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In the recent years, Local Differential Privacy (LDP) has been one of the corner stone of privacy preserving data analysis. However, many challenges still opposes its widespread application. One of these problems is the scalability of LDP…

密码学与安全 · 计算机科学 2022-06-15 Thomas Carette

Motivated by the 2020 US Census products, this paper extends differential privacy (DP) to address the joint release of DP outputs and nonprivate statistics, referred to as invariant. Our framework, Semi-DP, redefines adjacency by focusing…

密码学与安全 · 计算机科学 2024-10-24 Young Hyun Cho , Jordan Awan

Differential privacy (DP) considers a scenario, where an adversary has almost complete information about the entries of a database This worst-case assumption is likely to overestimate the privacy thread for an individual in real life.…

密码学与安全 · 计算机科学 2025-04-16 Dennis Breutigam , Rüdiger Reischuk

We give the first polynomial time and sample $(\epsilon, \delta)$-differentially private (DP) algorithm to estimate the mean, covariance and higher moments in the presence of a constant fraction of adversarial outliers. Our algorithm…

机器学习 · 统计学 2021-12-08 Pravesh K. Kothari , Pasin Manurangsi , Ameya Velingker

We propose a general privacy-preserving optimization-based framework for real-time environments without requiring trusted data curators. In particular, we introduce a noisy stochastic gradient descent algorithm for online statistical…

统计方法学 · 统计学 2025-06-11 Jinhan Xie , Enze Shi , Bei Jiang , Linglong Kong , Xuming He

A major challenge for machine learning is increasing the availability of data while respecting the privacy of individuals. Here we combine the provable privacy guarantees of the differential privacy framework with the flexibility of…

机器学习 · 统计学 2019-01-18 Michael Thomas Smith , Max Zwiessele , Neil D. Lawrence

Differential Privacy (DP) has become a gold standard in privacy-preserving data analysis. While it provides one of the most rigorous notions of privacy, there are many settings where its applicability is limited. Our main contribution is in…

密码学与安全 · 计算机科学 2021-10-20 Aman Bansal , Rahul Chunduru , Deepesh Data , Manoj Prabhakaran

In data-driven applications, preserving user privacy while enabling valuable computations remains a critical challenge. Technologies like differential privacy have been pivotal in addressing these concerns. The shuffle model of DP requires…

密码学与安全 · 计算机科学 2025-04-15 Shaowei Wang , Changyu Dong , Xiangfu Song , Jin Li , Zhili Zhou , Di Wang , Han Wu

Based on binary inquiries, we developed an algorithm to estimate population quantiles under Local Differential Privacy (LDP). By self-normalizing, our algorithm provides asymptotically normal estimation with valid inference, resulting in…

统计方法学 · 统计学 2023-08-08 Yi Liu , Qirui Hu , Lei Ding , Bei Jiang , Linglong Kong

We revisit the problem of linear regression under a differential privacy constraint. By consolidating existing pieces in the literature, we clarify the correct dependence of the feature, label and coefficient domains in the optimization…

机器学习 · 统计学 2018-07-10 Yu-Xiang Wang

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses. One important tool is the so-called "privacy amplification by subsampling" principle, which ensures that a differentially private…

机器学习 · 计算机科学 2018-11-26 Borja Balle , Gilles Barthe , Marco Gaboardi

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

Reduced numerical precision is a common technique to reduce computational cost in many Deep Neural Networks (DNNs). While it has been observed that DNNs are resilient to small errors and noise, no general result exists that is capable of…

机器学习 · 统计学 2018-05-04 Zhaoqi Li , Yu Ma , Catalina Vajiac , Yunkai Zhang

We study the problem of estimating the parameters of a Boolean product distribution in $d$ dimensions, when the samples are truncated by a set $S \subset \{0, 1\}^d$ accessible through a membership oracle. This is the first time that the…

机器学习 · 计算机科学 2026-05-05 Dimitris Fotakis , Alkis Kalavasis , Christos Tzamos

We propose a general optimization-based framework for computing differentially private M-estimators and a new method for constructing differentially private confidence regions. Firstly, we show that robust statistics can be used in…

统计理论 · 数学 2023-12-14 Marco Avella-Medina , Casey Bradshaw , Po-Ling Loh

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 performing counting queries at different levels in hierarchical structures while preserving individuals' privacy. Motivated by applications, we propose a new error measure for this problem by considering a…

数据结构与算法 · 计算机科学 2023-04-28 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Kewen Wu

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

最优化与控制 · 数学 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

Federated analytics seeks to compute accurate statistics from data distributed across users' devices while providing a suitable privacy guarantee and being practically feasible to implement and scale. In this paper, we show how a strong…

密码学与安全 · 计算机科学 2022-03-10 Akash Bharadwaj , Graham Cormode

We develop differentially private methods for estimating various distributional properties. Given a sample from a discrete distribution $p$, some functional $f$, and accuracy and privacy parameters $\alpha$ and $\varepsilon$, the goal is to…

数据结构与算法 · 计算机科学 2018-03-02 Jayadev Acharya , Gautam Kamath , Ziteng Sun , Huanyu Zhang