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This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

Optimization and Control · Mathematics 2026-01-15 Leandro Farias Maia

The generation speed of LLMs are bottlenecked by autoregressive decoding, where tokens are predicted sequentially one by one. Alternatively, diffusion large language models (dLLMs) theoretically allow for parallel token generation, but in…

Computation and Language · Computer Science 2025-11-03 Daniel Israel , Guy Van den Broeck , Aditya Grover

Block discrete diffusion language models factorize a sequence autoregressively over fixed-size positional blocks, decoupling within-block parallel denoising from across-block conditioning. We argue that this rigid partition wastes structure…

Computation and Language · Computer Science 2026-05-18 Yichen Zhu , Xiaoming Shi , Peng Zhao , Weiyu Chen , Debing Zhang , James Kwok

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

Diffusion language models (DLMs) have strong theoretical efficiency but are limited by fixed-length decoding and incompatibility with key-value (KV) caches. Block diffusion mitigates these issues, yet still enforces a fixed block size and…

Computation and Language · Computer Science 2025-09-30 Yangzhou Liu , Yue Cao , Hao Li , Gen Luo , Zhe Chen , Weiyun Wang , Xiaobo Liang , Biqing Qi , Lijun Wu , Changyao Tian , Yanting Zhang , Yuqiang Li , Tong Lu , Yu Qiao , Jifeng Dai , Wenhai Wang

While autoregressive (AR) Vision-Language-Action (VLA) models have demonstrated formidable reasoning capabilities in robotic tasks, their sequential decoding process often incurs high inference latency and may amplify error accumulation…

Robotics · Computer Science 2026-05-14 Ruiheng Wang , Shuanghao Bai , Haoran Zhang , Badong Chen , Xiangyu Xu

Diffusion Large Language Models (dLLMs) enable breakthroughs in reasoning and parallel decoding but suffer from prohibitive quadratic computational complexity and memory overhead during inference. Current caching techniques accelerate…

Computation and Language · Computer Science 2025-11-06 Yuerong Song , Xiaoran Liu , Ruixiao Li , Zhigeng Liu , Zengfeng Huang , Qipeng Guo , Ziwei He , Xipeng Qiu

Test-time scaling has enabled Large Language Models (LLMs) to tackle complex reasoning, yet the limitations of current Chain-of-Thought (CoT) evaluation obscures whether performance gains stem from genuine reasoning or mere verbosity. To…

Artificial Intelligence · Computer Science 2026-01-08 Zhizhang Fu , Yuancheng Gu , Chenkai Hu , Hanmeng Liu , Yue Zhang

Diffusion language models, especially masked discrete diffusion models, have achieved great success recently. While there are some theoretical and primary empirical results showing the advantages of latent reasoning with looped transformers…

Artificial Intelligence · Computer Science 2026-05-13 Cai Zhou , Chenxiao Yang , Yi Hu , Chenyu Wang , Chubin Zhang , Muhan Zhang , Lester Mackey , Tommi Jaakkola , Stephen Bates , Dinghuai Zhang

We present CadLLM, a training-free method to accelerate the inference throughput of diffusion-based LLMs (dLLMs). We first investigate the dynamic nature of token unmasking confidence across blocks and steps. Based on this observation, we…

Machine Learning · Computer Science 2026-04-20 Jucheng Shen , Gaurav Sarkar , Yeonju Ro , Sharath Nittur Sridhar , Zhangyang Wang , Aditya Akella , Souvik Kundu

Inference-time scaling has emerged as a powerful alternative to parameter scaling for improving language model performance on complex reasoning tasks. While existing methods have shown strong performance gains under fixed compute budgets,…

Artificial Intelligence · Computer Science 2025-05-21 Giannis Chatziveroglou

Large language models have achieved remarkable success under the autoregressive paradigm, yet high-quality text generation need not be tied to a fixed left-to-right order. Existing alternatives still struggle to jointly achieve generation…

Computation and Language · Computer Science 2026-05-08 Hongcan Guo , Qinyu Zhao , Yian Zhao , Shen Nie , Rui Zhu , Qiushan Guo , Feng Wang , Tao Yang , Hengshuang Zhao , Guoqiang Wei , Yan Zeng

Autoregressive decoding in large language models (LLMs) requires $\mathcal{O}(n)$ sequential steps for $n$ tokens, fundamentally limiting inference throughput. Recent diffusion-based LLMs (dLLMs) enable parallel token generation through…

Computation and Language · Computer Science 2025-10-06 Wenrui Bao , Zhiben Chen , Dan Xu , Yuzhang Shang

Large Language Models (LLMs) that can continually improve beyond their training budgets are able to solve increasingly difficult problems by adapting at test time, a property we refer to as extrapolation. However, standard reinforcement…

Machine Learning · Computer Science 2026-03-24 Ian Wu , Yuxiao Qu , Amrith Setlur , Aviral Kumar

We introduce the Diffusion Chain of Lateral Thought (DCoLT), a reasoning framework for diffusion language models. DCoLT treats each intermediate step in the reverse diffusion process as a latent "thinking" action and optimizes the entire…

Computation and Language · Computer Science 2025-11-03 Zemin Huang , Zhiyang Chen , Zijun Wang , Tiancheng Li , Guo-Jun Qi

Recent advances in multimodal large language models (MLLMs) have enabled image-based question-answering capabilities. However, a key limitation is the use of CLIP as the visual encoder; while it can capture coarse global information, it…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Vatsal Agarwal , Matthew Gwilliam , Gefen Kohavi , Eshan Verma , Daniel Ulbricht , Abhinav Shrivastava

Inference acceleration of large language models (LLMs) has been put forward in many application scenarios and speculative decoding has shown its advantage in addressing inference acceleration. Speculative decoding usually introduces a draft…

Machine Learning · Computer Science 2024-12-03 Zhuofan Wen , Shangtong Gui , Yang Feng

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

Test-time scaling strategies have effectively leveraged inference-time compute to enhance the reasoning abilities of Autoregressive Large Language Models. In this work, we demonstrate that Masked Diffusion Language Models (MDLMs) are…

Machine Learning · Computer Science 2026-02-05 Kou Misaki , Takuya Akiba

Diffusion large language models (dLLMs) generate text via iterative denoising but consistently underperform on multi-step reasoning. We hypothesize this gap stems from a coordination problem: AR models build coherence token-by-token, while…

Artificial Intelligence · Computer Science 2026-03-17 Earl J St Sauver
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