mlsanityData to 7 Oct 2026

Learned Relay Representations for Forward-Thinking Discrete Diffusion Models

arXiv 2605.22967 ↗First posted 21 May 2026cs.LGcited by 1

On the map: LLM reasoning → Diffusion reasoning and test-time scaling

also in 1 more
Abstract (arXiv)

When Masked Diffusion Models (MDMs) generate sequences through iterative refinement, the rich internal computation over masked positions is discarded, forcing every subsequent refinement step to recompute the valuable internal information stored as model representations. To avoid a hard reset between denoising rounds, we propose Learned Relay Representations (Relay), a method that allows MDMs to be forward-thinking when denoising by explicitly learning how to propagate latent information for the benefit of future denoising steps. Relay introduces a differentiable per-token channel that passes information between forward passes and is trained via truncated backpropagation through time (BPTT). We show that this framework can be scaled to state-of-the-art Diffusion Language Models (DLMs), and is seamlessly compatible with techniques like block diffusion and KV caching. We first provide a thorough justification of the design choices in Relay on a challenging Sudoku-based planning task. We then scale Relay to Fast-dLLM v2, a state-of-the-art DLM, outperforming standard supervised finetuning on coding tasks while reducing inference latency by up to 32%. Our empirical results demonstrate that state-of-the-art DLMs can be explicitly trained to relay latent information forward across decoding steps, advancing the performance-latency Pareto frontier. We provide code for all our experiments.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Diffusion reasoning and test-time scaling, one of 17 directions in LLM reasoning. Builds on 35 of its 45 references that are in the map. First posted on arXiv 21 May 2026.

Builds on

35 of 45 references.

Closest ancestors · 2

Same direction, newest first

  1. 2026MetaState: Persistent Working Memory Enhances Reasoning in Discrete Diffusion Language Models2 Mar
  2. 2026Reasoning with Latent Tokens in Diffusion Language Models3 Feb

Other references · 33

  1. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  2. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  3. 2016Categorical Reparameterization with Gumbel-Softmaxcited by 2,708
  4. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
  5. 2023Is Your Code Generated by ChatGPT Really Correct? Rigorous Evaluation of Large Language Models for Code Generationcited by 1,332
  6. 2025Large Language Diffusion Modelscited by 872
  7. 2024Simple and Effective Masked Diffusion Language Modelscited by 800
  8. 2024Simplified and Generalized Masked Diffusion for Discrete Datacited by 606
  9. 2025Dream 7B: Diffusion Large Language Modelscited by 515
  10. 2022A Continuous Time Framework for Discrete Denoising Modelscited by 437
  11. 2025Fast-dLLM: Training-free Acceleration of Diffusion LLM by Enabling KV Cache and Parallel Decodingcited by 404
  12. 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Modelscited by 385
21 more
  1. 2022Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioningcited by 362
  2. 2024Chain of Thought Empowers Transformers to Solve Inherently Serial Problemscited by 256
  3. 2025Reasoning with Latent Thoughts: On the Power of Looped Transformerscited by 223
  4. 2025Train for the Worst, Plan for the Best: Understanding Token Ordering in Masked Diffusionscited by 208
  5. 2024Masked Diffusion Models are Secretly Time-Agnostic Masked Models and Exploit Inaccurate Categorical Samplingcited by 204
  6. 2025Hierarchical Reasoning Modelcited by 167
  7. 2025Llama-Nemotron: Efficient Reasoning Modelscited by 151
  8. 2025Accelerated Sampling from Masked Diffusion Models via Entropy Bounded Unmaskingcited by 128
  9. 2025Fast-dLLM v2: Efficient Block-Diffusion LLMcited by 128
  10. 2024Fine-Tuning Discrete Diffusion Models via Reward Optimization with Applications to DNA and Protein Designcited by 72
  11. 2024Can Looped Transformers Learn to Implement Multi-step Gradient Descent for In-context Learning?cited by 60
  12. 2024Distillation of Discrete Diffusion through Dimensional Correlationscited by 46
  13. 2025Continuously Augmented Discrete Diffusion model for Categorical Generative Modelingcited by 32
  14. 2025Latent Thought Models with Variational Bayes Inference-Time Computationcited by 25
  15. 2025Soft-Masked Diffusion Language Modelscited by 15
  16. 2025Variational Autoencoding Discrete Diffusion with Enhanced Dimensional Correlations Modelingcited by 14
  17. 2025Planner Aware Path Learning in Diffusion Language Models Trainingcited by 14
  18. 2026Residual Context Diffusion Language Modelscited by 9
  19. 2026Stop Training for the Worst: Progressive Unmasking Accelerates Masked Diffusion Trainingcited by 8
  20. 2025Loopholing Discrete Diffusion: Deterministic Bypass of the Sampling Wallcited by 6
  21. 2025XLM: A Python package for non-autoregressive language modelscited by 4

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Citing papers per year: 2026: 1.

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  1. 2025Encoder-Decoder Diffusion Language Models for Efficient Training and Inference
  2. 2026Not All Denoising Steps Are Equal: Model Scheduling for Faster Masked Diffusion Language Models
  3. 2026Diffusion as a Training Curriculum for Timestep-Free Iterative Reasoning
  4. 2026Hierarchical Continuous Diffusion Language Models
  5. 2026Let It Go or Learn to Self-Correct: Continuous Diffusion for Constrained Discrete Tasks
  6. 2026Dynamic Chunking for Diffusion Language Models
  7. 2025Fewer Denoising Steps or Cheaper Per-Step Inference: Towards Compute-Optimal Diffusion Model Deployment
  8. 2026Learning to Re-Draft: A Variational Stackelberg Game for Discrete Diffusion