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We study the setup where each of $n$ users holds an element from a discrete set, and the goal is to count the number of distinct elements across all users, under the constraint of $(\epsilon, \delta)$-differentially privacy: - In the…

Cryptography and Security · Computer Science 2020-09-22 Lijie Chen , Badih Ghazi , Ravi Kumar , Pasin Manurangsi

The shuffle model of differential privacy provides promising privacy-utility balances in decentralized, privacy-preserving data analysis. However, the current analyses of privacy amplification via shuffling lack both tightness and…

Cryptography and Security · Computer Science 2024-07-30 Shaowei Wang , Yun Peng , Jin Li , Zikai Wen , Zhipeng Li , Shiyu Yu , Di Wang , Wei Yang

The shuffle model enhances privacy by anonymizing users' reports through random permutation. This paper presents the first systematic study of the single-message shuffle model from an information-theoretic perspective. We analyze two…

Information Theory · Computer Science 2025-11-20 Pengcheng Su , Haibo Cheng , Ping Wang

Differentially private mechanisms achieving worst-case optimal error bounds (e.g., the classical Laplace mechanism) are well-studied in the literature. However, when typical data are far from the worst case, \emph{instance-specific} error…

Cryptography and Security · Computer Science 2024-09-02 Wei Dong , Qiyao Luo , Giulia Fanti , Elaine Shi , Ke Yi

In data-driven applications, preserving user privacy while enabling valuable computations remains a critical challenge. Technologies like differential privacy have been pivotal in addressing these concerns. The shuffle model of DP requires…

Cryptography and Security · Computer Science 2025-04-15 Shaowei Wang , Changyu Dong , Xiangfu Song , Jin Li , Zhili Zhou , Di Wang , Han Wu

Advances in communications, storage and computational technology allow significant quantities of data to be collected and processed by distributed devices. Combining the information from these endpoints can realize significant societal…

Cryptography and Security · Computer Science 2022-02-01 Mary Scott , Graham Cormode , Carsten Maple

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

There has been a recent wave of interest in intermediate trust models for differential privacy that eliminate the need for a fully trusted central data collector, but overcome the limitations of local differential privacy. This interest has…

Data Structures and Algorithms · Computer Science 2020-12-07 Albert Cheu , Jonathan Ullman

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

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 a protocol for distributed computation called shuffled check-in, which achieves strong privacy guarantees without requiring any further trust assumptions beyond a trusted shuffler. Unlike most existing work, shuffled check-in…

Machine Learning · Computer Science 2023-07-06 Seng Pei Liew , Satoshi Hasegawa , Tsubasa Takahashi

The shuffle model of local differential privacy is an advanced method of privacy amplification designed to enhance privacy protection with high utility. It achieves this by randomly shuffling sensitive data, making linking individual data…

Cryptography and Security · Computer Science 2024-03-04 E Chen , Yang Cao , Yifei Ge

We study differentially private distributed optimization under communication constraints. A server using SGD for optimization aggregates the client-side local gradients for model updates using distributed mean estimation (DME). We develop a…

Machine Learning · Computer Science 2023-02-23 Antonious M. Girgis , Suhas Diggavi

We study the problem of private vector mean estimation in the shuffle model of privacy where $n$ users each have a unit vector $v^{(i)} \in\mathbb{R}^d$. We propose a new multi-message protocol that achieves the optimal error using…

Data Structures and Algorithms · Computer Science 2024-04-26 Hilal Asi , Vitaly Feldman , Jelani Nelson , Huy L. Nguyen , Kunal Talwar , Samson Zhou

A protocol by Ishai et al.\ (FOCS 2006) showing how to implement distributed $n$-party summation from secure shuffling has regained relevance in the context of the recently proposed \emph{shuffle model} of differential privacy, as it allows…

Cryptography and Security · Computer Science 2019-09-26 Borja Balle , James Bell , Adria Gascon , Kobbi Nissim

We study $d$-dimensional unbiased mean estimation in the single-message shuffle model, where each user sends a single privatized message and the analyzer only observes the shuffled multiset of reports. While minimax-optimal mechanisms are…

Machine Learning · Computer Science 2026-05-01 Shun Takagi , Seng Pei Liew

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

Uniformity testing, or testing whether independent observations are uniformly distributed, is the prototypical question in distribution testing. Over the past years, a line of work has been focusing on uniformity testing under privacy…

Data Structures and Algorithms · Computer Science 2021-10-19 Clément L. Canonne , Hongyi Lyu

Ranking aggregation is commonly adopted in cooperative decision-making to assist in combining multiple rankings into a single representative. To protect the actual ranking of each individual, some privacy-preserving strategies, such as…

Cryptography and Security · Computer Science 2022-02-08 Baobao Song , Qiujun Lan , Yang Li , Gang Li

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