Any-Order in Theory, Left-to-Right in Practice: The Autoregressive Underpinnings of dLLMs

Dayuan Zhao, Yiduo Guo


Abstract
While autoregressive models (ARMs) dominate natural language processing, their strictly left-to-right decoding inherently limits global context utilization. Diffusion language models (DLMs) have recently emerged as a promising paradigm shift, theoretically offering bidirectional attention, parallel decoding, and the flexibility of any-order generation. However, the nature of this generative flexibility remains heavily under-explored. In this work, we systematically investigate the interplay between any-order flexibility, task performance, and inference efficiency. By quantifying deviations from autoregressive (AR) generation order using Normalized Edit Distance (NED) across reasoning, code, and commonsense tasks, we find that current DLMs rely heavily on near left-to-right generation pathways to achieve high performance. To weaken this coupling, we demonstrate that the generation block size acts as a key regulator of decoding order. Consequently, we propose a novel mitigation strategy: training the model with a large block size to grant it a vastly expanded exploration space, while performing inference with a comparatively smaller block size to minimize computational overhead. Ultimately, our methodology increases deviation from left-to-right generation while preserving strong task accuracy and inference efficiency.
Anthology ID:
2026.findings-emnlp.2353
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
50571–50580
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.2353/
DOI:
10.18653/2026.findings-emnlp.2353
Bibkey:
Cite (ACL):
Dayuan Zhao and Yiduo Guo. 2026. Any-Order in Theory, Left-to-Right in Practice: The Autoregressive Underpinnings of dLLMs. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 50571–50580, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Any-Order in Theory, Left-to-Right in Practice: The Autoregressive Underpinnings of dLLMs (Zhao & Guo, Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.2353.pdf