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An interactive mechanism is an algorithm that stores a data set and answers adaptively chosen queries to it. The mechanism is called differentially private, if any adversary cannot distinguish whether a specific individual is in the data…

密码学与安全 · 计算机科学 2022-10-17 Xin Lyu

The composition theorems of differential privacy (DP) allow data curators to combine different algorithms to obtain a new algorithm that continues to satisfy DP. However, new granularity notions (i.e., neighborhood definitions), data…

密码学与安全 · 计算机科学 2024-04-18 Patricia Guerra-Balboa , Àlex Miranda-Pascual , Javier Parra-Arnau , Thorsten Strufe

Many intended uses of differential privacy involve a $\textit{continual mechanism}$ that is set up to run continuously over a long period of time, making more statistical releases as either queries come in or the dataset is updated. In this…

数据结构与算法 · 计算机科学 2026-03-17 Monika Henzinger , Roodabeh Safavi , Salil Vadhan

Differential Privacy (DP) considers a scenario in which an adversary has almost complete information about the entries of a database. This worst-case assumption is likely to overestimate the privacy threat faced by an individual in…

密码学与安全 · 计算机科学 2026-02-11 Dennis Breutigam , Rüdiger Reischuk

In the study of differential privacy, composition theorems (starting with the original paper of Dwork, McSherry, Nissim, and Smith (TCC'06)) bound the degradation of privacy when composing several differentially private algorithms. Kairouz,…

计算复杂性 · 计算机科学 2016-06-01 Jack Murtagh , Salil Vadhan

We initiate a study of the composition properties of interactive differentially private mechanisms. An interactive differentially private mechanism is an algorithm that allows an analyst to adaptively ask queries about a sensitive dataset,…

密码学与安全 · 计算机科学 2021-09-17 Salil Vadhan , Tianhao Wang

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, information retrieval and many other areas related to the World Wide Web. There exist several algorithms for the problem with…

数据结构与算法 · 计算机科学 2014-12-01 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

We study the concurrent composition properties of interactive differentially private mechanisms, whereby an adversary can arbitrarily interleave its queries to the different mechanisms. We prove that all composition theorems for…

数据结构与算法 · 计算机科学 2023-03-31 Salil Vadhan , Wanrong Zhang

We study the problem of top-$k$ selection over a large domain universe subject to user-level differential privacy. Typically, the exponential mechanism or report noisy max are the algorithms used to solve this problem. However, these…

密码学与安全 · 计算机科学 2019-09-19 David Durfee , Ryan Rogers

In this paper, we consider the $k$-approximate pattern matching problem under differential privacy, where the goal is to report or count all substrings of a given string $S$ which have a Hamming distance at most $k$ to a pattern $P$, or…

数据结构与算法 · 计算机科学 2023-11-14 Teresa Anna Steiner

Differential Privacy (DP) is the leading approach to privacy preserving deep learning. As such, there are multiple efforts to provide drop-in integration of DP into popular frameworks. These efforts, which add noise to each gradient…

机器学习 · 统计学 2021-06-08 Mathias Lécuyer

Differential privacy (DP) is a widely applied paradigm for releasing data while maintaining user privacy. Its success is to a large part due to its composition property that guarantees privacy even in the case of multiple data releases.…

密码学与安全 · 计算机科学 2022-09-29 Valentin Hartmann , Vincent Bindschaedler , Robert West

Most differential privacy mechanisms are applied (i.e., composed) numerous times on sensitive data. We study the design of optimal differential privacy mechanisms in the limit of a large number of compositions. As a consequence of the law…

密码学与安全 · 计算机科学 2022-07-04 Wael Alghamdi , Shahab Asoodeh , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar , Fei Wei

In a random intersection graph $G_{n,m,p}$, each of $n$ vertices selects a random subset of a set of $m$ labels by including each label independently with probability $p$ and edges are drawn between vertices that have at least one label in…

离散数学 · 计算机科学 2022-10-06 Filippos Christodoulou , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul Spirakis

Given a graph, the densest subgraph problem asks for a set of vertices such that the average degree among these vertices is maximized. Densest subgraph has numerous applications in learning, e.g., community detection in social networks,…

密码学与安全 · 计算机科学 2022-11-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Elaine Shi

Sequential querying of differentially private mechanisms degrades the overall privacy level. In this paper, we answer the fundamental question of characterizing the level of overall privacy degradation as a function of the number of queries…

数据结构与算法 · 计算机科学 2015-12-08 Peter Kairouz , Sewoong Oh , Pramod Viswanath

The exact composition of mechanisms for which two differential privacy (DP) constraints hold simultaneously is studied. The resulting privacy region admits an exact representation as a mixture over compositions of mechanisms of…

信息论 · 计算机科学 2026-04-16 Cemre Cadir , Salim Najib , Yanina Y. Shkel

In this paper, we relate the problem of finding a maximum clique to the intersection number of the input graph (i.e. the minimum number of cliques needed to edge cover the graph). In particular, we consider the maximum clique problem for…

离散数学 · 计算机科学 2012-04-19 S. Nikoletseas , C. Raptopoulos , P. G. Spirakis

Differential privacy (DP) has become the gold standard for privacy-preserving data analysis, but its applicability can be limited in scenarios involving complex dependencies between sensitive information and datasets. To address this, we…

密码学与安全 · 计算机科学 2025-05-05 Tao Zhang , Bradley A. Malin , Netanel Raviv , Yevgeniy Vorobeychik

Existing studies on differential privacy mainly consider aggregation on data sets where each entry corresponds to a particular participant to be protected. In many situations, a user may pose a relational algebra query on a sensitive…

数据库 · 计算机科学 2013-04-18 Shixi Chen , Shuigeng Zhou
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