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We revisit one of the most basic and widely applicable techniques in the literature of differential privacy - the sparse vector technique [Dwork et al., STOC 2009]. This simple algorithm privately tests whether the value of a given query on…

Machine Learning · Computer Science 2020-11-17 Haim Kaplan , Yishay Mansour , Uri Stemmer

The Sparse Vector Technique (SVT) is a fundamental technique for satisfying differential privacy and has the unique quality that one can output some query answers without apparently paying any privacy cost. SVT has been used in both the…

Cryptography and Security · Computer Science 2016-09-20 Min Lyu , Dong Su , Ninghui Li

The Sparse Vector Technique (SVT) is one of the most fundamental tools in differential privacy (DP). It works as a backbone for adaptive data analysis by answering a sequence of queries on a given dataset, and gleaning useful information in…

Cryptography and Security · Computer Science 2026-05-06 Yuhan Liu , Sheng Wang , Yixuan Liu , Feifei Li , Hong Chen

Differentially Private algorithms often need to select the best amongst many candidate options. Classical works on this selection problem require that the candidates' goodness, measured as a real-valued score function, does not change by…

Data Structures and Algorithms · Computer Science 2018-11-21 Jingcheng Liu , Kunal Talwar

Noisy Max and Sparse Vector are selection algorithms for differential privacy and serve as building blocks for more complex algorithms. In this paper we show that both algorithms can release additional information for free (i.e., at no…

Machine Learning · Computer Science 2019-09-17 Zeyu Ding , Yuxin Wang , Danfeng Zhang , Daniel Kifer

In this work we consider the problem of differentially private computation of quantiles for the data, especially the highest quantiles such as maximum, but with an unbounded range for the dataset. We show that this can be done efficiently…

Data Structures and Algorithms · Computer Science 2023-10-17 David Durfee

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure…

Machine Learning · Statistics 2017-04-11 Joonas Jälkö , Onur Dikmen , Antti Honkela

When working with user data providing well-defined privacy guarantees is paramount. In this work, we aim to manipulate and share an entire sparse dataset with a third party privately. In fact, differential privacy has emerged as the gold…

Cryptography and Security · Computer Science 2024-05-16 Alessandro Epasto , Hossein Esfandiari , Vahab Mirrokni , Andres Munoz Medina

Privately counting distinct elements in a stream is a fundamental data analysis problem with many applications in machine learning. In the turnstile model, Jain et al. [NeurIPS2023] initiated the study of this problem parameterized by the…

Data Structures and Algorithms · Computer Science 2024-08-22 Monika Henzinger , A. R. Sricharan , Teresa Anna Steiner

Report Noisy Max and Above Threshold are two classical differentially private (DP) selection mechanisms. Their output is obtained by adding noise to a sequence of low-sensitivity queries and reporting the identity of the query whose (noisy)…

Machine Learning · Computer Science 2024-03-22 Jonathan Lebensold , Doina Precup , Borja Balle

We present a differentially private mechanism to display statistics (e.g., the moving average) of a stream of real valued observations where the bound on each observation is either too conservative or unknown in advance. This is…

Cryptography and Security · Computer Science 2018-11-09 Victor Perrier , Hassan Jameel Asghar , Dali Kaafar

Vector mean estimation is a central primitive in federated analytics. In vector mean estimation, each user $i \in [n]$ holds a real-valued vector $v_i\in [-1, 1]^d$, and a server wants to estimate the mean of all $n$ vectors. Not only so,…

Cryptography and Security · Computer Science 2022-03-01 Mingxun Zhou , Tianhao Wang , T-H. Hubert Chan , Giulia Fanti , Elaine Shi

Sparse histogram methods can be useful for returning differentially private counts of items in large or infinite histograms, large group-by queries, and more generally, releasing a set of statistics with sufficient item counts. We consider…

Cryptography and Security · Computer Science 2022-02-03 Brian Karrer , Daniel Kifer , Arjun Wilkins , Danfeng Zhang

In this work, we propose a differentially private algorithm for publishing matrices aggregated from sparse vectors. These matrices include social network adjacency matrices, user-item interaction matrices in recommendation systems, and…

Cryptography and Security · Computer Science 2025-06-26 Quentin Hillebrand , Vorapong Suppakitpaisarn , Tetsuo Shibuya

We provide a new algorithmic framework for differentially private estimation of general functions that adapts to the hardness of the underlying dataset. We build upon previous work that gives a paradigm for selecting an output through the…

Data Structures and Algorithms · Computer Science 2023-11-28 David Durfee

In this paper, we consider the problem of responding to a count query (or any other integer-valued queries) evaluated on a dataset containing sensitive attributes. To protect the privacy of individuals in the dataset, a standard practice is…

Information Theory · Computer Science 2020-07-21 Parastoo Sadeghi , Shahab Asoodeh , Flavio du Pin Calmon

Private selection algorithms, such as the Exponential Mechanism, Noisy Max and Sparse Vector, are used to select items (such as queries with large answers) from a set of candidates, while controlling privacy leakage in the underlying data.…

Databases · Computer Science 2020-12-04 Zeyu Ding , Yuxin Wang , Yingtai Xiao , Guanhong Wang , Danfeng Zhang , Daniel Kifer

Differential privacy is a rigorous definition for privacy that guarantees that any analysis performed on a sensitive dataset leaks no information about the individuals whose data are contained therein. In this work, we develop new…

Cryptography and Security · Computer Science 2021-11-18 Vassilis Digalakis , George N. Karystinos , Minos N. Garofalakis

Modern society generates an incredible amount of data about individuals, and releasing summary statistics about this data in a manner that provably protects individual privacy would offer a valuable resource for researchers in many fields.…

Cryptography and Security · Computer Science 2018-02-21 Zachary Campbell , Andrew Bray , Anna Ritz , Adam Groce

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…

Data Structures and Algorithms · Computer Science 2017-04-12 Thomas Steinke , Jonathan Ullman
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