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This paper introduces several techniques that improve the scalability of the deductive verification of data-level programs working on arrays and matrices. First of all, we introduce a technique to rewrite expressions with (nested)…

Software Engineering · Computer Science 2026-05-14 Lars B. van den Haak , Anton Wijs , Marieke Huisman

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…

Machine Learning · Computer Science 2026-04-20 Xiang Xia , Wuyang Zhang , Jiazheng Liu , Cheng Yan , Yanyong Zhang

We study why continuous diffusion language models (DLMs) have lagged behind discrete diffusion approaches despite their appealing continuous generative dynamics. Under a controlled token--recovery study, we identify token rounding, the…

Computation and Language · Computer Science 2026-03-04 Junzhe Shen , Jieru Zhao , Ziwei He , Zhouhan Lin

Diffusion language models decode text by iteratively denoising masked token sequences, making the choice of which positions to decode a central inference-time decision. Most training-free decoding strategies use model confidence for…

Computation and Language · Computer Science 2026-05-28 Jungwon Park , Jimyeong Kim , Jungmin Ko , Nojun Kwak , Wonjong Rhee

Speculative decoding accelerates autoregressive language model inference by verifying multiple draft tokens in parallel. However, the verification stage often becomes the dominant computational bottleneck, especially for long-context inputs…

Computation and Language · Computer Science 2025-12-29 Jikai Wang , Jianchao Tan , Yuxuan Hu , Jiayu Qin , Yerui Sun , Yuchen Xie , Xunliang Cai , Juntao Li , Min Zhang

Masked Diffusion Language Models generate sequences via iterative sampling that progressively unmasks tokens. However, they still recompute the attention and feed-forward blocks for every token position at every step -- even when many…

Computation and Language · Computer Science 2026-05-13 Daisuke Oba , Danushka Bollegala , Masahiro Kaneko , Naoaki Okazaki

Discrete diffusion models are increasingly competitive for language modeling, yet it remains unclear how their denoising objectives organize learning. Although these objectives target the full data distribution, we show that the exact…

Machine Learning · Computer Science 2026-05-15 Adrian Müller , Antoine Gonon , Zebang Shen , Ya-Ping Hsieh , Niao He

The image captioning task is typically realized by an auto-regressive method that decodes the text tokens one by one. We present a diffusion-based captioning model, dubbed the name DDCap, to allow more decoding flexibility. Unlike image…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Zixin Zhu , Yixuan Wei , Jianfeng Wang , Zhe Gan , Zheng Zhang , Le Wang , Gang Hua , Lijuan Wang , Zicheng Liu , Han Hu

An efficient decoder is essential for quantum error correction, and data-driven neural decoders have emerged as promising, flexible solutions. Here, we introduce a diffusion model framework to infer logical errors from syndrome measurements…

Quantum Physics · Physics 2025-09-29 Zejun Liu , Anqi Gong , Bryan K. Clark

Diffusion models have achieved remarkable success in generating high-fidelity content but suffer from slow, iterative sampling, resulting in high latency that limits their use in interactive applications. We introduce DRiffusion, a parallel…

Machine Learning · Computer Science 2026-03-30 Runsheng Bai , Chengyu Zhang , Yangdong Deng

Diffusion-based large language models (dLLMs) rely on bidirectional attention, which prevents lossless KV caching and requires a full forward pass at every denoising step. Existing approximate KV caching methods reduce this cost by…

Computation and Language · Computer Science 2026-03-20 Minsoo Cheong , Donghyun Son , Woosang Lim , Sungjoo Yoo

Language models with recurrent depth, also referred to as universal or looped when considering transformers, are defined by the capacity to increase their computation through the repetition of layers. Recent efforts in pretraining have…

Machine Learning · Computer Science 2025-10-17 Jonas Geiping , Xinyu Yang , Guinan Su

Diffusion language models (DLMs) have recently emerged as a strong alternative to autoregressive models by enabling parallel text generation. To improve inference efficiency and KV-cache compatibility, prior work commonly adopts block-based…

Computation and Language · Computer Science 2026-01-21 Yingte Shu , Yuchuan Tian , Chao Xu , Yunhe Wang , Hanting Chen

Diffusion language models (DLMs) generate text through iterative denoising, but inference requires full-sequence attention at every iteration, resulting in substantial redundant computation on masked tokens. Block-wise diffusion can reduce…

Machine Learning · Computer Science 2026-02-03 Fengrui Zuo , Zhiwei Ke , Yiming Liu , Wenqi Lou , Chao Wang , Xuehai Zhou

Graphics rendering applications increasingly leverage neural networks in tasks such as denoising, supersampling, and frame extrapolation to improve image quality while maintaining frame rates. The temporal coherence inherent in these tasks…

Graphics · Computer Science 2025-06-18 Lufei Liu , Tor M. Aamodt

Discrete diffusion language models (dLLMs) accelerate text generation by unmasking multiple tokens in parallel. However, parallel decoding introduces a distributional mismatch: it approximates the joint conditional using a fully factorized…

Computation and Language · Computer Science 2026-04-06 Liran Ringel , Ameen Ali , Yaniv Romano

Diffusion Large Language Models (DLLMs) promise fast parallel generation, yet open-source DLLMs still face a severe quality-speed trade-off: accelerating decoding by revealing multiple tokens often causes substantial quality degradation. We…

Computation and Language · Computer Science 2026-05-19 Fanqin Zeng , Feng Hong , Geng Yu , Huangjie Zheng , Xiaofeng Cao , Ya Zhang , Bo Han , Yanfeng Wang , Jiangchao Yao

Polar codes are a class of error-correcting codes that provably achieve the capacity of practical channels under the low-complexity successive-cancellation flip (SCF) decoding algorithm. However, the SCF decoding algorithm has a variable…

Information Theory · Computer Science 2024-09-06 Ilshat Sagitov , Charles Pillet , Pascal Giard

Speculative decoding is a promising approach for accelerating large language models. The primary idea is to use a lightweight draft model to speculate the output of the target model for multiple subsequent timesteps, and then verify them in…

Computation and Language · Computer Science 2025-11-06 Yepeng Weng , Qiao Hu , Xujie Chen , Li Liu , Dianwen Mei , Huishi Qiu , Jiang Tian , Zhongchao Shi

Diffusion Language Models (dLLMs) have garnered significant attention for their potential in highly parallel processing. The parallel capabilities of existing dLLMs stem from the assumption of conditional independence at high confidence…

Machine Learning · Computer Science 2026-05-13 Haohui Zhang , Zhiye Wang , Xiaoying Gan , Xinbing Wang , Bo Jiang