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In this work, we give efficient algorithms for privately estimating a Gaussian distribution in both pure and approximate differential privacy (DP) models with optimal dependence on the dimension in the sample complexity. In the pure DP…

Data Structures and Algorithms · Computer Science 2023-06-02 Daniel Alabi , Pravesh K. Kothari , Pranay Tankala , Prayaag Venkat , Fred Zhang

Given a dataset of $n$ i.i.d. samples from an unknown distribution $P$, we consider the problem of generating a sample from a distribution that is close to $P$ in total variation distance, under the constraint of differential privacy (DP).…

Data Structures and Algorithms · Computer Science 2023-06-23 Badih Ghazi , Xiao Hu , Ravi Kumar , Pasin Manurangsi

The exponential increase in the amount of available data makes taking advantage of them without violating users' privacy one of the fundamental problems of computer science. This question has been investigated thoroughly under the framework…

Data Structures and Algorithms · Computer Science 2023-07-19 Jakub Tětek

Differentially private algorithms for answering sets of predicate counting queries on a sensitive database have many applications. Organizations that collect individual-level data, such as statistical agencies and medical institutions, use…

Databases · Computer Science 2018-08-13 Ryan McKenna , Gerome Miklau , Michael Hay , Ashwin Machanavajjhala

We study the problem of estimating $k$-ary distributions under $\varepsilon$-local differential privacy. $n$ samples are distributed across users who send privatized versions of their sample to a central server. All previously known sample…

Machine Learning · Computer Science 2018-06-29 Jayadev Acharya , Ziteng Sun , Huanyu Zhang

The problem of counting subgraphs or graphlets under local differential privacy is an important challenge that has attracted significant attention from researchers. However, much of the existing work focuses on small graphlets like…

Social and Information Networks · Computer Science 2025-05-20 Vorapong Suppakitpaisarn , Donlapark Ponnoprat , Nicha Hirankarn , Quentin Hillebrand

We study the fundamental task of estimating the median of an underlying distribution from a finite number of samples, under pure differential privacy constraints. We focus on distributions satisfying the minimal assumption that they have a…

Statistics Theory · Mathematics 2020-11-13 Christos Tzamos , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Ilias Zadik

The literature on differential privacy almost invariably assumes that the data to be analyzed are fully observed. In most practical applications this is an unrealistic assumption. A popular strategy to address this problem is imputation, in…

Databases · Computer Science 2022-07-15 Soumojit Das , Jorg Drechsler , Keith Merrill , Shawn Merrill

The all-pairs shortest distances (APSD) with differential privacy (DP) problem takes as input an undirected, weighted graph $G = (V,E, \mathbf{w})$ and outputs a private estimate of the shortest distances in $G$ between all pairs of…

Data Structures and Algorithms · Computer Science 2024-07-16 Jesse Campbell , Chunjiang Zhu

This paper provides the first analysis of the differentially private computation of three centrality measures, namely eigenvector, Laplacian and closeness centralities, on arbitrary weighted graphs, using the smooth sensitivity approach. We…

Social and Information Networks · Computer Science 2021-08-17 Jesse Laeuchli , Yunior Ramírez-Cruz , Rolando Trujillo-Rasua

The *shuffle model* is a powerful tool to amplify the privacy guarantees of the *local model* of differential privacy. In contrast to the fully decentralized manner of guaranteeing privacy in the local model, the shuffle model requires a…

Cryptography and Security · Computer Science 2022-06-22 Hao Wu , Olga Ohrimenko , Anthony Wirth

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

The collection and analysis of user data drives improvements in the app and web ecosystems, but comes with risks to privacy. This paper examines discrete distribution estimation under local privacy, a setting wherein service providers can…

Machine Learning · Statistics 2016-06-16 Peter Kairouz , Keith Bonawitz , Daniel Ramage

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

Cryptography and Security · Computer Science 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

Suppose $L$ simultaneous independent stochastic systems generate observations, where the observations from each system depend on the underlying parameter of that system. The observations are unlabeled (anonymized), in the sense that an…

Signal Processing · Electrical Eng. & Systems 2022-09-01 Vikram Krishnamurthy

In this paper we revisit the classical problem of nonparametric regression, but impose local differential privacy constraints. Under such constraints, the raw data $(X_1,Y_1),\ldots,(X_n,Y_n)$, taking values in $\mathbb{R}^d \times…

Statistics Theory · Mathematics 2020-11-03 Thomas Berrett , László Györfi , Harro Walk

Differential privacy is the de-facto privacy standard in data analysis. The classic model of differential privacy considers the data to be static. The dynamic setting, called differential privacy under continual observation, captures many…

Data Structures and Algorithms · Computer Science 2023-06-21 Monika Henzinger , A. R. Sricharan , Teresa Anna Steiner

We consider the task of constructing confidence intervals with differential privacy. We propose two private variants of the non-parametric bootstrap, which privately compute the median of the results of multiple "little" bootstraps run on…

Machine Learning · Statistics 2024-06-05 Karan Chadha , John Duchi , Rohith Kuditipudi

We consider the problem of recovering latent information from graphs under $\varepsilon$-edge local differential privacy where the presence of relationships/edges between two users/vertices remains confidential, even from the data curator.…

Machine Learning · Computer Science 2025-04-25 Siddharth Vishwanath , Jonathan Hehir

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…

Machine Learning · Computer Science 2017-11-01 Jayadev Acharya , Ziteng Sun , Huanyu Zhang