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We provide computationally efficient, differentially private algorithms for the classical regression settings of Least Squares Fitting, Binary Regression and Linear Regression with unbounded covariates. Prior to our work, privacy…

密码学与安全 · 计算机科学 2022-02-24 Jason Milionis , Alkis Kalavasis , Dimitris Fotakis , Stratis Ioannidis

We revisit the problem of distribution learning within the framework of learning-augmented algorithms. In this setting, we explore the scenario where a probability distribution is provided as potentially inaccurate advice on the true,…

机器学习 · 计算机科学 2025-02-03 Arnab Bhattacharyya , Davin Choo , Philips George John , Themis Gouleakis

In federated learning collaborative learning takes place by a set of clients who each want to remain in control of how their local training data is used, in particular, how can each client's local training data remain private? Differential…

机器学习 · 计算机科学 2023-07-18 Marten van Dijk , Phuong Ha Nguyen

Out-of-distribution (OOD) generalization has long been a challenging problem that remains largely unsolved. Gaussian processes (GP), as popular probabilistic model classes, especially in the small data regime, presume strong OOD…

机器学习 · 计算机科学 2023-12-19 Xilong Zhao , Siyuan Bian , Yaoyun Zhang , Yuliang Zhang , Qinying Gu , Xinbing Wang , Chenghu Zhou , Nanyang Ye

We study model personalization under user-level differential privacy (DP) in the shared representation framework. In this problem, there are $n$ users whose data is statistically heterogeneous, and their optimal parameters share an unknown…

机器学习 · 计算机科学 2025-06-25 Conor Snedeker , Xinyu Zhou , Raef Bassily

We investigate unbiased high-dimensional mean estimators in differential privacy. We consider differentially private mechanisms whose expected output equals the mean of the input dataset, for every dataset drawn from a fixed bounded…

统计理论 · 数学 2023-12-22 Aleksandar Nikolov , Haohua Tang

We consider the problem of approximating a $d \times d$ covariance matrix $M$ with a rank-$k$ matrix under $(\varepsilon,\delta)$-differential privacy. We present and analyze a complex variant of the Gaussian mechanism and show that the…

数据结构与算法 · 计算机科学 2023-06-30 Oren Mangoubi , Nisheeth K. Vishnoi

Gaussian copulas are widely used to estimate multivariate distributions and relationships. We present algorithms for estimating Gaussian copula correlations that ensure differential privacy. We first convert data values into sets of two-way…

统计方法学 · 统计学 2026-01-08 Shuo Wang , Joseph Feldman , Jerome P. Reiter

Online learning has been in the spotlight from the machine learning society for a long time. To handle massive data in Big Data era, one single learner could never efficiently finish this heavy task. Hence, in this paper, we propose a novel…

机器学习 · 计算机科学 2015-06-24 Chencheng Li , Pan Zhou

Generative models are used in a wide range of applications building on large amounts of contextually rich information. Due to possible privacy violations of the individuals whose data is used to train these models, however, publishing or…

机器学习 · 计算机科学 2018-07-16 Gergely Acs , Luca Melis , Claude Castelluccia , Emiliano De Cristofaro

Developing a differentially private deep learning algorithm is challenging, due to the difficulty in analyzing the sensitivity of objective functions that are typically used to train deep neural networks. Many existing methods resort to the…

机器学习 · 计算机科学 2019-10-16 Frederik Harder , Jonas Köhler , Max Welling , Mijung Park

We study the problem of differentially private linear regression where each data point is sampled from a fixed sub-Gaussian style distribution. We propose and analyze a one-pass mini-batch stochastic gradient descent method (DP-AMBSSGD)…

机器学习 · 计算机科学 2022-07-14 Prateek Varshney , Abhradeep Thakurta , Prateek Jain

In this paper, we consider the $k$-approximate pattern matching problem under differential privacy, where the goal is to report or count all substrings of a given string $S$ which have a Hamming distance at most $k$ to a pattern $P$, or…

数据结构与算法 · 计算机科学 2023-11-14 Teresa Anna Steiner

Strict privacy is of paramount importance in distributed machine learning. Federated learning, with the main idea of communicating only what is needed for learning, has been recently introduced as a general approach for distributed learning…

密码学与安全 · 计算机科学 2020-07-14 Mikko A. Heikkilä , Antti Koskela , Kana Shimizu , Samuel Kaski , Antti Honkela

The recent trend towards Personalized Federated Learning (PFL) has garnered significant attention as it allows for the training of models that are tailored to each client while maintaining data privacy. However, current PFL techniques…

机器学习 · 计算机科学 2023-05-03 Yue Wu , Shuaicheng Zhang , Wenchao Yu , Yanchi Liu , Quanquan Gu , Dawei Zhou , Haifeng Chen , Wei Cheng

Most works in learning with differential privacy (DP) have focused on the setting where each user has a single sample. In this work, we consider the setting where each user holds $m$ samples and the privacy protection is enforced at the…

机器学习 · 计算机科学 2021-12-28 Badih Ghazi , Ravi Kumar , Pasin Manurangsi

In this paper, we propose differentially private algorithms for the problem of stochastic linear bandits in the central, local and shuffled models. In the central model, we achieve almost the same regret as the optimal non-private…

机器学习 · 计算机科学 2022-07-08 Osama A. Hanna , Antonious M. Girgis , Christina Fragouli , Suhas Diggavi

Given $n$ i.i.d. random matrices $A_i \in \mathbb{R}^{d \times d}$ that share a common expectation $\Sigma$, the objective of Differentially Private Stochastic PCA is to identify a subspace of dimension $k$ that captures the largest…

机器学习 · 统计学 2025-08-15 Johanna Düngler , Amartya Sanyal

We study the problem of learning exponential distributions under differential privacy. Given $n$ i.i.d.\ samples from $\mathrm{Exp}(\lambda)$, the goal is to privately estimate $\lambda$ so that the learned distribution is close in total…

数据结构与算法 · 计算机科学 2026-03-31 Bar Mahpud , Or Sheffet

We consider the problem of reinforcing federated learning with formal privacy guarantees. We propose to employ Bayesian differential privacy, a relaxation of differential privacy for similarly distributed data, to provide sharper privacy…

机器学习 · 计算机科学 2020-03-26 Aleksei Triastcyn , Boi Faltings