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Mean estimation under differential privacy is a fundamental problem, but worst-case optimal mechanisms do not offer meaningful utility guarantees in practice when the global sensitivity is very large. Instead, various heuristics have been…

Cryptography and Security · Computer Science 2021-11-02 Ziyue Huang , Yuting Liang , Ke Yi

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

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 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

In this paper, we introduce the imperfect shuffle differential privacy model, where messages sent from users are shuffled in an almost uniform manner before being observed by a curator for private aggregation. We then consider the private…

Cryptography and Security · Computer Science 2023-08-29 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson , Samson Zhou

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

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

We develop two notions of instance optimality in differential privacy, inspired by classical statistical theory: one by defining a local minimax risk and the other by considering unbiased mechanisms and analogizing the Cramer-Rao bound, and…

Cryptography and Security · Computer Science 2020-05-22 Hilal Asi , John C. Duchi

Training differentially private machine learning models requires constraining an individual's contribution to the optimization process. This is achieved by clipping the $2$-norm of their gradient at a predetermined threshold prior to…

Machine Learning · Computer Science 2024-01-09 Filippo Galli , Catuscia Palamidessi , Tommaso Cucinotta

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

In shuffle privacy, each user sends a collection of randomized messages to a trusted shuffler, the shuffler randomly permutes these messages, and the resulting shuffled collection of messages must satisfy differential privacy. Prior work in…

Machine Learning · Computer Science 2022-03-15 Albert Cheu , Matthew Joseph , Jieming Mao , Binghui Peng

The simplest and most widely applied method for guaranteeing differential privacy is to add instance-independent noise to a statistic of interest that is scaled to its global sensitivity. However, global sensitivity is a worst-case notion…

Statistics Theory · Mathematics 2019-06-10 Mark Bun , Thomas Steinke

Voting plays a central role in bringing crowd wisdom to collective decision making, meanwhile data privacy has been a common ethical/legal issue in eliciting preferences from individuals. This work studies the problem of aggregating…

Cryptography and Security · Computer Science 2019-08-15 Shaowei Wang , Jiachun Du , Wei Yang , Xinrong Diao , Zichun Liu , Yiwen Nie , Liusheng Huang , Hongli Xu

Subgraph counting is fundamental for analyzing connection patterns or clustering tendencies in graph data. Recent studies have applied LDP (Local Differential Privacy) to subgraph counting to protect user privacy even against a data…

Cryptography and Security · Computer Science 2022-08-29 Jacob Imola , Takao Murakami , Kamalika Chaudhuri

We adapt the canonical Laplace mechanism, widely used in differentially private data analysis, to achieve near instance optimality with respect to the hardness of the underlying dataset. In particular, we construct a piecewise Laplace…

Data Structures and Algorithms · Computer Science 2025-05-06 David Durfee

We revisit the problem of releasing the sample mean of bounded samples in a dataset, privately, under user-level $\varepsilon$-differential privacy (DP). We aim to derive the optimal method of preprocessing data samples, within a canonical…

Information Theory · Computer Science 2026-01-12 V. Arvind Rameshwar , Anshoo Tandon

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

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

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

We present a protocol in the shuffle model of differential privacy (DP) for the \textit{frequency estimation} problem that achieves error $\omega(1)\cdot O(\log n)$, almost matching the central-DP accuracy, with $1+o(1)$ messages per user.…

Cryptography and Security · Computer Science 2022-11-23 Qiyao Luo , Yilei Wang , Ke Yi
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