mlsanityData to 14 Oct 2026

Steering Generative Models with Experimental Data for Protein Fitness Optimization

arXiv 2505.15093 ↗First posted 21 May 2025q-bio.BM cs.LGcited by 7

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

Abstract (arXiv)

Protein fitness optimization involves finding a protein sequence that maximizes desired quantitative properties in a combinatorially large design space of possible sequences. Recent advances in steering protein generative models (e.g., diffusion models and language models) with labeled data offer a promising approach. However, most previous studies have optimized surrogate rewards and/or utilized large amounts of labeled data for steering, making it unclear how well existing methods perform and compare to each other in real-world optimization campaigns where fitness is measured through low-throughput wet-lab assays. In this study, we explore fitness optimization using small amounts (hundreds) of labeled sequence-fitness pairs and comprehensively evaluate strategies such as classifier guidance and posterior sampling for guiding generation from different discrete diffusion models of protein sequences. We also demonstrate how guidance can be integrated into adaptive sequence selection akin to Thompson sampling in Bayesian optimization, showing that plug-and-play guidance strategies offer advantages over alternatives such as reinforcement learning with protein language models. Overall, we provide practical insights into how to effectively steer modern generative models for next-generation protein fitness optimization.

Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 71 of its 135 references that are in the map. First posted on arXiv 21 May 2025.

Builds on

71 of 135 references.

Closest ancestors · 14

Same direction, newest first

  1. 2025Multi-Objective-Guided Discrete Flow Matching for Controllable Biological Sequence Design11 May
  2. 2025Gumbel-Softmax Flow Matching with Straight-Through Guidance for Controllable Biological Sequence Generation21 Mar
  3. 2025Reward-Guided Iterative Refinement in Diffusion Models at Test-Time with Applications to Protein and DNA Design20 Feb
  4. 2024PepTune: De Novo Generation of Therapeutic Peptides with Multi-Objective-Guided Discrete Diffusion23 Dec
  5. 2024Fine-Tuning Discrete Diffusion Models via Reward Optimization with Applications to DNA and Protein Design17 Oct
  6. 2024Steering Masked Discrete Diffusion Models via Discrete Denoising Posterior Prediction10 Oct
  7. 2024Context-Guided Diffusion for Out-of-Distribution Molecular and Protein Design16 Jul
  8. 2024Fisher Flow Matching for Generative Modeling over Discrete Data23 May
  9. 2024Diffusion on language model encodings for protein sequence generation6 Mar
  10. 2024Diffusion Language Models Are Versatile Protein Learners28 Feb
  11. 2024Dirichlet Flow Matching with Applications to DNA Sequence Design8 Feb
  12. 2024Generative Flows on Discrete State-Spaces: Enabling Multimodal Flows with Applications to Protein Co-Design7 Feb
2 more
  1. 2023Practical and Asymptotically Exact Conditional Sampling in Diffusion Models30 Jun
  2. 2023Protein Design with Guided Discrete Diffusion31 May

