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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 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

Amplification by subsampling is one of the main primitives in machine learning with differential privacy (DP): Training a model on random batches instead of complete datasets results in stronger privacy. This is traditionally formalized via…

Cryptography and Security · Computer Science 2024-11-04 Jan Schuchardt , Mihail Stoian , Arthur Kosmala , Stephan Günnemann

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

Although distributed Gaussian process regression (GPR) enables multiple agents with separate datasets to jointly learn a model of the target function, its collaborative nature poses risks of private data leakage. To address this, we propose…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Yeongjun Jang , Kaoru Teranishi , Jihoon Suh , Takashi Tanaka

The Gaussian Mechanism (GM), which consists in adding Gaussian noise to a vector-valued query before releasing it, is a standard privacy protection mechanism. In particular, given that the query respects some L2 sensitivity property (the L2…

Machine Learning · Computer Science 2024-03-20 Hadrien Hendrikx , Paul Mangold , Aurélien Bellet

Federated analytics seeks to compute accurate statistics from data distributed across users' devices while providing a suitable privacy guarantee and being practically feasible to implement and scale. In this paper, we show how a strong…

Cryptography and Security · Computer Science 2022-03-10 Akash Bharadwaj , Graham Cormode

We provide a detailed study of the estimation of probability distributions---discrete and continuous---in a stringent setting in which data is kept private even from the statistician. We give sharp minimax rates of convergence for…

Statistics Theory · Mathematics 2013-05-28 John C. Duchi , Michael I. Jordan , Martin J. Wainwright

Federated Learning, as a popular paradigm for collaborative training, is vulnerable against privacy attacks. Different privacy levels regarding users' attitudes need to be satisfied locally, while a strict privacy guarantee for the global…

Cryptography and Security · Computer Science 2023-05-29 Yixuan Liu , Suyun Zhao , Li Xiong , Yuhan Liu , Hong Chen

Differential privacy has seen remarkable success as a rigorous and practical formalization of data privacy in the past decade. This privacy definition and its divergence based relaxations, however, have several acknowledged weaknesses,…

Machine Learning · Computer Science 2019-06-03 Jinshuo Dong , Aaron Roth , Weijie J. Su

Differential privacy is often studied in one of two models. In the central model, a single analyzer has the responsibility of performing a privacy-preserving computation on data. But in the local model, each data owner ensures their own…

Cryptography and Security · Computer Science 2022-05-26 Albert Cheu

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in $k$ steps chosen randomly and uniformly from a sequence (or set) of $t$ steps. This sampling scheme has been recently applied in the…

Machine Learning · Computer Science 2026-02-20 Vitaly Feldman , Moshe Shenfeld

Gaussian process regression (GPR) is a non-parametric model that has been used in many real-world applications that involve sensitive personal data (e.g., healthcare, finance, etc.) from multiple data owners. To fully and securely exploit…

Cryptography and Security · Computer Science 2023-06-27 Jinglong Luo , Yehong Zhang , Jiaqi Zhang , Shuang Qin , Hui Wang , Yue Yu , Zenglin Xu

This paper studies how to approximate pufferfish privacy when the adversary's prior belief of the published data is Gaussian distributed. Using Monge's optimal transport plan, we show that $(\epsilon, \delta)$-pufferfish privacy is attained…

Information Theory · Computer Science 2024-05-08 Ni Ding

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

Current practices for reporting the level of differential privacy (DP) protection for machine learning (ML) algorithms such as DP-SGD provide an incomplete and potentially misleading picture of the privacy guarantees. For instance, if only…

Machine Learning · Computer Science 2025-10-03 Juan Felipe Gomez , Bogdan Kulynych , Georgios Kaissis , Flavio P. Calmon , Jamie Hayes , Borja Balle , Antti Honkela

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

The standard closed form lower bound on $\sigma$ for providing $(\epsilon, \delta)$-differential privacy by adding zero mean Gaussian noise with variance $\sigma^2$ is $\sigma > \Delta\sqrt {2}(\epsilon^{-1}) \sqrt {\log \left(…

Cryptography and Security · Computer Science 2021-01-22 Staal A. Vinterbo

Individual privacy accounting enables bounding differential privacy (DP) loss individually for each participant involved in the analysis. This can be informative as often the individual privacy losses are considerably smaller than those…

Cryptography and Security · Computer Science 2023-08-25 Antti Koskela , Marlon Tobaben , Antti Honkela

Based on binary inquiries, we developed an algorithm to estimate population quantiles under Local Differential Privacy (LDP). By self-normalizing, our algorithm provides asymptotically normal estimation with valid inference, resulting in…

Methodology · Statistics 2023-08-08 Yi Liu , Qirui Hu , Lei Ding , Bei Jiang , Linglong Kong