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We consider a platform's problem of collecting data from privacy sensitive users to estimate an underlying parameter of interest. We formulate this question as a Bayesian-optimal mechanism design problem, in which an individual can share…

Computer Science and Game Theory · Computer Science 2023-09-07 Alireza Fallah , Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

Optimization and Control · Mathematics 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

Triangle counting in networks under LDP (Local Differential Privacy) is a fundamental task for analyzing connection patterns or calculating a clustering coefficient while strongly protecting sensitive friendships from a central server. In…

Cryptography and Security · Computer Science 2024-01-08 Jacob Imola , Takao Murakami , Kamalika Chaudhuri

Differential private (DP) query and response mechanisms have been widely adopted in various applications based on Internet of Things (IoT) to leverage variety of benefits through data analysis. The protection of sensitive information is…

Cryptography and Security · Computer Science 2022-12-09 Muhammad Islam , Mubashir Husain Rehmani , Jinjun Chen

Consider a pair of random variables $(X,Y)$ distributed according to a given joint distribution $p_{XY}$. A curator wishes to maximally disclose information about $Y$, while limiting the information leakage incurred on $X$. Adopting mutual…

Information Theory · Computer Science 2023-01-30 Borzoo Rassouli , Deniz Gündüz

Differential privacy (DP) is the standard for privacy-preserving analysis, and introduces a fundamental trade-off between privacy guarantees and model performance. Selecting the optimal balance is a critical challenge that can be framed as…

Machine Learning · Computer Science 2025-09-05 Yaohong Yang , Aki Rehn , Sammie Katt , Antti Honkela , Samuel Kaski

Most methods for publishing data with privacy guarantees introduce randomness into datasets which reduces the utility of the published data. In this paper, we study the privacy-utility tradeoff by taking maximal leakage as the privacy…

Information Theory · Computer Science 2021-05-04 Sara Saeidian , Giulia Cervia , Tobias J. Oechtering , Mikael Skoglund

We consider the problem of estimating sparse discrete distributions under local differential privacy (LDP) and communication constraints. We characterize the sample complexity for sparse estimation under LDP constraints up to a constant…

Information Theory · Computer Science 2021-02-22 Jayadev Acharya , Peter Kairouz , Yuhan Liu , Ziteng Sun

This paper establishes the strict optimality in precision for frequency and distribution estimation under local differential privacy (LDP). We prove that a linear estimator with a symmetric and extremal configuration, and a constant support…

Information Theory · Computer Science 2026-03-24 Mingen Pan

Differential privacy (DP) provides rigorous privacy guarantees on individual's data while also allowing for accurate statistics to be conducted on the overall, sensitive dataset. To design a private system, first private algorithms must be…

Cryptography and Security · Computer Science 2020-11-19 Mark Cesar , Ryan Rogers

Privacy and communication constraints are two major bottlenecks in federated learning (FL) and analytics (FA). We study the optimal accuracy of mean and frequency estimation (canonical models for FL and FA respectively) under joint…

Machine Learning · Statistics 2023-04-05 Wei-Ning Chen , Dan Song , Ayfer Ozgur , Peter Kairouz

LDP (Local Differential Privacy) has been widely studied to estimate statistics of personal data (e.g., distribution underlying the data) while protecting users' privacy. Although LDP does not require a trusted third party, it regards all…

Databases · Computer Science 2019-05-28 Takao Murakami , Yusuke Kawamoto

Best Arm Identification (BAI) problems are progressively used for data-sensitive applications, such as designing adaptive clinical trials, tuning hyper-parameters, and conducting user studies. Motivated by the data privacy concerns invoked…

Machine Learning · Statistics 2026-04-09 Achraf Azize , Marc Jourdan , Aymen Al Marjani , Debabrota Basu

Two physical-layer mechanisms for achieving user-side differential privacy in communication systems are proposed. Focusing on binary phase-shift keying (BPSK) modulation, differential privacy (DP) is first studied under a deterministic…

Information Theory · Computer Science 2026-01-21 Morteza Varasteh , Pegah Sharifi

Differentially private (DP) mechanisms face the challenge of providing accurate results while protecting their inputs: the privacy-utility trade-off. A simple but powerful technique for DP adds noise to sensitivity-bounded query outputs to…

Cryptography and Security · Computer Science 2021-07-28 David M. Sommer , Lukas Abfalterer , Sheila Zingg , Esfandiar Mohammadi

This paper considers an information bottleneck problem with the objective of obtaining a most informative representation of a hidden feature subject to a R\'enyi entropy complexity constraint. The optimal bottleneck trade-off between…

Information Theory · Computer Science 2021-02-01 Jian-Jia Weng , Fady Alajaji , Tamás Linder

An algorithm is developed to gradually relax the Differential Privacy (DP) guarantee of a randomized response. The output from each relaxation maintains the same probability distribution as a standard randomized response with the equivalent…

Cryptography and Security · Computer Science 2024-01-26 Mingen Pan

We investigate how to optimally design local differential privacy (LDP) mechanisms that reduce data unfairness and thereby improve fairness in downstream classification. We first derive a closed-form optimal mechanism for binary sensitive…

Machine Learning · Computer Science 2026-02-02 Hrad Ghoukasian , Shahab Asoodeh

Security concerns in large-scale networked environments are becoming increasingly critical. To further improve the algorithm security from the design perspective of decentralized optimization algorithms, we introduce a new measure: Privacy…

Optimization and Control · Mathematics 2024-12-16 Luqing Wang , Luyao Guo , Shaofu Yang , Xinli Shi

Absolute anonymization, conceived as an irreversible transformation that prevents re-identification and sensitive value disclosure, has proven to be a broken promise. Consequently, modern data protection must shift toward a privacy-utility…

Methodology · Statistics 2026-03-16 Raphaël de Fondeville