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We revisit Wald's celebrated Sequential Probability Ratio Test for sequential tests of two simple hypotheses, under privacy constraints. We propose DP-SPRT, a wrapper that can be calibrated to achieve desired error probabilities and privacy…

Machine Learning · Statistics 2026-02-05 Thomas Michel , Debabrota Basu , Emilie Kaufmann

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

We consider probabilistic inference in general hybrid networks, which include continuous and discrete variables in an arbitrary topology. We reexamine the question of variable discretization in a hybrid network aiming at minimizing the…

Artificial Intelligence · Computer Science 2013-02-08 Alexander V. Kozlov , Daphne Koller

We introduce the Poisson Binomial mechanism (PBM), a discrete differential privacy mechanism for distributed mean estimation (DME) with applications to federated learning and analytics. We provide a tight analysis of its privacy guarantees,…

Cryptography and Security · Computer Science 2022-07-21 Wei-Ning Chen , Ayfer Özgür , Peter Kairouz

We present a rigorous methodology for auditing differentially private machine learning algorithms by adding multiple carefully designed examples called canaries. We take a first principles approach based on three key components. First, we…

Machine Learning · Computer Science 2023-05-31 Krishna Pillutla , Galen Andrew , Peter Kairouz , H. Brendan McMahan , Alina Oprea , Sewoong Oh

Particle physics experiments rely on the (generalised) likelihood ratio test (LRT) for searches and measurements, which consist of composite hypothesis tests. However, this test is not guaranteed to be optimal, as the Neyman-Pearson lemma…

High Energy Physics - Phenomenology · Physics 2025-11-21 James Carzon , Aishik Ghosh , Rafael Izbicki , Ann Lee , Luca Masserano , Daniel Whiteson

Estimating the uncertainty of a model's prediction on a test point is a crucial part of ensuring reliability and calibration under distribution shifts. A minimum description length approach to this problem uses the predictive normalized…

Machine Learning · Computer Science 2024-07-22 Nathan Ng , Roger Grosse , Marzyeh Ghassemi

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

Machine Learning · Computer Science 2022-03-08 Edwige Cyffers , Aurélien Bellet

It has been demonstrated that hidden representation learned by a deep model can encode private information of the input, hence can be exploited to recover such information with reasonable accuracy. To address this issue, we propose a novel…

Machine Learning · Computer Science 2020-10-06 Lingjuan Lyu , Xuanli He , Yitong Li

Differential privacy (DP) is by far the most widely accepted framework for mitigating privacy risks in machine learning. However, exactly how small the privacy parameter $\epsilon$ needs to be to protect against certain privacy risks in…

Machine Learning · Computer Science 2023-08-11 Chuan Guo , Alexandre Sablayrolles , Maziar Sanjabi

We introduce a formal model for the information leakage of probability distributions and define a notion called distribution privacy as the local differential privacy for probability distributions. Roughly, the distribution privacy of a…

Cryptography and Security · Computer Science 2023-07-19 Yusuke Kawamoto , Takao Murakami

Differential privacy is among the most prominent techniques for preserving privacy of sensitive data, oweing to its robust mathematical guarantees and general applicability to a vast array of computations on data, including statistical…

Cryptography and Security · Computer Science 2021-11-25 Naoise Holohan , Stefano Braghin

We present the notion of \emph{reasonable utility} for binary mechanisms, which applies to all utility functions in the literature. This notion induces a partial ordering on the performance of all binary differentially private (DP)…

Information Theory · Computer Science 2023-11-01 Sahel Torkamani , Javad B. Ebrahimi , Parastoo Sadeghi , Rafael G. L. D'Oliveira , Muriel Médard

Protection of individual privacy is a common concern when releasing and sharing data and information. Differential privacy (DP) formalizes privacy in probabilistic terms without making assumptions about the background knowledge of data…

Methodology · Statistics 2021-05-10 Fang Liu

The increased application of machine learning (ML) in sensitive domains requires protecting the training data through privacy frameworks, such as differential privacy (DP). DP requires to specify a uniform privacy level $\varepsilon$ that…

Machine Learning · Computer Science 2024-01-31 Krishna Acharya , Franziska Boenisch , Rakshit Naidu , Juba Ziani

Sum-based global tests are highly popular in multiple hypothesis testing. In this paper we propose a general closed testing procedure for sum tests, which provides lower confidence bounds for the proportion of true discoveries (TDP),…

Methodology · Statistics 2023-04-21 Anna Vesely , Livio Finos , Jelle J. Goeman

In privacy-preserving machine learning, individual parties are reluctant to share their sensitive training data due to privacy concerns. Even the trained model parameters or prediction can pose serious privacy leakage. To address these…

Cryptography and Security · Computer Science 2020-09-04 Lingjuan Lyu , Yee Wei Law , Kee Siong Ng , Shibei Xue , Jun Zhao , Mengmeng Yang , Lei Liu

We provide improved differentially private algorithms for identity testing of high-dimensional distributions. Specifically, for $d$-dimensional Gaussian distributions with known covariance $\Sigma$, we can test whether the distribution…

Data Structures and Algorithms · Computer Science 2022-07-26 Shyam Narayanan

Differential privacy (DP) can be achieved in a distributed manner, where multiple parties add independent noise such that their sum protects the overall dataset with DP. A common technique here is for each party to sample their noise from…

Cryptography and Security · Computer Science 2025-04-08 Charlie Harrison , Pasin Manurangsi

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