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This paper introduces the $\alpha$-Wasserstein mechanism for achieving R\'{e}nyi Pufferfish Privacy using Laplace and Gaussian noise. By leveraging H\"{o}lder's inequality, we demonstrate that the scale parameter of the Laplace mechanism…

Cryptography and Security · Computer Science 2026-05-08 Ni Ding , Wenjin Yang , Zijian Zhang

Pufferfish privacy is a flexible generalization of differential privacy that allows to model arbitrary secrets and adversary's prior knowledge about the data. Unfortunately, designing general and tractable Pufferfish mechanisms that do not…

Cryptography and Security · Computer Science 2024-06-11 Clément Pierquin , Aurélien Bellet , Marc Tommasi , Matthieu Boussard

Pufferfish privacy achieves $\epsilon$-indistinguishability over a set of secret pairs in the disclosed data. This paper studies how to attain $\epsilon$-pufferfish privacy by exponential mechanism, an additive noise scheme that generalizes…

Cryptography and Security · Computer Science 2022-02-22 Ni Ding

R\'{e}nyi Pufferfish Privacy (RPP) provides a R\'{e}nyi divergence-based privacy framework for correlated data, but existing $\infty$-Wasserstein mechanisms are often conservative and sacrifice data utility. We study Gaussian mechanisms for…

Cryptography and Security · Computer Science 2026-04-28 Wenjin Yang , Ni Ding , Zijian Zhang , Zhen Li , Jing Sun , Jincheng An , Yong Liu , Liehuang Zhu

Pufferfish is a Bayesian privacy framework for designing and analyzing privacy mechanisms. It refines differential privacy, the current gold standard in data privacy, by allowing explicit prior knowledge in privacy analysis. Through these…

Cryptography and Security · Computer Science 2021-11-17 Depeng Liu , Bow-yaw Wang , Lijun Zhang

This paper studies how to achieve individual indistinguishability by pufferfish privacy in aggregated query to a multi-user system. It is assumed that each user reports realization of a random variable. We study how to calibrate Laplace…

Cryptography and Security · Computer Science 2026-04-22 Ni Ding , Songpei Lu , Wenjing Yang , Zijian Zhang

This paper studies how to approximate pufferfish privacy when the adversary's prior belief of the published data is Gaussian distributed. Using Monge's optimal transport plan, we show that $(\epsilon, \delta)$-pufferfish privacy is attained…

Information Theory · Computer Science 2024-05-08 Ni Ding

Many modern databases include personal and sensitive correlated data, such as private information on users connected together in a social network, and measurements of physical activity of single subjects across time. However, differential…

Machine Learning · Computer Science 2017-03-14 Shuang Song , Yizhen Wang , Kamalika Chaudhuri

The Gaussian mechanism is an essential building block used in multitude of differentially private data analysis algorithms. In this paper we revisit the Gaussian mechanism and show that the original analysis has several important…

Machine Learning · Computer Science 2018-06-08 Borja Balle , Yu-Xiang Wang

There is a disconnect between how researchers and practitioners handle privacy-utility tradeoffs. Researchers primarily operate from a privacy first perspective, setting strict privacy requirements and minimizing risk subject to these…

Machine Learning · Computer Science 2023-11-14 Justin Whitehouse , Zhiwei Steven Wu , Aaditya Ramdas , Ryan Rogers

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) quantifies privacy loss by analyzing noise injected into output statistics. For non-trivial statistics, this noise is necessary to ensure finite privacy loss. However, data curators frequently release collections…

Cryptography and Security · Computer Science 2022-12-15 Jeremy Seeman , Matthew Reimherr , Aleksandra Slavkovic

In many practical applications of differential privacy, practitioners seek to provide the best privacy guarantees subject to a target level of accuracy. A recent line of work by Ligett et al. '17 and Whitehouse et al. '22 has developed such…

Cryptography and Security · Computer Science 2023-12-07 Ryan Rogers , Gennady Samorodnitsky , Zhiwei Steven Wu , Aaditya Ramdas

We study the problem of approximately recovering a probability distribution given noisy measurements of its Chebyshev polynomial moments. This problem arises broadly across algorithms, statistics, and machine learning. By leveraging a…

Data Structures and Algorithms · Computer Science 2026-05-20 Cameron Musco , Christopher Musco , Lucas Rosenblatt , Apoorv Vikram Singh

Noise is a part of data whether the data is from measurement, experiment or ... A few techniques are suggested for noise reduction to improve the data quality in recent years some of which are based on wavelet, orthogonalization and neural…

Computational Engineering, Finance, and Science · Computer Science 2023-08-02 Negin Bagherpour , Abbas Mohammadiyan

Pufferfish privacy (PP) is a generalization of differential privacy (DP), that offers flexibility in specifying sensitive information and integrates domain knowledge into the privacy definition. Inspired by the illuminating formulation of…

Information Theory · Computer Science 2024-07-18 Theshani Nuradha , Ziv Goldfeld

This paper focuses on the privacy-preserving distributed estimation problem with a limited data rate, where the observations are the sensitive information. Specifically, a binary-valued quantizer-based privacy-preserving distributed…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Jieming Ke , Jimin Wang , Ji-Feng Zhang

The quantization problem aims to find the best possible approximation of probability measures on ${\mathbb{R}}^d$ using finite, discrete measures. The Wasserstein distance is a typical choice to measure the quality of the approximation.…

Probability · Mathematics 2023-09-11 Rajmadan Lakshmanan , Alois Pichler

In a typical optimization problem, the task is to pick one of a number of options with the lowest cost or the highest value. In practice, these cost/value quantities often come through processes such as measurement or machine learning,…

Data Structures and Algorithms · Computer Science 2022-07-20 Mohammad Mahdian , Jieming Mao , Kangning Wang

The calibration of noise for a privacy-preserving mechanism depends on the sensitivity of the query and the prescribed privacy level. A data steward must make the non-trivial choice of a privacy level that balances the requirements of users…

Cryptography and Security · Computer Science 2020-04-15 Ashish Dandekar , Debabrota Basu , Stephane Bressan
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