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In the Generalized Mastermind problem, there is an unknown subset $H$ of the hypercube $\{0,1\}^d$ containing $n$ points. The goal is to learn $H$ by making a few queries to an oracle, which, given a point $q$ in $\{0,1\}^d$, returns the…

数据结构与算法 · 计算机科学 2024-09-11 Milind Prabhu , David Woodruff

Differential Privacy can provide provable privacy guarantees for training data in machine learning. However, the presence of proofs does not preclude the presence of errors. Inspired by recent advances in auditing which have been used for…

机器学习 · 计算机科学 2022-03-29 Florian Tramer , Andreas Terzis , Thomas Steinke , Shuang Song , Matthew Jagielski , Nicholas Carlini

We introduce a new zeroth-order algorithm for private stochastic optimization on nonconvex and nonsmooth objectives. Given a dataset of size $M$, our algorithm ensures $(\alpha,\alpha\rho^2/2)$-R\'enyi differential privacy and finds a…

最优化与控制 · 数学 2024-07-01 Qinzi Zhang , Hoang Tran , Ashok Cutkosky

We study differentially private mean estimation in a high-dimensional setting. Existing differential privacy techniques applied to large dimensions lead to computationally intractable problems or estimators with excessive privacy loss.…

机器学习 · 计算机科学 2020-07-23 Aditya Dhar , Jason Huang

We study the space complexity of the two related fields of differential privacy and adaptive data analysis. Specifically, (1) Under standard cryptographic assumptions, we show that there exists a problem P that requires exponentially more…

密码学与安全 · 计算机科学 2023-02-14 Itai Dinur , Uri Stemmer , David P. Woodruff , Samson Zhou

We propose a power-controlled differentially private decentralized learning algorithm designed for a set of clients aiming to collaboratively train a common learning model. The network is characterized by a row-stochastic adjacency matrix,…

信息论 · 计算机科学 2025-09-29 Amir Ziaeddini , Yauhen Yakimenka , Jörg Kliewer

This paper proposes a locally differentially private federated learning algorithm for strongly convex but possibly nonsmooth problems that protects the gradients of each worker against an honest but curious server. The proposed algorithm…

机器学习 · 计算机科学 2023-08-03 Jiaojiao Zhang , Dominik Fay , Mikael Johansson

A range counting problem is specified by a set $P$ of size $|P| = n$ of points in $\mathbb{R}^d$, an integer weight $x_p$ associated to each point $p \in P$, and a range space ${\cal R} \subseteq 2^{P}$. Given a query range $R \in {\cal…

数据结构与算法 · 计算机科学 2012-03-27 S. Muthukrishnan , Aleksandar Nikolov

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

We consider the problem of designing and analyzing differentially private algorithms that can be implemented on {\em discrete} models of computation in {\em strict} polynomial time, motivated by known attacks on floating point…

数据结构与算法 · 计算机科学 2019-01-18 Victor Balcer , Salil Vadhan

Through the lens of information-theoretic reductions, we examine a reductions approach to fair optimization and learning where a black-box optimizer is used to learn a fair model for classification or regression. Quantifying the complexity,…

机器学习 · 计算机科学 2021-05-25 Daniel Alabi

Achieving differential privacy (DP) guarantees in fully decentralized machine learning is challenging due to the absence of a central aggregator and varying trust assumptions among nodes. We present a framework for DP analysis of…

机器学习 · 计算机科学 2026-02-06 Antti Koskela , Tejas Kulkarni

We study the problem of solving linear programs of the form $Ax\le b$, $x\ge0$ with differential privacy. For homogeneous LPs $Ax\ge0$, we give an efficient $(\epsilon,\delta)$-differentially private algorithm which with probability at…

数据结构与算法 · 计算机科学 2025-07-16 Alina Ene , Huy Le Nguyen , Ta Duy Nguyen , Adrian Vladu

This paper investigates differentially private analysis of distance-based outliers. The problem of outlier detection is to find a small number of instances that are apparently distant from the remaining instances. On the other hand, the…

机器学习 · 统计学 2015-07-28 Rina Okada , Kazuto Fukuchi , Kazuya Kakizaki , Jun Sakuma

Differential privacy is a recently proposed notion of privacy that provides strong privacy guarantees without any assumptions on the adversary. The paper studies the problem of computing a differentially private solution to convex…

最优化与控制 · 数学 2014-03-26 Shuo Han , Ufuk Topcu , George J. Pappas

Learning the parameters of Gaussian mixture models is a fundamental and widely studied problem with numerous applications. In this work, we give new algorithms for learning the parameters of a high-dimensional, well separated, Gaussian…

数据结构与算法 · 计算机科学 2019-10-17 Gautam Kamath , Or Sheffet , Vikrant Singhal , Jonathan Ullman

Estimating the geometric median of a dataset is a robust counterpart to mean estimation, and is a fundamental problem in computational geometry. Recently, [HSU24] gave an $(\varepsilon, \delta)$-differentially private algorithm obtaining an…

数据结构与算法 · 计算机科学 2025-05-27 Syamantak Kumar , Daogao Liu , Kevin Tian , Chutong Yang

Parameter-transfer is a well-known and versatile approach for meta-learning, with applications including few-shot learning, federated learning, and reinforcement learning. However, parameter-transfer algorithms often require sharing models…

机器学习 · 计算机科学 2020-02-24 Jeffrey Li , Mikhail Khodak , Sebastian Caldas , Ameet Talwalkar

Differential privacy and sublinear algorithms are both rapidly emerging algorithmic themes in times of big data analysis. Although recent works have shown the existence of differentially private sublinear algorithms for many problems…

数据结构与算法 · 计算机科学 2025-01-15 Jeremiah Blocki , Hendrik Fichtenberger , Elena Grigorescu , Tamalika Mukherjee

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

信号处理 · 电气工程与系统科学 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani