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We study the basic operation of set union in the global model of differential privacy. In this problem, we are given a universe $U$ of items, possibly of infinite size, and a database $D$ of users. Each user $i$ contributes a subset $W_i…

Cryptography and Security · Computer Science 2022-04-08 Sivakanth Gopi , Pankaj Gulhane , Janardhan Kulkarni , Judy Hanwen Shen , Milad Shokouhi , Sergey Yekhanin

In privacy under continual observation we study how to release differentially private estimates based on a dataset that evolves over time. The problem of releasing private prefix sums of $x_1,x_2,x_3,\dots \in\{0,1\}$ (where the value of…

Machine Learning · Computer Science 2024-01-17 Joel Daniel Andersson , Rasmus Pagh

In the differentially private partition selection problem (a.k.a. private set union, private key discovery), users hold subsets of items from an unbounded universe. The goal is to output as many items as possible from the union of the…

Data Structures and Algorithms · Computer Science 2025-08-12 Justin Y. Chen , Vincent Cohen-Addad , Alessandro Epasto , Morteza Zadimoghaddam

We study continual mean estimation, where data vectors arrive sequentially and the goal is to maintain accurate estimates of the running mean. We address this problem under user-level differential privacy, which protects each user's entire…

Machine Learning · Computer Science 2026-05-12 Nikita P. Kalinin , Ali Najar , Valentin Roth , Christoph H. Lampert

Motivated by recent applications requiring differential privacy over adaptive streams, we investigate the question of optimal instantiations of the matrix mechanism in this setting. We prove fundamental theoretical results on the…

Machine Learning · Computer Science 2023-01-19 Sergey Denisov , Brendan McMahan , Keith Rush , Adam Smith , Abhradeep Guha Thakurta

We introduce $\mathsf{PREM}$ (Private Relative Error Multiplicative weight update), a new framework for generating synthetic data that achieves a relative error guarantee for statistical queries under $(\varepsilon, \delta)$ differential…

Machine Learning · Computer Science 2025-02-21 Badih Ghazi , Cristóbal Guzmán , Pritish Kamath , Alexander Knop , Ravi Kumar , Pasin Manurangsi , Sushant Sachdeva

Decentralized optimization is gaining increased traction due to its widespread applications in large-scale machine learning and multi-agent systems. The same mechanism that enables its success, i.e., information sharing among participating…

Optimization and Control · Mathematics 2024-02-07 Yongqiang Wang , Angelia Nedic

We study private prediction where differential privacy is achieved by adding noise to the outputs of a non-private model. Existing methods rely on noise proportional to the global sensitivity of the model, often resulting in sub-optimal…

In differential privacy, $\textit{continual observation}$ refers to problems in which we wish to continuously release a function of a dataset that is revealed one element at a time. The challenge is to maintain a good approximation while…

Machine Learning · Computer Science 2025-03-07 Joel Daniel Andersson , Rasmus Pagh

Hierarchical clustering is a fundamental unsupervised machine learning task with the aim of organizing data into a hierarchy of clusters. Many applications of hierarchical clustering involve sensitive user information, therefore motivating…

Data Structures and Algorithms · Computer Science 2025-04-23 Chengyuan Deng , Jie Gao , Jalaj Upadhyay , Chen Wang , Samson Zhou

In this paper, an adjustment to the original differentially private stochastic gradient descent (DPSGD) algorithm for deep learning models is proposed. As a matter of motivation, to date, almost no state-of-the-art machine learning…

Machine Learning · Computer Science 2021-07-13 Mehdi Amian

In the task of differentially private (DP) continual counting, we receive a stream of increments and our goal is to output an approximate running total of these increments, without revealing too much about any specific increment. Despite…

Data Structures and Algorithms · Computer Science 2024-05-07 Krishnamurthy Dvijotham , H. Brendan McMahan , Krishna Pillutla , Thomas Steinke , Abhradeep Thakurta

Composition theorems are general and powerful tools that facilitate privacy accounting across multiple data accesses from per-access privacy bounds. However they often result in weaker bounds compared with end-to-end analysis. Two popular…

Cryptography and Security · Computer Science 2023-02-13 Edith Cohen , Xin Lyu , Jelani Nelson , Tamás Sarlós , Uri Stemmer

Differential privacy is the leading mathematical framework for privacy protection, providing a probabilistic guarantee that safeguards individuals' private information when publishing statistics from a dataset. This guarantee is achieved by…

Methodology · Statistics 2025-08-19 Yuki Ohnishi , Jordan Awan

Directed graphical models (DGMs) are a class of probabilistic models that are widely used for predictive analysis in sensitive domains, such as medical diagnostics. In this paper we present an algorithm for differentially private learning…

Machine Learning · Computer Science 2020-07-14 Amrita Roy Chowdhury , Theodoros Rekatsinas , Somesh Jha

We study the design of differentially private algorithms for adaptive analysis of dynamically growing databases, where a database accumulates new data entries while the analysis is ongoing. We provide a collection of tools for machine…

Data Structures and Algorithms · Computer Science 2018-03-20 Rachel Cummings , Sara Krehbiel , Kevin A. Lai , Uthaipon Tantipongpipat

In this paper, we study efficient differentially private alternating direction methods of multipliers (ADMM) via gradient perturbation for many machine learning problems. For smooth convex loss functions with (non)-smooth regularization, we…

Machine Learning · Computer Science 2020-11-03 Tao Xu , Fanhua Shang , Yuanyuan Liu , Hongying Liu , Longjie Shen , Maoguo Gong

Iterative algorithms, like gradient descent, are common tools for solving a variety of problems, such as model fitting. For this reason, there is interest in creating differentially private versions of them. However, their conversion to…

Machine Learning · Computer Science 2018-08-30 Jaewoo Lee , Daniel Kifer

Computing the principal component (PC) of the adjacency matrix of an undirected graph has several applications ranging from identifying key vertices for influence maximization and controlling diffusion processes, to discovering densely…

Data Structures and Algorithms · Computer Science 2026-03-06 Alireza Khayatian , Anil Vullikanti , Aritra Konar

Federated learning with differential privacy, or private federated learning, provides a strategy to train machine learning models while respecting users' privacy. However, differential privacy can disproportionately degrade the performance…

Machine Learning · Computer Science 2022-04-18 Borja Rodríguez-Gálvez , Filip Granqvist , Rogier van Dalen , Matt Seigel