More Haste, Less Speed: Weaker Single-Layer Watermark Improves Distortion-Free Watermark Ensembles

Ruibo Chen, Yihan Wu, Xuehao Cui, Jingqi Zhang, Heng Huang


Abstract
Watermarking has emerged as a crucial technique for detecting and attributing content generated by large language models. While recent advancements have utilized watermark ensembles to enhance robustness, prevailing methods typically prioritize maximizing the strength of the watermark at every individual layer. In this work, we identify a critical limitation in this "stronger-is-better" approach: strong watermarks significantly reduce the entropy of the token distribution, which paradoxically weakens the effectiveness of watermarking in subsequent layers. We theoretically and empirically show that detectability is bounded by entropy and that watermark ensembles induce a monotonic decrease in both entropy and the expected green-list ratio across layers. To address this inherent trade-off, we propose a general framework that utilizes weaker single-layer watermarks to preserve the entropy required for effective multi-layer ensembling. Empirical evaluations demonstrate that this counter-intuitive strategy mitigates signal decay and consistently outperforms strong baselines in both detectability and robustness.
Anthology ID:
2026.emnlp-main.789
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
18322–18335
Language:
URL:
https://aclanthology.org/2026.emnlp-main.789/
DOI:
Bibkey:
Cite (ACL):
Ruibo Chen, Yihan Wu, Xuehao Cui, Jingqi Zhang, and Heng Huang. 2026. More Haste, Less Speed: Weaker Single-Layer Watermark Improves Distortion-Free Watermark Ensembles. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 18322–18335, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
More Haste, Less Speed: Weaker Single-Layer Watermark Improves Distortion-Free Watermark Ensembles (Chen et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.789.pdf