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Selecting the top-$k$ highest scoring items under differential privacy (DP) is a fundamental task with many applications. This work presents three new results. First, the exponential mechanism, permute-and-flip and report-noisy-max, as well…

Machine Learning · Computer Science 2022-02-01 Michael Shekelyan , Grigorios Loukides

Differential privacy is often applied with a privacy parameter that is larger than the theory suggests is ideal; various informal justifications for tolerating large privacy parameters have been proposed. In this work, we consider partial…

Cryptography and Security · Computer Science 2022-09-12 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Thomas Steinke

Distributed online learning is gaining increased traction due to its unique ability to process large-scale datasets and streaming data. To address the growing public awareness and concern on privacy protection, plenty of algorithms have…

Machine Learning · Computer Science 2024-08-27 Ziqin Chen , Yongqiang Wang

Submodular function maximization is a critical building block for diverse tasks, such as document summarization, sensor placement, and image segmentation. Yet its practical utility is often limit by the $O(knd^2)$ computational bottleneck.…

Machine Learning · Computer Science 2026-01-29 Boyu Liu , Lianke Qin , Zhao Song , Yitan Wang , Jiale Zhao

Differential privacy (DP) enables private data analysis. In a typical DP deployment, controllers manage individuals' sensitive data and are responsible for answering analysts' queries while protecting individuals' privacy. They do so by…

Databases · Computer Science 2026-05-05 Zhiru Zhu , Raul Castro Fernandez

Motivated by applications to online learning in sparse estimation and Bayesian optimization, we consider the problem of online unconstrained nonsubmodular minimization with delayed costs in both full information and bandit feedback…

Machine Learning · Computer Science 2022-06-02 Tianyi Lin , Aldo Pacchiano , Yaodong Yu , Michael I. Jordan

Hu and Mehta (2024) posed an open problem: what is the optimal instance-dependent rate for the stochastic decision-theoretic online learning (with $K$ actions and $T$ rounds) under $\varepsilon$-differential privacy? Before, the best known…

Machine Learning · Computer Science 2025-06-19 Ruihan Wu , Yu-Xiang Wang

Training differentially private machine learning models requires constraining an individual's contribution to the optimization process. This is achieved by clipping the $2$-norm of their gradient at a predetermined threshold prior to…

Machine Learning · Computer Science 2024-01-09 Filippo Galli , Catuscia Palamidessi , Tommaso Cucinotta

In the differentially private top-$k$ selection problem, we are given a dataset $X \in \{\pm 1\}^{n \times d}$, in which each row belongs to an individual and each column corresponds to some binary attribute, and our goal is to find a set…

Data Structures and Algorithms · Computer Science 2017-02-13 Mitali Bafna , Jonathan Ullman

In the study of differential privacy, composition theorems (starting with the original paper of Dwork, McSherry, Nissim, and Smith (TCC'06)) bound the degradation of privacy when composing several differentially private algorithms. Kairouz,…

Computational Complexity · Computer Science 2016-06-01 Jack Murtagh , Salil Vadhan

In this paper, we propose three online algorithms for submodular maximisation. The first one, Mono-Frank-Wolfe, reduces the number of per-function gradient evaluations from $T^{1/2}$ [Chen2018Online] and $T^{3/2}$ [chen2018projection] to 1,…

Machine Learning · Computer Science 2019-10-29 Mingrui Zhang , Lin Chen , Hamed Hassani , Amin Karbasi

In this paper, we address the challenge of differential privacy in the context of graph cuts, specifically focusing on the multiway cut and the minimum $k$-cut. We introduce edge-differentially private algorithms that achieve nearly optimal…

Cryptography and Security · Computer Science 2024-12-04 Rishi Chandra , Michael Dinitz , Chenglin Fan , Zongrui Zou

Differential privacy (DP) techniques can be applied to the federated learning model to protect data privacy against inference attacks to communication among the learning agents. The DP techniques, however, hinder achieving a greater…

Machine Learning · Computer Science 2021-10-08 Minseok Ryu , Kibaek Kim

Differential Privacy (DP) provides strong guarantees on the risk of compromising a user's data in statistical learning applications, though these strong protections make learning challenging and may be too stringent for some use cases. To…

Machine Learning · Computer Science 2019-12-10 Hilal Asi , John Duchi , Omid Javidbakht

In this paper, we study fundamental problems of maximizing DR-submodular continuous functions that have real-world applications in the domain of machine learning, economics, operations research and communication systems. It captures a…

Machine Learning · Computer Science 2020-06-25 Nguyen Kim Thang , Abhinav Srivastav

A basic problem in the design of privacy-preserving algorithms is the private maximization problem: the goal is to pick an item from a universe that (approximately) maximizes a data-dependent function, all under the constraint of…

Machine Learning · Computer Science 2014-09-09 Kamalika Chaudhuri , Daniel Hsu , Shuang Song

In recent years we have witnessed an increase on the development of methods for submodular optimization, which have been motivated by the wide applicability of submodular functions in real-world data-science problems. In this paper, we…

Data Structures and Algorithms · Computer Science 2022-09-15 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

In this paper, we consider an online optimization process, where the objective functions are not convex (nor concave) but instead belong to a broad class of continuous submodular functions. We first propose a variant of the Frank-Wolfe…

Machine Learning · Statistics 2018-02-19 Lin Chen , Hamed Hassani , Amin Karbasi

Privacy is a growing concern in modern deep-learning systems and applications. Differentially private (DP) training prevents the leakage of sensitive information in the collected training data from the trained machine learning models. DP…

Machine Learning · Computer Science 2024-08-28 Xinwei Zhang , Zhiqi Bu , Mingyi Hong , Meisam Razaviyayn

Taking online decisions is a part of everyday life. Think of buying a house, parking a car or taking part in an auction. We often take those decisions publicly, which may breach our privacy - a party observing our choices may learn a lot…

Data Structures and Algorithms · Computer Science 2025-08-12 Krzysztof Grining , Marek Klonowski , Małgorzata Sulkowska