Other references · 57

  1. 2020Denoising Diffusion Probabilistic Modelscited by 21,076
  2. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
  3. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 8,065
  4. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,761
  5. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,719
  6. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
  7. 2022Diffusion-LM Improves Controllable Text Generationcited by 1,027
  8. 2025Large Language Diffusion Modelscited by 912
  9. 2024Simple and Effective Masked Diffusion Language Modelscited by 848
  10. 2019Plug and Play Language Models: A Simple Approach to Controlled Text Generationcited by 799
  11. 2016Automatic chemical design using a data-driven continuous representation of moleculescited by 765
  12. 2023Discrete Diffusion Modeling by Estimating the Ratios of the Data Distributioncited by 745
38 more
  1. 2018A Tutorial on Bayesian Optimizationcited by 744
  2. 2024Simplified and Generalized Masked Diffusion for Discrete Datacited by 626
  3. 2022A Continuous Time Framework for Discrete Denoising Modelscited by 451
  4. 2015Deep Kernel Learningcited by 445
  5. 2017A Tutorial on Thompson Samplingcited by 433
  6. 2021FUDGE: Controlled Text Generation With Future Discriminatorscited by 376
  7. 2022Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioningcited by 373
  8. 2025A General Framework for Inference-time Scaling and Steering of Diffusion Modelscited by 224
  9. 2023A Variational Perspective on Solving Inverse Problems with Diffusion Modelscited by 222
  10. 2022Continuous diffusion for categorical datacited by 214
  11. 2021Autoregressive Diffusion Modelscited by 210
  12. 2025Remasking Discrete Diffusion Models with Inference-Time Scalingcited by 189
  13. 2022Biological Sequence Design with GFlowNetscited by 174
  14. 2024Improving Diffusion Inverse Problem Solving with Decoupled Noise Annealingcited by 163
  15. 2022ProGen2: Exploring the Boundaries of Protein Language Modelscited by 159
  16. 2024Simple Guidance Mechanisms for Discrete Diffusion Modelscited by 155
  17. 2024Derivative-Free Guidance in Continuous and Discrete Diffusion Models with Soft Value-Based Decodingcited by 136
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  19. 2019Conditioning by adaptive sampling for robust designcited by 111
  20. 2022Accelerating Bayesian Optimization for Biological Sequence Design with Denoising Autoencoderscited by 102
  21. 2024Probabilistic Inference in Language Models via Twisted Sequential Monte Carlocited by 90
  22. 2025Path Planning for Masked Diffusion Model Samplingcited by 80
  23. 2022Local Latent Space Bayesian Optimization over Structured Inputscited by 79
  24. 2024Amortizing intractable inference in diffusion models for vision, language, and controlcited by 72
  25. 2025InverseBench: Benchmarking Plug-and-Play Diffusion Priors for Inverse Problems in Physical Sciencescited by 68
  26. 2020AdaLead: A simple and robust adaptive greedy search algorithm for sequence designcited by 65
  27. 2024Think While You Generate: Discrete Diffusion with Planned Denoisingcited by 63
  28. 2021Protein sequence design with deep generative modelscited by 35
  29. 2018Design by adaptive samplingcited by 32
  30. 2025Debiasing Guidance for Discrete Diffusion with Sequential Monte Carlocited by 31
  31. 2025Trajectory Balance with Asynchrony: Decoupling Exploration and Learning for Fast, Scalable LLM Post-Trainingcited by 29
  32. 2024Diffusion Model for Data-Driven Black-Box Optimizationcited by 24
  33. 2023Improving Protein Optimization with Smoothed Fitness Landscapescited by 21
  34. 2025Latent Bayesian Optimization via Autoregressive Normalizing Flowscited by 19
  35. 2025Split Gibbs Discrete Diffusion Posterior Samplingcited by 18
  36. 2025Outsourced diffusion sampling: Efficient posterior inference in latent spaces of generative modelscited by 17
  37. 2021Adaptive machine learning for protein engineeringcited by 13
  38. 2024Improved Off-policy Reinforcement Learning in Biological Sequence Designcited by 13

50 most cited of 57 All 57 (JSON)

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 2; 2026: 5.

7 papers.

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Close in wording, no citation either way

  1. 2026Repurposing Protein Language Models for Latent Flow-Based Fitness Optimization
  2. 2024Robust Optimization in Protein Fitness Landscapes Using Reinforcement Learning in Latent Space
  3. 2025A Variational Perspective on Generative Protein Fitness Optimization
  4. 2025Steering Protein Language Models
  5. 2026Be Your Own Teacher: Steering Protein Language Models via Unsupervised Reward Optimization
  6. 2024Reinforcement Learning for Sequence Design Leveraging Protein Language Models
  7. 2025ProteinGuide: On-the-fly property guidance for protein sequence generative models
  8. 2024Bridging Model-Based Optimization and Generative Modeling via Conservative Fine-Tuning of Diffusion Models