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An information-theoretic approach is proposed to watermark embedding and detection under limited detector resources. First, we consider the attack-free scenario under which asymptotically optimal decision regions in the Neyman-Pearson sense…

Information Theory · Computer Science 2016-11-15 Neri Merhav , Erez Sabbag

The theoretical foundations of data hiding have been revealed by formulating the problem as message communication over a noisy channel. We revisit the problem in light of a more general characterization of the watermark channel and of…

Information Theory · Computer Science 2008-12-01 Stéphane Pateux , Gaëtan Le Guelvouit , Christine Guillemot

This paper considers the problem of multi-bit generative watermarking for large language models under a worst-case false-alarm constraint. Prior work established a lower bound on the achievable miss-detection probability in the finite-token…

Information Theory · Computer Science 2026-04-13 Yu-Shin Huang , Chao Tian , Krishna Narayanan

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

We introduce the zero-sum game problem of soft watermarking: The hidden information (watermark) comes from a continuum and has a perceptual value; the receiver generates an estimate of the embedded watermark to minimize the expected…

Cryptography and Security · Computer Science 2016-07-13 Kivanc Mihcak , Emrah Akyol , Tamer Basar , Cedric Langbort

The embedder and the detector (or decoder) are the two most important components of the digital watermarking systems. Thus in this work, we discuss how to design a better embedder and detector (or decoder). I first give a summary of the…

Multimedia · Computer Science 2007-06-13 Jidong Zhong

Untrustworthy users can misuse image generators to synthesize high-quality deepfakes and engage in unethical activities. Watermarking deters misuse by marking generated content with a hidden message, enabling its detection using a secret…

Cryptography and Security · Computer Science 2024-01-23 Nils Lukas , Abdulrahman Diaa , Lucas Fenaux , Florian Kerschbaum

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 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

This paper presents an application of statistical machine learning to the field of watermarking. We propose a new attack model on additive spread-spectrum watermarking systems. The proposed attack is based on Bayesian statistics. We…

Cryptography and Security · Computer Science 2012-06-22 Ivo Shterev , David Dunson

In the watermark detection scenario, also known as zero-bit watermarking, a watermark, carrying no hidden message, is inserted in content. The watermark detector checks for the presence of this particular weak signal in content. The article…

Multimedia · Computer Science 2007-05-23 Teddy Furon

In continuation to earlier works where the problem of joint information embedding and lossless compression (of the composite signal) was studied in the absence \cite{MM03} and in the presence \cite{MM04} of attacks, here we consider the…

Information Theory · Computer Science 2007-07-13 Neri Merhav

We study statistical watermarking by formulating it as a hypothesis testing problem, a general framework which subsumes all previous statistical watermarking methods. Key to our formulation is a coupling of the output tokens and the…

Machine Learning · Computer Science 2024-02-08 Baihe Huang , Hanlin Zhu , Banghua Zhu , Kannan Ramchandran , Michael I. Jordan , Jason D. Lee , Jiantao Jiao

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

Watermarking generative content serves as a vital tool for authentication, ownership protection, and mitigation of potential misuse. Existing watermarking methods face the challenge of balancing robustness and concealment. They empirically…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Huayang Huang , Yu Wu , Qian Wang

Ethical concerns surrounding copyright protection and inappropriate content generation pose challenges for the practical implementation of diffusion models. One effective solution involves watermarking the generated images. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Zijin Yang , Kai Zeng , Kejiang Chen , Han Fang , Weiming Zhang , Nenghai Yu

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

In this paper we present a novel deep framework for a watermarking - a technique of embedding a transparent message into an image in a way that allows retrieving the message from a (perturbed) copy, so that copyright infringement can be…

Multimedia · Computer Science 2020-06-09 Marcin Plata , Piotr Syga

Invisible watermarking for autoregressive (AR) image generation has recently gained attention as a means of protecting image ownership and tracing AI-generated content. However, existing approaches suffer from three key limitations: (1)…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Yigit Yilmaz , Elena Petrova , Mehmet Kaya , Lucia Rossi , Amir Rahman

Diffusion models generate high-quality images but pose serious risks like copyright violation and disinformation. Watermarking is a key defense for tracing and authenticating AI-generated content. However, existing methods rely on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Yi Zhang , Hongbo Huang , Liang-Jie Zhang
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