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arxiv: 2604.15750 · v1 · submitted 2026-04-17 · 💻 cs.LG · cs.AI

Recognition: unknown

DepCap: Adaptive Block-Wise Parallel Decoding for Efficient Diffusion LM Inference

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Pith reviewed 2026-05-10 08:47 UTC · model grok-4.3

classification 💻 cs.LG cs.AI
keywords diffusion language modelsblock-wise decodingparallel decodingadaptive inferenceinference accelerationtraining-free methodsconflict signalsDLM decoding
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The pith

DepCap adaptively sizes decoding blocks via last-block influence and selects conflict-free tokens for parallel steps to accelerate diffusion LM inference up to 5.63 times.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

Diffusion language models promise parallel decoding but existing block-wise methods use fixed schedules or local signals that constrain the speed-quality balance. DepCap treats the influence of the last decoded block as a cross-step signal to decide how far the next block should reach. It pairs this with token-level conflict signals to pick safe subsets that can be decoded together inside each block. The method requires no training, works as a plug-in for different models, and pairs with existing cache techniques. Experiments across backbones and reasoning or coding tasks report large speed gains with negligible quality loss, supported by an analysis showing that last-block influences add up across tokens.

Core claim

DepCap is a training-free framework that instantiates the cross-step signal as the influence of the last decoded block to adaptively determine how far the next block should extend, while identifying a conflict-free subset of tokens for safe parallel decoding within each block, enabling substantial inference acceleration with negligible quality degradation.

What carries the argument

Adaptive block partitioning based on cumulative last-block influence together with token-level conflict detection to enable safe parallel decoding.

If this is right

  • DepCap achieves up to 5.63× speedup across multiple DLM backbones on reasoning and coding benchmarks with no significant performance degradation.
  • The approach is plug-and-play and works with existing KV-cache strategies for block-wise DLM inference.
  • An information-theoretic analysis shows that the cumulative last-block influence on a candidate block is approximately additive across tokens.
  • The method applies to various diffusion language models without retraining.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The adaptive boundary rule could respond to varying sequence difficulty in real-time generation tasks.
  • DepCap might combine with other acceleration techniques such as quantization for compounded speed gains.
  • Similar last-block influence signals could be tested in non-diffusion sequence models that use block decoding.
  • Longer sequences might show whether the additivity assumption holds or requires periodic resets.

Load-bearing premise

The influence of the last decoded block reliably indicates suitable boundaries for the next block and token-level conflict signals allow parallel decoding without quality loss.

What would settle it

Running the same benchmarks with fixed block sizes instead of adaptive last-block influence and observing that the adaptive version produces measurably lower quality at the same or higher speeds.

Figures

Figures reproduced from arXiv: 2604.15750 by Cheng Yan, Jiazheng Liu, Wuyang Zhang, Xiang Xia, Yanyong Zhang.

Figure 1
Figure 1. Figure 1: The framework of DepCap. (a) Traditional block-wise DLM inference uses a fixed block [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Cache-compatible results under No Cache, [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
read the original abstract

Diffusion language models (DLMs) have emerged as a promising alternative to autoregressive language generation due to their potential for parallel decoding and global refinement of the entire sequence. To unlock this potential, DLM inference must carefully balance generation quality and decoding speed. Recent block-wise DLM decoding methods improve this trade-off by performing diffusion-based decoding sequentially in blocks. However, existing methods typically rely on fixed block schedules or current-step local signals to determine block boundaries, and use conservative confidence-based parallel decoding to avoid conflicts, limiting the quality-speed trade-off. In this paper, we argue that block-wise DLM inference requires more suitable signals for its two core decisions: cross-step signals for determining block boundaries, and token-level conflict signals for parallel decoding. Based on this view, we propose DepCap, a training-free framework for efficient block-wise DLM inference. Specifically, DepCap instantiates the cross-step signal as the influence of the last decoded block and uses it to adaptively determine how far the next block should extend, while identifying a conflict-free subset of tokens for safe parallel decoding within each block, enabling substantial inference acceleration with negligible quality degradation. DepCap is a plug-and-play method applicable to various DLMs, and compatible with existing KV-cache strategies for block-wise DLM. An information-theoretic analysis further suggests that the cumulative last-block influence on a candidate block is approximately additive across tokens, supporting the proposed block-partitioning criterion. Experimental results show that DepCap achieves favorable speed-quality trade-offs across multiple DLM backbones and reasoning and coding benchmarks, with up to 5.63$\times$ speedup without significant performance degradation.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained and training-free

