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This article introduces a sensitivity analysis method for Multiple Testing Procedures (MTPs) using marginal $p$-values. The method is based on the Dirichlet process (DP) prior distribution, specified to support the entire space of MTPs,…

Methodology · Statistics 2025-09-19 George Karabatsos

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

We study the problem of testing \emph{conditional independence} for discrete distributions. Specifically, given samples from a discrete random variable $(X, Y, Z)$ on domain $[\ell_1]\times[\ell_2] \times [n]$, we want to distinguish, with…

Data Structures and Algorithms · Computer Science 2018-07-03 Clément L. Canonne , Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

In this article, we propose a new method for the fundamental task of testing for dependence between two groups of variables. The response densities under the null hypothesis of independence and the alternative hypothesis of dependence are…

Methodology · Statistics 2015-01-29 Yimin Kao , Brian J Reich , Howard D Bondell

Traditional differential privacy is independent of the data distribution. However, this is not well-matched with the modern machine learning context, where models are trained on specific data. As a result, achieving meaningful privacy…

Machine Learning · Computer Science 2020-08-21 Aleksei Triastcyn , Boi Faltings

In this paper we propose a nonparametric procedure for validating the assumption of stationarity in multivariate locally stationary time series models. We develop a bootstrap assisted test based on a Kolmogorov-Smirnov type statistic, which…

Statistics Theory · Mathematics 2013-12-06 Ruprecht Puchstein , Philip Preuß

Using real-world study data usually requires contractual agreements where research results may only be published in anonymized form. Requiring formal privacy guarantees, such as differential privacy, could be helpful for data-driven…

Cryptography and Security · Computer Science 2024-07-08 Jonas Allmann , Saskia Nuñez von Voigt , Florian Tschorsch

Distance Metric Learning (DML) has drawn much attention over the last two decades. A number of previous works have shown that it performs well in measuring the similarities of individuals given a set of correctly labeled pairwise data by…

Machine Learning · Computer Science 2020-03-31 Jing Li , Yuangang Pan , Yulei Sui , Ivor W. Tsang

We develop a novel computationally efficient and general framework for robust hypothesis testing. The new framework features a new way to construct uncertainty sets under the null and the alternative distributions, which are sets centered…

Machine Learning · Statistics 2018-05-29 Rui Gao , Liyan Xie , Yao Xie , Huan Xu

Differentially private distributed mean estimation (DP-DME) is a fundamental building block in privacy-preserving federated learning, where a central server estimates the mean of $d$-dimensional vectors held by $n$ users while ensuring…

Information Theory · Computer Science 2025-01-09 Sajani Vithana , Viveck R. Cadambe , Flavio P. Calmon , Haewon Jeong

We initiate the study of locally differentially private (LDP) learning with public features. We define semi-feature LDP, where some features are publicly available while the remaining ones, along with the label, require protection under…

Machine Learning · Statistics 2025-02-12 Yuheng Ma , Ke Jia , Hanfang Yang

We introduce a broadly applicable statistical procedure for testing which parametric distribution family generated a random sample of data. The method, termed the Difference in Differential Entropy (DDE) test, provides a unified framework…

Econometrics · Economics 2025-12-15 Ron Mittelhammer , George Judge , Miguel Henry

We propose a general optimization-based framework for computing differentially private M-estimators and a new method for constructing differentially private confidence regions. Firstly, we show that robust statistics can be used in…

Statistics Theory · Mathematics 2023-12-14 Marco Avella-Medina , Casey Bradshaw , Po-Ling Loh

The sequential hypothesis testing problem is a class of statistical analyses where the sample size is not fixed in advance. Instead, the decision-process takes in new observations sequentially to make real-time decisions for testing an…

Machine Learning · Statistics 2022-04-12 Wanrong Zhang , Yajun Mei , Rachel Cummings

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

Differentially private (DP) release of multidimensional statistics typically considers an aggregate sensitivity, e.g. the vector norm of a high-dimensional vector. However, different dimensions of that vector might have widely different…

Machine Learning · Statistics 2022-10-31 Joonas Jälkö , Lukas Prediger , Antti Honkela , Samuel Kaski

Most differentially private (DP) algorithms assume a central model in which a reliable third party inserts noise to queries made on datasets, or a local model where the users locally perturb their data. However, the central model is…

Cryptography and Security · Computer Science 2024-05-01 Sayan Biswas , Kangsoo Jung , Catuscia Palamidessi

In various practical situations, we encounter data from stochastic processes which can be efficiently modelled by an appropriate parametric model for subsequent statistical analyses. Unfortunately, the most common estimation and inference…

Methodology · Statistics 2022-04-12 Rohan Hore , Abhik Ghosh

Local differential privacy (LDP) enables private data sharing and analytics without the need for a trusted data collector. Error-optimal primitives (for, e.g., estimating means and item frequencies) under LDP have been well studied. For…

Cryptography and Security · Computer Science 2020-05-19 Zhuolun Xiang , Bolin Ding , Xi He , Jingren Zhou

We consider the problem of privately estimating a parameter $\mathbb{E}[h(X_1,\dots,X_k)]$, where $X_1$, $X_2$, $\dots$, $X_k$ are i.i.d. data from some distribution and $h$ is a permutation-invariant function. Without privacy constraints,…

Statistics Theory · Mathematics 2024-07-09 Kamalika Chaudhuri , Po-Ling Loh , Shourya Pandey , Purnamrita Sarkar