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The verification of differential privacy algorithms that employ Gaussian distributions is little understood. This paper tackles the challenge of verifying such programs by introducing a novel approach to approximating probability…

Cryptography and Security · Computer Science 2025-09-11 Bishnu Bhusal , Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

As sequential learning algorithms are increasingly applied to real life, ensuring data privacy while maintaining their utilities emerges as a timely question. In this context, regret minimisation in stochastic bandits under…

Machine Learning · Statistics 2025-05-12 Achraf Azize , Yulian Wu , Junya Honda , Francesco Orabona , Shinji Ito , Debabrota Basu

Ciphertexts of an order-preserving encryption (OPE) scheme preserve the order of their corresponding plaintexts. However, OPEs are vulnerable to inference attacks that exploit this preserved order. At another end, differential privacy has…

Cryptography and Security · Computer Science 2022-09-19 Amrita Roy Chowdhury , Bolin Ding , Somesh Jha , Weiran Liu , Jingren Zhou

Differential privacy is a mathematical notion of data privacy that has fast become the de facto standard in privacy-preserving data analysis. Recently a lot of work has focused on differential privacy in the quantum setting. Continuing on…

Quantum Physics · Physics 2026-04-14 Arghya Mukherjee , Hassan Jameel Asghar , Gavin K. Brennen

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world scenarios…

Cryptography and Security · Computer Science 2023-10-23 Syomantak Chaudhuri , Konstantin Miagkov , Thomas A. Courtade

Based on binary inquiries, we developed an algorithm to estimate population quantiles under Local Differential Privacy (LDP). By self-normalizing, our algorithm provides asymptotically normal estimation with valid inference, resulting in…

Methodology · Statistics 2023-08-08 Yi Liu , Qirui Hu , Lei Ding , Bei Jiang , Linglong Kong

With the growth of online social services, social information graphs are becoming increasingly complex. Privacy issues related to analyzing or publishing on social graphs are also becoming increasingly serious. Since the shortest paths play…

Cryptography and Security · Computer Science 2025-01-15 Weihong Sheng , Jiajun Chen , Chunqiang Hu , Bin Cai , Meng Han , Jiguo Yu

We provide a differentially private algorithm for hypothesis selection. Given samples from an unknown probability distribution $P$ and a set of $m$ probability distributions $\mathcal{H}$, the goal is to output, in a…

Data Structures and Algorithms · Computer Science 2021-01-05 Mark Bun , Gautam Kamath , Thomas Steinke , Zhiwei Steven Wu

Differential privacy (DP) is a formal notion that restricts the privacy leakage of an algorithm when running on sensitive data, in which privacy-utility trade-off is one of the central problems in private data analysis. In this work, we…

Machine Learning · Computer Science 2025-03-18 Bo Li , Wei Wang , Peng Ye

Differential privacy is a promising privacy-preserving paradigm for statistical query processing over sensitive data. It works by injecting random noise into each query result, such that it is provably hard for the adversary to infer the…

Databases · Computer Science 2015-02-27 Ganzhao Yuan , Zhenjie Zhang , Marianne Winslett , Xiaokui Xiao , Yin Yang , Zhifeng Hao

Numerical vector aggregation plays a crucial role in privacy-sensitive applications, such as distributed gradient estimation in federated learning and statistical analysis of key-value data. In the context of local differential privacy,…

Cryptography and Security · Computer Science 2023-04-11 Shaowei Wang , Jin Li , Yuntong Li , Jin Li , Wei Yang , Hongyang Yan

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt

Differential privacy (DP) considers a scenario, where an adversary has almost complete information about the entries of a database This worst-case assumption is likely to overestimate the privacy thread for an individual in real life.…

Cryptography and Security · Computer Science 2025-04-16 Dennis Breutigam , Rüdiger Reischuk

In this paper we study the uncapacitated facility location problem in the model of differential privacy (DP) with uniform facility cost. Specifically, we first show that, under the hierarchically well-separated tree (HST) metrics and the…

Data Structures and Algorithms · Computer Science 2019-10-29 Yunus Esencayi , Marco Gaboardi , Shi Li , Di Wang

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

We consider a dataset $S$ held by an agency, and a vector query of interest, $f(S) \in \mathbb{R}^k$, to be posed by an analyst, which contains the information required for certain planned statistical inference. The agency releases the…

Cryptography and Security · Computer Science 2021-10-13 Tomer Shoham , Yosef Rinott

This paper investigates differentially private analysis of distance-based outliers. The problem of outlier detection is to find a small number of instances that are apparently distant from the remaining instances. On the other hand, the…

Machine Learning · Statistics 2015-07-28 Rina Okada , Kazuto Fukuchi , Kazuya Kakizaki , Jun Sakuma

We study the problem of learning exponential distributions under differential privacy. Given $n$ i.i.d.\ samples from $\mathrm{Exp}(\lambda)$, the goal is to privately estimate $\lambda$ so that the learned distribution is close in total…

Data Structures and Algorithms · Computer Science 2026-03-31 Bar Mahpud , Or Sheffet

We consider the problem of contextual kernel bandits with stochastic contexts, where the underlying reward function belongs to a known Reproducing Kernel Hilbert Space. We study this problem under an additional constraint of Differential…

Machine Learning · Statistics 2025-07-21 Nikola Pavlovic , Sudeep Salgia , Qing Zhao

We study the sample complexity of learning threshold functions under the constraint of differential privacy. It is assumed that each labeled example in the training data is the information of one individual and we would like to come up with…

Data Structures and Algorithms · Computer Science 2019-11-25 Haim Kaplan , Katrina Ligett , Yishay Mansour , Moni Naor , Uri Stemmer