full rationale

The paper's core method (DepCap) is explicitly training-free and plug-and-play. Block boundaries are set using the influence of the last decoded block as a cross-step signal, and parallel decoding uses token-level conflict signals; neither reduces by construction to a fitted parameter or self-referential definition. The supporting information-theoretic analysis of additivity is presented as an independent justification for the partitioning criterion rather than a tautology. Empirical speedups (up to 5.63×) are reported on external benchmarks without any equations that rename a fit as a prediction. No self-citation chains, uniqueness theorems, or ansatzes are load-bearing in the provided derivation. This is the expected outcome for a heuristic inference-acceleration framework validated externally.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the domain assumption that last-block influence provides a suitable adaptive partitioning criterion and that conflict signals permit safe parallel decoding. No free parameters are introduced because the method is training-free. No new entities are postulated.

axioms (2)
  • domain assumption Cross-step signals from the last decoded block can be used to adaptively determine block boundaries.
    This is the core decision rule for block partitioning in DepCap.
  • domain assumption Token-level conflict signals allow identification of a safe subset for parallel decoding within each block.
    This underpins the parallel decoding acceleration without quality loss.

pith-pipeline@v0.9.0 · 5606 in / 1299 out tokens · 69363 ms · 2026-05-10T08:47:00.404303+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

40 extracted references · 18 canonical work pages · 7 internal anchors

  1. [1]

    Chiu, Zhihan Yang, Zhixuan Qi, Jiaqi Han, Subham Sekhar Sahoo, and V olodymyr Kuleshov

    Marianne Arriola, Aaron Gokaslan, Justin T. Chiu, Zhihan Yang, Zhixuan Qi, Jiaqi Han, Subham Sekhar Sahoo, and V olodymyr Kuleshov. Block diffusion: Interpolating between au- toregressive and diffusion language models. InProceedings of the 13th International Conference on Learning Representations, Singapore, Singapore, 2025

  2. [2]

    Johnson, Jonathan Ho, Daniel Tarlow, and Rianne van den Berg

    Jacob Austin, Daniel D. Johnson, Jonathan Ho, Daniel Tarlow, and Rianne van den Berg. Struc- tured denoising diffusion models in discrete state-spaces. InAdvances in Neural Information Processing Systems 34, pages 17981–17993, Virtual Event, 2021

  3. [3]

    Program Synthesis with Large Language Models

    Jacob Austin, Augustus Odena, Maxwell I. Nye, Maarten Bosma, Henryk Michalewski, David Dohan, Ellen Jiang, Carrie J. Cai, Michael Terry, Quoc V . Le, and Charles Sutton. Program synthesis with large language models.CoRR, abs/2108.07732, 2021

  4. [4]

    Learning to parallel: Accelerating diffusion large language models via adaptive parallel decoding

    Wenrui Bao, Zhiben Chen, Dan Xu, and Yuzhang Shang. Learning to parallel: Accelerating diffusion large language models via adaptive parallel decoding. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026

  5. [5]

    LLaDA2.0: Scaling Up Diffusion Language Models to 100B

    Tiwei Bie, Maosong Cao, Kun Chen, Lun Du, Mingliang Gong, Zhuochen Gong, Yanmei Gu, Jiaqi Hu, Zenan Huang, Zhenzhong Lan, Chengxi Li, Chongxuan Li, Jianguo Li, Zehuan Li, Huabin Liu, Lin Liu, Guoshan Lu, Xiaocheng Lu, Yuxin Ma, Jianfeng Tan, Lanning Wei, Ji-Rong Wen, Yipeng Xing, Xiaolu Zhang, Junbo Zhao, Da Zheng, Jun Zhou, Junlin Zhou, Zhanchao Zhou, Li...

  6. [6]

    Mark Chen, Jerry Tworek, Heewoo Jun, Qiming Yuan, Henrique Pondé de Oliveira Pinto, Jared Kaplan, Harri Edwards, Yuri Burda, Nicholas Joseph, Greg Brockman, Alex Ray, Raul Puri, Gretchen Krueger, Michael Petrov, Heidy Khlaaf, Girish Sastry, Pamela Mishkin, Brooke Chan, Scott Gray, Nick Ryder, Mikhail Pavlov, Alethea Power, Lukasz Kaiser, Mohammad Bavarian...

