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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 derive the optimal $\epsilon$-differentially private mechanism for a general two-dimensional real-valued (histogram-like) query function under a utility-maximization (or cost-minimization) framework for the $\ell^1$ cost function. We…

密码学与安全 · 计算机科学 2013-12-04 Quan Geng , Pramod Viswanath

This paper considers the private release of statistics of disjoint subsets of a dataset, in the setting of data heterogeneity, where users could contribute more than one sample, with different users contributing potentially different…

密码学与安全 · 计算机科学 2025-03-26 V. Arvind Rameshwar , Anshoo Tandon

Differential privacy has become crucial in the real-world deployment of statistical and machine learning algorithms with rigorous privacy guarantees. The earliest statistical queries, for which differential privacy mechanisms have been…

统计理论 · 数学 2023-02-13 Saiteja Utpala , Praneeth Vepakomma , Nina Miolane

We study the (nearly) optimal mechanisms in $(\epsilon,\delta)$-approximate differential privacy for integer-valued query functions and vector-valued (histogram-like) query functions under a utility-maximization/cost-minimization framework.…

数据结构与算法 · 计算机科学 2013-12-20 Quan Geng , Pramod Viswanath

Adding random noise to database query results is an important tool for achieving privacy. A challenge is to minimize this noise while still meeting privacy requirements. Recently, a sufficient and necessary condition for $(\epsilon,…

密码学与安全 · 计算机科学 2026-01-28 Staal A. Vinterbo

We study distributed estimation and learning problems in a networked environment where agents exchange information to estimate unknown statistical properties of random variables from their privately observed samples. The agents can…

机器学习 · 计算机科学 2024-04-02 Marios Papachristou , M. Amin Rahimian

We study a basic private estimation problem: each of $n$ users draws a single i.i.d. sample from an unknown Gaussian distribution, and the goal is to estimate the mean of this Gaussian distribution while satisfying local differential…

机器学习 · 计算机科学 2019-10-29 Matthew Joseph , Janardhan Kulkarni , Jieming Mao , Zhiwei Steven Wu

In an MPC-protected distributed computation, although the use of MPC assures data privacy during computation, sensitive information may still be inferred by curious MPC participants from the computation output. This can be observed, for…

密码学与安全 · 计算机科学 2025-03-11 Ivan Tjuawinata , Jiabo Wang , Mengmeng Yang , Shanxiang Lyu , Huaxiong Wang , Kwok-Yan Lam

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

The problem of estimating a parameter in the drift coefficient is addressed for $N$ discretely observed independent and identically distributed stochastic differential equations (SDEs). This is done considering additional constraints,…

统计理论 · 数学 2024-10-17 Chiara Amorino , Arnaud Gloter , Hélène Halconruy

With the increasing popularity of GPS-enabled hand-held devices, location-based applications and services have access to accurate and real-time location information, raising serious privacy concerns for their millions of users. Trying to…

密码学与安全 · 计算机科学 2014-06-17 Konstantinos Chatzikokolakis , Catuscia Palamidessi , Marco Stronati

Bootstrap is a common tool for quantifying uncertainty in data analysis. However, besides additional computational costs in the application of the bootstrap on massive data, a challenging problem in bootstrap based inference under…

机器学习 · 统计学 2025-05-05 Holger Dette , Carina Graw

Gaussian differential privacy (GDP) is a single-parameter family of privacy notions that provides coherent guarantees to avoid the exposure of sensitive individual information. Despite the extra interpretability and tighter bounds under…

密码学与安全 · 计算机科学 2022-10-18 Yi Liu , Ke Sun , Linglong Kong , Bei Jiang

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

When releasing binary proportions computed using sensitive data, several government agencies and other data stewards protect confidentiality of the underlying values by ensuring the released statistics satisfy differential privacy.…

统计方法学 · 统计学 2025-11-06 Hsuan-Chen Kao , Jerome P. Reiter

Gaussian processes (GPs) are non-parametric Bayesian models that are widely used for diverse prediction tasks. Previous work in adding strong privacy protection to GPs via differential privacy (DP) has been limited to protecting only the…

机器学习 · 计算机科学 2021-11-12 Antti Honkela , Laila Melkas

Deep learning models for NLP tasks are prone to variants of privacy attacks. To prevent privacy leakage, researchers have investigated word-level perturbations, relying on the formal guarantees of differential privacy (DP) in the embedding…

计算与语言 · 计算机科学 2024-10-11 Tianhao Huang , Tao Yang , Ivan Habernal , Lijie Hu , Di Wang

We introduce a novel privatization framework for high-dimensional controlled variable selection. Our framework enables rigorous False Discovery Rate (FDR) control under differential privacy constraints. While the Model-X knockoff procedure…

机器学习 · 统计学 2025-08-08 Yuxuan Tao , Adel Javanmard

The eligibility of various advanced quantum algorithms will be questioned if they can not guarantee privacy. To fill this knowledge gap, here we devise an efficient quantum differentially private (QDP) Lasso estimator to solve sparse…

量子物理 · 物理学 2022-05-31 Yuxuan Du , Min-Hsiu Hsieh , Tongliang Liu , Shan You , Dacheng Tao