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We propose new statistical tests, in high-dimensional settings, for testing the independence of two random vectors and their conditional independence given a third random vector. The key idea is simple, i.e., we first transform each…

Methodology · Statistics 2026-01-28 Jinyuan Chang , Yue Du , Jing He , Qiwei Yao

In statistical disclosure control, the goal of data analysis is twofold: The released information must provide accurate and useful statistics about the underlying population of interest, while minimizing the potential for an individual…

Methodology · Statistics 2016-07-15 Jing Lei , Anne-Sophie Charest , Aleksandra Slavkovic , Adam Smith , Stephen Fienberg

Local differential privacy is a differential privacy paradigm in which individuals first apply a privacy mechanism to their data (often by adding noise) before transmitting the result to a curator. The noise for privacy results in…

Methodology · Statistics 2023-10-17 Yuki Ohnishi , Jordan Awan

We develop a near-optimal testing procedure under the framework of Gaussian differential privacy for simple as well as one- and two-sided tests under monotone likelihood ratio conditions. Our mechanism is based on a private mean estimator…

Machine Learning · Statistics 2026-01-30 Yu-Wei Chen , Raghu Pasupathy , Jordan Awan

Differential privacy provides a rigorous framework for privacy-preserving data analysis. This paper proposes the first differentially private procedure for controlling the false discovery rate (FDR) in multiple hypothesis testing. Inspired…

Statistics Theory · Mathematics 2021-07-06 Cynthia Dwork , Weijie J. Su , Li Zhang

We consider the task of constructing confidence intervals with differential privacy. We propose two private variants of the non-parametric bootstrap, which privately compute the median of the results of multiple "little" bootstraps run on…

Machine Learning · Statistics 2024-06-05 Karan Chadha , John Duchi , Rohith Kuditipudi

One-shot federated learning enables multi-site inference with minimal communication. However, sharing summary statistics can still leak sensitive individual-level information when sites have only a small number of patients. In particular,…

Methodology · Statistics 2026-04-02 Keisuke Hanada , Toshio Shimokawa , Kazushi Maruo

It is of soaring demand to develop statistical analysis tools that are robust against contamination as well as preserving individual data owners' privacy. In spite of the fact that both topics host a rich body of literature, to the best of…

Statistics Theory · Mathematics 2022-09-01 Mengchu Li , Thomas B. Berrett , Yi Yu

As members of a network share more information with each other and network providers, sensitive data leakage raises privacy concerns. To address this need for a class of problems, we introduce a novel mechanism that privatizes vectors…

Cryptography and Security · Computer Science 2019-10-02 Parham Gohari , Bo Wu , Matthew Hale , Ufuk Topcu

We propose new differential privacy solutions for when external \emph{invariants} and \emph{integer} constraints are simultaneously enforced on the data product. These requirements arise in real world applications of private data curation,…

Cryptography and Security · Computer Science 2022-12-05 Prathamesh Dharangutte , Jie Gao , Ruobin Gong , Fang-Yi Yu

We find separation rates for testing multinomial or more general discrete distributions under the constraint of local differential privacy. We construct efficient randomized algorithms and test procedures, in both the case where only…

Statistics Theory · Mathematics 2020-05-27 Thomas B. Berrett , Cristina Butucea

Parameterizing the approximate posterior of a generative model with neural networks has become a common theme in recent machine learning research. While providing appealing flexibility, this approach makes it difficult to impose or assess…

Machine Learning · Computer Science 2018-11-30 Romain Lopez , Jeffrey Regier , Michael I. Jordan , Nir Yosef

In differential privacy, random noise is introduced to privatize summary statistics of a sensitive dataset before releasing them. The noise level determines the privacy loss, which quantifies how easily an adversary can detect a target…

Statistics Theory · Mathematics 2026-02-24 Youngjoo Yun , Rishabh Dudeja

We theoretically study the impact of differential privacy on fairness in classification. We prove that, given a class of models, popular group fairness measures are pointwise Lipschitz-continuous with respect to the parameters of the model.…

Machine Learning · Computer Science 2023-09-19 Paul Mangold , Michaël Perrot , Aurélien Bellet , Marc Tommasi

Differential privacy (DP) provides a formal privacy guarantee that prevents adversaries with access to machine learning models from extracting information about individual training points. Differentially private stochastic gradient descent…

Cryptography and Security · Computer Science 2022-12-15 Jie Fu , Zhili Chen , XinPeng Ling

The local model for differential privacy is emerging as the reference model for practical applications collecting and sharing sensitive information while satisfying strong privacy guarantees. In the local model, there is no trusted entity…

Statistics Theory · Mathematics 2018-03-12 Marco Gaboardi , Ryan Rogers

A deterministic privacy metric using non-stochastic information theory is developed. Particularly, minimax information is used to construct a measure of information leakage, which is inversely proportional to the measure of privacy. Anyone…

Information Theory · Computer Science 2019-03-07 Farhad Farokhi

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani

Uniformity testing, or testing whether independent observations are uniformly distributed, is the prototypical question in distribution testing. Over the past years, a line of work has been focusing on uniformity testing under privacy…

Data Structures and Algorithms · Computer Science 2021-10-19 Clément L. Canonne , Hongyi Lyu

Differential privacy (DP) is a class of mathematical standards for assessing the privacy provided by a data-release mechanism. This work concerns two important flavors of DP that are related yet conceptually distinct: pure…

Statistics Theory · Mathematics 2024-08-22 James Bailie , Ruobin Gong
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