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In 2008, Kasiviswanathan et al. defined private learning as a combination of PAC learning and differential privacy. Informally, a private learner is applied to a collection of labeled individual information and outputs a hypothesis while…

密码学与安全 · 计算机科学 2014-02-12 Amos Beimel , Kobbi Nissim , Uri Stemmer

We study the problem of differentially private optimization with linear constraints when the right-hand-side of the constraints depends on private data. This type of problem appears in many applications, especially resource allocation.…

机器学习 · 计算机科学 2020-11-05 Andrés Muñoz Medina , Umar Syed , Sergei Vassilvitskii , Ellen Vitercik

In this paper, an adjustment to the original differentially private stochastic gradient descent (DPSGD) algorithm for deep learning models is proposed. As a matter of motivation, to date, almost no state-of-the-art machine learning…

机器学习 · 计算机科学 2021-07-13 Mehdi Amian

This article establishes a method to answer a finite set of linear queries on a given dataset while ensuring differential privacy. To achieve this, we formulate the corresponding task as a saddle-point problem, i.e. an optimization problem…

统计方法学 · 统计学 2024-11-05 Giorgio Micali , Clement Lezane , Annika Betken

Differential privacy (DP) is a formal notion that restricts the privacy leakage of an algorithm when running on sensitive data, in which privacy-utility trade-off is one of the central problems in private data analysis. In this work, we…

机器学习 · 计算机科学 2025-03-18 Bo Li , Wei Wang , Peng Ye

We present new mechanisms for \emph{label differential privacy}, a relaxation of differentially private machine learning that only protects the privacy of the labels in the training set. Our mechanisms cluster the examples in the training…

机器学习 · 计算机科学 2021-10-06 Hossein Esfandiari , Vahab Mirrokni , Umar Syed , Sergei Vassilvitskii

This paper presents a differentially private algorithm for linear regression learning in a decentralized fashion. Under this algorithm, privacy budget is theoretically derived, in addition to that the solution error is shown to be bounded…

密码学与安全 · 计算机科学 2020-04-17 Yang Liu , Xiong Zhang , Shuqi Qin , Xiaoping Lei

Many popular learning algorithms (E.g. Regression, Fourier-Transform based algorithms, Kernel SVM and Kernel ridge regression) operate by reducing the problem to a convex optimization problem over a vector space of functions. These methods…

机器学习 · 计算机科学 2014-05-13 Amit Daniely , Nati Linial , Shai Shalev-Shwartz

Perhaps the single most important use case for differential privacy is to privately answer numerical queries, which is usually achieved by adding noise to the answer vector. The central question, therefore, is to understand which noise…

机器学习 · 统计学 2021-03-17 Jinshuo Dong , Weijie J. Su , Linjun Zhang

In this paper, we initiate the systematic study of solving linear programs under differential privacy. The first step is simply to define the problem: to this end, we introduce several natural classes of private linear programs that capture…

数据结构与算法 · 计算机科学 2018-03-16 Justin Hsu , Aaron Roth , Tim Roughgarden , Jonathan Ullman

Densest subgraph detection is a fundamental graph mining problem, with a large number of applications. There has been a lot of work on efficient algorithms for finding the densest subgraph in massive networks. However, in many domains, the…

数据结构与算法 · 计算机科学 2024-06-05 Dung Nguyen , Anil Vullikanti

We study the fundamental task of estimating the median of an underlying distribution from a finite number of samples, under pure differential privacy constraints. We focus on distributions satisfying the minimal assumption that they have a…

We study the problem of {\em properly} learning large margin halfspaces in the agnostic PAC model. In more detail, we study the complexity of properly learning $d$-dimensional halfspaces on the unit ball within misclassification error…

机器学习 · 计算机科学 2019-08-30 Ilias Diakonikolas , Daniel M. Kane , Pasin Manurangsi

Many methods in differentially private model training rely on computing the similarity between a query point (such as public or synthetic data) and private data. We abstract out this common subroutine and study the following fundamental…

密码学与安全 · 计算机科学 2024-03-15 Arturs Backurs , Zinan Lin , Sepideh Mahabadi , Sandeep Silwal , Jakub Tarnawski

Differentially private stochastic gradient descent privatizes model training by injecting noise into each iteration, where the noise magnitude increases with the number of model parameters. Recent works suggest that we can reduce the noise…

机器学习 · 统计学 2025-07-25 Xin Gu , Gautam Kamath , Zhiwei Steven Wu

Distributed machine learning has been widely studied in order to handle exploding amount of data. In this paper, we study an important yet less visited distributed learning problem where features are inherently distributed or vertically…

机器学习 · 计算机科学 2019-07-19 Yaochen Hu , Peng Liu , Linglong Kong , Di Niu

We initiate the study of a new model of supervised learning under privacy constraints. Imagine a medical study where a dataset is sampled from a population of both healthy and unhealthy individuals. Suppose healthy individuals have no…

机器学习 · 计算机科学 2020-08-04 Raef Bassily , Shay Moran , Anupama Nandi

In this work, we introduce a novel framework for privately optimizing objectives that rely on Wasserstein distances between data-dependent empirical measures. Our main theoretical contribution is, based on an explicit formulation of the…

机器学习 · 计算机科学 2025-05-22 David Rodríguez-Vítores , Clément Lalanne , Jean-Michel Loubes

Motivated by applications of large embedding models, we study differentially private (DP) optimization problems under sparsity of individual gradients. We start with new near-optimal bounds for the classic mean estimation problem but with…

机器学习 · 计算机科学 2024-11-01 Badih Ghazi , Cristóbal Guzmán , Pritish Kamath , Ravi Kumar , Pasin Manurangsi

Statistical tools which satisfy rigorous privacy guarantees are necessary for modern data analysis. It is well-known that robustness against contamination is linked to differential privacy. Despite this fact, using multivariate medians for…

统计理论 · 数学 2025-09-19 Kelly Ramsay , Aukosh Jagannath , Shoja'eddin Chenouri