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The shuffle model of DP (Differential Privacy) provides high utility by introducing a shuffler that randomly shuffles noisy data sent from users. However, recent studies show that existing shuffle protocols suffer from the following two…

Cryptography and Security · Computer Science 2025-04-11 Takao Murakami , Yuichi Sei , Reo Eriguchi

We study the problem of counting the number of distinct elements in a dataset subject to the constraint of differential privacy. We consider the challenging setting of person-level DP (a.k.a. user-level DP) where each person may contribute…

Data Structures and Algorithms · Computer Science 2023-10-30 Alexander Knop , Thomas Steinke

This work studies differential privacy in the context of the recently proposed shuffle model. Unlike in the local model, where the server collecting privatized data from users can track back an input to a specific user, in the shuffle model…

Machine Learning · Computer Science 2019-06-04 Borja Balle , James Bell , Adria Gascon , Kobbi Nissim

In recent work, Cheu et al. (Eurocrypt 2019) proposed a protocol for $n$-party real summation in the shuffle model of differential privacy with $O_{\epsilon, \delta}(1)$ error and $\Theta(\epsilon\sqrt{n})$ one-bit messages per party. In…

Cryptography and Security · Computer Science 2019-08-23 Borja Balle , James Bell , Adria Gascon , Kobbi Nissim

Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is just starting to be explored. We consider the problem of estimating a discrete distribution in total variation…

Statistics Theory · Mathematics 2022-04-21 Julien Chhor , Flore Sentenac

There has been much recent work in the shuffle model of differential privacy, particularly for approximate $d$-bin histograms. While these protocols achieve low error, the number of messages sent by each user -- the message complexity --…

Cryptography and Security · Computer Science 2021-08-09 Albert Cheu , Maxim Zhilyaev

We study person-level differentially private (DP) mean estimation in the case where each person holds multiple samples. DP here requires the usual notion of distributional stability when $\textit{all}$ of a person's datapoints can be…

Data Structures and Algorithms · Computer Science 2024-07-22 Sushant Agarwal , Gautam Kamath , Mahbod Majid , Argyris Mouzakis , Rose Silver , Jonathan Ullman

We study discrete distribution estimation under user-level local differential privacy (LDP). In user-level $\varepsilon$-LDP, each user has $m\ge1$ samples and the privacy of all $m$ samples must be preserved simultaneously. We resolve the…

Machine Learning · Computer Science 2022-11-08 Jayadev Acharya , Yuhan Liu , Ziteng Sun

The shuffle model of differential privacy has attracted attention in the literature due to it being a middle ground between the well-studied central and local models. In this work, we study the problem of summing (aggregating) real numbers…

Cryptography and Security · Computer Science 2021-09-28 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Rasmus Pagh , Amer Sinha

Given a collection of vectors $x^{(1)},\dots,x^{(n)} \in \{0,1\}^d$, the selection problem asks to report the index of an "approximately largest" entry in $x=\sum_{j=1}^n x^{(j)}$. Selection abstracts a host of problems--in machine learning…

Cryptography and Security · Computer Science 2023-06-09 Ivan Damgård , Hannah Keller , Boel Nelson , Claudio Orlandi , Rasmus Pagh

Shuffle model of differential privacy is a novel distributed privacy model based on a combination of local privacy mechanisms and a secure shuffler. It has been shown that the additional randomisation provided by the shuffler improves…

Cryptography and Security · Computer Science 2022-02-02 Antti Koskela , Mikko A. Heikkilä , Antti Honkela

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…

Cryptography and Security · Computer Science 2018-10-25 Mark Bun , Jonathan Ullman , Salil Vadhan

Privacy and communication constraints are two major bottlenecks in federated learning (FL) and analytics (FA). We study the optimal accuracy of mean and frequency estimation (canonical models for FL and FA respectively) under joint…

Machine Learning · Statistics 2023-04-05 Wei-Ning Chen , Dan Song , Ayfer Ozgur , Peter Kairouz

We consider the problem of designing scalable, robust protocols for computing statistics about sensitive data. Specifically, we look at how best to design differentially private protocols in a distributed setting, where each user holds a…

Cryptography and Security · Computer Science 2019-05-20 Albert Cheu , Adam Smith , Jonathan Ullman , David Zeber , Maxim Zhilyaev

Federated learning promises to make machine learning feasible on distributed, private datasets by implementing gradient descent using secure aggregation methods. The idea is to compute a global weight update without revealing the…

Machine Learning · Computer Science 2019-12-03 Badih Ghazi , Rasmus Pagh , Ameya Velingker

We study the problem of distributed distinct element estimation, where $\alpha$ servers each receive a subset of a universe $[n]$ and aim to compute a $(1+\varepsilon)$-approximation to the number of distinct elements using minimal…

Data Structures and Algorithms · Computer Science 2025-07-01 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas , David P. Woodruff , Samson Zhou

We study the problem of releasing the weights of all-pair shortest paths in a weighted undirected graph with differential privacy (DP). In this setting, the underlying graph is fixed and two graphs are neighbors if their edge weights differ…

Data Structures and Algorithms · Computer Science 2022-03-31 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson

Shuffler-based differential privacy (shuffle-DP) is a privacy paradigm providing high utility by involving a shuffler to permute noisy report from users. Existing shuffle-DP protocols mainly focus on the design of shuffler-based categorical…

Cryptography and Security · Computer Science 2026-03-06 Xiaoguang Li , Hanyi Wang , Yaowei Huang , Jungang Yang , Qingqing Ye , Haonan Yan , Ke Pan , Zhe Sun , Hui Li

We study the fundamental problem of frequency estimation under both privacy and communication constraints, where the data is distributed among $k$ parties. We consider two application scenarios: (1) one-shot, where the data is static and…

Cryptography and Security · Computer Science 2021-06-01 Ziyue Huang , Yuan Qiu , Ke Yi , Graham Cormode

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…