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Diffusion language models enable parallel token generation through block-wise decoding, but their irreversible commitments can lead to stagnation, where the reverse diffusion process fails to make further progress under a suboptimal…

Computation and Language · Computer Science 2026-02-03 Xinyun Wang , Min Zhang , Sen Cui , Zhikang Chen , Bo Jiang , Kun Kuang , Mingbao Lin

Autoregressive (AR) generation is the standard decoding paradigm for Large Language Models (LLMs), but its token-by-token nature limits parallelism at inference time. Diffusion Language Models (DLLMs) offer parallel decoding by recovering…

Computation and Language · Computer Science 2025-12-30 Aiwei Liu , Minghua He , Shaoxun Zeng , Sijun Zhang , Linhao Zhang , Chuhan Wu , Wei Jia , Yuan Liu , Xiao Zhou , Jie Zhou

Diffusion language models (DLMs) have emerged as a promising alternative to autoregressive (AR) models for language modeling, allowing flexible generation order and parallel generation of multiple tokens. However, this flexibility…

Machine Learning · Computer Science 2026-03-24 Changxiao Cai , Gen Li

Diffusion probabilistic models (DPMs) are a new class of generative models that have achieved state-of-the-art generation quality in various domains. Despite the promise, one major drawback of DPMs is the slow generation speed due to the…

Machine Learning · Computer Science 2023-06-16 Enshu Liu , Xuefei Ning , Zinan Lin , Huazhong Yang , Yu Wang

Masked diffusion language models (MDLMs) enable parallel decoding by predicting all masked positions at each denoising step, yet existing training-free samplers usually decide which positions to commit at token-level granularity. We revisit…

Machine Learning · Computer Science 2026-05-29 Heqiang Qi , Wei Huang , Mingyuan Bai , Xiangming Meng

Masked diffusion models (MDMs) have emerged as a promising alternative to autoregressive models for language modeling, yet the effective design of transformer architectures for MDMs remains underexplored. In this paper, we show that…

Machine Learning · Computer Science 2026-05-26 Sanghyun Lee , Chunsan Hong , Seungryong Kim , Jonghyun Lee , Jongho Park , Dongmin Park

Parallel diffusion decoding can accelerate diffusion language model inference by unmasking multiple tokens per step, but aggressive parallelism often harms quality. Revocable decoding mitigates this by rechecking earlier tokens, yet we…

Computation and Language · Computer Science 2026-02-09 Yanzheng Xiang , Lan Wei , Yizhen Yao , Qinglin Zhu , Hanqi Yan , Chen Jin , Philip Alexander Teare , Dandan Zhang , Lin Gui , Amrutha Saseendran , Yulan He

Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized…

Machine Learning · Statistics 2026-05-19 Grigory Bartosh , Teodora Pandeva , Sushrut Karmalkar , Javier Zazo

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

A natural desideratum for generative models is self-correction--detecting and revising low-quality tokens at inference. While Masked Diffusion Models (MDMs) have emerged as a promising approach for generative modeling in discrete spaces,…

Machine Learning · Computer Science 2026-05-26 Jaeyeon Kim , Seunggeun Kim , Taekyun Lee , David Z. Pan , Hyeji Kim , Sham Kakade , Sitan Chen

Bayesian matrix factorization (BMF) is a powerful tool for producing low-rank representations of matrices and for predicting missing values and providing confidence intervals. Scaling up the posterior inference for massive-scale matrices is…

Machine Learning · Statistics 2019-02-28 Xiangju Qin , Paul Blomstedt , Eemeli Leppäaho , Pekka Parviainen , Samuel Kaski

Generative recommendation (GR) typically first quantizes continuous item embeddings into multi-level semantic IDs (SIDs), and then generates the next item via autoregressive decoding. Although existing methods are already competitive in…

Information Retrieval · Computer Science 2026-01-30 Lingyu Mu , Hao Deng , Haibo Xing , Jinxin Hu , Yu Zhang , Xiaoyi Zeng , Jing Zhang

Diffusion Language Models (DLMs) have recently emerged as a strong alternative to autoregressive language models (LMs). DLMs offer comparable accuracy with faster inference speed via parallel decoding. However, standard DLM decoding…

Machine Learning · Computer Science 2025-11-27 Hengyu Fu , Baihe Huang , Virginia Adams , Charles Wang , Venkat Srinivasan , Jiantao Jiao

Auto-regressive models (ARMs) have established a dominant paradigm in language modeling. However, their strictly sequential decoding paradigm imposes fundamental constraints on both inference efficiency and modeling flexibility. To address…

Computation and Language · Computer Science 2026-04-13 Yuyan Zhou , Kai Syun Hou , Weiyu Chen , James Kwok

Diffusion language models theoretically allow for efficient parallel generation but are practically hindered by the "factorization barrier": the assumption that simultaneously predicted tokens are independent. This limitation forces a…

Machine Learning · Computer Science 2026-03-11 Ian Li , Zilei Shao , Benjie Wang , Rose Yu , Guy Van den Broeck , Anji Liu

In this paper we identify the source of a singularity in the training loss of key denoising models, that causes the denoiser's predictions to collapse towards the mean of the source or target distributions. This degeneracy creates false…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Ori Matityahu , Raanan Fattal

Masked diffusion language models (MDLMs) offer the potential for parallel token generation, but most open-source MDLMs decode fewer than 5 tokens per model forward pass even with sophisticated sampling strategies, limiting their parallel…

Machine Learning · Computer Science 2026-02-09 Shirui Chen , Jiantao Jiao , Lillian J. Ratliff , Banghua Zhu

Denoising Diffusion Probabilistic Models (DDPMs) have emerged as a powerful family of generative models that can yield high-fidelity samples and competitive log-likelihoods across a range of domains, including image and speech synthesis.…

Machine Learning · Computer Science 2021-06-08 Daniel Watson , Jonathan Ho , Mohammad Norouzi , William Chan

Autoregressive (AR) models remain the standard for natural language generation but still suffer from high latency due to strictly sequential decoding. Recent diffusion-inspired approaches, such as LlaDA and Dream, mitigate this by…

Computation and Language · Computer Science 2025-10-16 Qinglin Zhu , Yizhen Yao , Runcong Zhao , Yanzheng Xiang , Amrutha Saseendran , Chen Jin , Philip Teare , Bin Liang , Yulan He , Lin Gui

Diffusion large language models (dLLMs) theoretically permit token decoding in arbitrary order, a flexibility that could enable richer exploration of reasoning paths than autoregressive (AR) LLMs. In practice, however, random-order decoding…

Computation and Language · Computer Science 2026-04-02 Liancheng Fang , Aiwei Liu , Henry Peng Zou , Yankai Chen , Enze Ma , Leyi Pan , Chunyu Miao , Wei-Chieh Huang , Xue Liu , Philip S. Yu