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This paper studies the distributed least-squares optimization problem with differential privacy requirement of local cost functions, for which two differentially private distributed solvers are proposed. The first is established on the…

Optimization and Control · Mathematics 2024-03-05 Weijia Liu , Lei Wang , Fanghong Guo , Zhengguang Wu , Hongye Su

Fine-tuning adapts a pretrained machine learning model to a small, sensitive dataset, but this process risks memorizing individual new data points, making the model vulnerable to adversaries who seek to extract sensitive information. In…

Machine Learning · Computer Science 2026-05-21 Hoang Tran , Jorge Ramirez , Jiayi Wang , Alberto Bocchinfuso , Christopher Stanley , M. Paul Laiu

This work addresses the problem of revenue maximization in a repeated, unlimited supply item-pricing auction while preserving buyer privacy. We present a novel algorithm that provides differential privacy with respect to the buyer's input…

Computer Science and Game Theory · Computer Science 2023-10-31 Joon Suk Huh

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

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

Optimization and Control · Mathematics 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

Global minimum cut is a fundamental combinatorial optimization problem with wide-ranging applications. Often in practice, these problems are solved repeatedly on families of similar or related instances. However, the de facto algorithmic…

Data Structures and Algorithms · Computer Science 2025-03-10 Benjamin Moseley , Helia Niaparast , Karan Singh

A new algorithm for one-dimensional minimization is described in detail and the results of some tests on practical cases are reported and illustrated. The method requires only punctual computation of the function, and is suitable to be…

Optimization and Control · Mathematics 2017-08-24 Glauco Masotti

Differentially private (DP) machine learning has recently become popular. The privacy loss of DP algorithms is commonly reported using $(\varepsilon,\delta)$-DP. In this paper, we propose a numerical accountant for evaluating the privacy…

Machine Learning · Statistics 2020-08-28 Antti Koskela , Joonas Jälkö , Antti Honkela

The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weight sum of the cut edges. Here, we introduce a linear-time algorithm to compute near-minimum cuts. Our…

Data Structures and Algorithms · Computer Science 2019-06-05 Monika Henzinger , Alexander Noe , Christian Schulz , Darren Strash

A wide variety of fundamental data analyses in machine learning, such as linear and logistic regression, require minimizing a convex function defined by the data. Since the data may contain sensitive information about individuals, and these…

Data Structures and Algorithms · Computer Science 2015-03-17 Jonathan Ullman

A common problem in private data analysis is the partition selection problem, where each user holds a set of partitions (e.g. keys in a GROUP BY operation) from a possibly unbounded set. The challenge here is in maximizing the set of…

Cryptography and Security · Computer Science 2026-03-12 Charlie Harrison , Pasin Manurangsi

We revisit the problem of $n$-gram extraction in the differential privacy setting. In this problem, given a corpus of private text data, the goal is to release as many $n$-grams as possible while preserving user level privacy. Extracting…

Machine Learning · Computer Science 2021-08-09 Kunho Kim , Sivakanth Gopi , Janardhan Kulkarni , Sergey Yekhanin

We design new differentially private algorithms for the Euclidean k-means problem, both in the centralized model and in the local model of differential privacy. In both models, our algorithms achieve significantly improved error guarantees…

Data Structures and Algorithms · Computer Science 2018-07-17 Haim Kaplan , Uri Stemmer

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

We study the problem of releasing a differentially private (DP) synthetic graph $G'$ that well approximates the triangle-motif sizes of all cuts of any given graph $G$, where a motif in general refers to a frequently occurring subgraph…

Data Structures and Algorithms · Computer Science 2025-09-23 Pan Peng , Hangyu Xu

We consider the task of producing heatmaps from users' aggregated data while protecting their privacy. We give a differentially private (DP) algorithm for this task and demonstrate its advantages over previous algorithms on real-world…

Data Structures and Algorithms · Computer Science 2022-11-28 Badih Ghazi , Junfeng He , Kai Kohlhoff , Ravi Kumar , Pasin Manurangsi , Vidhya Navalpakkam , Nachiappan Valliappan

Differentially Private Stochastic Gradient Descent with Gradient Clipping (DPSGD-GC) is a powerful tool for training deep learning models using sensitive data, providing both a solid theoretical privacy guarantee and high efficiency.…

Machine Learning · Computer Science 2024-04-18 Xinwei Zhang , Zhiqi Bu , Zhiwei Steven Wu , Mingyi Hong

Differential privacy is a rigorous privacy condition achieved by randomizing query answers. This paper develops efficient algorithms for answering multiple queries under differential privacy with low error. We pursue this goal by advancing…

Databases · Computer Science 2011-03-08 Chao Li , Gerome Miklau

In this paper, a sequential search method for finding the global minimum of an objective function is presented, The descent gradient search is repeated until the global minimum is obtained. The global minimum is located by a process of…

Optimization and Control · Mathematics 2024-02-06 Mohamed Tifroute , Anouar Lahmdani , Hassane Bouzahir

We study mechanisms for differential privacy on finite datasets. By deriving \emph{sufficient sets} for differential privacy we obtain necessary and sufficient conditions for differential privacy, a tight lower bound on the maximal expected…

Discrete Mathematics · Computer Science 2015-05-28 Naoise Holohan , Doug Leith , Oliver Mason