  7. [7]

    dParallel: Learnable parallel decoding for dLLMs

    Zigeng Chen, Gongfan Fang, Xinyin Ma, Ruonan Yu, and Xinchao Wang. dParallel: Learnable parallel decoding for dLLMs. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026

  8. [8]

    Sdar: A synergistic diffusion- autoregression paradigm for scalable sequence generation.arXiv preprint arXiv:2510.06303,

    Shuang Cheng, Yihan Bian, Dawei Liu, Linfeng Zhang, Qian Yao, Zhongbo Tian, Wenhai Wang, Qipeng Guo, Kai Chen, Biqing Qi, and Bowen Zhou. SDAR: A synergistic diffusion- autoregression paradigm for scalable sequence generation.CoRR, abs/2510.06303, 2025

  9. [9]

    Training Verifiers to Solve Math Word Problems

    Karl Cobbe, Vineet Kosaraju, Mohammad Bavarian, Mark Chen, Heewoo Jun, Lukasz Kaiser, Matthias Plappert, Jerry Tworek, Jacob Hilton, Reiichiro Nakano, Christopher Hesse, and John Schulman. Training verifiers to solve math word problems.CoRR, abs/2110.14168, 2021

  10. [10]

    DiffuSeq: Sequence to sequence text generation with diffusion models

    Shansan Gong, Mukai Li, Jiangtao Feng, Zhiyong Wu, and Lingpeng Kong. DiffuSeq: Sequence to sequence text generation with diffusion models. InProceedings of the 11th International Conference on Learning Representations, Kigali, Rwanda, 2023

  11. [11]

    Scaling diffusion language models via adaptation from autoregressive models

    Shansan Gong, Shivam Agarwal, Yizhe Zhang, Jiacheng Ye, Lin Zheng, Mukai Li, Chenxin An, Peilin Zhao, Wei Bi, Jiawei Han, Hao Peng, and Lingpeng Kong. Scaling diffusion language models via adaptation from autoregressive models. InProceedings of the 13th International Conference on Learning Representations, Singapore, Singapore, 2025

  12. [12]

    DiffuCoder: Understanding and improving masked diffusion models for code generation

    Shansan Gong, Ruixiang Zhang, Huangjie Zheng, Jiatao Gu, Navdeep Jaitly, Lingpeng Kong, and Yizhe Zhang. DiffuCoder: Understanding and improving masked diffusion models for code generation. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026. 10

  13. [13]

    Denoising diffusion probabilistic models

    Jonathan Ho, Ajay Jain, and Pieter Abbeel. Denoising diffusion probabilistic models. In Advances in Neural Information Processing Systems 33, Virtual Event, 2020

  14. [14]

    Abdelfattah, Jae-sun Seo, Zhiru Zhang, and Udit Gupta

    Zhanqiu Hu, Jian Meng, Yash Akhauri, Mohamed S. Abdelfattah, Jae-sun Seo, Zhiru Zhang, and Udit Gupta. Accelerating diffusion language model inference via efficient KV caching and guided diffusion. InProceedings of the 14th International Conference on Learning Representa- tions, Rio de Janeiro, Brazil, 2026

  15. [15]

    Reinforcing the diffusion chain of lateral thought with diffusion language models

    Zemin Huang, Zhiyang Chen, Zijun Wang, Tiancheng Li, and Guo-Jun Qi. Reinforcing the diffusion chain of lateral thought with diffusion language models. InAdvances in Neural Information Processing Systems 39, San Diego, CA, 2025

  16. [16]

    Accelerating diffusion LLMs via adaptive parallel decoding

    Daniel Israel, Guy Van den Broeck, and Aditya Grover. Accelerating diffusion LLMs via adaptive parallel decoding. InAdvances in Neural Information Processing Systems 39, San Diego, CA, 2025

  17. [17]

    d2Cache: Accelerating diffusion-based LLMs via dual adaptive caching

    Yuchu Jiang, Yue Cai, Xiangzhong Luo, Jiale Fu, Jiarui Wang, Chonghan Liu, and Xu Yang. d2Cache: Accelerating diffusion-based LLMs via dual adaptive caching. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026

  18. [18]

