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Shuffling is a powerful way to amplify privacy of a local randomizer in private distributed data analysis. Most existing analyses of how shuffling amplifies privacy are based on the pure local differential privacy (DP) parameter…

Data Structures and Algorithms · Computer Science 2026-03-03 Shun Takagi , Seng Pei Liew

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional DP formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world…

Cryptography and Security · Computer Science 2023-05-18 Syomantak Chaudhuri , Thomas A. Courtade

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

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

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

We study Gaussian mechanism in the shuffle model of differential privacy (DP). Particularly, we characterize the mechanism's R\'enyi differential privacy (RDP), showing that it is of the form: $$ \epsilon(\lambda) \leq…

Cryptography and Security · Computer Science 2023-07-05 Seng Pei Liew , Tsubasa Takahashi

A standing challenge in data privacy is the trade-off between the level of privacy and the efficiency of statistical inference. Here we conduct an in-depth study of this trade-off for parameter estimation in the $\beta$-model (Chatterjee,…

Statistics Theory · Mathematics 2024-06-05 Jinyuan Chang , Qiao Hu , Eric D. Kolaczyk , Qiwei Yao , Fengting Yi

Sketches are widely used for frequency estimation of data with a large domain. However, sketches-based frequency estimation faces more challenges when considering privacy. Local differential privacy (LDP) is a solution to frequency…

Cryptography and Security · Computer Science 2022-11-22 Meifan Zhang , Sixin Lin , Lihua Yin

Estimating the second frequency moment $F_2$ of a data stream up to a $(1 \pm \varepsilon)$ factor is a central problem in the streaming literature. For errors $\varepsilon > \Omega(1/\sqrt{n})$, the tight bound…

Data Structures and Algorithms · Computer Science 2025-09-10 Naomi Green-Maimon , Or Zamir

Given a dataset of $n$ user-contributed strings, each of length at most $\ell$, a key problem is how to identify all frequent substrings while preserving each user's privacy. Recent work by Bernardini et al. (PODS'25) introduced a…

Data Structures and Algorithms · Computer Science 2026-03-11 Peaker Guo , Rayne Holland , Hao Wu

ldp deployments are vulnerable to inference attacks as an adversary can link the noisy responses to their identity and subsequently, auxiliary information using the order of the data. An alternative model, shuffle DP, prevents this by…

Machine Learning · Computer Science 2021-10-18 Casey Meehan , Amrita Roy Chowdhury , Kamalika Chaudhuri , Somesh Jha

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

Motivated by recent developments in the shuffle model of differential privacy, we propose a new approximate shuffling functionality called Alternating Shuffle, and provide a protocol implementing alternating shuffling in a single-server…

Cryptography and Security · Computer Science 2023-09-08 Borja Balle , James Bell , Adrià Gascón

The shuffle model of differential privacy has gained significant interest as an intermediate trust model between the standard local and central models [EFMRTT19; CSUZZ19]. A key result in this model is that randomly shuffling locally…

Cryptography and Security · Computer Science 2023-11-01 Vitaly Feldman , Audra McMillan , Kunal Talwar

The sliding window model of computation captures scenarios in which data are continually arriving in the form of a stream, and only the most recent $w$ items are used for analysis. In this setting, an algorithm needs to accurately track…

Cryptography and Security · Computer Science 2024-06-13 Yiping Wang , Yanhao Wang , Cen Chen

The central question studied in this paper is Renyi Differential Privacy (RDP) guarantees for general discrete local mechanisms in the shuffle privacy model. In the shuffle model, each of the $n$ clients randomizes its response using a…

Cryptography and Security · Computer Science 2021-05-12 Antonious M. Girgis , Deepesh Data , Suhas Diggavi , Ananda Theertha Suresh , Peter Kairouz

We study a setting of collecting and learning from private data distributed across end users. In the shuffled model of differential privacy, the end users partially protect their data locally before sharing it, and their data is also…

Machine Learning · Computer Science 2025-02-21 Tal Wagner

The distinct elements problem is one of the fundamental problems in streaming algorithms --- given a stream of integers in the range $\{1,\ldots,n\}$, we wish to provide a $(1+\varepsilon)$ approximation to the number of distinct elements…

Data Structures and Algorithms · Computer Science 2019-01-07 Jarosław Błasiok

The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to decide whether the Hamming distance between their $n$-bit…

Computational Complexity · Computer Science 2009-02-17 Joshua Brody , Amit Chakrabarti

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