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This paper considers the single-server Private Linear Transformation (PLT) problem with individual privacy guarantees. In this problem, there is a user that wishes to obtain $L$ independent linear combinations of a $D$-subset of messages…

Information Theory · Computer Science 2021-06-11 Anoosheh Heidarzadeh , Nahid Esmati , Alex Sprintson

\epsilon-differential privacy is the state-of-the-art model for releasing sensitive information while protecting privacy. Numerous methods have been proposed to enforce epsilon-differential privacy in various analytical tasks, e.g.,…

Databases · Computer Science 2012-08-02 Jun Zhang , Zhenjie Zhang , Xiaokui Xiao , Yin Yang , Marianne Winslett

We study differentially private approximation algorithms for positive linear programs (LPs with nonnegative coefficients and variables), focusing on the fundamental families of packing, covering, and mixed packing-covering formulations. We…

Data Structures and Algorithms · Computer Science 2026-05-28 Alina Ene , Huy Le Nguyen , Ta Duy Nguyen , Adrian Vladu

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

Convex programming with linear constraints plays an important role in the operation of a number of everyday systems. However, absent any additional protections, revealing or acting on the solutions to such problems may reveal information…

Optimization and Control · Mathematics 2024-09-16 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

Correlation clustering is a widely used technique in unsupervised machine learning. Motivated by applications where individual privacy is a concern, we initiate the study of differentially private correlation clustering. We propose an…

Machine Learning · Computer Science 2021-02-18 Mark Bun , Marek Eliáš , Janardhan Kulkarni

We consider a setup in which confidential i.i.d. samples $X_1,\dotsc,X_n$ from an unknown finite-support distribution $\boldsymbol{p}$ are passed through $n$ copies of a discrete privatization channel (a.k.a. mechanism) producing outputs…

Machine Learning · Computer Science 2018-11-30 Adriano Pastore , Michael Gastpar

Differential privacy allows bounding the influence that training data records have on a machine learning model. To use differential privacy in machine learning, data scientists must choose privacy parameters $(\epsilon,\delta)$. Choosing…

Cryptography and Security · Computer Science 2021-07-21 Daniel Bernau , Günther Eibl , Philip W. Grassal , Hannah Keller , Florian Kerschbaum

Previous work on user-level differential privacy (DP) [Ghazi et al. NeurIPS 2021, Bun et al. STOC 2023] obtained generic algorithms that work for various learning tasks. However, their focus was on the example-rich regime, where the users…

Data Structures and Algorithms · Computer Science 2023-09-25 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Raghu Meka , Chiyuan Zhang

We characterize the minimum noise amplitude and power for noise-adding mechanisms in $(\epsilon, \delta)$-differential privacy for single real-valued query function. We derive new lower bounds using the duality of linear programming, and…

Cryptography and Security · Computer Science 2019-02-06 Quan Geng , Wei Ding , Ruiqi Guo , Sanjiv Kumar

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

We consider privacy in the context of streaming algorithms for cardinality estimation. We show that a large class of algorithms all satisfy $\epsilon$-differential privacy, so long as (a) the algorithm is combined with a simple…

Data Structures and Algorithms · Computer Science 2023-02-06 Charlie Dickens , Justin Thaler , Daniel Ting

Numerical linear algebra plays an important role in computer science. In this paper, we initiate the study of performing linear algebraic tasks while preserving privacy when the data is streamed online. Our main focus is the space…

Data Structures and Algorithms · Computer Science 2017-10-26 Jalaj Upadhyay

This article establishes a method to answer a finite set of linear queries on a given dataset while ensuring differential privacy. To achieve this, we formulate the corresponding task as a saddle-point problem, i.e. an optimization problem…

Methodology · Statistics 2024-11-05 Giorgio Micali , Clement Lezane , Annika Betken

This paper studies the privacy-preserving distributed optimization problem under limited communication, where each agent aims to keep its cost function private while minimizing the sum of all agents' cost functions. To this end, we propose…

Optimization and Control · Mathematics 2024-05-02 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

We consider the problem of differentially private selection. Given a finite set of candidate items and a quality score for each item, our goal is to design a differentially private mechanism that returns an item with a score that is as high…

Cryptography and Security · Computer Science 2020-10-27 Ryan McKenna , Daniel Sheldon

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

Recently differential privacy has been used for a number of streaming, data structure, and dynamic graph problems as a means of hiding the internal randomness of the data structure, so that multiple possibly adaptive queries can be made…

Data Structures and Algorithms · Computer Science 2025-06-09 Shiyuan Feng , Ying Feng , George Z. Li , Zhao Song , David P. Woodruff , Lichen Zhang

In recent years, differential privacy has emerged as the de facto standard for sharing statistics of datasets while limiting the disclosure of private information about the involved individuals. This is achieved by randomly perturbing the…

Cryptography and Security · Computer Science 2024-12-18 Aras Selvi , Huikang Liu , Wolfram Wiesemann

We study the problem of multi-task learning under user-level differential privacy, in which $n$ users contribute data to $m$ tasks, each involving a subset of users. One important aspect of the problem, that can significantly impact…

Machine Learning · Computer Science 2023-02-17 Walid Krichene , Prateek Jain , Shuang Song , Mukund Sundararajan , Abhradeep Thakurta , Li Zhang