    Mercury: Ultra-fast language models based on diffusion, 2025

    Samar Khanna, Siddhant Kharbanda, Shufan Li, Harshit Varma, Eric Wang, Sawyer Birnbaum, Ziyang Luo, Yanis Miraoui, Akash Palrecha, Stefano Ermon, Aditya Grover, and V olodymyr Kuleshov. Mercury: Ultra-fast language models based on diffusion.CoRR, abs/2506.17298, 2025

  19. [19]

    Diffuspec: Unlocking diffusion language models for speculative decoding.arXiv preprint arXiv:2510.02358, 2025

    Guanghao Li, Zhihui Fu, Min Fang, Qibin Zhao, Ming Tang, Chun Yuan, and Jun Wang. Dif- fuSpec: Unlocking diffusion language models for speculative decoding.CoRR, abs/2510.02358, 2025

  20. [20]

    A survey on diffusion language models,

    Tianyi Li, Mingda Chen, Bowei Guo, and Zhiqiang Shen. A survey on diffusion language models.CoRR, abs/2508.10875, 2025

  21. [21]

    Let’s verify step by step

    Hunter Lightman, Vineet Kosaraju, Yuri Burda, Harrison Edwards, Bowen Baker, Teddy Lee, Jan Leike, John Schulman, Ilya Sutskever, and Karl Cobbe. Let’s verify step by step. In Proceedings of the 12th International Conference on Learning Representations, Vienna, Austria, 2024

  22. [22]

    Libero: Benchmarking knowledge transfer for lifelong robot learning.Advances in Neural Information Processing Systems, 36:44776–44791, 2023a

    Zhiyuan Liu, Yicun Yang, Yaojie Zhang, Junjie Chen, Chang Zou, Qingyuan Wei, Shaobo Wang, and Linfeng Zhang. dLLM-Cache: Accelerating diffusion large language models with adaptive caching.CoRR, abs/2506.06295, 2025

  23. [23]

    Discrete diffusion modeling by estimating the ratios of the data distribution

    Aaron Lou, Chenlin Meng, and Stefano Ermon. Discrete diffusion modeling by estimating the ratios of the data distribution. InProceedings of the 41st International Conference on Machine Learning, pages 32819–32848, Vienna, Austria, 2024

  24. [24]

    AdaBlock-dLLM: Semantic-aware diffusion LLM inference via adaptive block size

    Guanxi Lu, Hao Mark Chen, Yuto Karashima, Zhican Wang, Daichi Fujiki, and Hongxiang Fan. AdaBlock-dLLM: Semantic-aware diffusion LLM inference via adaptive block size. In Proceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026

  25. [25]

    Dsb: Dynamic sliding block scheduling for diffusion llms.arXiv preprint arXiv:2602.05992,

    Lizhuo Luo, Shenggui Li, Yonggang Wen, and Tianwei Zhang. DSB: dynamic sliding block scheduling for diffusion LLMs.CoRR, abs/2602.05992, 2026

  26. [26]

    DAWN: dependency-aware fast inference for diffusion LLMs.CoRR, abs/2602.06953, 2026

    Lizhuo Luo, Zhuoran Shi, Jiajun Luo, Zhi Wang, Shen Ren, Wenya Wang, and Tianwei Zhang. DAWN: dependency-aware fast inference for diffusion LLMs.CoRR, abs/2602.06953, 2026

  27. [27]

    dKV-Cache: The cache for diffusion language models

    Xinyin Ma, Runpeng Yu, Gongfan Fang, and Xinchao Wang. dKV-Cache: The cache for diffusion language models. InAdvances in Neural Information Processing Systems 39, San Diego, CA, 2025

  28. [28]

    Attention is all you need for KV cache in diffusion LLMs

    Quan Nguyen-Tri, Mukul Ranjan, and Zhiqiang Shen. Attention is all you need for KV cache in diffusion LLMs. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026. 11

  29. [29]

    Large Language Diffusion Models

    Shen Nie, Fengqi Zhu, Zebin You, Xiaolu Zhang, Jingyang Ou, Jun Hu, Jun Zhou, Yankai Lin, Ji-Rong Wen, and Chongxuan Li. Large language diffusion models.CoRR, abs/2502.09992, 2025

  30. [30]

    Deferred commitment decoding for diffusion language models.CoRR, abs/2601.02076, 2026

