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Theoretical and applied research into privacy encompasses an incredibly broad swathe of differing approaches, emphasis and aims. This work introduces a new quantitative notion of privacy that is both contextual and specific. We argue that…

统计理论 · 数学 2026-03-05 Cameron Bell , Timothy Johnston , Antoine Luciano , Christian P Robert

The no-go theorem regarding unconditionally secure Quantum Bit Commitment protocols is a relevant result in quantum cryptography. Such result has been used to prove the impossibility of unconditional security for other protocols, such as…

量子物理 · 物理学 2024-01-12 Silvia Onofri , Vittorio Giovannetti

In this paper, we present an overview of the recent developments of functional quantization of stochastic processes, with an emphasis on the quadratic case. Functional quantization is a way to approximate a process, viewed as a…

概率论 · 数学 2013-04-03 Gilles Pagès

In this article, we consider the problem of testing the independence between two random variables. Our primary objective is to develop tests that are highly effective at detecting associations arising from explicit or implicit functional…

统计方法学 · 统计学 2025-02-21 Seetharaman P , Sagnik Das , Angshuman Roy

Differential privacy is a mathematical framework for privacy-preserving data analysis. Changing the hyperparameters of a differentially private algorithm allows one to trade off privacy and utility in a principled way. Quantifying this…

机器学习 · 统计学 2020-07-23 Brendan Avent , Javier Gonzalez , Tom Diethe , Andrei Paleyes , Borja Balle

A novel definition for data privacy in quantum computing based on quantum hypothesis testing is presented in this paper. The parameters in this privacy notion possess an operational interpretation based on the success/failure of an…

量子物理 · 物理学 2023-02-27 Farhad Farokhi

Private states are those quantum states from which a perfectly secure cryptographic key can be extracted. They represent the basic unit of quantum privacy. In this work we show that all states belonging to this class violate a Bell…

量子物理 · 物理学 2015-05-14 Remigiusz Augusiak , Daniel Cavalcanti , Giuseppe Prettico , Antonio Acin

A scheme that publishes aggregate information about sensitive data must resolve the trade-off between utility to information consumers and privacy of the database participants. Differential privacy is a well-established definition of…

密码学与安全 · 计算机科学 2010-01-18 Mangesh Gupte , Mukund Sundararajan

We examine the combination of two directions in the field of privacy concerning computations over distributed private inputs - secure function evaluation (SFE) and differential privacy. While in both the goal is to privately evaluate some…

密码学与安全 · 计算机科学 2011-03-15 Amos Beimel , Kobbi Nissim , Eran Omri

A typical setup in many machine learning scenarios involves a server that holds a model and a user that possesses data, and the challenge is to perform inference while safeguarding the privacy of both parties. Private Inference has been…

信息论 · 计算机科学 2023-11-27 Zirui Deng , Vinayak Ramkumar , Rawad Bitar , Netanel Raviv

Differential privacy is a mathematical concept that provides an information-theoretic security guarantee. While differential privacy has emerged as a de facto standard for guaranteeing privacy in data sharing, the known mechanisms to…

密码学与安全 · 计算机科学 2024-03-26 March Boedihardjo , Thomas Strohmer , Roman Vershynin

By enabling multiple agents to cooperatively solve a global optimization problem in the absence of a central coordinator, decentralized stochastic optimization is gaining increasing attention in areas as diverse as machine learning,…

最优化与控制 · 数学 2022-08-10 Yongqiang Wang , Tamer Basar

When sensitive information is encoded in data, it is important to ensure the privacy of information when attempting to learn useful information from the data. There is a natural tradeoff whereby increasing privacy requirements may decrease…

量子物理 · 物理学 2026-02-12 Theshani Nuradha , Sujeet Bhalerao , Felix Leditzky

Our goal is to develop a partial ordering method for comparing stochastic choice functions on the basis of their individual rationality. To this end, we assign to any stochastic choice function a one-parameter class of deterministic choice…

理论经济学 · 经济学 2023-12-13 Efe A. Ok , Gerelt Tserenjigmid

The design of a statistical signal processing privacy problem is studied where the private data is assumed to be observable. In this work, an agent observes useful data $Y$, which is correlated with private data $X$, and wants to disclose…

信息论 · 计算机科学 2023-09-19 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

We introduce a privacy measure called pointwise maximal leakage, generalizing the pre-existing notion of maximal leakage, which quantifies the amount of information leaking about a secret $X$ by disclosing a single outcome of a (randomized)…

信息论 · 计算机科学 2023-08-16 Sara Saeidian , Giulia Cervia , Tobias J. Oechtering , Mikael Skoglund

Differential privacy is the leading mathematical framework for privacy protection, providing a probabilistic guarantee that safeguards individuals' private information when publishing statistics from a dataset. This guarantee is achieved by…

统计方法学 · 统计学 2025-08-19 Yuki Ohnishi , Jordan Awan

For analysis of a high-dimensional dataset, a common approach is to test a null hypothesis of statistical independence on all variable pairs using a non-parametric measure of dependence. However, because this approach attempts to identify…

Differential privacy is a de facto standard in data privacy, with applications in the public and private sectors. A way to explain differential privacy, which is particularly appealing to statistician and social scientists is by means of…

机器学习 · 计算机科学 2023-08-28 Borja Balle , Gilles Barthe , Marco Gaboardi , Justin Hsu , Tetsuya Sato

This work proposes an algorithmic method to verify differential privacy for estimation mechanisms with performance guarantees. Differential privacy makes it hard to distinguish outputs of a mechanism produced by adjacent inputs. While…

系统与控制 · 电气工程与系统科学 2021-12-03 Yunhai Han , Sonia Martínez