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In this paper, we deal with the proof of ownership or legitimate usage of a digital content, such as an image, in order to tackle the illegitimate copy. The proposed scheme based on the combination of the watermark-ing and cancelable…

Cryptography and Security · Computer Science 2015-03-17 Morgan Barbier , Jean-Marie Le Bars , Christophe Rosenberger

We discuss a cheap and stable approach to polynomial moment-based compression of multivariate measures by discrete signed measures. The method is based on the availability of an orthonormal basis and a low-cardinality algebraic quadrature…

Numerical Analysis · Mathematics 2025-10-28 Laura Rinaldi , Alvise Sommariva , Marco Vianello

It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed as a (2N+1)-banded symmetric semi-infinite matrix. In this…

Classical Analysis and ODEs · Mathematics 2022-03-08 Carlos Hermoso , Edmundo J. Huertas , Alberto Lastra , Francisco Marcellán

This paper presents a traitor-tracing technique based on the watermarking of digital documents (\pdf{} files in particular). The watermarking algorithm uses a chain of three separate techniques that work in synergy. The embedded payload can…

Cryptography and Security · Computer Science 2021-09-21 Fabrizio d'Amore , Alessandro Serpi

The analysis of the double-diffusion model and $\mathbf{H}(\mathrm{div})$-conforming method introduced in [B\"urger, M\'endez, Ruiz-Baier, SINUM (2019), 57:1318--1343] is extended to the time-dependent case. In addition, the efficiency and…

Numerical Analysis · Mathematics 2021-02-12 Raimund Bürger , Arbaz Khan , Paul E. Méndez , Ricardo Ruiz-Baier

We study two families of type II discrete multiple orthogonal polynomials on an $r$-legged star-like set with respect to $r$ weight functions of Charlier (Poisson distributions) and Meixner (negative binomial distributions), respectively.…

Classical Analysis and ODEs · Mathematics 2023-12-25 Jorge Arvesú Carballo , Alejandro J. Quintero Roba

With the increasing use of large-language models (LLMs) like ChatGPT, watermarking has emerged as a promising approach for tracing machine-generated content. However, research on LLM watermarking often relies on simple perplexity or…

Computation and Language · Computer Science 2023-12-06 Karanpartap Singh , James Zou

In the present-day scenario, Large Language Models (LLMs) are establishing their presence as powerful instruments permeating various sectors of society. While their utility offers valuable support to individuals, there are multiple concerns…

Computation and Language · Computer Science 2025-07-01 Badr Youbi Idrissi , Monica Millunzi , Amelia Sorrenti , Lorenzo Baraldi , Daryna Dementieva

The aim of the work is to construct new polynomial systems, which are solutions to certain functional equations which generalize the second-order differential equations satisfied by the so called classical orthogonal polynomial families of…

Classical Analysis and ODEs · Mathematics 2023-07-31 Edmundo J. Huertas , Alberto Lastra , Víctor Soto-Larrosa

Motivated by the problem of detecting AI-generated text, we consider the problem of watermarking the output of language models with provable guarantees. We aim for watermarks which satisfy: (a) undetectability, a cryptographic notion…

Cryptography and Security · Computer Science 2025-05-29 Noah Golowich , Ankur Moitra

Watermarking is a way of embedding information in digital documents. Much research has been done on techniques for watermarking relational databases and XML documents, where the process of embedding information shouldn't distort query…

Logic in Computer Science · Computer Science 2019-09-26 Agnishom Chattopadhyay , M. Praveen

The wide deployment of Face Recognition (FR) systems poses privacy risks. One countermeasure is adversarial attack, deceiving unauthorized malicious FR, but it also disrupts regular identity verification of trusted authorizers, exacerbating…

Cryptography and Security · Computer Science 2024-10-24 Yunming Zhang , Dengpan Ye , Caiyun Xie , Sipeng Shen , Ziyi Liu , Jiacheng Deng , Long Tang

Watermark algorithms for large language models (LLMs) have achieved extremely high accuracy in detecting text generated by LLMs. Such algorithms typically involve adding extra watermark logits to the LLM's logits at each generation step.…

Cryptography and Security · Computer Science 2024-05-21 Aiwei Liu , Leyi Pan , Xuming Hu , Shiao Meng , Lijie Wen

We present a way of constructing multi-time-step monolithic coupling methods for elastodynamics. The governing equations for constrained multiple subdomains are written in dual Schur form and enforce the continuity of velocities at system…

Numerical Analysis · Computer Science 2015-06-16 S. Karimi , K. B. Nakshatrala

As artificial intelligence surpasses human capabilities in text generation, the necessity to authenticate the origins of AI-generated content has become paramount. Unbiased watermarks offer a powerful solution by embedding statistical…

Computation and Language · Computer Science 2025-08-07 Ruibo Chen , Yihan Wu , Junfeng Guo , Heng Huang

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

In this work we describe a fast and stable algorithm for the computation of the orthogonal moments of an image. Indeed, orthogonal moments are characterized by a high discriminative power, but some of their possible formulations are…

Numerical Analysis · Mathematics 2021-09-21 C. Di Ruberto , L. Putzu , G. Rodriguez

With the rapid development of cloud-based services, large language models have become increasingly accessible through various web platforms. However, this accessibility has also led to growing risks of model abuse. LLM watermarking has…

Cryptography and Security · Computer Science 2026-04-28 Hao Li , Yubing Ren , Yanan Cao , Yingjie Li , Fang Fang , Shi Wang , Li Guo

Detecting whether copyright holders' works were used in LLM pretraining is poised to be an important problem. This work proposes using data watermarks to enable principled detection with only black-box model access, provided that the…

Cryptography and Security · Computer Science 2024-08-20 Johnny Tian-Zheng Wei , Ryan Yixiang Wang , Robin Jia

This paper presents a new approach, based on polynomial optimization and the method of moments, to the problem of anomaly detection. The proposed technique only requires information about the statistical moments of the normal-state…

Optimization and Control · Mathematics 2015-06-02 Jose A. Lopez , Octavia Camps , Mario Sznaier
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