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Composition is one of the most important properties of differential privacy (DP), as it allows algorithm designers to build complex private algorithms from DP primitives. We consider precise composition bounds of the overall privacy loss…

Cryptography and Security · Computer Science 2020-06-26 Jinshuo Dong , David Durfee , Ryan Rogers

We present new differentially private algorithms for learning a large-margin halfspace. In contrast to previous algorithms, which are based on either differentially private simulations of the statistical query model or on private convex…

Machine Learning · Computer Science 2020-02-25 Huy L. Nguyen , Jonathan Ullman , Lydia Zakynthinou

Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is just starting to be explored. We consider the problem of estimating a discrete distribution in total variation…

Statistics Theory · Mathematics 2022-04-21 Julien Chhor , Flore Sentenac

There are numerous methods of achieving $\epsilon$-differential privacy (DP). The question is what is the appropriate value of $\epsilon$, since there is no common agreement on a "sufficiently small" $\epsilon$, and its goodness depends on…

Cryptography and Security · Computer Science 2019-12-02 Peeter Laud , Alisa Pankova

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

Label differential privacy (DP) is designed for learning problems involving private labels and public features. While various methods have been proposed for learning under label DP, the theoretical limits remain largely unexplored. In this…

Machine Learning · Computer Science 2025-03-04 Puning Zhao , Chuan Ma , Li Shen , Shaowei Wang , Rongfei Fan

Economics and social science research often require analyzing datasets of sensitive personal information at fine granularity, with models fit to small subsets of the data. Unfortunately, such fine-grained analysis can easily reveal…

Machine Learning · Computer Science 2020-07-13 Daniel Alabi , Audra McMillan , Jayshree Sarathy , Adam Smith , Salil Vadhan

Differential privacy guarantees allow the results of a statistical analysis involving sensitive data to be released without compromising the privacy of any individual taking part. Achieving such guarantees generally requires the injection…

Machine Learning · Statistics 2023-10-31 Jack Jewson , Sahra Ghalebikesabi , Chris Holmes

This study explores the robustness of learning by symmetric loss on private data. Specifically, we leverage exponential mechanism (EM) on private labels. First, we theoretically re-discussed properties of EM when it is used for private…

Cryptography and Security · Computer Science 2022-10-11 Jing Bi , Vorapong Suppakitpaisarn

In this paper we provide an algorithmic framework based on Langevin diffusion (LD) and its corresponding discretizations that allow us to simultaneously obtain: i) An algorithm for sampling from the exponential mechanism, whose privacy…

Machine Learning · Computer Science 2023-08-30 Arun Ganesh , Abhradeep Thakurta , Jalaj Upadhyay

Machine learning (ML) models have been shown to leak private information from their training datasets. Differential Privacy (DP), typically implemented through the differential private stochastic gradient descent algorithm (DP-SGD), has…

Machine Learning · Computer Science 2025-02-17 Dariush Wahdany , Matthew Jagielski , Adam Dziedzic , Franziska Boenisch

Privacy is crucial in many applications of machine learning. Legal, ethical and societal issues restrict the sharing of sensitive data making it difficult to learn from datasets that are partitioned between many parties. One important…

Machine Learning · Statistics 2018-09-21 Christina Heinze-Deml , Brian McWilliams , Nicolai Meinshausen

This paper establishes the strict optimality in precision for frequency and distribution estimation under local differential privacy (LDP). We prove that a linear estimator with a symmetric and extremal configuration, and a constant support…

Information Theory · Computer Science 2026-03-24 Mingen Pan

The problem of estimating a parameter in the drift coefficient is addressed for $N$ discretely observed independent and identically distributed stochastic differential equations (SDEs). This is done considering additional constraints,…

Statistics Theory · Mathematics 2024-10-17 Chiara Amorino , Arnaud Gloter , Hélène Halconruy

Distribution estimation under local differential privacy (LDP) is a fundamental and challenging task. Significant progresses have been made on categorical data. However, due to different evaluation metrics, these methods do not work well…

Machine Learning · Computer Science 2025-09-25 Puning Zhao , Zhikun Zhang , Bo Sun , Li Shen , Liang Zhang , Shaowei Wang , Zhe Liu

Differential privacy is a widely studied notion of privacy for various models of computation. Technically, it is based on measuring differences between probability distributions. We study $\epsilon,\delta$-differential privacy in the…

Formal Languages and Automata Theory · Computer Science 2020-07-16 Dmitry Chistikov , Andrzej S. Murawski , David Purser

Non-interactive Local Differential Privacy (LDP) requires data analysts to collect data from users through noisy channel at once. In this paper, we extend the frontiers of Non-interactive LDP learning and estimation from several aspects.…

Machine Learning · Computer Science 2017-06-13 Kai Zheng , Wenlong Mou , Liwei Wang

Differential privacy is a mathematical framework for privacy-preserving data analysis. Changing the hyperparameters of a differentially private algorithm allows one to trade off privacy and utility in a principled way. Quantifying this…

Machine Learning · Statistics 2020-07-23 Brendan Avent , Javier Gonzalez , Tom Diethe , Andrei Paleyes , Borja Balle

We study the problem of private distribution learning with access to public data. In this setup, which we refer to as public-private learning, the learner is given public and private samples drawn from an unknown distribution $p$ belonging…

Machine Learning · Computer Science 2023-08-16 Shai Ben-David , Alex Bie , Clément L. Canonne , Gautam Kamath , Vikrant Singhal

Differential privacy is achieved by the introduction of Laplacian noise in the response to a query, establishing a precise trade-off between the level of differential privacy and the accuracy of the database response (via the amount of…

Cryptography and Security · Computer Science 2015-10-06 Maurizio Naldi , Giuseppe D'Acquisto