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Privacy concerns with sensitive data are receiving increasing attention. In this paper, we study local differential privacy (LDP) in interactive decentralized optimization. By constructing random local aggregators, we propose a framework to…

最优化与控制 · 数学 2019-06-04 Hanshen Xiao , Yu Ye , Srinivas Devadas

In recent years, differential privacy has emerged as the de facto standard for sharing statistics of datasets while limiting the disclosure of private information about the involved individuals. This is achieved by randomly perturbing the…

密码学与安全 · 计算机科学 2024-12-18 Aras Selvi , Huikang Liu , Wolfram Wiesemann

Differential privacy (DP) is a formal notion that restricts the privacy leakage of an algorithm when running on sensitive data, in which privacy-utility trade-off is one of the central problems in private data analysis. In this work, we…

机器学习 · 计算机科学 2025-03-18 Bo Li , Wei Wang , Peng Ye

Although robust learning and local differential privacy are both widely studied fields of research, combining the two settings is just starting to be explored. We consider the problem of estimating a discrete distribution in total variation…

统计理论 · 数学 2022-04-21 Julien Chhor , Flore Sentenac

Distributed online learning is gaining increased traction due to its unique ability to process large-scale datasets and streaming data. To address the growing public awareness and concern on privacy protection, plenty of algorithms have…

机器学习 · 计算机科学 2024-08-27 Ziqin Chen , Yongqiang Wang

We study the fundamental problem of frequency estimation under both privacy and communication constraints, where the data is distributed among $k$ parties. We consider two application scenarios: (1) one-shot, where the data is static and…

密码学与安全 · 计算机科学 2021-06-01 Ziyue Huang , Yuan Qiu , Ke Yi , Graham Cormode

Differentially private (DP) mechanisms face the challenge of providing accurate results while protecting their inputs: the privacy-utility trade-off. A simple but powerful technique for DP adds noise to sensitivity-bounded query outputs to…

密码学与安全 · 计算机科学 2021-07-28 David M. Sommer , Lukas Abfalterer , Sheila Zingg , Esfandiar Mohammadi

Differential privacy is increasingly formalized through the lens of hypothesis testing via the robust and interpretable $f$-DP framework, where privacy guarantees are encoded by a baseline Blackwell trade-off function $f_{\infty} =…

统计理论 · 数学 2025-12-02 Aaradhya Pandey , Arian Maleki , Sanjeev Kulkarni

We consider a refinement of differential privacy --- per instance differential privacy (pDP), which captures the privacy of a specific individual with respect to a fixed data set. We show that this is a strict generalization of the standard…

机器学习 · 统计学 2018-11-15 Yu-Xiang Wang

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

Local Differential Privacy (LDP) has become the de facto standard for privacy-preserving data collection in large-scale systems, in particular for the purpose of estimating frequencies. However, the current research landscape lacks a…

密码学与安全 · 计算机科学 2026-05-27 Ramon G. Gonze , Natasha Fernandes , Heber H. Arcolezi , Catuscia Palamidessi , Nataliia Bielova

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

The integration of Differential Privacy (DP) with diffusion models (DMs) presents a promising yet challenging frontier, particularly due to the substantial memorization capabilities of DMs that pose significant privacy risks. Differential…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Yu-Lin Tsai , Yizhe Li , Zekai Chen , Po-Yu Chen , Chia-Mu Yu , Xuebin Ren , Francois Buet-Golfouse

We develop a theory of asymptotic efficiency in regular parametric models when data confidentiality is ensured by local differential privacy (LDP). Even though efficient parameter estimation is a classical and well-studied problem in…

统计理论 · 数学 2024-03-08 Lukas Steinberger

We study the fundamental problems of identity testing (goodness of fit), and closeness testing (two sample test) of distributions over $k$ elements, under differential privacy. While the problems have a long history in statistics, finite…

机器学习 · 计算机科学 2017-11-01 Jayadev Acharya , Ziteng Sun , Huanyu Zhang

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

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

Given a dataset of $n$ i.i.d. samples from an unknown distribution $P$, we consider the problem of generating a sample from a distribution that is close to $P$ in total variation distance, under the constraint of differential privacy (DP).…

数据结构与算法 · 计算机科学 2023-06-23 Badih Ghazi , Xiao Hu , Ravi Kumar , Pasin Manurangsi

Differential privacy is a notion of privacy that has become very popular in the database community. Roughly, the idea is that a randomized query mechanism provides sufficient privacy protection if the ratio between the probabilities that…

We initiate an investigation of node differential privacy for graphs in the local model of private data analysis. In our model, dubbed LNDP*, each node sees its own edge list and releases the output of a local randomizer on this input.…

数据结构与算法 · 计算机科学 2026-04-03 Sofya Raskhodnikova , Adam Smith , Connor Wagaman , Anatoly Zavyalov