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We introduce efficient differentially private (DP) algorithms for several linear algebraic tasks, including solving linear equalities over arbitrary fields, linear inequalities over the reals, and computing affine spans and convex hulls. As…

数据结构与算法 · 计算机科学 2024-11-06 Haim Kaplan , Yishay Mansour , Shay Moran , Uri Stemmer , Nitzan Tur

In the recent years, Local Differential Privacy (LDP) has been one of the corner stone of privacy preserving data analysis. However, many challenges still opposes its widespread application. One of these problems is the scalability of LDP…

密码学与安全 · 计算机科学 2022-06-15 Thomas Carette

In the past decade analysis of big data has proven to be extremely valuable in many contexts. Local Differential Privacy (LDP) is a state-of-the-art approach which allows statistical computations while protecting each individual user's…

密码学与安全 · 计算机科学 2019-07-30 Björn Bebensee

Local Differential Privacy (LDP) protects user privacy from the data collector. LDP protocols have been increasingly deployed in the industry. A basic building block is frequency oracle (FO) protocols, which estimate frequencies of values.…

密码学与安全 · 计算机科学 2020-01-31 Tianhao Wang , Milan Lopuhaä-Zwakenberg , Zitao Li , Boris Skoric , Ninghui Li

A data stream is viewed as a sequence of $M$ updates of the form $(\text{index},i,v)$ to an $n$-dimensional integer frequency vector $f$, where the update changes $f_i$ to $f_i + v$, and $v$ is an integer and assumed to be in $\{-m, ...,…

数据结构与算法 · 计算机科学 2010-06-01 Sumit Ganguly , Purushottam Kar

Gaussian sketching, which consists of pre-multiplying the data with a random Gaussian matrix, is a widely used technique for multiple problems in data science and machine learning, with applications spanning computationally efficient…

机器学习 · 计算机科学 2025-06-05 Omri Lev , Vishwak Srinivasan , Moshe Shenfeld , Katrina Ligett , Ayush Sekhari , Ashia C. Wilson

In this work, we propose a new algorithm ProjectiveGeometryResponse (PGR) for locally differentially private (LDP) frequency estimation. For a universe size of $k$ and with $n$ users, our $\varepsilon$-LDP algorithm has communication cost…

密码学与安全 · 计算机科学 2022-03-02 Vitaly Feldman , Jelani Nelson , Huy Lê Nguyen , Kunal Talwar

We study differentially private stochastic convex optimization (DP-SCO) under user-level privacy, where each user may hold multiple data items. Existing work for user-level DP-SCO either requires super-polynomial runtime [Ghazi et al.…

机器学习 · 计算机科学 2023-11-08 Hilal Asi , Daogao Liu

Differential privacy is a rigorous definition for privacy that guarantees that any analysis performed on a sensitive dataset leaks no information about the individuals whose data are contained therein. In this work, we develop new…

密码学与安全 · 计算机科学 2021-11-18 Vassilis Digalakis , George N. Karystinos , Minos N. Garofalakis

We consider the problem of minimizing a convex risk with stochastic subgradients guaranteeing $\epsilon$-locally differentially private ($\epsilon$-LDP). While it has been shown that stochastic optimization is possible with $\epsilon$-LDP…

机器学习 · 计算机科学 2019-11-22 Kwang-Sung Jun , Francesco Orabona

We propose and analyze algorithms to solve a range of learning tasks under user-level differential privacy constraints. Rather than guaranteeing only the privacy of individual samples, user-level DP protects a user's entire contribution ($m…

机器学习 · 计算机科学 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

Determining the John ellipsoid - the largest volume ellipsoid contained within a convex polytope - is a fundamental problem with applications in machine learning, optimization, and data analytics. Recent work has developed fast algorithms…

数据结构与算法 · 计算机科学 2025-02-24 Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song , Junwei Yu

In this work, we study the task of estimating the numbers of distinct and $k$-occurring items in a time window under the constraint of differential privacy (DP). We consider several variants depending on whether the queries are on general…

数据结构与算法 · 计算机科学 2022-11-22 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson

Distributed data analysis is a large and growing field driven by a massive proliferation of user devices, and by privacy concerns surrounding the centralised storage of data. We consider two \emph{adaptive} algorithms for estimating one…

密码学与安全 · 计算机科学 2025-02-06 Anders Aamand , Fabrizio Boninsegna , Abigail Gentle , Jacob Imola , Rasmus Pagh

We develop a framework for efficiently transforming certain approximation algorithms into differentially-private variants, in a black-box manner. Specifically, our results focus on algorithms A that output an approximation to a function f…

数据结构与算法 · 计算机科学 2023-09-12 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee , Samson Zhou

Motivated by growing concerns over ensuring privacy on social networks, we develop new algorithms and impossibility results for fitting complex statistical models to network data subject to rigorous privacy guarantees. We consider the…

统计理论 · 数学 2018-10-05 Christian Borgs , Jennifer Chayes , Adam Smith , Ilias Zadik

In recent years, local differential privacy (LDP) has emerged as a technique of choice for privacy-preserving data collection in several scenarios when the aggregator is not trustworthy. LDP provides client-side privacy by adding noise at…

机器学习 · 统计学 2021-10-28 Tejas Kulkarni , Joonas Jälkö , Samuel Kaski , Antti Honkela

Recent work in differential privacy has highlighted the shuffled model as a promising avenue to compute accurate statistics while keeping raw data in users' hands. We present a protocol in this model that estimates histograms with error…

密码学与安全 · 计算机科学 2020-04-15 Victor Balcer , Albert Cheu

This article introduces differentially private log-location-scale (DP-LLS) regression models, which incorporate differential privacy into LLS regression through the functional mechanism. The proposed models are established by injecting…

机器学习 · 统计学 2024-04-16 Jiewen Sheng , Xiaolei Fang

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