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Related papers: Differentially private Bayesian tests

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The task of statistical inference, which includes the building of confidence intervals and tests for parameters and effects of interest to a researcher, is still an open area of investigation in a differentially private (DP) setting.…

Methodology · Statistics 2025-07-17 Ogonnaya Michael Romanus , Younes Boulaguiem , Roberto Molinari

This paper develops a framework for differentially private $e$-values under Gaussian differential privacy ($\mu$-GDP). We characterize the canonical noise mechanism, establishing that optimal multiplicative perturbation follows a Gaussian…

Methodology · Statistics 2026-05-29 Qi Kuang , Bowen Gang , Yin Xia

We consider the problem of Bayesian learning on sensitive datasets and present two simple but somewhat surprising results that connect Bayesian learning to "differential privacy:, a cryptographic approach to protect individual-level privacy…

Machine Learning · Statistics 2015-04-14 Yu-Xiang Wang , Stephen E. Fienberg , Alex Smola

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

Since being proposed in 2006, differential privacy has become a standard method for quantifying certain risks in publishing or sharing analyses of sensitive data. At its heart, differential privacy measures risk in terms of the differences…

Information Theory · Computer Science 2025-11-19 Anand D. Sarwate , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar

While pursuing better utility by discovering knowledge from the data, individual's privacy may be compromised during an analysis. To that end, differential privacy has been widely recognized as the state-of-the-art privacy notion. By…

Cryptography and Security · Computer Science 2022-09-07 Meisam Mohammady

The increasing availability of personal data has enabled significant advances in fields such as machine learning, healthcare, and cybersecurity. However, this data abundance also raises serious privacy concerns, especially in light of…

Cryptography and Security · Computer Science 2026-04-24 Napsu Karmitsa , Antti Airola , Tapio Pahikkala , Tinja Pitkämäki

We propose a Bayesian pseudo posterior mechanism to generate record-level synthetic databases equipped with an $(\epsilon,\delta)-$ probabilistic differential privacy (pDP) guarantee, where $\delta$ denotes the probability that any observed…

Methodology · Statistics 2021-08-17 Terrance D. Savitsky , Matthew R. Williams , Jingchen Hu

Bayes Factors, the Bayesian tool for hypothesis testing, are receiving increasing attention in the literature. Compared to their frequentist rivals ($p$-values or test statistics), Bayes Factors have the conceptual advantage of providing…

Methodology · Statistics 2026-01-21 Stavros Nikolakopoulos , Björn Alfons Edmar , Ioannis Ntzoufras

As the use of differential privacy (DP) becomes widespread, the development of effective tools for reasoning about the privacy guarantee becomes increasingly critical. In pursuit of this goal, we demonstrate novel relationships between DP…

Cryptography and Security · Computer Science 2025-07-15 Zeki Kazan , Sagar Sharma , Wanrong Zhang , Bo Jiang , Qiang Yan

Hypothesis testing is a useful statistical tool in determining whether a given model should be rejected based on a sample from the population. Sample data may contain sensitive information about individuals, such as medical information.…

Statistics Theory · Mathematics 2016-06-03 Marco Gaboardi , Hyun woo Lim , Ryan Rogers , Salil Vadhan

We present PrivInfer, an expressive framework for writing and verifying differentially private Bayesian machine learning algorithms. Programs in PrivInfer are written in a rich functional probabilistic programming language with constructs…

Differential privacy is a promising framework for addressing the privacy concerns in sharing sensitive datasets for others to analyze. However differential privacy is a highly technical area and current deployments often require experts to…

Human-Computer Interaction · Computer Science 2018-09-13 Jack Murtagh , Kathryn Taylor , George Kellaris , Salil Vadhan

Counterfactual, serving as one emerging type of model explanation, has attracted tons of attentions recently from both industry and academia. Different from the conventional feature-based explanations (e.g., attributions), counterfactuals…

Machine Learning · Computer Science 2022-08-08 Fan Yang , Qizhang Feng , Kaixiong Zhou , Jiahao Chen , Xia Hu

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

The increased use of differential privacy (DP) has allowed the sharing of large amounts of data while reducing the risk of disclosure of sensitive information at the individual level. However, the noise introduced by DP methods makes…

Methodology · Statistics 2026-04-29 Jordan Awan , Xi Chen , Roberto Molinari

One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\em random mechanism} that takes an input database $X$ and outputs a…

Statistics Theory · Mathematics 2012-01-11 Larry Wasserman , Shuheng Zhou

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

Survival analysis is widely used in applications involving sensitive individual-level data, yet differentially private hypothesis testing for right-censored data remains largely undeveloped. We initiate a finite-sample theory of private…

Statistics Theory · Mathematics 2026-05-19 Elly K. H. Hung , Yi Yu

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
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