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Developing a differentially private deep learning algorithm is challenging, due to the difficulty in analyzing the sensitivity of objective functions that are typically used to train deep neural networks. Many existing methods resort to the…

Machine Learning · Computer Science 2019-10-16 Frederik Harder , Jonas Köhler , Max Welling , Mijung Park

We examine the task of privacy amplification from information-theoretic and coding-theoretic points of view. In the former, we give a one-shot characterization of the optimal rate of privacy amplification against classical adversaries in…

Information Theory · Computer Science 2018-11-26 Joseph M. Renes

We consider the problem of differentially private query release through a synthetic database approach. Departing from the existing approaches that require the query set to be specified in advance, we advocate to devise query-set independent…

Cryptography and Security · Computer Science 2014-12-02 Weina Wang , Lei Ying , Junshan Zhang

Graph pattern matching is a routine process for a wide variety of applications such as social network analysis. It is typically defined in terms of subgraph isomorphism which is NP-Complete. To lower its complexity, many extensions of graph…

Databases · Computer Science 2018-04-13 Houari Mahfoud

In recent years it has become popular to study dynamic problems in a sensitivity setting: Instead of allowing for an arbitrary sequence of updates, the sensitivity model only allows to apply batch updates of small size to the original input…

Data Structures and Algorithms · Computer Science 2017-03-07 Monika Henzinger , Andrea Lincoln , Stefan Neumann , Virginia Vassilevska Williams

We study the privatization of distributed learning and optimization strategies. We focus on differential privacy schemes and study their effect on performance. We show that the popular additive random perturbation scheme degrades…

Machine Learning · Computer Science 2023-01-18 Elsa Rizk , Stefan Vlaski , Ali H. Sayed

Decentralized min-max optimization allows multi-agent systems to collaboratively solve global min-max optimization problems by facilitating the exchange of model updates among neighboring agents, eliminating the need for a central server.…

Machine Learning · Computer Science 2025-08-12 Yueyang Quan , Chang Wang , Shengjie Zhai , Minghong Fang , Zhuqing Liu

The privacy preserving properties of Langevin dynamics with additive isotropic noise have been extensively studied. However, the isotropic noise assumption is very restrictive: (a) when adding noise to existing learning algorithms to…

Machine Learning · Computer Science 2023-07-13 Anastasia Borovykh , Nikolas Kantas , Panos Parpas , Greg Pavliotis

Repeated use of a data sample via adaptively chosen queries can rapidly lead to overfitting, wherein the empirical evaluation of queries on the sample significantly deviates from their mean with respect to the underlying data distribution.…

Machine Learning · Computer Science 2024-04-26 Moshe Shenfeld , Katrina Ligett

This paper focuses on the privacy-preserving distributed estimation problem with a limited data rate, where the observations are the sensitive information. Specifically, a binary-valued quantizer-based privacy-preserving distributed…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Jieming Ke , Jimin Wang , Ji-Feng Zhang

We study $\left(\epsilon,\delta\right)$-differentially private algorithms for the problem of approximately computing the top singular vector of a matrix $A\in\mathbb{R}^{n\times d}$ where each row of $A$ is a data point in $\mathbb{R}^{d}$.…

Data Structures and Algorithms · Computer Science 2026-05-20 Ta Duy Nguyen , Alina Ene , Huy Le Nguyen

We study the space complexity of the two related fields of differential privacy and adaptive data analysis. Specifically, (1) Under standard cryptographic assumptions, we show that there exists a problem P that requires exponentially more…

Cryptography and Security · Computer Science 2023-02-14 Itai Dinur , Uri Stemmer , David P. Woodruff , Samson Zhou

A central challenge in machine learning is to understand how noise or measurement errors affect low-rank approximations, particularly in the spectral norm. This question is especially important in differentially private low-rank…

Machine Learning · Computer Science 2025-10-30 Phuc Tran , Nisheeth K. Vishnoi , Van H. Vu

Differential privacy (DP) has been applied in deep learning for preserving privacy of the underlying training sets. Existing DP practice falls into three categories - objective perturbation, gradient perturbation and output perturbation.…

Cryptography and Security · Computer Science 2022-04-28 Zhigang Lu , Hassan Jameel Asghar , Mohamed Ali Kaafar , Darren Webb , Peter Dickinson

Devising mechanisms with good beyond-worst-case input-dependent performance has been an important focus of differential privacy, with techniques such as smooth sensitivity, propose-test-release, or inverse sensitivity mechanism being…

Cryptography and Security · Computer Science 2024-04-24 Richard Hladík , Jakub Tětek

Perhaps the single most important use case for differential privacy is to privately answer numerical queries, which is usually achieved by adding noise to the answer vector. The central question, therefore, is to understand which noise…

Machine Learning · Statistics 2021-03-17 Jinshuo Dong , Weijie J. Su , Linjun Zhang

Given a graph $G$ defined in a domain $\mathcal{G}$, we investigate locally differentially private mechanisms to release a degree sequence on $\mathcal{G}$ that accurately approximates the actual degree distribution. Existing solutions for…

Cryptography and Security · Computer Science 2025-07-16 Xiaojian Zhang , Junqing Wang , Kerui Chen , Peiyuan Zhao , Huiyuan Bai

In this work, we study trade-offs between accuracy and privacy in the context of linear queries over histograms. This is a rich class of queries that includes contingency tables and range queries, and has been a focus of a long line of…

Data Structures and Algorithms · Computer Science 2013-08-05 Aleksandar Nikolov , Kunal Talwar , Li Zhang

The objective of privacy-preserving synthetic graph publishing is to safeguard individuals' privacy while retaining the utility of original data. Most existing methods focus on graph neural networks under differential privacy (DP), and yet…

Databases · Computer Science 2025-01-07 Sen Zhang , Haibo Hu , Qingqing Ye , Jianliang Xu

Computing matchings in graphs is a foundational algorithmic task. Despite extensive interest in differentially private (DP) graph analysis, work on privately computing matching solutions, rather than just their size, has been sparse. The…

Data Structures and Algorithms · Computer Science 2026-02-18 Michael Dinitz , George Z. Li , Quanquan C. Liu , Felix Zhou