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We explore properties and applications of the Principal Inertia Components (PICs) between two discrete random variables $X$ and $Y$. The PICs lie in the intersection of information and estimation theory, and provide a fine-grained…

Information Theory · Computer Science 2017-04-05 Flavio P. Calmon , Ali Makhdoumi , Muriel Médard , Mayank Varia , Mark Christiansen , Ken R. Duffy

A lossy source coding problem with privacy constraint is studied in which two correlated discrete sources $X$ and $Y$ are compressed into a reconstruction $\hat{X}$ with some prescribed distortion $D$. In addition, a privacy constraint is…

Information Theory · Computer Science 2015-04-23 Farshid Mokhtarinezhad , Joerg Kliewer , Osvaldo Simeone

We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized…

Information Theory · Computer Science 2019-06-26 Atefeh Gilani , Selma Belhadj Amor , Sadaf Salehkalaibar , Vincent Y. F. Tan

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

We study a semantic communication problem with a privacy constraint where an encoder consists of two separate parts, e.g., encoder 1 and encoder 2. The first encoder has access to information source $X=(X_1,\ldots,X_N)$ which is arbitrarily…

Information Theory · Computer Science 2024-12-24 Amirreza Zamani , Mikael Skoglund

Local differential privacy has recently surfaced as a strong measure of privacy in contexts where personal information remains private even from data analysts. Working in a setting where both the data providers and data analysts want to…

Information Theory · Computer Science 2015-11-20 Peter Kairouz , Sewoong Oh , Pramod Viswanath

Various modern and highly popular applications make use of user data traces in order to offer specific services, often for the purpose of improving the user's experience while using such applications. However, even when user data is…

Information Theory · Computer Science 2019-02-19 Nazanin Takbiri , Dennis L. Goeckel , Amir Houmansadr , Hossein Pishro-Nik

In the big data era, more and more cloud-based data-driven applications are developed that leverage individual data to provide certain valuable services (the utilities). On the other hand, since the same set of individual data could be…

Cryptography and Security · Computer Science 2020-05-12 Di Zhuang , J. Morris Chang

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

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…

Quantum Physics · Physics 2026-02-12 Theshani Nuradha , Sujeet Bhalerao , Felix Leditzky

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…

Cryptography and Security · Computer Science 2010-01-18 Mangesh Gupte , Mukund Sundararajan

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

We consider a user releasing her data containing some personal information in return of a service. We model user's personal information as two correlated random variables, one of them, called the secret variable, is to be kept private,…

Information Theory · Computer Science 2021-02-19 Ecenaz Erdemir , Pier Luigi Dragotti , Deniz Gunduz

The rise of connected personal devices together with privacy concerns call for machine learning algorithms capable of leveraging the data of a large number of agents to learn personalized models under strong privacy requirements. In this…

Machine Learning · Computer Science 2018-02-20 Aurélien Bellet , Rachid Guerraoui , Mahsa Taziki , Marc Tommasi

Barycentric and pairwise quantum Renyi leakages are proposed as two measures of information leakage for privacy and security analysis in quantum computing and communication systems. These quantities both require minimal assumptions on the…

Quantum Physics · Physics 2024-02-12 Farhad Farokhi

Releasing useful information from datasets with hierarchical structures while preserving individual privacy presents a significant challenge. Standard privacy-preserving mechanisms, and in particular Differential Privacy, often require…

Cryptography and Security · Computer Science 2025-05-19 Joonhyuk Ko , Juba Ziani , Ferdinando Fioretto

Ensuring privacy of sensitive data is essential in many contexts, such as healthcare data, banks, e-commerce, wireless sensor networks, and social networks. It is common that different entities coordinate or want to rely on a third party to…

Cryptography and Security · Computer Science 2014-06-16 Pradeep Chathuranga Weeraddana , George Athanasiou , Martin Jakobsson , Carlo Fischione , John S. Baras

We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in the sense that they retain accuracy even if a constant…

Machine Learning · Statistics 2022-12-02 Kristian Georgiev , Samuel B. Hopkins

We study efficient mechanisms for the query release problem in differential privacy: given a workload of $m$ statistical queries, output approximate answers to the queries while satisfying the constraints of differential privacy. In…

Data Structures and Algorithms · Computer Science 2018-11-12 Jaroslaw Blasiok , Mark Bun , Aleksandar Nikolov , Thomas Steinke

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
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