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We consider maximizing a monotone submodular function under a cardinality constraint or a knapsack constraint in the streaming setting. In particular, the elements arrive sequentially and at any point of time, the algorithm has access to…

数据结构与算法 · 计算机科学 2018-02-20 Chien-Chung Huang , Naonori Kakimura

We study discrete distribution estimation under user-level local differential privacy (LDP). In user-level $\varepsilon$-LDP, each user has $m\ge1$ samples and the privacy of all $m$ samples must be preserved simultaneously. We resolve the…

机器学习 · 计算机科学 2022-11-08 Jayadev Acharya , Yuhan Liu , Ziteng Sun

In this work, we give efficient algorithms for privately estimating a Gaussian distribution in both pure and approximate differential privacy (DP) models with optimal dependence on the dimension in the sample complexity. In the pure DP…

数据结构与算法 · 计算机科学 2023-06-02 Daniel Alabi , Pravesh K. Kothari , Pranay Tankala , Prayaag Venkat , Fred Zhang

We consider the minimax estimation problem of a discrete distribution with support size $k$ under privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the distribution of the raw…

机器学习 · 计算机科学 2017-02-03 Min Ye , Alexander Barg

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world scenarios…

密码学与安全 · 计算机科学 2023-10-23 Syomantak Chaudhuri , Konstantin Miagkov , Thomas A. Courtade

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

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional DP formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world…

密码学与安全 · 计算机科学 2023-05-18 Syomantak Chaudhuri , Thomas A. Courtade

We give a fast algorithm to optimally compose privacy guarantees of differentially private (DP) algorithms to arbitrary accuracy. Our method is based on the notion of privacy loss random variables to quantify the privacy loss of DP…

数据结构与算法 · 计算机科学 2021-10-27 Sivakanth Gopi , Yin Tat Lee , Lukas Wutschitz

Differentially private (DP) machine learning has recently become popular. The privacy loss of DP algorithms is commonly reported using $(\varepsilon,\delta)$-DP. In this paper, we propose a numerical accountant for evaluating the privacy…

机器学习 · 统计学 2020-08-28 Antti Koskela , Joonas Jälkö , Antti Honkela

Recent work in differential privacy has explored the prospect of combining local randomization with a secure intermediary. Specifically, there are a variety of protocols in the secure shuffle model (where an intermediary randomly permutes…

密码学与安全 · 计算机科学 2021-12-28 Albert Cheu , Chao Yan

We develop differentially private hypothesis testing methods for the small sample regime. Given a sample $\cal D$ from a categorical distribution $p$ over some domain $\Sigma$, an explicitly described distribution $q$ over $\Sigma$, some…

数据结构与算法 · 计算机科学 2017-06-08 Bryan Cai , Constantinos Daskalakis , Gautam Kamath

We present new methods for assessing the privacy guarantees of an algorithm with regard to R\'enyi Differential Privacy. To the best of our knowledge, this work is the first to address this problem in a black-box scenario, where only…

密码学与安全 · 计算机科学 2022-12-12 Tim Kutta , Önder Askin , Martin Dunsche

While machine learning has proven to be a powerful data-driven solution to many real-life problems, its use in sensitive domains has been limited due to privacy concerns. A popular approach known as **differential privacy** offers provable…

机器学习 · 统计学 2016-04-28 Yu-Xiang Wang , Jing Lei , Stephen E. Fienberg

Local differential privacy (LDP) can provide each user with strong privacy guarantees under untrusted data curators while ensuring accurate statistics derived from privatized data. Due to its powerfulness, LDP has been widely adopted to…

密码学与安全 · 计算机科学 2019-06-06 Teng Wang , Jun Zhao , Xinyu Yang , Xuebin Ren

A centrally differentially private algorithm maps raw data to differentially private outputs. In contrast, a locally differentially private algorithm may only access data through public interaction with data holders, and this interaction…

数据结构与算法 · 计算机科学 2020-07-20 Kareem Amin , Matthew Joseph , Jieming Mao

The verification of differential privacy algorithms that employ Gaussian distributions is little understood. This paper tackles the challenge of verifying such programs by introducing a novel approach to approximating probability…

密码学与安全 · 计算机科学 2025-09-11 Bishnu Bhusal , Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

This work studies the estimation of many statistical quantiles under differential privacy. More precisely, given a distribution and access to i.i.d. samples from it, we study the estimation of the inverse of its cumulative distribution…

机器学习 · 统计学 2023-12-27 Clément Lalanne , Aurélien Garivier , Rémi Gribonval

Distributed stochastic gradient descent is an important subroutine in distributed learning. A setting of particular interest is when the clients are mobile devices, where two important concerns are communication efficiency and the privacy…

机器学习 · 统计学 2018-05-29 Naman Agarwal , Ananda Theertha Suresh , Felix Yu , Sanjiv Kumar , H. Brendan Mcmahan

Differential privacy (DP) has recently emerged as a definition of privacy to release private estimates. DP calibrates noise to be on the order of an individuals contribution. Due to the this calibration a private estimate obscures any…

机器学习 · 统计学 2025-08-26 Carlos Soto

We initiate a systematic study of algorithms that are both differentially private and run in sublinear time for several problems in which the goal is to estimate natural graph parameters. Our main result is a differentially-private…

数据结构与算法 · 计算机科学 2022-03-15 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee