mlsanityData to 7 Oct 2026

MetaState: Persistent Working Memory Enhances Reasoning in Discrete Diffusion Language Models

arXiv 2603.01331 ↗First posted 2 Mar 2026cs.CL cs.AI cs.LGcited by 3

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

also in 1 more
Abstract (arXiv)

Discrete diffusion language models (dLLMs) generate text by iteratively denoising a masked sequence. However, standard dLLMs condition each denoising step solely on the current hard-masked sequence, while intermediate continuous representations are discarded after sampling and remasking. We term this bottleneck the Information Island issue: continuous information remains isolated within individual denoising steps and fails to propagate across the trajectory. This bottleneck is especially harmful for reasoning, which requires intermediate reasoning state to be preserved and updated across many denoising steps. To address this limitation, we introduce MetaState, a lightweight recurrent augmentation that equips a frozen dLLM backbone with persistent, fixed-size working memory. MetaState comprises three modules with a shared time conditioner: a cross-attention Mixer that reads backbone activations into memory slots, a GRU-style Updater that integrates information across steps, and a cross-attention Injector that writes the updated memory back into the backbone. We train these modules with a dedicated K-step unrolling pipeline to learn multi-step dynamics. MetaState adds only ~0.6% trainable parameters while keeping the backbone frozen, and consistently improves reasoning performance over frozen baselines on mathematical reasoning and code generation benchmarks, with an average gain of 4.5 percentage points across all evaluations.

Key facts. Cited by 3 papers 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 39 of its 45 references that are in the map. First posted on arXiv 2 Mar 2026.

Builds on

39 of 45 references.

Closest ancestors · 2

Same direction, newest first

  1. 2026Stop-Think-AutoRegress: Language Modeling with Latent Diffusion Planning24 Feb
  2. 2025Reinforcing the Diffusion Chain of Lateral Thought with Diffusion Language Models15 May

Other references · 37

  1. 2017Attention Is All You Needcited by 59,932
  2. 2020Language Models are Few-Shot Learnerscited by 32,199
  3. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  4. 2021Evaluating Large Language Models Trained on Codecited by 8,053
  5. 2021Program Synthesis with Large Language Modelscited by 3,509
  6. 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
  7. 2019Root Mean Square Layer Normalizationcited by 1,425
  8. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
  9. 2019ZeRO: Memory Optimizations Toward Training Trillion Parameter Modelscited by 1,278
  10. 2025Large Language Diffusion Modelscited by 872
  11. 2024Simple and Effective Masked Diffusion Language Modelscited by 800
  12. 2024Training Large Language Models to Reason in a Continuous Latent Spacecited by 763
25 more
  1. 2023Discrete Diffusion Modeling by Estimating the Ratios of the Data Distributioncited by 712
  2. 2024Diffusion Forcing: Next-token Prediction Meets Full-Sequence Diffusioncited by 634
  3. 2024Simplified and Generalized Masked Diffusion for Discrete Datacited by 606
  4. 2025Dream 7B: Diffusion Large Language Modelscited by 515
  5. 2025Fast-dLLM: Training-free Acceleration of Diffusion LLM by Enabling KV Cache and Parallel Decodingcited by 404
  6. 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Modelscited by 385
  7. 2024Your Absorbing Discrete Diffusion Secretly Models the Conditional Distributions of Clean Datacited by 371
  8. 2025LLaDA 1.5: Variance-Reduced Preference Optimization for Large Language Diffusion Modelscited by 273
  9. 2024Scaling Diffusion Language Models via Adaptation from Autoregressive Modelscited by 268
  10. 2017Gate-Variants of Gated Recurrent Unit (GRU) Neural Networkscited by 239
  11. 2025CODI: Compressing Chain-of-Thought into Continuous Space via Self-Distillationcited by 216
  12. 2022Scalable Adaptive Computation for Iterative Generationcited by 190
  13. 2025dLLM-Cache: Accelerating Diffusion Large Language Models with Adaptive Cachingcited by 168
  14. 2025LLaDA2.0: Scaling Up Diffusion Language Models to 100Bcited by 154
  15. 2025SDAR: A Synergistic Diffusion-AutoRegression Paradigm for Scalable Sequence Generationcited by 118
  16. 2025Soft Thinking: Unlocking the Reasoning Potential of LLMs in Continuous Concept Spacecited by 109
  17. 2025A Survey on Diffusion Language Modelscited by 75
  18. 2025LLaDA-MoE: A Sparse MoE Diffusion Language Modelcited by 54
  19. 2025Time Is a Feature: Exploiting Temporal Dynamics in Diffusion Language Modelscited by 33
  20. 2025Continuously Augmented Discrete Diffusion model for Categorical Generative Modelingcited by 32
  21. 2025CANDI: Hybrid Discrete-Continuous Diffusion Modelscited by 31
  22. 2025LaDiR: Latent Diffusion Enhances LLMs for Text Reasoningcited by 25
  23. 2025SwiReasoning: Switch-Thinking in Latent and Explicit for Pareto-Superior Reasoning LLMscited by 20
  24. 2025Latent Refinement Decoding: Enhancing Diffusion-Based Language Models by Refining Belief Statescited by 9
  25. 2026Residual Context Diffusion Language Modelscited by 9

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 3.

3 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026Think First, Diffuse Fast: Improving Diffusion Language Model Reasoning via Autoregressive Plan Conditioning
  2. 2026CAI-DLLM: Convergence Aware Inference for Diffusion Language Models
  3. 2025EDIT: Early Diffusion Inference Termination for dLLMs Based on Dynamics of Training Gradients
  4. 2026Hierarchical Continuous Diffusion Language Models
  5. 2025Advancing Reasoning in Diffusion Language Models with Denoising Process Rewards
  6. 2025Reasoning in Diffusion Large Language Models is Concentrated in Dynamic Confusion Zones
  7. 2026DreamingGoose: Staged Distillation from Autoregressive Transformers to Bidirectional Recurrent Diffusion Language Models
  8. 2026Continuous Interaction Diffusion: A Diffusion-Native Runtime for Asynchronous Tool-Augmented Reasoning