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We present a new locally differentially private algorithm for the heavy hitters problem which achieves optimal worst-case error as a function of all standardly considered parameters. Prior work obtained error rates which depend optimally on…

数据结构与算法 · 计算机科学 2017-11-15 Mark Bun , Jelani Nelson , Uri Stemmer

We study the optimal sample complexity of a given workload of linear queries under the constraints of differential privacy. The sample complexity of a query answering mechanism under error parameter $\alpha$ is the smallest $n$ such that…

数据结构与算法 · 计算机科学 2016-12-12 Assimakis Kattis , Aleksandar Nikolov

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

We give a technique to reduce the error probability of quantum algorithms that determine whether its input has a specified property of interest. The standard process of reducing this error is statistical processing of the results of…

计算复杂性 · 计算机科学 2019-07-24 Debajyoti Bera , Tharrmashastha P.

An open problem that is widely regarded as one of the most important in quantum query complexity is to resolve the quantum query complexity of the k-distinctness function on inputs of size N. While the case of k=2 (also called Element…

量子物理 · 物理学 2023-03-15 Nikhil S. Mande , Justin Thaler , Shuchen Zhu

We show that differential privacy type guarantees can be obtained when using a Poisson synthesis mechanism to protect counts in contingency tables. Specifically, we show how to obtain $(\epsilon, \delta)$-probabilistic differential privacy…

密码学与安全 · 计算机科学 2024-07-02 James Jackson , Robin Mitra , Brian Francis , Iain Dove

Differential privacy is achieved by the introduction of Laplacian noise in the response to a query, establishing a precise trade-off between the level of differential privacy and the accuracy of the database response (via the amount of…

密码学与安全 · 计算机科学 2015-10-06 Maurizio Naldi , Giuseppe D'Acquisto

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

数据结构与算法 · 计算机科学 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

This paper aims at answering the following two questions in privacy-preserving data analysis and publishing: What formal privacy guarantee (if any) does $k$-anonymization provide? How to benefit from the adversary's uncertainty about the…

密码学与安全 · 计算机科学 2015-03-17 Ninghui Li , Wahbeh Qardaji , Dong Su

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

机器学习 · 计算机科学 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

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

Adding random noise to database query results is an important tool for achieving privacy. A challenge is to minimize this noise while still meeting privacy requirements. Recently, a sufficient and necessary condition for $(\epsilon,…

密码学与安全 · 计算机科学 2026-01-28 Staal A. Vinterbo

We study the task of differentially private clustering. For several basic clustering problems, including Euclidean DensestBall, 1-Cluster, k-means, and k-median, we give efficient differentially private algorithms that achieve essentially…

机器学习 · 计算机科学 2020-08-19 Badih Ghazi , Ravi Kumar , Pasin Manurangsi

Differential privacy (DP) is a compelling privacy definition that explains the privacy-utility tradeoff via formal, provable guarantees. Inspired by recent progress toward general-purpose data release algorithms, we propose a private…

数据结构与算法 · 计算机科学 2020-06-17 Benjamin Coleman , Anshumali Shrivastava

We study the fundamental problems of identity testing (goodness of fit), and closeness testing (two sample test) of distributions over $k$ elements, under differential privacy. While the problems have a long history in statistics, finite…

机器学习 · 计算机科学 2017-11-01 Jayadev Acharya , Ziteng Sun , Huanyu Zhang

Fingerprinting arguments, first introduced by Bun, Ullman, and Vadhan (STOC 2014), are the most widely used method for establishing lower bounds on the sample complexity or error of approximately differentially private (DP) algorithms.…

密码学与安全 · 计算机科学 2024-07-08 Naty Peter , Eliad Tsfadia , Jonathan Ullman

It is known that the dual of the general adversary bound can be used to build quantum query algorithms with optimal complexity. Despite this result, not many quantum algorithms have been designed this way. This paper shows another example…

量子物理 · 物理学 2011-08-16 Aleksandrs Belovs , Troy Lee

Machine learning models trained with differentially-private (DP) algorithms such as DP-SGD enjoy resilience against a wide range of privacy attacks. Although it is possible to derive bounds for some attacks based solely on an…

密码学与安全 · 计算机科学 2024-02-23 Giovanni Cherubin , Boris Köpf , Andrew Paverd , Shruti Tople , Lukas Wutschitz , Santiago Zanella-Béguelin

Individual Differential Privacy (iDP) promises users control over their privacy, but this promise can be broken in practice. We reveal a previously overlooked vulnerability in sampling-based iDP mechanisms: while conforming to the iDP…

密码学与安全 · 计算机科学 2026-01-21 Johannes Kaiser , Alexander Ziller , Eleni Triantafillou , Daniel Rückert , Georgios Kaissis

When applying outlier detection in settings where data is sensitive, mechanisms which guarantee the privacy of the underlying data are needed. The $k$-nearest neighbors ($k$-NN) algorithm is a simple and one of the most effective methods…

机器学习 · 计算机科学 2021-04-19 Jens Rauch , Iyiola E. Olatunji , Megha Khosla
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