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We consider the problem of answering $k$ counting (i.e. sensitivity-1) queries about a database with $(\epsilon, \delta)$-differential privacy. We give a mechanism such that if the true answers to the queries are the vector $d$, the…

数据结构与算法 · 计算机科学 2020-10-06 Arun Ganesh , Jiazheng Zhao

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

We introduce a new algorithm for numerical composition of privacy random variables, useful for computing the accurate differential privacy parameters for composition of mechanisms. Our algorithm achieves a running time and memory usage of…

数据结构与算法 · 计算机科学 2022-07-12 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi

Differential privacy and sublinear algorithms are both rapidly emerging algorithmic themes in times of big data analysis. Although recent works have shown the existence of differentially private sublinear algorithms for many problems…

数据结构与算法 · 计算机科学 2025-01-15 Jeremiah Blocki , Hendrik Fichtenberger , Elena Grigorescu , Tamalika Mukherjee

We design a new algorithm for the Euclidean $k$-means problem that operates in the local model of differential privacy. Unlike in the non-private literature, differentially private algorithms for the $k$-means objective incur both additive…

机器学习 · 计算机科学 2021-06-29 Uri Stemmer

In this paper, we address the challenge of differential privacy in the context of graph cuts, specifically focusing on the multiway cut and the minimum $k$-cut. We introduce edge-differentially private algorithms that achieve nearly optimal…

密码学与安全 · 计算机科学 2024-12-04 Rishi Chandra , Michael Dinitz , Chenglin Fan , Zongrui Zou

A pervasive task in the differential privacy literature is to select the $k$ items of "highest quality" out of a set of $d$ items, where the quality of each item depends on a sensitive dataset that must be protected. Variants of this task…

数据结构与算法 · 计算机科学 2017-04-12 Thomas Steinke , Jonathan Ullman

In this work, we study the problem of answering $k$ queries with $(\epsilon, \delta)$-differential privacy, where each query has sensitivity one. We give an algorithm for this task that achieves an expected $\ell_\infty$ error bound of…

数据结构与算法 · 计算机科学 2020-12-17 Badih Ghazi , Ravi Kumar , Pasin Manurangsi

Finding min $s$-$t$ cuts in graphs is a basic algorithmic tool with applications in image segmentation, community detection, reinforcement learning, and data clustering. In this problem, we are given two nodes as terminals, and the goal is…

数据结构与算法 · 计算机科学 2023-12-29 Mina Dalirrooyfard , Slobodan Mitrović , Yuriy Nevmyvaka

We consider the problem of privately answering queries defined on databases which are collections of points belonging to some metric space. We give simple, computationally efficient algorithms for answering distance queries defined over an…

数据结构与算法 · 计算机科学 2012-12-03 Zhiyi Huang , Aaron Roth

We consider differentially private range queries on a graph where query ranges are defined as the set of edges on a shortest path of the graph. Edges in the graph carry sensitive attributes and the goal is to report the sum of these…

数据结构与算法 · 计算机科学 2023-03-03 Chengyuan Deng , Jie Gao , Jalaj Upadhyay , Chen Wang

We study the problem of differentially private query release assisted by access to public data. In this problem, the goal is to answer a large class $\mathcal{H}$ of statistical queries with error no more than $\alpha$ using a combination…

机器学习 · 计算机科学 2020-04-24 Raef Bassily , Albert Cheu , Shay Moran , Aleksandar Nikolov , Jonathan Ullman , Zhiwei Steven Wu

We propose a novel algorithm to ensure $\epsilon$-differential privacy for answering range queries on trajectory data. In order to guarantee privacy, differential privacy mechanisms add noise to either data or query, thus introducing errors…

数据库 · 计算机科学 2019-07-19 Soheila Ghane , Lars Kulik , Kotagiri Ramamohanarao

A common goal of privacy research is to release synthetic data that satisfies a formal privacy guarantee and can be used by an analyst in place of the original data. To achieve reasonable accuracy, a synthetic data set must be tuned to…

数据库 · 计算机科学 2015-03-20 Chao Li , Gerome Miklau

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…

数据库 · 计算机科学 2015-02-27 Ganzhao Yuan , Zhenjie Zhang , Marianne Winslett , Xiaokui Xiao , Yin Yang , Zhifeng Hao

Differentially private synthetic data enables the sharing and analysis of sensitive datasets while providing rigorous privacy guarantees for individual contributors. A central challenge is to achieve strong utility guarantees for meaningful…

统计理论 · 数学 2026-02-06 Rundong Ding , Yiyun He , Yizhe Zhu

We present three new algorithms for constructing differentially private synthetic data---a sanitized version of a sensitive dataset that approximately preserves the answers to a large collection of statistical queries. All three algorithms…

机器学习 · 计算机科学 2020-07-13 Giuseppe Vietri , Grace Tian , Mark Bun , Thomas Steinke , Zhiwei Steven Wu

We give new mechanisms for answering exponentially many queries from multiple analysts on a private database, while protecting differential privacy both for the individuals in the database and for the analysts. That is, our mechanism's…

数据结构与算法 · 计算机科学 2018-03-16 Justin Hsu , Aaron Roth , Jonathan Ullman

We revisit the input perturbations framework for differential privacy where noise is added to the input $A\in \mathcal{S}$ and the result is then projected back to the space of admissible datasets $\mathcal{S}$. Through this framework, we…

机器学习 · 计算机科学 2024-08-09 Vincent Cohen-Addad , Tommaso d'Orsi , Alessandro Epasto , Vahab Mirrokni , Peilin Zhong

In this paper, we propose differentially private algorithms for the problem of stochastic linear bandits in the central, local and shuffled models. In the central model, we achieve almost the same regret as the optimal non-private…

机器学习 · 计算机科学 2022-07-08 Osama A. Hanna , Antonious M. Girgis , Christina Fragouli , Suhas Diggavi