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相关论文: Differentially Private Distributed Convex Optimiza…

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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…

统计方法学 · 统计学 2024-11-05 Giorgio Micali , Clement Lezane , Annika Betken

Privacy noise may negate the benefits of using adaptive optimizers in differentially private model training. Prior works typically address this issue by using auxiliary information (e.g., public data) to boost the effectiveness of adaptive…

机器学习 · 计算机科学 2023-06-09 Tian Li , Manzil Zaheer , Ken Ziyu Liu , Sashank J. Reddi , H. Brendan McMahan , Virginia Smith

We study elliptical distributions in locally convex vector spaces, and determine conditions when they can or cannot be used to satisfy differential privacy (DP). A requisite condition for a sanitized statistical summary to satisfy DP is…

密码学与安全 · 计算机科学 2021-05-06 Matthew Reimherr , Jordan Awan

This paper considers the problem of releasing privacy-preserving load data of a decentralized operated power system. The paper focuses on data used to solve Optimal Power Flow (OPF) problems and proposes a distributed algorithm that…

最优化与控制 · 数学 2020-04-20 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

We consider the problem of communication-constrained collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific…

社会与信息网络 · 计算机科学 2025-11-10 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

There has been work that exploits polynomial approximation to solve distributed nonconvex optimization problems involving univariate objectives. This idea facilitates arbitrarily precise global optimization without requiring local…

最优化与控制 · 数学 2024-03-25 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan

In decentralized networks, nodes cannot ensure that their shared information will be securely preserved by their neighbors, making privacy vulnerable to inference by curious nodes. Adding calibrated random noise before communication to…

分布式、并行与集群计算 · 计算机科学 2026-02-13 Yiming Zhou , Kaiping Xue , Enhong Chen

Distributed optimization is manifesting great potential in multiple fields, e.g., machine learning, control, and resource allocation. Existing decentralized optimization algorithms require sharing explicit state information among the…

系统与控制 · 电气工程与系统科学 2024-05-28 Huqiang Cheng , Xiaofeng Liao , Huaqing Li , You Zhao

Federated optimization, wherein several agents in a network collaborate with a central server to achieve optimal social cost over the network with no requirement for exchanging information among agents, has attracted significant interest…

多智能体系统 · 计算机科学 2023-10-23 Syed Eqbal Alam , Dhirendra Shukla , Shrisha Rao

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

最优化与控制 · 数学 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

We introduce a novel differentially private algorithm for online federated learning that employs temporally correlated noise to enhance utility while ensuring privacy of continuously released models. To address challenges posed by DP noise…

机器学习 · 计算机科学 2025-01-10 Jiaojiao Zhang , Linglingzhi Zhu , Mikael Johansson

The randomized power method has gained significant interest due to its simplicity and efficient handling of large-scale spectral analysis and recommendation tasks. However, its application to large datasets containing personal information…

机器学习 · 计算机科学 2025-06-13 Julien Nicolas , César Sabater , Mohamed Maouche , Sonia Ben Mokhtar , Mark Coates

Bilevel optimization, in which one optimization problem is nested inside another, underlies many machine learning applications with a hierarchical structure -- such as meta-learning and hyperparameter optimization. Such applications often…

机器学习 · 计算机科学 2025-11-10 Andrew Lowy , Daogao Liu

We study gradient descent under linearly correlated noise. Our work is motivated by recent practical methods for optimization with differential privacy (DP), such as DP-FTRL, which achieve strong performance in settings where privacy…

机器学习 · 计算机科学 2024-01-17 Anastasia Koloskova , Ryan McKenna , Zachary Charles , Keith Rush , Brendan McMahan

Differentially private noise mechanisms commonly use symmetric noise distributions. This is attractive both for achieving the differential privacy definition, and for unbiased expectations in the noised answers. However, there are contexts…

密码学与安全 · 计算机科学 2021-10-18 Benjamin M. Case , James Honaker , Mahnush Movahedi

Objective perturbation is a standard mechanism in differentially private empirical risk minimization. In particular, Linear Objective Perturbation (LOP) enforces privacy by adding a random linear term, while strong convexity and stability…

机器学习 · 计算机科学 2026-05-08 Daniel Cortild , Coralia Cartis

We propose a unified optimization framework for designing continuous and discrete noise distributions that ensure differential privacy (DP) by minimizing R\'enyi DP, a variant of DP, under a cost constraint. R\'enyi DP has the advantage…

Modern machine learning algorithms aim to extract fine-grained information from data to provide accurate predictions, which often conflicts with the goal of privacy protection. This paper addresses the practical and theoretical importance…

机器学习 · 统计学 2023-07-17 Puyu Wang , Yunwen Lei , Yiming Ying , Ding-Xuan Zhou

Linear programming is a fundamental tool in a wide range of decision systems. However, without privacy protections, sharing the solution to a linear program may reveal information about the underlying data used to formulate it, which may be…

最优化与控制 · 数学 2025-11-11 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

Due to statistical lower bounds on the learnability of many function classes under privacy constraints, there has been recent interest in leveraging public data to improve the performance of private learning algorithms. In this model,…

机器学习 · 统计学 2024-02-16 Adam Block , Mark Bun , Rathin Desai , Abhishek Shetty , Steven Wu