discrete Diffusion Models via a Stochastic Integral Frameworkcited by 48
  5. 2025GenMol: A Drug Discovery Generalist with Discrete Diffusioncited by 47
  6. 2025Fast Solvers for Discrete Diffusion Models: Theory and Applications of High-Order Algorithmscited by 47
  7. 2023Protein Discovery with Discrete Walk-Jump Samplingcited by 38
  8. 2025Fine-Tuning Discrete Diffusion Models with Policy Gradient Methodscited by 36
  9. 2024PepTune: De Novo Generation of Therapeutic Peptides with Multi-Objective-Guided Discrete Diffusioncited by 35
  10. 2024Full-Atom Peptide Design based on Multi-modal Flow Matchingcited by 34
  11. 2024Diffusion Models as Constrained Samplers for Optimization with Unknown Constraintscited by 33
  12. 2025LEAPS: A discrete neural sampler via locally equivariant networkscited by 30
  13. 2025Roll the dice & look before you leap: Going beyond the creative limits of next-token predictioncited by 28
  14. 2024Provable Acceleration for Diffusion Models under Minimal Assumptionscited by 27
  15. 2024Conformal Validity Guarantees Exist for Any Data Distribution (and How to Find Them)cited by 26
  16. 2024Convergence of Score-Based Discrete Diffusion Models: A Discrete-Time Analysiscited by 24
  17. 2023MOFDiff: Coarse-grained Diffusion for Metal-Organic Framework Designcited by 23
  18. 2023Symmetry-Informed Geometric Representation for Molecules, Proteins, and Crystalline Materialscited by 22
  19. 2024A survey and benchmark of high-dimensional Bayesian optimization of discrete sequencescited by 22
  20. 2023Improving Protein Optimization with Smoothed Fitness Landscapescited by 20
  21. 2023Fast Sampling via Discrete Non-Markov Diffusion Models with Predetermined Transition Timecited by 20
  22. 2025Absorb and Converge: Provable Convergence Guarantee for Absorbing Discrete Diffusion Modelscited by 20
  23. 2025MDNS: Masked Diffusion Neural Sampler via Stochastic Optimal Controlcited by 20
  24. 2025Latent Bayesian Optimization via Autoregressive Normalizing Flowscited by 19
  25. 2024ParetoFlow: Guided Flows in Multi-Objective Optimizationcited by 17
  26. 2025CtrlDiff: Boosting Large Diffusion Language Models with Dynamic Block Prediction and Controllable Generationcited by 17
  27. 2024Guided Trajectory Generation with Diffusion Models for Offline Model-based Optimizationcited by 15
  28. 2024PROUD: PaRetO-gUided Diffusion Model for Multi-objective Generationcited by 15
  29. 2024Concept Bottleneck Language Models For protein designcited by 15
  30. 2025Offline Model-Based Optimization: Comprehensive Reviewcited by 14
  31. 2025Why Masking Diffusion Works: Condition on the Jump Schedule for Improved Discrete Diffusioncited by 14
  32. 2024Improved Off-policy Reinforcement Learning in Biological Sequence Designcited by 13
  33. 2025TR2-D2: Tree Search Guided Trajectory-Aware Fine-Tuning for Discrete Diffusioncited by 13
  34. 2026The Diffusion Duality, Chapter II: Psi-Samplerscited by 12
  35. 2024Context-Guided Diffusion for Out-of-Distribution Molecular and Protein Designcited by 11
  36. 2025Improving Classifier-Free Guidance in Masked Diffusion: Low-Dim Theoretical Insights with High-Dim Impactcited by 11
  37. 2025Self-Speculative Masked Diffusionscited by 11
  38. 2024Bayesian Optimization of Antibodies Informed by a Generative Model of Evolving Sequencescited by 10

50 most cited of 154 All 154 (JSON)

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  1. 2023A framework for conditional diffusion modelling with applications in motif scaffolding for protein design
  2. 2023Generating Novel, Designable, and Diverse Protein Structures by Equivariantly Diffusing Oriented Residue Clouds
  3. 2024Fine-Tuning Discrete Diffusion Models via Reward Optimization with Applications to DNA and Protein Design
  4. 2024On diffusion posterior sampling via sequential Monte Carlo for zero-shot scaffolding of protein motifs
  5. 2024Mask prior-guided denoising diffusion improves inverse protein folding
  6. 2025The Dance of Atoms-De Novo Protein Design with Diffusion Model
  7. 2025From thermodynamics to protein design: Diffusion models for biomolecule generation towards autonomous protein engineering
  8. 2023Graph Denoising Diffusion for Inverse Protein Folding