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We show a new lower bound on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer statistical queries on high-dimensional databases. The novelty of our bound is that it depends optimally…

数据结构与算法 · 计算机科学 2015-01-27 Thomas Steinke , Jonathan Ullman

The Horvitz-Thompson estimate of a total can be seen as as differentially private mechanism applied to this population total. We provide forumlae to compute the $\epsilon$ and $\delta$ parameter for this specific mecanism, coupled or not…

统计理论 · 数学 2025-06-18 Daniel Bernard Bonnéry , Julien Jamme

Differential privacy is a robust privacy standard that has been successfully applied to a range of data analysis tasks. Despite much recent work, optimal strategies for answering a collection of correlated queries are not known. We study…

数据库 · 计算机科学 2010-09-07 Chao Li , Michael Hay , Vibhor Rastogi , Gerome Miklau , Andrew McGregor

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…

机器学习 · 统计学 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

We study the generation of dependent random numbers in a distributed fashion in order to enable privatized distributed learning by networked agents. We propose a method that we refer to as local graph-homomorphic processing; it relies on…

密码学与安全 · 计算机科学 2022-10-28 Elsa Rizk , Stefan Vlaski , Ali H. Sayed

Integer data is typically made differentially private by adding noise from a Discrete Laplace (or Discrete Gaussian) distribution. We study the setting where differential privacy of a counting query is achieved using bit-wise randomized…

信息论 · 计算机科学 2023-11-17 David Rasmussen Lolck , Rasmus Pagh

Bootstrap is a common tool for quantifying uncertainty in data analysis. However, besides additional computational costs in the application of the bootstrap on massive data, a challenging problem in bootstrap based inference under…

机器学习 · 统计学 2025-05-05 Holger Dette , Carina Graw

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

最优化与控制 · 数学 2026-01-05 Furan Xie , Bing Liu , Li Chai

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)…

机器学习 · 计算机科学 2022-03-08 Edwige Cyffers , Aurélien Bellet

Recent work of Erlingsson, Feldman, Mironov, Raghunathan, Talwar, and Thakurta [EFMRTT19] demonstrates that random shuffling amplifies differential privacy guarantees of locally randomized data. Such amplification implies substantially…

机器学习 · 计算机科学 2021-09-09 Vitaly Feldman , Audra McMillan , Kunal Talwar

We initiate an investigation of node differential privacy for graphs in the local model of private data analysis. In our model, dubbed LNDP*, each node sees its own edge list and releases the output of a local randomizer on this input.…

数据结构与算法 · 计算机科学 2026-04-03 Sofya Raskhodnikova , Adam Smith , Connor Wagaman , Anatoly Zavyalov

We consider the task of producing heatmaps from users' aggregated data while protecting their privacy. We give a differentially private (DP) algorithm for this task and demonstrate its advantages over previous algorithms on real-world…

数据结构与算法 · 计算机科学 2022-11-28 Badih Ghazi , Junfeng He , Kai Kohlhoff , Ravi Kumar , Pasin Manurangsi , Vidhya Navalpakkam , Nachiappan Valliappan

We propose and analyze algorithms to solve a range of learning tasks under user-level differential privacy constraints. Rather than guaranteeing only the privacy of individual samples, user-level DP protects a user's entire contribution ($m…

机器学习 · 计算机科学 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

There has been a recent wave of interest in intermediate trust models for differential privacy that eliminate the need for a fully trusted central data collector, but overcome the limitations of local differential privacy. This interest has…

数据结构与算法 · 计算机科学 2020-12-07 Albert Cheu , Jonathan Ullman

The shuffle model of differential privacy has attracted attention in the literature due to it being a middle ground between the well-studied central and local models. In this work, we study the problem of summing (aggregating) real numbers…

密码学与安全 · 计算机科学 2021-09-28 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Rasmus Pagh , Amer Sinha

Micro and survey datasets often contain private information about individuals, like their health status, income or political preferences. Previous studies have shown that, even after data anonymization, a malicious intruder could still be…

应用统计 · 统计学 2024-08-26 Marco Battiston , Lorenzo Rimella

In the past decade analysis of big data has proven to be extremely valuable in many contexts. Local Differential Privacy (LDP) is a state-of-the-art approach which allows statistical computations while protecting each individual user's…

密码学与安全 · 计算机科学 2019-07-30 Björn Bebensee

Statistical methods protecting sensitive information or the identity of the data owner have become critical to ensure privacy of individuals as well as of organizations. This paper investigates anonymization methods based on representation…

机器学习 · 统计学 2018-02-27 Clément Feutry , Pablo Piantanida , Yoshua Bengio , Pierre Duhamel

In this work, we study trade-offs between accuracy and privacy in the context of linear queries over histograms. This is a rich class of queries that includes contingency tables and range queries, and has been a focus of a long line of…

数据结构与算法 · 计算机科学 2013-08-05 Aleksandar Nikolov , Kunal Talwar , Li Zhang

In this paper, we study the problem of computing $U$-statistics of degree $2$, i.e., quantities that come in the form of averages over pairs of data points, in the local model of differential privacy (LDP). The class of $U$-statistics…

机器学习 · 统计学 2020-03-04 James Bell , Aurélien Bellet , Adrià Gascón , Tejas Kulkarni