Rethinking the Roles of Diffusion and Decoding: Predictive-State Flows for Parallel Language Generation
cs.CL, cs.LG
Submitted: 2026-10-09
Updated: 2026-10-09
Project page: http://skylion007.github.io/OpenWebTextCorpus
License: http://creativecommons.org/licenses/by/4.0/
The gist: 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.
Abstract
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.
Sources
- Large Concept Models: Language Modeling in a Sentence Representation Space
- Medusa: Simple LLM Inference Acceleration Framework with Multiple Decoding Heads
- Analog Bits: Generating Discrete Data using Diffusion Models with Self-Conditioning
- Continuous diffusion for categorical data
- Classifier-Free Diffusion Guidance
- The Curious Case of Neural Text Degeneration
- ELF: Embedded Language Flows
- Flow Matching for Generative Modeling
- Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow
- Discrete Diffusion Modeling by Estimating the Ratios of the Data Distribution
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