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Related papers: Towards Optimal Statistical Watermarking

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Watermarking is a technical means to dissuade malfeasant usage of Large Language Models. This paper proposes a novel watermarking scheme, so-called WaterMax, that enjoys high detectability while sustaining the quality of the generated text…

Cryptography and Security · Computer Science 2024-10-21 Eva Giboulot , Teddy Furon

Watermarking has become a practical tool for tracing language model outputs, but it modifies token probabilities at inference time, which were carefully tuned by alignment training. This creates a tension: how do watermark-induced shifts…

Computation and Language · Computer Science 2026-02-25 Apurv Verma , NhatHai Phan , Shubhendu Trivedi

We revisit the fundamental question of simple-versus-simple hypothesis testing with an eye towards computational complexity, as the statistically optimal likelihood ratio test is often computationally intractable in high-dimensional…

Statistics Theory · Mathematics 2025-05-05 Ankur Moitra , Alexander S. Wein

Text watermarking aims to subtly embed statistical signals into text by controlling the Large Language Model (LLM)'s sampling process, enabling watermark detectors to verify that the output was generated by the specified model. The…

Machine Learning · Computer Science 2025-05-13 Yixin Cheng , Hongcheng Guo , Yangming Li , Leonid Sigal

LLM watermarks allow tracing AI-generated texts by inserting a detectable signal into their generated content. Recent works have proposed a wide range of watermarking algorithms, each with distinct designs, usually built using a bottom-up…

Cryptography and Security · Computer Science 2026-02-09 Thibaud Gloaguen , Robin Staab , Nikola Jovanović , Martin Vechev

The capabilities of large language models have grown significantly in recent years and so too have concerns about their misuse. It is important to be able to distinguish machine-generated text from human-authored content. Prior works have…

Cryptography and Security · Computer Science 2024-10-15 Julien Piet , Chawin Sitawarin , Vivian Fang , Norman Mu , David Wagner

We study the problem of multi-bit watermarking for large language models (LLMs). We introduce a block-autoregressive model inspired by multi-token prediction, in which the encoder has limited non-causal access to token distributions within…

Information Theory · Computer Science 2026-05-19 Sidong Guo , Tyler Kann , Teodora Baluta , Matthieu R. Bloch

Watermarking the outputs of generative models has emerged as a promising approach for tracking their provenance. Despite significant interest in autoregressive image generation models and their potential for misuse, no prior work has…

Machine Learning · Computer Science 2025-10-24 Nikola Jovanović , Ismail Labiad , Tomáš Souček , Martin Vechev , Pierre Fernandez

One popular method for dealing with large-scale data sets is sampling. For example, by using the empirical statistical leverage scores as an importance sampling distribution, the method of algorithmic leveraging samples and rescales…

Methodology · Statistics 2013-06-25 Ping Ma , Michael W. Mahoney , Bin Yu

Statistical watermarking is a common approach for verifying whether text was written by a language model. Most existing schemes assume autoregressive generation, where tokens are produced left to right and contextual hashing is well…

Computation and Language · Computer Science 2026-05-08 Mohd Ruhul Ameen , Akif Islam , Nadim Mahmud , Md. Ekramul Hamid

Within the machine learning community, the widely-used uniform convergence framework has been used to answer the question of how complex, over-parameterized models can generalize well to new data. This approach bounds the test error of the…

Machine Learning · Statistics 2021-03-05 Ryan Theisen , Jason M. Klusowski , Michael W. Mahoney

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

Text watermarking has emerged as a pivotal technique for identifying machine-generated text. However, existing methods often rely on arbitrary vocabulary partitioning during decoding to embed watermarks, which compromises the availability…

Computation and Language · Computer Science 2024-06-07 Liang Chen , Yatao Bian , Yang Deng , Deng Cai , Shuaiyi Li , Peilin Zhao , Kam-fai Wong

As policy catches up with the capabilities of generative AI, watermarking is central to content provenance efforts. Inference-time watermarks for autoregressive models are unfit for continuous modalities due to discretization…

Machine Learning · Computer Science 2026-05-26 Georgios Milis , Yubin Qin , Yihan Wu , Heng Huang

This paper considers the problem of designing physical watermark signals in order to optimally detect possible replay attack in a linear time-invariant system, under the assumption that the system parameters are unknown and need to be…

Systems and Control · Electrical Eng. & Systems 2019-11-06 Hanxiao Liu , Yilin Mo , Jiaqi Yan , Lihua Xie , Karl H. Johansson

Watermarking can detect sensor attacks in control systems by injecting a private signal into the control, whereby attacks are identified by checking the statistics of the sensor measurements and private signal. However, past approaches…

Optimization and Control · Mathematics 2017-09-26 Pedro Hespanhol , Matthew Porter , Ram Vasudevan , Anil Aswani

The rapid advancement of large language models (LLMs) has made it increasingly difficult to distinguish between text written by humans and machines. Addressing this, we propose a novel method for generating watermarks that strategically…

Computation and Language · Computer Science 2024-05-15 Georg Niess , Roman Kern

We introduce the first watermark tailored for diffusion language models (DLMs), an emergent LLM paradigm able to generate tokens in arbitrary order, in contrast to standard autoregressive language models (ARLMs) which generate tokens…

Machine Learning · Computer Science 2026-02-20 Thibaud Gloaguen , Robin Staab , Nikola Jovanović , Martin Vechev

Watermarking plays a key role in the provenance and detection of AI-generated content. While existing methods prioritize robustness against real-world distortions (e.g., JPEG compression and noise addition), we reveal a fundamental…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Zhongjie Ba , Yitao Zhang , Peng Cheng , Bin Gong , Xinyu Zhang , Qinglong Wang , Kui Ren

With the increasing popularity of large language models, concerns over content authenticity have led to the development of myriad watermarking schemes. These schemes can be used to detect a machine-generated text via an appropriate key,…

Machine Learning · Statistics 2025-09-26 Soham Bonnerjee , Sayar Karmakar , Subhrajyoty Roy
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