    Yingte Shu, Yuchuan Tian, Chao Xu, Yunhe Wang, and Hanting Chen. Deferred commitment decoding for diffusion language models.CoRR, abs/2601.02076, 2026

  31. [31]

    Sparse-dLLM: Accelerating diffusion LLMs with dynamic cache eviction

    Yuerong Song, Xiaoran Liu, Ruixiao Li, Zhigeng Liu, Zengfeng Huang, Qipeng Guo, Ziwei He, and Xipeng Qiu. Sparse-dLLM: Accelerating diffusion LLMs with dynamic cache eviction. InProceedings of the 40th AAAI Conference on Artificial Intelligence, pages 33038–33046, Singapore, Singapore, 2026

  32. [32]

    GeoBlock: Inferring block granularity from dependency geometry in diffusion language models.CoRR, abs/2603.26675, 2026

    Lipeng Wan, Junjie Ma, Jianhui Gu, Zeyang Liu, Xuyang Lu, and Xuguang Lan. GeoBlock: Inferring block granularity from dependency geometry in diffusion language models.CoRR, abs/2603.26675, 2026

  33. [33]

    Diffusion LLMs can do faster-than-AR inference via discrete diffusion forcing

    Xu Wang, Chenkai Xu, Yijie Jin, Jiachun Jin, Hao Zhang, and Zhijie Deng. Diffusion LLMs can do faster-than-AR inference via discrete diffusion forcing. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026

  34. [34]

    Molchanov, Ping Luo, Song Han, and Enze Xie

    Chengyue Wu, Hao Zhang, Shuchen Xue, Shizhe Diao, Yonggan Fu, Zhijian Liu, Pavlo O. Molchanov, Ping Luo, Song Han, and Enze Xie. Fast-dLLM v2: Efficient block-diffusion LLM. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026

  35. [35]

    Fast-dLLM: Training-free acceleration of diffusion LLM by enabling KV cache and parallel decoding

    Chengyue Wu, Hao Zhang, Shuchen Xue, Zhijian Liu, Shizhe Diao, Ligeng Zhu, Ping Luo, Song Han, and Enze Xie. Fast-dLLM: Training-free acceleration of diffusion LLM by enabling KV cache and parallel decoding. InProceedings of the 14th International Conference on Learning Representations, Rio de Janeiro, Brazil, 2026

  36. [36]

    Dream 7B: Diffusion Large Language Models

    Jiacheng Ye, Zhihui Xie, Lin Zheng, Jiahui Gao, Zirui Wu, Xin Jiang, Zhenguo Li, and Lingpeng Kong. Dream 7B: Diffusion large language models.CoRR, abs/2508.15487, 2025

  37. [37]

    Discrete diffusion in large language and multimodal models: A survey.arXiv preprint arXiv:2506.13759, 2025

    Runpeng Yu, Qi Li, and Xinchao Wang. Discrete diffusion in large language and multimodal models: A survey.CoRR, abs/2506.13759, 2025

  38. [38]

    Swordsman: Entropy-driven adaptive block partition for efficient diffusion language models.CoRR, abs/2602.04399, 2026

    Yu Zhang, Xinchen Li, Jialei Zhou, Hongnan Ma, Zhongwei Wan, Yiwei Shi, Duoqian Miao, Qi Zhang, and Longbing Cao. Swordsman: Entropy-driven adaptive block partition for efficient diffusion language models.CoRR, abs/2602.04399, 2026

  39. [39]

    d1: Scaling reasoning in diffusion large language models via reinforcement learning

    Siyan Zhao, Devaansh Gupta, Qinqing Zheng, and Aditya Grover. d1: Scaling reasoning in diffusion large language models via reinforcement learning. InAdvances in Neural Information Processing Systems 39, San Diego, CA, 2025

  40. [40]

    LLaDA 1.5: Variance-Reduced Preference Optimization for Large Language Diffusion Models

    Fengqi Zhu, Rongzhen Wang, Shen Nie, Xiaolu Zhang, Chunwei Wu, Jun Hu, Jun Zhou, Jianfei Chen, Yankai Lin, Ji-Rong Wen, and Chongxuan Li. Llada 1.5: Variance-reduced preference optimization for large language diffusion models.CoRR, abs/2505.19223, 2025. 12 A Detailed Theoretical Analysis A.1 Detailed Derivation We fix the decoded context c before the late...