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We study the problem of releasing the weights of all-pair shortest paths in a weighted undirected graph with differential privacy (DP). In this setting, the underlying graph is fixed and two graphs are neighbors if their edge weights differ…

数据结构与算法 · 计算机科学 2022-03-31 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Jelani Nelson

Differentially private stochastic gradient descent (DP-SGD) is a standard approach to privacy-preserving learning based on per-example clipping, subsampling, Gaussian perturbation, and privacy accounting. Classical DP-SGD releases a noisy…

密码学与安全 · 计算机科学 2026-05-12 Mohammad Partohaghighi , Roummel Marcia

Differential privacy (DP) is a formal notion for quantifying the privacy loss of algorithms. Algorithms in the central model of DP achieve high accuracy but make the strongest trust assumptions whereas those in the local DP model make the…

密码学与安全 · 计算机科学 2021-06-09 Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Rasmus Pagh

Distributed aggregative optimization underpins many cooperative optimization and multi-agent control systems, where each agent's objective function depends both on its local optimization variable and an aggregate of all agents' optimization…

系统与控制 · 电气工程与系统科学 2026-03-30 Ziqin Chen , Yongqiang Wang

The Gaussian mechanism is an essential building block used in multitude of differentially private data analysis algorithms. In this paper we revisit the Gaussian mechanism and show that the original analysis has several important…

机器学习 · 计算机科学 2018-06-08 Borja Balle , Yu-Xiang Wang

Motivated by growing concerns over ensuring privacy on social networks, we develop new algorithms and impossibility results for fitting complex statistical models to network data subject to rigorous privacy guarantees. We consider the…

统计理论 · 数学 2018-10-05 Christian Borgs , Jennifer Chayes , Adam Smith , Ilias Zadik

We propose a novel algorithm to ensure $\epsilon$-differential privacy for answering range queries on trajectory data. In order to guarantee privacy, differential privacy mechanisms add noise to either data or query, thus introducing errors…

数据库 · 计算机科学 2019-07-19 Soheila Ghane , Lars Kulik , Kotagiri Ramamohanarao

Two major challenges in distributed learning and estimation are 1) preserving the privacy of the local samples; and 2) communicating them efficiently to a central server, while achieving high accuracy for the end-to-end task. While there…

机器学习 · 计算机科学 2021-04-23 Wei-Ning Chen , Peter Kairouz , Ayfer Özgür

Local differential privacy is a differential privacy paradigm in which individuals first apply a privacy mechanism to their data (often by adding noise) before transmitting the result to a curator. The noise for privacy results in…

统计方法学 · 统计学 2023-10-17 Yuki Ohnishi , Jordan Awan

We design a class of additive noise mechanisms that satisfy \((\varepsilon, \delta)\)-differential privacy (DP) for scalar, real-valued query functions with known sensitivities, with a particular focus on moderate and low-privacy regimes.…

密码学与安全 · 计算机科学 2026-05-28 Huikang Liu , Aras Selvi , Wolfram Wiesemann

Given a collection of vectors $x^{(1)},\dots,x^{(n)} \in \{0,1\}^d$, the selection problem asks to report the index of an "approximately largest" entry in $x=\sum_{j=1}^n x^{(j)}$. Selection abstracts a host of problems--in machine learning…

密码学与安全 · 计算机科学 2023-06-09 Ivan Damgård , Hannah Keller , Boel Nelson , Claudio Orlandi , Rasmus Pagh

Modern machine learning algorithms aim to extract fine-grained information from data to provide accurate predictions, which often conflicts with the goal of privacy protection. This paper addresses the practical and theoretical importance…

机器学习 · 统计学 2023-07-17 Puyu Wang , Yunwen Lei , Yiming Ying , Ding-Xuan Zhou

Local differential privacy (LDP) has been deemed as the de facto measure for privacy-preserving distributed data collection and analysis. Recently, researchers have extended LDP to the basic data type in NoSQL systems: the key-value data,…

密码学与安全 · 计算机科学 2019-07-12 Lin Sun , Jun Zhao , Xiaojun Ye , Shuo Feng , Teng Wang , Tao Bai

In the context of distributed fusion estimation, directly transmitting local estimates to the fusion center may cause a privacy leakage concerning exogenous inputs. Thus, it is crucial to protect exogenous inputs against full eavesdropping…

系统与控制 · 电气工程与系统科学 2025-12-30 Liping Guo , Jimin Wang , Yanlong Zhao , Ji-Feng Zhang

Voting plays a central role in bringing crowd wisdom to collective decision making, meanwhile data privacy has been a common ethical/legal issue in eliciting preferences from individuals. This work studies the problem of aggregating…

密码学与安全 · 计算机科学 2019-08-15 Shaowei Wang , Jiachun Du , Wei Yang , Xinrong Diao , Zichun Liu , Yiwen Nie , Liusheng Huang , Hongli Xu

We show that convex-concave Lipschitz stochastic saddle point problems (also known as stochastic minimax optimization) can be solved under the constraint of $(\epsilon,\delta)$-differential privacy with \emph{strong (primal-dual) gap} rate…

机器学习 · 计算机科学 2023-06-30 Raef Bassily , Cristóbal Guzmán , Michael Menart

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

This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

系统与控制 · 电气工程与系统科学 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

We consider the problem of clustering privately a dataset in $\mathbb{R}^d$ that undergoes both insertion and deletion of points. Specifically, we give an $\varepsilon$-differentially private clustering mechanism for the $k$-means objective…

数据结构与算法 · 计算机科学 2023-07-28 Max Dupré la Tour , Monika Henzinger , David Saulpic

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