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Related papers: Privacy-Constrained Signals

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This paper characterizes the set of feasible posterior distributions subject to graph-based inferential privacy constraint, including both differential and inferential privacy. This characterization can be done through enumerating all…

Theoretical Economics · Economics 2025-11-14 Zhang Xu , Wei Zhao

Information disclosure can compromise privacy when revealed information is correlated with private information. We consider the notion of inferential privacy, which measures privacy leakage by bounding the inferential power a Bayesian…

Cryptography and Security · Computer Science 2024-12-16 Shuaiqi Wang , Shuran Zheng , Zinan Lin , Giulia Fanti , Zhiwei Steven Wu

Differential privacy is widely considered the formal privacy for privacy-preserving data analysis due to its robust and rigorous guarantees, with increasingly broad adoption in public services, academia, and industry. Despite originating in…

Statistics Theory · Mathematics 2024-12-05 Weijie J. Su

Private signals model noisy information about an unknown state. Although these signals are called "private," they may still carry information about each other. Our paper introduces the concept of private private signals, which contain…

Theoretical Economics · Economics 2026-05-06 Kevin He , Fedor Sandomirskiy , Omer Tamuz

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…

Information Theory · Computer Science 2023-09-19 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

We explore and compare a variety of definitions for privacy and disclosure limitation in statistical estimation and data analysis, including (approximate) differential privacy, testing-based definitions of privacy, and posterior guarantees…

Statistics Theory · Mathematics 2014-12-16 Rina Foygel Barber , John C. Duchi

We examine information structures in settings with privately informed agents and an informationally constrained mediator who supplies additional public signals. Our focus is on characterizing the set of posteriors that the mediator can…

Theoretical Economics · Economics 2025-11-13 David Lagziel , Ehud Lehrer

Differential privacy has become a widely accepted notion of privacy, leading to the introduction and deployment of numerous privatization mechanisms. However, ensuring the privacy guarantee is an error-prone process, both in designing…

Information Theory · Computer Science 2019-05-27 Xiyang Liu , Sewoong Oh

Differential Privacy (DP) is the current gold-standard for ensuring privacy for statistical queries. Estimation problems under DP constraints appearing in the literature have largely focused on providing equal privacy to all users. We…

Machine Learning · Computer Science 2025-04-22 Syomantak Chaudhuri , Thomas A. Courtade

The tension between persuasion and privacy preservation is common in real-world settings. Online platforms should protect the privacy of web users whose data they collect, even as they seek to disclose information about these data to…

Computer Science and Game Theory · Computer Science 2024-02-27 Yuqi Pan , Zhiwei Steven Wu , Haifeng Xu , Shuran Zheng

In a technical treatment, this article establishes the necessity of transparent privacy for drawing unbiased statistical inference for a wide range of scientific questions. Transparency is a distinct feature enjoyed by differential privacy:…

Methodology · Statistics 2022-09-20 Ruobin Gong

The problem of preserving the privacy of individual entries of a database when responding to linear or nonlinear queries with constrained additive noise is considered. For privacy protection, the response to the query is systematically…

Optimization and Control · Mathematics 2018-08-30 Farhad Farokhi , Henrik Sandberg

Differential privacy (DP) is the de facto notion of privacy both in theory and in practice. However, despite its popularity, DP imposes strict requirements which guard against strong worst-case scenarios. For example, it guards against…

Data Structures and Algorithms · Computer Science 2025-12-01 Guy Blanc , William Pires , Toniann Pitassi

We study statistical risk minimization problems under a privacy model in which the data is kept confidential even from the learner. In this local privacy framework, we establish sharp upper and lower bounds on the convergence rates of…

Machine Learning · Statistics 2013-10-11 John C. Duchi , Michael I. Jordan , Martin J. Wainwright

Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the utility of the resulting statistical estimators. We prove bounds on information-theoretic…

Statistics Theory · Mathematics 2014-08-28 John C. Duchi , Michael I. Jordan , Martin J. Wainwright

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

Cryptography and Security · Computer Science 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

The broadcast channel (BC) with one common and two private messages with leakage constraints is studied, where leakage rate refers to the normalized mutual information between a message and a channel symbol string. Each private message is…

Information Theory · Computer Science 2017-05-30 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter

We investigate the problem of the predictability of random variable $Y$ under a privacy constraint dictated by random variable $X$, correlated with $Y$, where both predictability and privacy are assessed in terms of the minimum mean-squared…

Information Theory · Computer Science 2016-01-28 Shahab Asoodeh , Fady Alajaji , Tamás Linder

A privacy-utility tradeoff is developed for an arbitrary set of finite-alphabet source distributions. Privacy is quantified using differential privacy (DP), and utility is quantified using expected Hamming distortion maximized over the set…

Information Theory · Computer Science 2018-08-02 Kousha Kalantari , Lalitha Sankar , Anand Sarwate

Communication is secret if a message is independent of the state; however, the receiver's subsequent action may still reveal that she has acted on hidden information. This paper studies when secret communication can also provide plausible…

Theoretical Economics · Economics 2026-05-12 Xiaoyu Cheng , Yonggyun Kim , Michael P. H. Tam
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