Rethinking the Roles of Diffusion and Decoding: Predictive-State Flows for Parallel Language Generation
On the map: LLM reasoning → Diffusion reasoning and test-time scaling
also in 1 more
Abstract (arXiv)
In continuous diffusion language models (DLMs), latents generated by the diffusion prior are mapped almost deterministically to tokens, either by a decoder or through a token embedding matrix. Unlike in image generation, where visual details can vary continuously, the diffusion prior must capture fine-grained discrete token choices in continuous space, which can make the joint latent distribution difficult to model. We argue that generative roles should instead be divided: the diffusion prior should generate high-level predictive information, while the decoder should resolve the remaining token-level choices. Based on this view, we introduce Predictive-State Flows (PSF), which partitions a sequence into blocks and associates each block with a predictive state computed solely from the preceding context. A rectified-flow prior generates the sequence of predictive states, after which a block-causal decoder generates all blocks in parallel, autoregressively only within each block. This design reduces diffusion from L token-level states to K << L predictive states and reduces token-level sequential depth to L/K. On unconditional OpenWebText generation, a 197M-parameter model with K=8 achieves a generative perplexity of 22.8 at entropy 5.16 using 0.31 TFLOPs per 1024-token document, versus 24.0 and 7.2 TFLOPs for ELF-B with 32 sampling steps. The corresponding measured operating points yield MAUVE@512 of 0.93 and 0.73, respectively. Controlled comparisons further show that content states, which additionally encode their own blocks, yield 8-16% higher generative perplexity than predictive states, and that replacing sampled predictive-state trajectories with a shared mean lowers MAUVE@512 by 0.11. These results suggest that latent design for continuous DLMs should consider not only how compactly text is represented, but also how generative roles are divided between the prior and the decoder.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in Diffusion reasoning and test-time scaling, one of 17 directions in LLM reasoning. Builds on 30 of its 33 references that are in the map. First posted on arXiv 9 Oct 2026.
Builds on
30 of 33 references.
References · 30
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,599
- 2022Classifier-Free Diffusion Guidancecited by 5,847
- 2022Flow Matching for Generative Modelingcited by 5,702
- 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesiscited by 4,181
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flowcited by 3,700
- 2019The Curious Case of Neural Text Degenerationcited by 2,916
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,719
- 2022Fast Inference from Transformers via Speculative Decodingcited by 1,653
- 2022Diffusion-LM Improves Controllable Text Generationcited by 1,027
- 2025Large Language Diffusion Modelscited by 912
- 2024Simple and Effective Masked Diffusion Language Modelscited by 848
18 more
- 2024Medusa: Simple LLM Inference Acceleration Framework with Multiple Decoding Headscited by 843
- 2023Discrete Diffusion Modeling by Estimating the Ratios of the Data Distributioncited by 745
- 2021MAUVE: Measuring the Gap Between Neural Text and Human Text using Divergence Frontierscited by 470
- 2025Block Diffusion: Interpolating Between Autoregressive and Diffusion Language Modelscited by 409
- 2022Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioningcited by 373
- 2018Blockwise Parallel Decoding for Deep Autoregressive Modelscited by 323
- 2018Plan-And-Write: Towards Better Automatic Storytellingcited by 234
- 2022Continuous diffusion for categorical datacited by 214
- 2022SSD-LM: Semi-autoregressive Simplex-based Diffusion Language Model for Text Generation and Modular Controlcited by 194
- 2023Likelihood-Based Diffusion Language Modelscited by 151
- 2023AR-Diffusion: Auto-Regressive Diffusion Model for Text Generationcited by 118
- 2022Latent Diffusion for Language Generationcited by 115
- 2023Skeleton-of-Thought: Prompting LLMs for Efficient Parallel Generationcited by 105
- 2018Fast Decoding in Sequence Models using Discrete Latent Variablescited by 104
- 2024Large Concept Models: Language Modeling in a Sentence Representation Spacecited by 89
- 2023PLANNER: Generating Diversified Paragraph via Latent Language Diffusion Modelcited by 58
- 2026ELF: Embedded Language Flowscited by 45
- 2025Cosmos: Compressed and Smooth Latent Space for Text Diffusion Modelingcited by 25
Built on by
Not cited yet.
Similar, not cited
Close in wording, no citation either way
- 2026CoDAR: Continuous Diffusion Language Models are More Powerful Than You Think
- 2026x-Prediction Flow: Efficient Continuous Decoding for Masked Diffusion Language Models
- 2025On the Role of Discreteness in Diffusion LLMs
- 2026From Position Risks to Block Survival: Faster Generation for Diffusion Language Models
- 2026AURORA-LM: Autoencoding Unified Representation for Continuous-Latent Diffusion Language Modeling
- 2025Context-Aware Initialization for Reducing Generative Path Length in Diffusion Language Models
- 2026Parallelism and Generation Order in Masked Diffusion Language Models: Limits Today, Potential Tomorrow
- 2026One Token Is Enough: Improving Diffusion Language Models with a Sink Token