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We consider the problem of estimating a regression function from anonymized data in the framework of local differential privacy. We propose a novel partitioning estimate of the regression function, derive a rate of convergence for the…

统计理论 · 数学 2023-04-12 László Györfi , Martin Kroll

We study the problem of discrete distribution estimation under utility-optimized local differential privacy (ULDP), which enforces local differential privacy (LDP) on sensitive data while allowing more accurate inference on non-sensitive…

密码学与安全 · 计算机科学 2025-09-30 Sun-Moon Yoon , Hyun-Young Park , Seung-Hyun Nam , Si-Hyeon Lee

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

密码学与安全 · 计算机科学 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

Dependent data underlies many statistical studies in the social and health sciences, which often involve sensitive or private information. Differential privacy (DP) and in particular \textit{user-level} DP provide a natural formalization of…

机器学习 · 统计学 2025-11-26 Valentin Roth , Marco Avella-Medina

In statistical learning and analysis from shared data, which is increasingly widely adopted in platforms such as federated learning and meta-learning, there are two major concerns: privacy and robustness. Each participating individual…

机器学习 · 计算机科学 2021-11-25 Xiyang Liu , Weihao Kong , Sham Kakade , Sewoong Oh

Differential privacy is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

密码学与安全 · 计算机科学 2008-09-30 Adam Smith

Differentially private federated learning is crucial for maintaining privacy in distributed environments. This paper investigates the challenges of high-dimensional estimation and inference under the constraints of differential privacy.…

机器学习 · 统计学 2024-04-26 Zhe Zhang , Ryumei Nakada , Linjun Zhang

Differentially private distributed mean estimation (DP-DME) is a fundamental building block in privacy-preserving federated learning, where a central server estimates the mean of $d$-dimensional vectors held by $n$ users while ensuring…

信息论 · 计算机科学 2025-01-09 Sajani Vithana , Viveck R. Cadambe , Flavio P. Calmon , Haewon Jeong

Differential privacy is widely adopted to provide provable privacy guarantees in data analysis. We consider the problem of combining public and private data (and, more generally, data with heterogeneous privacy needs) for estimating…

机器学习 · 计算机科学 2021-11-02 Cecilia Ferrando , Jennifer Gillenwater , Alex Kulesza

Local Differential Privacy (LDP) addresses significant privacy concerns in sensitive data collection. In this work, we focus on numerical data collection under LDP, targeting a significant gap in the literature: existing LDP mechanisms are…

密码学与安全 · 计算机科学 2025-10-14 Incheol Baek , Yon Dohn Chung

Working under a model of privacy in which data remains private even from the statistician, we study the tradeoff between privacy guarantees and the risk of the resulting statistical estimators. We develop private versions of classical…

统计理论 · 数学 2017-11-16 John Duchi , Martin Wainwright , Michael Jordan

The ubiquity of distributed machine learning (ML) in sensitive public domain applications calls for algorithms that protect data privacy, while being robust to faults and adversarial behaviors. Although privacy and robustness have been…

机器学习 · 计算机科学 2023-05-30 Youssef Allouah , Rachid Guerraoui , Nirupam Gupta , Rafael Pinot , John Stephan

We investigate a problem of finding the minimum, in which each user has a real value and we want to estimate the minimum of these values under the local differential privacy constraint. We reveal that this problem is fundamentally…

统计理论 · 数学 2019-05-28 Kazuto Fukuchi , Chia-Mu Yu , Arashi Haishima , Jun Sakuma

We consider the problem of distributed mean estimation (DME), in which $n$ machines are each given a local $d$-dimensional vector $x_v \in \mathbb{R}^d$, and must cooperate to estimate the mean of their inputs $\mu = \frac 1n\sum_{v = 1}^n…

机器学习 · 计算机科学 2021-04-08 Peter Davies , Vijaykrishna Gurunathan , Niusha Moshrefi , Saleh Ashkboos , Dan Alistarh

Statistics about traffic flow and people's movement gathered from multiple geographical locations in a distributed manner are the driving force powering many applications, such as traffic prediction, demand prediction, and restaurant…

密码学与安全 · 计算机科学 2024-02-20 Tatsuki Koga , Casey Meehan , Kamalika Chaudhuri

Average consensus plays a key role in distributed networks, with applications ranging from time synchronization, information fusion, load balancing, to decentralized control. Existing average consensus algorithms require individual agents…

多智能体系统 · 计算机科学 2022-01-06 Huan Gao , Yongqiang Wang

We consider the problem of privately estimating a parameter $\mathbb{E}[h(X_1,\dots,X_k)]$, where $X_1$, $X_2$, $\dots$, $X_k$ are i.i.d. data from some distribution and $h$ is a permutation-invariant function. Without privacy constraints,…

统计理论 · 数学 2024-07-09 Kamalika Chaudhuri , Po-Ling Loh , Shourya Pandey , Purnamrita Sarkar

Differential Privacy (DP) provides an elegant mathematical framework for defining a provable disclosure risk in the presence of arbitrary adversaries; it guarantees that whether an individual is in a database or not, the results of a DP…

密码学与安全 · 计算机科学 2021-08-19 Aleksandra Slavkovic , Roberto Molinari

Many analysis and machine learning tasks require the availability of marginal statistics on multidimensional datasets while providing strong privacy guarantees for the data subjects. Applications for these statistics range from finding…

数据库 · 计算机科学 2017-11-09 Tejas Kulkarni , Graham Cormode , Divesh Srivastava

LDP (Local Differential Privacy) has been widely studied to estimate statistics of personal data (e.g., distribution underlying the data) while protecting users' privacy. Although LDP does not require a trusted third party, it regards all…

数据库 · 计算机科学 2019-05-28 Takao Murakami , Yusuke Kawamoto