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Related papers: The Optimal Mechanism in Differential Privacy

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A common goal of privacy research is to release synthetic data that satisfies a formal privacy guarantee and can be used by an analyst in place of the original data. To achieve reasonable accuracy, a synthetic data set must be tuned to…

Databases · Computer Science 2015-03-20 Chao Li , Gerome Miklau

The notion of a universally utility-maximizing privacy mechanism was recently introduced by Ghosh, Roughgarden, and Sundararajan [STOC 2009]. These are mechanisms that guarantee optimal utility to a large class of information consumers,…

Cryptography and Security · Computer Science 2010-08-03 Hai Brenner , Kobbi Nissim

For evolving datasets with continual reports, the composition rule for differential privacy (DP) dictates that the scale of DP noise must grow linearly with the number of the queries, or that the privacy budget must be split equally between…

Cryptography and Security · Computer Science 2019-09-27 Farhad Farokhi

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities of two…

Information Theory · Computer Science 2010-12-22 Mário S. Alvim , Konstantinos Chatzikokolakis , Pierpaolo Degano , Catuscia Palamidessi

Privacy preserving mechanisms such as differential privacy inject additional randomness in the form of noise in the data, beyond the sampling mechanism. Ignoring this additional noise can lead to inaccurate and invalid inferences. In this…

Machine Learning · Statistics 2015-11-26 Vishesh Karwa , Dan Kifer , Aleksandra B. Slavković

In this paper, we define noiseless privacy, as a non-stochastic rival to differential privacy, requiring that the outputs of a mechanism (i.e., function composition of a privacy-preserving mapping and a query) can attain only a few values…

Information Theory · Computer Science 2019-10-30 Farhad Farokhi

Privacy protection has become an increasingly pressing requirement in distributed optimization. However, equipping distributed optimization with differential privacy, the state-of-the-art privacy protection mechanism, will unavoidably…

Optimization and Control · Mathematics 2023-04-28 Yu Xuan , Yongqiang Wang

In this paper, we focus on developing a novel mechanism to preserve differential privacy in deep neural networks, such that: (1) The privacy budget consumption is totally independent of the number of training steps; (2) It has the ability…

Cryptography and Security · Computer Science 2018-04-24 NhatHai Phan , Xintao Wu , Han Hu , Dejing Dou

We consider differentially private algorithms for reinforcement learning in continuous spaces, such that neighboring reward functions are indistinguishable. This protects the reward information from being exploited by methods such as…

Machine Learning · Statistics 2019-11-12 Baoxiang Wang , Nidhi Hegde

Distributed model predictive control (DMPC) has attracted extensive attention as it can explicitly handle system constraints and achieve optimal control in a decentralized manner. However, the deployment of DMPC strategies generally…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Kaixiang Zhang , Yongqiang Wang , Ziyou Song , Zhaojian Li

We study the relationship between randomized low influence functions and differentially private mechanisms. Our main aim is to formally determine whether differentially private mechanisms are low influence and whether low influence…

Information Theory · Computer Science 2021-02-09 Rafael G. L. D'Oliveira , Salman Salamatian , Muriel Médard , Parastoo Sadeghi

Differential privacy (DP) has become a rigorous central concept for privacy protection in the past decade. We use Gaussian differential privacy (GDP) in gauging the level of privacy protection for releasing statistical summaries from data.…

Methodology · Statistics 2025-04-01 Minwoo Kim , Jonghyeok Lee , Seung Woo Kwak , Sungkyu Jung

We investigate the distributed online nonconvex optimization problem with differential privacy over time-varying networks. Each node minimizes the sum of several nonconvex functions while preserving the node's differential privacy. We…

Systems and Control · Electrical Eng. & Systems 2025-01-09 Yingjie Zhou , Tao Li

We propose a framework to convert $(\varepsilon, \delta)$-approximate Differential Privacy (DP) mechanisms into $(\varepsilon', 0)$-pure DP mechanisms under certain conditions, a process we call ``purification.'' This algorithmic technique…

Cryptography and Security · Computer Science 2025-11-19 Yingyu Lin , Erchi Wang , Yi-An Ma , Yu-Xiang Wang

Privacy protection and nonconvexity are two challenging problems in decentralized optimization and learning involving sensitive data. Despite some recent advances addressing each of the two problems separately, no results have been reported…

Optimization and Control · Mathematics 2022-12-16 Yongqiang Wang , Tamer Basar

In this paper, we present a notion of differential privacy (DP) for data that comes from different classes. Here, the class-membership is private information that needs to be protected. The proposed method is an output perturbation…

Signal Processing · Electrical Eng. & Systems 2023-06-12 Raksha Ramakrishna , Anna Scaglione , Tong Wu , Nikhil Ravi , Sean Peisert

This paper develops a novel differentially private framework to solve convex optimization problems with sensitive optimization data and complex physical or operational constraints. Unlike standard noise-additive algorithms, that act…

Cryptography and Security · Computer Science 2020-06-23 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

The problem of estimating a parameter in the drift coefficient is addressed for $N$ discretely observed independent and identically distributed stochastic differential equations (SDEs). This is done considering additional constraints,…

Statistics Theory · Mathematics 2024-10-17 Chiara Amorino , Arnaud Gloter , Hélène Halconruy

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