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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

The shuffle model of differential privacy (Erlingsson et al. SODA 2019; Cheu et al. EUROCRYPT 2019) and its close relative encode-shuffle-analyze (Bittau et al. SOSP 2017) provide a fertile middle ground between the well-known local and…

Cryptography and Security · Computer Science 2022-12-20 Borja Balle , James Bell , Adria Gascon , Kobbi Nissim

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

We obtain a new protocol for binary counting in the $\varepsilon$-shuffle-DP model with error $O(1/\varepsilon)$ and expected communication $\tilde{O}\left(\frac{\log n}{\varepsilon}\right)$ messages per user. Previous protocols incur…

Data Structures and Algorithms · Computer Science 2023-05-30 Badih Ghazi , Ravi Kumar , Pasin Manurangsi

An exciting new development in differential privacy is the shuffled model, in which an anonymous channel enables non-interactive, differentially private protocols with error much smaller than what is possible in the local model, while…

Cryptography and Security · Computer Science 2020-05-20 Badih Ghazi , Noah Golowich , Ravi Kumar , Rasmus Pagh , Ameya Velingker

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

The shuffled (aka anonymous) model has recently generated significant interest as a candidate distributed privacy framework with trust assumptions better than the central model but with achievable errors smaller than the local model. We…

Cryptography and Security · Computer Science 2020-02-06 Badih Ghazi , Noah Golowich , Ravi Kumar , Pasin Manurangsi , Rasmus Pagh , Ameya Velingker

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

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

Shuffle DP (Differential Privacy) protocols provide high accuracy and privacy by introducing a shuffler who randomly shuffles data in a distributed system. However, most shuffle DP protocols are vulnerable to two attacks: collusion attacks…

Cryptography and Security · Computer Science 2025-09-03 Takao Murakami , Yuichi Sei , Reo Eriguchi

Recent work in differential privacy has explored the prospect of combining local randomization with a secure intermediary. Specifically, there are a variety of protocols in the secure shuffle model (where an intermediary randomly permutes…

Cryptography and Security · Computer Science 2021-12-28 Albert Cheu , Chao Yan

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

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

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

The shuffle model of differential privacy (DP) offers compelling privacy-utility trade-offs in decentralized settings (e.g., internet of things, mobile edge networks). Particularly, the multi-message shuffle model, where each user may…

Cryptography and Security · Computer Science 2024-12-31 Shaowei Wang , Hongqiao Chen , Sufen Zeng , Ruilin Yang , Hui Jiang , Peigen Ye , Kaiqi Yu , Rundong Mei , Shaozheng Huang , Wei Yang , Bangzhou Xin

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

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

Differential privacy (DP) is a formal notion for quantifying the privacy loss of algorithms. Algorithms in the central model of DP achieve high accuracy but make the strongest trust assumptions whereas those in the local DP model make the…

Cryptography and Security · Computer Science 2021-06-09 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Rasmus Pagh

We introduce the concurrent shuffle model of differential privacy. In this model we have multiple concurrent shufflers permuting messages from different, possibly overlapping, batches of users. Similarly to the standard (single) shuffle…

Machine Learning · Computer Science 2023-01-31 Jay Tenenbaum , Haim Kaplan , Yishay Mansour , Uri Stemmer
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