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We introduce a set of useful expressions of Differential Privacy (DP) notions in terms of the Laplace transform of the privacy loss distribution. Its bare form expression appears in several related works on analyzing DP, either as an…

Machine Learning · Computer Science 2024-11-15 Rishav Chourasia , Uzair Javaid , Biplap Sikdar

We consider three different variants of differential privacy (DP), namely approximate DP, R\'enyi DP (RDP), and hypothesis test DP. In the first part, we develop a machinery for optimally relating approximate DP to RDP based on the joint…

Information Theory · Computer Science 2021-01-26 Shahab Asoodeh , Jiachun Liao , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar

The ubiquity of distributed machine learning (ML) in sensitive public domain applications calls for algorithms that protect data privacy, while being robust to faults and adversarial behaviors. Although privacy and robustness have been…

Machine Learning · Computer Science 2023-05-30 Youssef Allouah , Rachid Guerraoui , Nirupam Gupta , Rafael Pinot , John Stephan

Differential privacy (DP) techniques can be applied to the federated learning model to statistically guarantee data privacy against inference attacks to communication among the learning agents. While ensuring strong data privacy, however,…

Machine Learning · Computer Science 2022-02-22 Minseok Ryu , Kibaek Kim

A popular approach for testing if two univariate random variables are statistically independent consists of partitioning the sample space into bins, and evaluating a test statistic on the binned data. The partition size matters, and the…

Methodology · Statistics 2016-04-28 Ruth Heller , Yair Heller , Shachar Kaufman , Barak Brill , Malka Gorfine

Differential privacy has been widely applied to provide privacy guarantees by adding random noise to the function output. However, it inevitably fails in many high-stakes voting scenarios, where voting rules are required to be…

Cryptography and Security · Computer Science 2021-03-24 Ao Liu , Yun Lu , Lirong Xia , Vassilis Zikas

We investigate the local differential privacy (LDP) guarantees of a randomized privacy mechanism via its contraction properties. We first show that LDP constraints can be equivalently cast in terms of the contraction coefficient of the…

Information Theory · Computer Science 2023-02-12 Shahab Asoodeh , Maryam Aliakbarpour , Flavio P. Calmon

Differential privacy (DP) has established itself as one of the standards for ensuring privacy of individual data. However, reasoning about DP is a challenging and error-prone task, hence methods for formal verification and refutation of DP…

Programming Languages · Computer Science 2026-04-13 Krishnendu Chatterjee , Ehsan Kafshdar Goharshady , Đorđe Žikelić

User-level privacy is important in distributed systems. Previous research primarily focuses on the central model, while the local models have received much less attention. Under the central model, user-level DP is strictly stronger than the…

Machine Learning · Statistics 2024-05-28 Puning Zhao , Li Shen , Rongfei Fan , Qingming Li , Huiwen Wu , Jiafei Wu , Zhe Liu

Differential privacy is increasingly formalized through the lens of hypothesis testing via the robust and interpretable $f$-DP framework, where privacy guarantees are encoded by a baseline Blackwell trade-off function $f_{\infty} =…

Statistics Theory · Mathematics 2025-12-02 Aaradhya Pandey , Arian Maleki , Sanjeev Kulkarni

Differential Privacy (DP) is often presented as a strong privacy-enhancing technology with broad applicability and advocated as a de-facto standard for releasing aggregate statistics on sensitive data. However, in many embodiments, DP…

Cryptography and Security · Computer Science 2024-02-13 Ari Biswas , Graham Cormode

We suggest a new single-equation test for Uncovered Interest Parity (UIP) based on a dynamic regression approach. The method provides consistent and asymptotically efficient parameter estimates, and is not dependent on assumptions of strict…

Econometrics · Economics 2022-11-03 Richard T. Baillie , Francis X. Diebold , George Kapetanios , Kun Ho Kim

$P$-values that are derived from continuously distributed test statistics are typically uniformly distributed on $(0,1)$ under least favorable parameter configurations (LFCs) in the null hypothesis. Conservativeness of a $p$-value $P$…

Methodology · Statistics 2023-03-13 Daniel Ochieng , Anh-Tuan Hoang , Thorsten Dickhaus

Differentially private (DP) mechanisms face the challenge of providing accurate results while protecting their inputs: the privacy-utility trade-off. A simple but powerful technique for DP adds noise to sensitivity-bounded query outputs to…

Cryptography and Security · Computer Science 2021-07-28 David M. Sommer , Lukas Abfalterer , Sheila Zingg , Esfandiar Mohammadi

Differential privacy (DP) is a widely-accepted and widely-applied notion of privacy based on worst-case analysis. Often, DP classifies most mechanisms without additive noise as non-private (Dwork et al., 2014). Thus, additive noises are…

Cryptography and Security · Computer Science 2023-12-14 Ao Liu , Yu-Xiang Wang , Lirong Xia

Most works in learning with differential privacy (DP) have focused on the setting where each user has a single sample. In this work, we consider the setting where each user holds $m$ samples and the privacy protection is enforced at the…

Machine Learning · Computer Science 2021-12-28 Badih Ghazi , Ravi Kumar , Pasin Manurangsi

We develop both theory and algorithms to analyze privatized data in unbounded differential privacy (DP), where even the sample size is considered a sensitive quantity that requires privacy protection. We show that the distance between the…

Statistics Theory · Mathematics 2026-04-24 Jordan Awan , Andres Felipe Barrientos , Nianqiao Ju

This paper introduces the first provably accurate algorithms for differentially private, top-down decision tree learning in the distributed setting (Balcan et al., 2012). We propose DP-TopDown, a general privacy preserving decision tree…

Machine Learning · Computer Science 2021-02-24 Kaiwen Wang , Travis Dick , Maria-Florina Balcan

We study statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for…

Machine Learning · Statistics 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

Bayesian inference has great promise for the privacy-preserving analysis of sensitive data, as posterior sampling automatically preserves differential privacy, an algorithmic notion of data privacy, under certain conditions (Dimitrakakis et…

Machine Learning · Computer Science 2016-06-10 James Foulds , Joseph Geumlek , Max Welling , Kamalika Chaudhuri