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Related papers: Towards Optimal Statistical Watermarking

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Watermarking has recently emerged as a crucial tool for protecting the intellectual property of generative models and for distinguishing AI-generated content from human-generated data. Despite its practical success, most existing…

Methodology · Statistics 2025-12-08 Hengzhi He , Shirong Xu , Alexander Nemecek , Jiping Li , Erman Ayday , Guang Cheng

Text watermarking plays a crucial role in ensuring the traceability and accountability of large language model (LLM) outputs and mitigating misuse. While promising, most existing methods assume perfect pseudorandomness. In practice,…

Statistics Theory · Mathematics 2026-01-21 T. Tony Cai , Xiang Li , Qi Long , Weijie J. Su , Garrett G. Wen

Watermarking is a principled approach for tracing the provenance of large language model (LLM) outputs, but its deployment in practice is hindered by inference inefficiency. Speculative sampling accelerates inference, with efficiency…

Machine Learning · Computer Science 2026-02-24 Weiqing He , Xiang Li , Li Shen , Weijie Su , Qi Long

Recent progress in large language models enables the creation of realistic machine-generated content. Watermarking is a promising approach to distinguish machine-generated text from human text, embedding statistical signals in the output…

Cryptography and Security · Computer Science 2026-02-25 Patrick Chao , Yan Sun , Edgar Dobriban , Hamed Hassani

Since ChatGPT was introduced in November 2022, embedding (nearly) unnoticeable statistical signals into text generated by large language models (LLMs), also known as watermarking, has been used as a principled approach to provable detection…

Statistics Theory · Mathematics 2025-08-28 Xiang Li , Feng Ruan , Huiyuan Wang , Qi Long , Weijie J. Su

Recent advancements in large language models (LLMs) have highlighted the risk of misusing them, raising the need for accurate detection of LLM-generated content. In response, a viable solution is to inject imperceptible identifiers into…

Computation and Language · Computer Science 2025-02-11 Minjia Mao , Dongjun Wei , Zeyu Chen , Xiao Fang , Michael Chau

We propose a methodology for planting watermarks in text from an autoregressive language model that are robust to perturbations without changing the distribution over text up to a certain maximum generation budget. We generate watermarked…

Machine Learning · Computer Science 2024-06-07 Rohith Kuditipudi , John Thickstun , Tatsunori Hashimoto , Percy Liang

The proliferation of Large Language Models (LLMs) necessitates efficient mechanisms to distinguish machine-generated content from human text. While statistical watermarking has emerged as a promising solution, existing methods suffer from…

Machine Learning · Computer Science 2026-02-20 Baihe Huang , Eric Xu , Kannan Ramchandran , Jiantao Jiao , Michael I. Jordan

Large-language models (LLMs) are now able to produce text that is, in many cases, seemingly indistinguishable from human-generated content. This has fueled the development of watermarks that imprint a ``signal'' in LLM-generated text with…

Cryptography and Security · Computer Science 2025-05-15 Dor Tsur , Carol Xuan Long , Claudio Mayrink Verdun , Hsiang Hsu , Haim Permuter , Flavio P. Calmon

With the increasing use of large language models (LLMs) in daily life, concerns have emerged regarding their potential misuse and societal impact. Watermarking is proposed to trace the usage of specific models by injecting patterns into…

Cryptography and Security · Computer Science 2024-05-24 Baizhou Huang , Xiaojun Wan

In this paper, we introduce a simple yet effective tabular data watermarking mechanism with statistical guarantees. We show theoretically that the proposed watermark can be effectively detected, while faithfully preserving the data…

Cryptography and Security · Computer Science 2024-05-28 Hengzhi He , Peiyu Yu , Junpeng Ren , Ying Nian Wu , Guang Cheng

We study problem-dependent rates, i.e., generalization errors that scale near-optimally with the variance, the effective loss, or the gradient norms evaluated at the "best hypothesis." We introduce a principled framework dubbed "uniform…

Machine Learning · Statistics 2020-12-25 Yunbei Xu , Assaf Zeevi

Text watermarks in large language models (LLMs) are an increasingly important tool for detecting synthetic text and distinguishing human-written content from LLM-generated text. While most existing studies focus on determining whether…

Machine Learning · Statistics 2025-06-30 Xiang Li , Garrett Wen , Weiqing He , Jiayuan Wu , Qi Long , Weijie J. Su

Watermarking language models is essential for distinguishing between human and machine-generated text and thus maintaining the integrity and trustworthiness of digital communication. We present a novel green/red list watermarking approach…

Machine Learning · Statistics 2025-06-13 Yangxinyu Xie , Xiang Li , Tanwi Mallick , Weijie J. Su , Ruixun Zhang

We study multi-bit watermarking for data generated by stochastic processes, where a hidden message is embedded during sampling and must be decodable by an authorized detector that possesses side information unavailable to unauthorized…

Information Theory · Computer Science 2026-05-12 Haiyun He , Yepeng Liu , Zhuoer Shen , Ziqiao Wang , Yongyi Mao , Yuheng Bu

The recent explosion of high-quality language models has necessitated new methods for identifying AI-generated text. Watermarking is a leading solution and could prove to be an essential tool in the age of generative AI. Existing approaches…

Cryptography and Security · Computer Science 2024-10-25 Miranda Christ , Sam Gunn , Tal Malkin , Mariana Raykova

Potential harms of large language models can be mitigated by watermarking model output, i.e., embedding signals into generated text that are invisible to humans but algorithmically detectable from a short span of tokens. We propose a…

Machine Learning · Computer Science 2024-05-03 John Kirchenbauer , Jonas Geiping , Yuxin Wen , Jonathan Katz , Ian Miers , Tom Goldstein

Large language models (LLMs) are pre-trained and post-trained on vast amounts of loosely curated data, raising the possibility that these models may have been trained on proprietary datasets or the same benchmarks used for evaluation. This…

Machine Learning · Computer Science 2026-05-11 Pengrun Huang , Kamalika Chaudhuri , Yu-Xiang Wang

This paper introduces a novel problem, distributional information embedding, motivated by the practical demands of multi-bit watermarking for large language models (LLMs). Unlike traditional information embedding, which embeds information…

Cryptography and Security · Computer Science 2025-07-03 Haiyun He , Yepeng Liu , Ziqiao Wang , Yongyi Mao , Yuheng Bu

A recent and exciting thread of work focuses on developing methods for watermarking the output of large language models (LLMs). We focus on provably undetectable watermarking-that is, schemes that do not alter the output distribution of the…

Cryptography and Security · Computer Science 2026-04-15 Noam Mazor , Andrew Morgan , Rafael Pass
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