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Federated learning, in which training data is distributed among users and never shared, has emerged as a popular approach to privacy-preserving machine learning. Cryptographic techniques such as secure aggregation are used to aggregate…

Machine Learning · Computer Science 2022-03-08 Rasmus Pagh , Nina Mesing Stausholm

Being able to efficiently and accurately select the top-$k$ elements with differential privacy is an integral component of various private data analysis tasks. In this paper, we present the oneshot Laplace mechanism, which generalizes the…

Machine Learning · Computer Science 2021-06-24 Gang Qiao , Weijie J. Su , Li Zhang

Most differential privacy mechanisms are applied (i.e., composed) numerous times on sensitive data. We study the design of optimal differential privacy mechanisms in the limit of a large number of compositions. As a consequence of the law…

Cryptography and Security · Computer Science 2022-07-04 Wael Alghamdi , Shahab Asoodeh , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar , Fei Wei

Koufogiannis et al. (2016) showed a $\textit{gradual release}$ result for Laplace noise-based differentially private mechanisms: given an $\varepsilon$-DP release, a new release with privacy parameter $\varepsilon' > \varepsilon$ can be…

Cryptography and Security · Computer Science 2025-05-29 Joel Daniel Andersson , Lukas Retschmeier , Boel Nelson , Rasmus Pagh

Differential privacy provides the first theoretical foundation with provable privacy guarantee against adversaries with arbitrary prior knowledge. The main idea to achieve differential privacy is to inject random noise into statistical…

Data Structures and Algorithms · Computer Science 2011-11-01 Yang D. Li , Zhenjie Zhang , Marianne Winslett , Yin Yang

Differential privacy is a de facto privacy framework that has seen adoption in practice via a number of mature software platforms. Implementation of differentially private (DP) mechanisms has to be done carefully to ensure end-to-end…

Cryptography and Security · Computer Science 2024-09-12 Jiankai Jin , Eleanor McMurtry , Benjamin I. P. Rubinstein , Olga Ohrimenko

Differential privacy is a formal mathematical {stand-ard} for quantifying the degree of that individual privacy in a statistical database is preserved. To guarantee differential privacy, a typical method is adding random noise to the…

Information Theory · Computer Science 2017-03-08 Jianping He , Lin Cai

Data-dependent privacy accounting frameworks such as per-instance differential privacy (pDP) and Fisher information loss (FIL) confer fine-grained privacy guarantees for individuals in a fixed training dataset. These guarantees can be…

Cryptography and Security · Computer Science 2024-03-12 Shengyuan Hu , Saeed Mahloujifar , Virginia Smith , Kamalika Chaudhuri , Chuan Guo

Balancing privacy and accuracy is a major challenge in designing differentially private machine learning algorithms. One way to improve this tradeoff for free is to leverage the noise in common data operations that already use randomness.…

Machine Learning · Computer Science 2021-10-20 Jacob Imola , Kamalika Chaudhuri

We investigate the framework of privacy amplification by iteration, recently proposed by Feldman et al., from an information-theoretic lens. We demonstrate that differential privacy guarantees of iterative mappings can be determined by a…

Information Theory · Computer Science 2020-01-22 Shahab Asoodeh , Mario Diaz , Flavio P. Calmon

We present a framework for designing distorting mechanisms that allow remotely operating anomaly detectors while preserving privacy. We consider the problem setting in which a remote station seeks to identify anomalies using system…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

We propose a novel theoretical and methodological framework for Gaussian process regression subject to privacy constraints. The proposed method can be used when a data owner is unwilling to share a high-fidelity supervised learning model…

Machine Learning · Computer Science 2025-10-14 Rui Tuo , Haoyuan Chen , Raktim Bhattacharya

When querying databases containing sensitive information, the privacy of individuals stored in the database has to be guaranteed. Such guarantees are provided by differentially private mechanisms which add controlled noise to the query…

Databases · Computer Science 2020-08-26 William Lee Croft , Jörg-Rüdiger Sack , Wei Shi

In the literature of data privacy, differential privacy is the most popular model. An algorithm is differentially private if its outputs with and without any individual's data are indistinguishable. In this paper, we focus on data generated…

Cryptography and Security · Computer Science 2022-06-24 Darshan Chakrabarti , Jie Gao , Aditya Saraf , Grant Schoenebeck , Fang-Yi Yu

We derive the optimal $\epsilon$-differentially private mechanism for single real-valued query function under a very general utility-maximization (or cost-minimization) framework. The class of noise probability distributions in the optimal…

Cryptography and Security · Computer Science 2013-10-31 Quan Geng , Pramod Viswanath

The calibration of noise for a privacy-preserving mechanism depends on the sensitivity of the query and the prescribed privacy level. A data steward must make the non-trivial choice of a privacy level that balances the requirements of users…

Cryptography and Security · Computer Science 2020-04-15 Ashish Dandekar , Debabrota Basu , Stephane Bressan

The Horvitz-Thompson estimate of a total can be seen as as differentially private mechanism applied to this population total. We provide forumlae to compute the $\epsilon$ and $\delta$ parameter for this specific mecanism, coupled or not…

Statistics Theory · Mathematics 2025-06-18 Daniel Bernard Bonnéry , Julien Jamme

The Probably Approximately Correct (PAC) Privacy framework [46] provides a powerful instance-based methodology to preserve privacy in complex data-driven systems. Existing PAC Privacy algorithms (we call them Auto-PAC) rely on a Gaussian…

Cryptography and Security · Computer Science 2026-01-13 Tao Zhang , Yevgeniy Vorobeychik

In recent years, differential privacy has been adopted by tech-companies and governmental agencies as the standard for measuring privacy in algorithms. In this article, we study differential privacy in Bayesian posterior sampling settings.…

Statistics Theory · Mathematics 2026-02-13 Shenggang Hu , Louis Aslett , Hongsheng Dai , Murray Pollock , Gareth O. Roberts

Privacy-preserving average consensus aims to guarantee the privacy of initial states and asymptotic consensus on the exact average of the initial value. In existing work, it is achieved by adding and subtracting variance decaying and…

Systems and Control · Computer Science 2017-02-10 Jianping He , Lin Cai , Chengcheng Zhao , Peng Cheng , Xinping Guan