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We consider the problem of learning unions of rectangles over the domain $[b]^n$, in the uniform distribution membership query learning setting, where both b and n are "large". We obtain poly$(n, \log b)$-time algorithms for the following…

机器学习 · 计算机科学 2008-09-12 Alp Atici , Rocco A. Servedio

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

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 consider the problem of learning Markov Random Fields (including the prototypical example, the Ising model) under the constraint of differential privacy. Our learning goals include both structure learning, where we try to estimate the…

数据结构与算法 · 计算机科学 2020-08-17 Huanyu Zhang , Gautam Kamath , Janardhan Kulkarni , Zhiwei Steven Wu

Differential Privacy offers strong guarantees such as immutable privacy under post processing. Thus it is often looked to as a solution to learning on scattered and isolated data. This work focuses on supervised manifold learning, a…

机器学习 · 计算机科学 2021-10-06 Praneeth Vepakomma , Julia Balla , Ramesh Raskar

We study differential privacy (DP) in a multi-party setting where each party only trusts a (known) subset of the other parties with its data. Specifically, given a trust graph where vertices correspond to parties and neighbors are mutually…

密码学与安全 · 计算机科学 2024-10-17 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Serena Wang

Differentially private (DP) optimization is the standard paradigm to learn large neural networks that are accurate and privacy-preserving. The computational cost for DP deep learning, however, is notoriously heavy due to the per-sample…

机器学习 · 计算机科学 2023-09-20 Zhiqi Bu , Yu-Xiang Wang , Sheng Zha , George Karypis

We consider the problem of learning mixtures of Gaussians under the constraint of approximate differential privacy. We prove that $\widetilde{O}(k^2 d \log^{3/2}(1/\delta) / \alpha^2 \varepsilon)$ samples are sufficient to learn a mixture…

机器学习 · 计算机科学 2021-06-07 Ishaq Aden-Ali , Hassan Ashtiani , Christopher Liaw

We introduce general tools for designing efficient private estimation algorithms, in the high-dimensional settings, whose statistical guarantees almost match those of the best known non-private algorithms. To illustrate our techniques, we…

数据结构与算法 · 计算机科学 2023-11-17 Hongjie Chen , Vincent Cohen-Addad , Tommaso d'Orsi , Alessandro Epasto , Jacob Imola , David Steurer , Stefan Tiegel

Differentially private collaborative filtering is a challenging task, both in terms of accuracy and speed. We present a simple algorithm that is provably differentially private, while offering good performance, using a novel connection of…

机器学习 · 计算机科学 2015-05-08 Ziqi Liu , Yu-Xiang Wang , Alexander J. Smola

We design new differentially private algorithms for the Euclidean k-means problem, both in the centralized model and in the local model of differential privacy. In both models, our algorithms achieve significantly improved error guarantees…

数据结构与算法 · 计算机科学 2018-07-17 Haim Kaplan , Uri Stemmer

We study the task of $(\epsilon, \delta)$-differentially private online convex optimization (OCO). In the online setting, the release of each distinct decision or iterate carries with it the potential for privacy loss. This problem has a…

密码学与安全 · 计算机科学 2023-12-21 Naman Agarwal , Satyen Kale , Karan Singh , Abhradeep Guha Thakurta

Prior work on differential privacy analysis of randomized SGD algorithms relies on composition theorems, where the implicit (unrealistic) assumption is that the internal state of the iterative algorithm is revealed to the adversary. As a…

机器学习 · 统计学 2022-10-18 Jiayuan Ye , Reza Shokri

In this paper, we apply machine learning to distributed private data owned by multiple data owners, entities with access to non-overlapping training datasets. We use noisy, differentially-private gradients to minimize the fitness cost of…

密码学与安全 · 计算机科学 2019-07-03 Nan Wu , Farhad Farokhi , David Smith , Mohamed Ali Kaafar

Pairwise learning focuses on learning tasks with pairwise loss functions, depends on pairs of training instances, and naturally fits for modeling relationships between pairs of samples. In this paper, we focus on the privacy of pairwise…

机器学习 · 计算机科学 2021-06-02 Yilin Kang , Yong Liu , Jian Li , Weiping Wang

Machine learning with formal privacy-preserving techniques like Differential Privacy (DP) allows one to derive valuable insights from sensitive medical imaging data while promising to protect patient privacy, but it usually comes at a sharp…

图像与视频处理 · 电气工程与系统科学 2023-06-21 Florian A. Hölzl , Daniel Rueckert , Georgios Kaissis

We consider learning under the constraint of local differential privacy (LDP). For many learning problems known efficient algorithms in this model require many rounds of communication between the server and the clients holding the data…

机器学习 · 计算机科学 2019-10-29 Amit Daniely , Vitaly Feldman

This paper studies the privacy-preserving distributed optimization problem under limited communication, where each agent aims to keep its cost function private while minimizing the sum of all agents' cost functions. To this end, we propose…

最优化与控制 · 数学 2024-05-02 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

We study the problem of PAC learning one-hidden-layer ReLU networks with $k$ hidden units on $\mathbb{R}^d$ under Gaussian marginals in the presence of additive label noise. For the case of positive coefficients, we give the first…

机器学习 · 计算机科学 2020-06-23 Ilias Diakonikolas , Daniel M. Kane , Vasilis Kontonis , Nikos Zarifis

We consider the problem of clustering privately a dataset in $\mathbb{R}^d$ that undergoes both insertion and deletion of points. Specifically, we give an $\varepsilon$-differentially private clustering mechanism for the $k$-means objective…

数据结构与算法 · 计算机科学 2023-07-28 Max Dupré la Tour , Monika Henzinger , David Saulpic