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A central problem in differentially private data analysis is how to design efficient algorithms capable of answering large numbers of counting queries on a sensitive database. Counting queries of the form "What fraction of individual…

密码学与安全 · 计算机科学 2013-10-02 Jonathan Ullman

We show new lower bounds on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer large sets of counting queries. A counting query on a database $D \in (\{0,1\}^d)^n$ has the form "What…

密码学与安全 · 计算机科学 2018-10-25 Mark Bun , Jonathan Ullman , Salil Vadhan

We present a practical, differentially private algorithm for answering a large number of queries on high dimensional datasets. Like all algorithms for this task, ours necessarily has worst-case complexity exponential in the dimension of the…

数据结构与算法 · 计算机科学 2018-03-16 Marco Gaboardi , Emilio Jesús Gallego Arias , Justin Hsu , Aaron Roth , Zhiwei Steven Wu

A new line of work, started with Dwork et al., studies the task of answering statistical queries using a sample and relates the problem to the concept of differential privacy. By the Hoeffding bound, a sample of size $O(\log k/\alpha^2)$…

机器学习 · 计算机科学 2015-11-11 Kobbi Nissim , Uri Stemmer

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

Cross-attention has emerged as a cornerstone module in modern artificial intelligence, underpinning critical applications such as retrieval-augmented generation (RAG), system prompting, and guided stable diffusion. However, this is a rising…

机器学习 · 计算机科学 2026-01-26 Yekun Ke , Yingyu Liang , Zhenmei Shi , Zhao Song , Jiahao Zhang

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…

量子物理 · 物理学 2026-04-14 Arghya Mukherjee , Hassan Jameel Asghar , Gavin K. Brennen

Differential privacy is a de facto standard for statistical computations over databases that contain private data. The strength of differential privacy lies in a rigorous mathematical definition that guarantees individual privacy and yet…

密码学与安全 · 计算机科学 2020-05-05 Gilles Barthe , Rohit Chadha , Vishal Jagannath , A. Prasad Sistla , Mahesh Viswanathan

In the differentially private top-$k$ selection problem, we are given a dataset $X \in \{\pm 1\}^{n \times d}$, in which each row belongs to an individual and each column corresponds to some binary attribute, and our goal is to find a set…

数据结构与算法 · 计算机科学 2017-02-13 Mitali Bafna , Jonathan Ullman

One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\em random mechanism} that takes an input database $X$ and outputs a…

统计理论 · 数学 2012-01-11 Larry Wasserman , Shuheng Zhou

We study the space complexity of the two related fields of differential privacy and adaptive data analysis. Specifically, (1) Under standard cryptographic assumptions, we show that there exists a problem P that requires exponentially more…

密码学与安全 · 计算机科学 2023-02-14 Itai Dinur , Uri Stemmer , David P. Woodruff , Samson Zhou

Differential privacy is a rigorous privacy condition achieved by randomizing query answers. This paper develops efficient algorithms for answering multiple queries under differential privacy with low error. We pursue this goal by advancing…

数据库 · 计算机科学 2011-03-08 Chao Li , Gerome Miklau

We consider the problem of property testing for differential privacy: with black-box access to a purportedly private algorithm, can we verify its privacy guarantees? In particular, we show that any privacy guarantee that can be efficiently…

密码学与安全 · 计算机科学 2019-02-14 Anna Gilbert , Audra McMillan

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

数据结构与算法 · 计算机科学 2021-08-21 Huanyu Zhang

Differential privacy is becoming a gold standard for privacy research; it offers a guaranteed bound on loss of privacy due to release of query results, even under worst-case assumptions. The theory of differential privacy is an active…

Two party differential privacy allows two parties who do not trust each other, to come together and perform a joint analysis on their data whilst maintaining individual-level privacy. We show that any efficient, computationally…

密码学与安全 · 计算机科学 2023-08-30 Vipul Arora , Eldon Chung , Zeyong Li , Thomas Tan

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

信息论 · 计算机科学 2025-12-10 Haoyang Hu , Viveck R. Cadambe

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

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 is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

密码学与安全 · 计算机科学 2008-09-30 Adam Smith
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