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Federated Learning (FL) solutions with central Differential Privacy (DP) have seen large improvements in their utility in recent years arising from the matrix mechanism, while FL solutions with distributed (more private) DP have lagged…

Cryptography and Security · Computer Science 2025-06-18 Alexander Bienstock , Ujjwal Kumar , Antigoni Polychroniadou

We present principles of algebraic diversity (AD), a group-theoretic approach to signal processing exploiting signal symmetry to extract more information per observation, complementing classical methods that use temporal and spatial…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Mitchell A. Thornton

In recent years, privacy and security concerns in machine learning have promoted trusted federated learning to the forefront of research. Differential privacy has emerged as the de facto standard for privacy protection in federated learning…

Cryptography and Security · Computer Science 2025-10-03 Jie Fu , Yuan Hong , Xinpeng Ling , Leixia Wang , Xun Ran , Zhiyu Sun , Wendy Hui Wang , Zhili Chen , Yang Cao

In this work we describe the High-Dimensional Matrix Mechanism (HDMM), a differentially private algorithm for answering a workload of predicate counting queries. HDMM represents query workloads using a compact implicit matrix representation…

Databases · Computer Science 2021-06-24 Ryan McKenna , Gerome Miklau , Michael Hay , Ashwin Machanavajjhala

Motivated by the increasing deployment of reinforcement learning in the real world, involving a large consumption of personal data, we introduce a differentially private (DP) policy gradient algorithm. We show that, in this setting, the…

Machine Learning · Computer Science 2025-02-03 Alexandre Rio , Merwan Barlier , Igor Colin

We design a new algorithm for the Euclidean $k$-means problem that operates in the local model of differential privacy. Unlike in the non-private literature, differentially private algorithms for the $k$-means objective incur both additive…

Machine Learning · Computer Science 2021-06-29 Uri Stemmer

Differentially private (DP) language model inference is an approach for generating private synthetic text. A sensitive input example is used to prompt an off-the-shelf large language model (LLM) to produce a similar example. Multiple…

Machine Learning · Computer Science 2025-06-06 Kareem Amin , Salman Avestimehr , Sara Babakniya , Alex Bie , Weiwei Kong , Natalia Ponomareva , Umar Syed

This monograph explores the design and analysis of correlated noise mechanisms for differential privacy (DP), focusing on their application to private training of AI and machine learning models via the core primitive of estimation of…

We consider training models on private data that are distributed across user devices. To ensure privacy, we add on-device noise and use secure aggregation so that only the noisy sum is revealed to the server. We present a comprehensive…

Machine Learning · Computer Science 2022-09-12 Peter Kairouz , Ziyu Liu , Thomas Steinke

The iterative nature of the expectation maximization (EM) algorithm presents a challenge for privacy-preserving estimation, as each iteration increases the amount of noise needed. We propose a practical private EM algorithm that overcomes…

Machine Learning · Computer Science 2016-11-01 Mijung Park , Jimmy Foulds , Kamalika Chaudhuri , Max Welling

This paper is the first to attempt differentially private (DP) topological data analysis (TDA), producing near-optimal private persistence diagrams. We analyze the sensitivity of persistence diagrams in terms of the bottleneck distance, and…

Machine Learning · Statistics 2023-11-06 Taegyu Kang , Sehwan Kim , Jinwon Sohn , Jordan Awan

We revisit the task of computing the span of the top $r$ singular vectors $u_1, \ldots, u_r$ of a matrix under differential privacy. We show that a simple and efficient algorithm -- based on singular value decomposition and standard…

Machine Learning · Computer Science 2025-10-31 Tommaso d'Orsi , Gleb Novikov

Composition is a key feature of differential privacy. Well-known advanced composition theorems allow one to query a private database quadratically more times than basic privacy composition would permit. However, these results require that…

Machine Learning · Computer Science 2023-10-25 Justin Whitehouse , Aaditya Ramdas , Ryan Rogers , Zhiwei Steven Wu

This paper proposes a locally differentially private federated learning algorithm for strongly convex but possibly nonsmooth problems that protects the gradients of each worker against an honest but curious server. The proposed algorithm…

Machine Learning · Computer Science 2023-08-03 Jiaojiao Zhang , Dominik Fay , Mikael Johansson

We study spectral graph clustering under edge differential privacy. We propose a matrix shuffling mechanism that combines randomized edge flipping with a random permutation of the adjacency matrix. While edge flipping alone provides only a…

Information Theory · Computer Science 2026-05-12 Antti Koskela , Mohamed Seif , H. Vincent Poor , Andrea J. Goldsmith

We introduce the notion of restricted sensitivity as an alternative to global and smooth sensitivity to improve accuracy in differentially private data analysis. The definition of restricted sensitivity is similar to that of global…

Cryptography and Security · Computer Science 2013-02-04 Jeremiah Blocki , Avrim Blum , Anupam Datta , Or Sheffet

We study differentially private (DP) machine learning algorithms as instances of noisy fixed-point iterations, in order to derive privacy and utility results from this well-studied framework. We show that this new perspective recovers…

Machine Learning · Computer Science 2023-07-13 Edwige Cyffers , Aurélien Bellet , Debabrota Basu

Differential privacy is the de-facto privacy standard in data analysis. The classic model of differential privacy considers the data to be static. The dynamic setting, called differential privacy under continual observation, captures many…

Data Structures and Algorithms · Computer Science 2023-06-21 Monika Henzinger , A. R. Sricharan , Teresa Anna Steiner

Federated learning (FL), a novel branch of distributed machine learning (ML), develops global models through a private procedure without direct access to local datasets. However, it is still possible to access the model updates (gradient…

Machine Learning · Computer Science 2024-06-27 Mahtab Talaei , Iman Izadi

Differential privacy has become the dominant standard in the research community for strong privacy protection. There has been a flood of research into query answering algorithms that meet this standard. Algorithms are becoming increasingly…

Databases · Computer Science 2015-12-16 Michael Hay , Ashwin Machanavajjhala , Gerome Miklau , Yan Chen , Dan Zhang
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