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In this work, we study trade-offs between accuracy and privacy in the context of linear queries over histograms. This is a rich class of queries that includes contingency tables and range queries, and has been a focus of a long line of…

数据结构与算法 · 计算机科学 2013-08-05 Aleksandar Nikolov , Kunal Talwar , Li Zhang

In a multi-agent network, we consider the problem of minimizing an objective function that is expressed as the sum of private convex and smooth functions, and a (possibly) non-differentiable convex regularizer. We propose a novel…

最优化与控制 · 数学 2021-09-30 Yichuan Li , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

Differential privacy(DP) has now become a standard in case of sensitive statistical data analysis. The two main approaches in DP is local and central. Both the approaches have a clear gap in terms of data storing,amount of data to be…

密码学与安全 · 计算机科学 2020-01-07 Sudipta Paul , Subhankar Mishra

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

系统与控制 · 电气工程与系统科学 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

We consider the problem of estimating a regression function from anonymized data in the framework of local differential privacy. We propose a novel partitioning estimate of the regression function, derive a rate of convergence for the…

统计理论 · 数学 2023-04-12 László Györfi , Martin Kroll

We establish the O($\frac{1}{k}$) convergence rate for distributed stochastic gradient methods that operate over strongly convex costs and random networks. The considered class of methods is standard each node performs a weighted average of…

最优化与控制 · 数学 2018-03-22 Dusan Jakovetic , Dragana Bajovic , Anit Kumar Sahu , Soummya Kar

We characterize the communication complexity of the following distributed estimation problem. Alice and Bob observe infinitely many iid copies of $\rho$-correlated unit-variance (Gaussian or $\pm1$ binary) random variables, with unknown…

信息论 · 计算机科学 2019-04-19 Uri Hadar , Jingbo Liu , Yury Polyanskiy , Ofer Shayevitz

In shuffle privacy, each user sends a collection of randomized messages to a trusted shuffler, the shuffler randomly permutes these messages, and the resulting shuffled collection of messages must satisfy differential privacy. Prior work in…

机器学习 · 计算机科学 2022-03-15 Albert Cheu , Matthew Joseph , Jieming Mao , Binghui Peng

We study the fundamental problem of approximate nearest neighbor search in $d$-dimensional Hamming space $\{0,1\}^d$. We study the complexity of the problem in the famous cell-probe model, a classic model for data structures. We consider…

数据结构与算法 · 计算机科学 2016-02-16 Mingmou Liu , Xiaoyin Pan , Yitong Yin

We provide improved differentially private algorithms for identity testing of high-dimensional distributions. Specifically, for $d$-dimensional Gaussian distributions with known covariance $\Sigma$, we can test whether the distribution…

数据结构与算法 · 计算机科学 2022-07-26 Shyam Narayanan

Estimating spatial distributions is important in data analysis, such as traffic flow forecasting and epidemic prevention. To achieve accurate spatial distribution estimation, the analysis needs to collect sufficient user data. However,…

数据库 · 计算机科学 2024-12-12 Leilei Du , Peng Cheng , Libin Zheng , Xiang Lian , Lei Chen , Wei Xi , Wangze Ni

In distributed differential privacy, the parties perform analysis over their joint data while preserving the privacy for both datasets. Interestingly, for a few fundamental two-party functions such as inner product and Hamming distance, the…

密码学与安全 · 计算机科学 2022-06-20 Iftach Haitner , Noam Mazor , Jad Silbak , Eliad Tsfadia

Federated analytics seeks to compute accurate statistics from data distributed across users' devices while providing a suitable privacy guarantee and being practically feasible to implement and scale. In this paper, we show how a strong…

密码学与安全 · 计算机科学 2022-03-10 Akash Bharadwaj , Graham Cormode

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

系统与控制 · 电气工程与系统科学 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

We consider a D2D wireless network where $n$ users are densely deployed in a squared planar region and communicate with each other without the help of a wired infrastructure. For this network, we examine the 3-phase hierarchical cooperation…

信息论 · 计算机科学 2015-06-22 Song-Nam Hong , Giuseppe Caire

Joint distribution estimation of a dataset under differential privacy is a fundamental problem for many privacy-focused applications, such as query answering, machine learning tasks and synthetic data generation. In this work, we examine…

数据结构与算法 · 计算机科学 2021-06-10 Yuchao Tao , Johes Bater , Ashwin Machanavajjhala

The explosion of large-scale data in fields such as finance, e-commerce, and social media has outstripped the processing capabilities of single-machine systems, driving the need for distributed statistical inference methods. Traditional…

机器学习 · 统计学 2024-09-02 Jingguo Lan , Hongmei Lin , Xueqin Wang

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving empirical risk minimization (ERM) problems with a nonsmooth regularization term. Our algorithm is applicable…

机器学习 · 计算机科学 2019-12-16 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

We consider non-parametric density estimation in the framework of local approximate differential privacy. In contrast to centralized privacy scenarios with a trusted curator, in the local setup anonymization must be guaranteed already on…

统计理论 · 数学 2019-07-16 Martin Kroll

In this paper, we study the Empirical Risk Minimization problem in the non-interactive local model of differential privacy. In the case of constant or low dimensionality ($p\ll n$), we first show that if the ERM loss function is $(\infty,…

机器学习 · 计算机科学 2018-05-18 Di Wang , Marco Gaboardi , Jinhui Xu