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In this paper, we study the problem of estimating the covariance matrix under differential privacy, where the underlying covariance matrix is assumed to be sparse and of high dimensions. We propose a new method, called DP-Thresholding, to…

机器学习 · 计算机科学 2019-04-17 Di Wang , Jinhui Xu

Reinforcement learning (RL) algorithms can be used to provide personalized services, which rely on users' private and sensitive data. To protect the users' privacy, privacy-preserving RL algorithms are in demand. In this paper, we study RL…

机器学习 · 计算机科学 2021-10-20 Chonghua Liao , Jiafan He , Quanquan Gu

This paper studies the problem of clustering in metric spaces while preserving the privacy of individual data. Specifically, we examine differentially private variants of the k-medians and Euclidean k-means problems. We present polynomial…

数据结构与算法 · 计算机科学 2020-08-31 Matthew Jones , Huy Lê Nguyen , Thy Nguyen

We consider the problem of model selection in a high-dimensional sparse linear regression model under privacy constraints. We propose a differentially private (DP) best subset selection method with strong statistical utility properties by…

机器学习 · 统计学 2024-10-30 Saptarshi Roy , Zehua Wang , Ambuj Tewari

In this paper, we study the privacy-preserving distributed optimization problem, aiming to prevent attackers from stealing the private information of agents. For this purpose, we propose a novel privacy-preserving algorithm based on the…

最优化与控制 · 数学 2024-05-15 Bing Liu , Furan Xie , Li Chai

We consider a refinement of differential privacy --- per instance differential privacy (pDP), which captures the privacy of a specific individual with respect to a fixed data set. We show that this is a strict generalization of the standard…

机器学习 · 统计学 2018-11-15 Yu-Xiang Wang

Security concerns in large-scale networked environments are becoming increasingly critical. To further improve the algorithm security from the design perspective of decentralized optimization algorithms, we introduce a new measure: Privacy…

最优化与控制 · 数学 2024-12-16 Luqing Wang , Luyao Guo , Shaofu Yang , Xinli Shi

Fingerprinting arguments, first introduced by Bun, Ullman, and Vadhan (STOC 2014), are the most widely used method for establishing lower bounds on the sample complexity or error of approximately differentially private (DP) algorithms.…

密码学与安全 · 计算机科学 2024-07-08 Naty Peter , Eliad Tsfadia , Jonathan Ullman

As data-driven technologies advance swiftly, maintaining strong privacy measures becomes progressively difficult. Conventional $(\epsilon, \delta)$-differential privacy, while prevalent, exhibits limited adaptability for many applications.…

密码学与安全 · 计算机科学 2025-07-03 Yifeng Liu , Zehua Wang

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

信息论 · 计算机科学 2025-12-10 Haoyang Hu , Viveck R. Cadambe

Differential privacy is a mathematical framework for privacy-preserving data analysis. Changing the hyperparameters of a differentially private algorithm allows one to trade off privacy and utility in a principled way. Quantifying this…

机器学习 · 统计学 2020-07-23 Brendan Avent , Javier Gonzalez , Tom Diethe , Andrei Paleyes , Borja Balle

In recent years, privacy-preserving machine learning algorithms have attracted increasing attention because of their important applications in many scientific fields. However, in the literature, most privacy-preserving algorithms demand…

机器学习 · 统计学 2024-01-03 Weidong Liu , Xiaojun Mao , Xiaofei Zhang , Xin Zhang

Cross-attention has emerged as a cornerstone module in modern artificial intelligence, underpinning critical applications such as retrieval-augmented generation (RAG), system prompting, and guided stable diffusion. However, this is a rising…

机器学习 · 计算机科学 2026-01-26 Yekun Ke , Yingyu Liang , Zhenmei Shi , Zhao Song , Jiahao Zhang

As a prevailing collaborative filtering method for recommendation systems, one-bit matrix completion requires data collected by users to provide personalized service. Due to insidious attacks and unexpected inference, the release of users'…

密码学与安全 · 计算机科学 2022-06-09 Zhengpin Li , Zheng Wei , Zengfeng Huang , Xiaojun Mao , Jian Wang

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…

数据结构与算法 · 计算机科学 2023-09-25 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Raghu Meka , Chiyuan Zhang

Differential Privacy (DP) provides a rigorous framework for releasing statistics while protecting individual information present in a dataset. Although substantial progress has been made on differentially private linear regression, existing…

统计理论 · 数学 2026-01-16 Getoar Sopa , Marco Avella Medina , Cynthia Rush

Differential privacy (DP) is a compelling privacy definition that explains the privacy-utility tradeoff via formal, provable guarantees. Inspired by recent progress toward general-purpose data release algorithms, we propose a private…

数据结构与算法 · 计算机科学 2020-06-17 Benjamin Coleman , Anshumali Shrivastava

We study private matrix analysis in the sliding window model where only the last $W$ updates to matrices are considered useful for analysis. We give first efficient $o(W)$ space differentially private algorithms for spectral approximation,…

机器学习 · 计算机科学 2020-09-08 Jalaj Upadhyay , Sarvagya Upadhyay

Federated Learning (FL) solutions with central Differential Privacy (DP) have seen large improvements in their utility in recent years arising from the matrix mechanism, while FL solutions with distributed (more private) DP have lagged…

密码学与安全 · 计算机科学 2025-06-18 Alexander Bienstock , Ujjwal Kumar , Antigoni Polychroniadou

Privacy preservation has become a critical concern in high-dimensional data analysis due to the growing prevalence of data-driven applications. Since its proposal, sliced inverse regression has emerged as a widely utilized statistical…

机器学习 · 统计学 2025-04-08 Xintao Xia , Linjun Zhang , Zhanrui Cai