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Differential privacy enables organizations to collect accurate aggregates over sensitive data with strong, rigorous guarantees on individuals' privacy. Previous work has found that under differential privacy, computing multiple correlated…

数据库 · 计算机科学 2016-05-18 Ganzhao Yuan , Yin Yang , Zhenjie Zhang , Zhifeng Hao

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…

数据结构与算法 · 计算机科学 2015-03-17 Jonathan Ullman

Network routing problems are common across many engineering applications. Computing optimal routing policies requires knowledge about network demand, i.e., the origin and destination (OD) of all requests in the network. However, privacy…

系统与控制 · 电气工程与系统科学 2022-10-27 Matthew Tsao , Karthik Gopalakrishnan , Kaidi Yang , Marco Pavone

We show that convex-concave Lipschitz stochastic saddle point problems (also known as stochastic minimax optimization) can be solved under the constraint of $(\epsilon,\delta)$-differential privacy with \emph{strong (primal-dual) gap} rate…

机器学习 · 计算机科学 2023-06-30 Raef Bassily , Cristóbal Guzmán , Michael Menart

Differentially private (DP) stochastic convex optimization (SCO) is ubiquitous in trustworthy machine learning algorithm design. This paper studies the DP-SCO problem with streaming data sampled from a distribution and arrives sequentially.…

机器学习 · 计算机科学 2022-06-17 Yuxuan Han , Zhicong Liang , Zhipeng Liang , Yang Wang , Yuan Yao , Jiheng Zhang

We consider the problem of differentially private stochastic convex optimization (DP-SCO) in a distributed setting with $M$ clients, where each of them has a local dataset of $N$ i.i.d. data samples from an underlying data distribution. The…

机器学习 · 计算机科学 2025-01-07 Sudeep Salgia , Nikola Pavlovic , Yuejie Chi , Qing Zhao

We study differentially private (DP) algorithms for smooth stochastic minimax optimization, with stochastic minimization as a byproduct. The holy grail of these settings is to guarantee the optimal trade-off between the privacy and the…

机器学习 · 计算机科学 2022-10-20 Liang Zhang , Kiran Koshy Thekumparampil , Sewoong Oh , Niao He

We study differentially private (DP) algorithms for stochastic convex optimization: the problem of minimizing the population loss given i.i.d. samples from a distribution over convex loss functions. A recent work of Bassily et al. (2019)…

机器学习 · 计算机科学 2020-05-12 Vitaly Feldman , Tomer Koren , Kunal Talwar

Privacy protection and nonconvexity are two challenging problems in decentralized optimization and learning involving sensitive data. Despite some recent advances addressing each of the two problems separately, no results have been reported…

最优化与控制 · 数学 2022-12-16 Yongqiang Wang , Tamer Basar

Differential privacy is concerned about the prediction quality while measuring the privacy impact on individuals whose information is contained in the data. We consider differentially private risk minimization problems with regularizers…

机器学习 · 计算机科学 2019-05-14 K S Sesh Kumar , Marc Peter Deisenroth

This paper develops a novel differentially private framework to solve convex optimization problems with sensitive optimization data and complex physical or operational constraints. Unlike standard noise-additive algorithms, that act…

密码学与安全 · 计算机科学 2020-06-23 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

This paper considers distributed optimization (DO) where multiple agents cooperate to minimize a global objective function, expressed as a sum of local objectives, subject to some constraints. In DO, each agent iteratively solves a local…

最优化与控制 · 数学 2023-03-01 Minseok Ryu , Kibaek Kim

We study the problem of differentially-private (DP) stochastic (convex-concave) saddle-points in the $\ell_1$ setting. We propose $(\varepsilon, \delta)$-DP algorithms based on stochastic mirror descent that attain nearly…

最优化与控制 · 数学 2025-11-17 Tomás González , Cristóbal Guzmán , Courtney Paquette

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…

最优化与控制 · 数学 2024-09-16 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

We provide the first provably joint differentially private algorithm with formal utility guarantees for the problem of user-level privacy-preserving collaborative filtering. Our algorithm is based on the Frank-Wolfe method, and it…

机器学习 · 计算机科学 2018-06-13 Prateek Jain , Om Thakkar , Abhradeep Thakurta

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

密码学与安全 · 计算机科学 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

Saddle-point or primal-dual methods have recently attracted renewed interest as a systematic technique to design distributed algorithms which solve convex optimization problems. When implemented online for streaming data or as dynamic…

最优化与控制 · 数学 2021-04-22 John W. Simpson-Porco , Bala Kameshwar Poolla , Nima Monshizadeh , Florian Dorfler

We study efficient mechanisms for the query release problem in differential privacy: given a workload of $m$ statistical queries, output approximate answers to the queries while satisfying the constraints of differential privacy. In…

数据结构与算法 · 计算机科学 2018-11-12 Jaroslaw Blasiok , Mark Bun , Aleksandar Nikolov , Thomas Steinke

Differential privacy is a recently proposed notion of privacy that provides strong privacy guarantees without any assumptions on the adversary. The paper studies the problem of computing a differentially private solution to convex…

最优化与控制 · 数学 2014-03-26 Shuo Han , Ufuk Topcu , George J. Pappas

In this paper, we consider the problem of designing Differentially Private (DP) algorithms for Stochastic Convex Optimization (SCO) on heavy-tailed data. The irregularity of such data violates some key assumptions used in almost all…

机器学习 · 计算机科学 2020-10-22 Di Wang , Hanshen Xiao , Srini Devadas , Jinhui Xu
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