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We study statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for…

Machine Learning · Statistics 2025-10-15 Maryam Aliakbarpour , Alireza Fallah , Swaha Roy , Ria Stevens

In this paper we study the problem of estimating the unknown mean $\theta$ of a unit variance Gaussian distribution in a locally differentially private (LDP) way. In the high-privacy regime ($\epsilon\le 1$), we identify an optimal privacy…

Statistics Theory · Mathematics 2025-03-06 Nikita P. Kalinin , Lukas Steinberger

The private collection of multiple statistics from a population is a fundamental statistical problem. One possible approach to realize this is to rely on the local model of differential privacy (LDP). Numerous LDP protocols have been…

Cryptography and Security · Computer Science 2023-08-02 Héber H. Arcolezi , Sébastien Gambs , Jean-François Couchot , Catuscia Palamidessi

Federated learning (FL), which has gained increasing attention recently, enables distributed devices to train a common machine learning (ML) model for intelligent inference cooperatively without data sharing. However, problems in practical…

Machine Learning · Computer Science 2022-11-01 Yujie Zhou , Zhidu Li , Tong Tang , Ruyan Wang

We provide the first convergence analysis of local gradient descent for minimizing the average of smooth and convex but otherwise arbitrary functions. Problems of this form and local gradient descent as a solution method are of importance…

Machine Learning · Computer Science 2020-03-19 Ahmed Khaled , Konstantin Mishchenko , Peter Richtárik

Stochastic Gradient Descent (SGD) is a widely used tool in machine learning. In the context of Differential Privacy (DP), SGD has been well studied in the last years in which the focus is mainly on convergence rates and privacy guarantees.…

Machine Learning · Statistics 2024-05-22 Holger Dette , Carina Graw

Federated learning enables distributed clients to collaborate on training while storing their data locally to protect client privacy. However, due to the heterogeneity of data, models, and devices, the final global model may need to perform…

Machine Learning · Computer Science 2024-06-25 Wolong Xing , Zhenkui Shi , Hongyan Peng , Xiantao Hu , Xianxian Li

In recent years, Local Differential Privacy (LDP), a robust privacy-preserving methodology, has gained widespread adoption in real-world applications. With LDP, users can perturb their data on their devices before sending it out for…

Machine Learning · Computer Science 2023-08-02 Héber H. Arcolezi , Karima Makhlouf , Catuscia Palamidessi

Differential Privacy (DP) provides a formal framework for training machine learning models with individual example level privacy. In the field of deep learning, Differentially Private Stochastic Gradient Descent (DP-SGD) has emerged as a…

Machine Learning · Computer Science 2022-05-24 Harsh Mehta , Abhradeep Thakurta , Alexey Kurakin , Ashok Cutkosky

Federated learning (FL) has emerged as a privacy solution for collaborative distributed learning where clients train AI models directly on their devices instead of sharing their data with a centralized (potentially adversarial) server.…

Machine Learning · Computer Science 2022-09-08 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

Although federated learning improves privacy of training data by exchanging local gradients or parameters rather than raw data, the adversary still can leverage local gradients and parameters to obtain local training data by launching…

Machine Learning · Computer Science 2021-08-17 Xue Yang , Yan Feng , Weijun Fang , Jun Shao , Xiaohu Tang , Shu-Tao Xia , Rongxing Lu

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

Machine Learning · Computer Science 2022-03-08 Edwige Cyffers , Aurélien Bellet

Federated learning (FL) enables collaborative model training through model parameter exchanges instead of raw data. To avoid potential inference attacks from exchanged parameters, differential privacy (DP) offers rigorous guarantee against…

Cryptography and Security · Computer Science 2025-01-14 Shu Hong , Xiaojun Lin , Lingjie Duan

When collecting information, local differential privacy (LDP) relieves the concern of privacy leakage from users' perspective, as user's private information is randomized before sent to the aggregator. We study the problem of recovering the…

Cryptography and Security · Computer Science 2019-12-04 Zitao Li , Tianhao Wang , Milan Lopuhaä-Zwakenberg , Boris Skoric , Ninghui Li

With local differential privacy (LDP), users can privatize their data and thus guarantee privacy properties before transmitting it to the server (a.k.a. the aggregator). One primary objective of LDP is frequency (or histogram) estimation,…

Cryptography and Security · Computer Science 2021-09-16 Héber H. Arcolezi , Jean-François Couchot , Bechara Al Bouna , Xiaokui Xiao

We initiate the study of locally differentially private (LDP) learning with public features. We define semi-feature LDP, where some features are publicly available while the remaining ones, along with the label, require protection under…

Machine Learning · Statistics 2025-02-12 Yuheng Ma , Ke Jia , Hanfang Yang

Federated learning (FL) enables distributed clients to collaboratively train a machine learning model without sharing raw data with each other. However, it suffers the leakage of private information from uploading models. In addition, as…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-25 Kang Wei , Jun Li , Chuan Ma , Ming Ding , Feng Shu , Haitao Zhao , Wen Chen , Hongbo Zhu

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.…

Data Structures and Algorithms · Computer Science 2026-04-03 Sofya Raskhodnikova , Adam Smith , Connor Wagaman , Anatoly Zavyalov

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…

Cryptography and Security · Computer Science 2025-09-30 Sun-Moon Yoon , Hyun-Young Park , Seung-Hyun Nam , Si-Hyeon Lee

Federated learning (FL) is a distributed machine learning technique designed to preserve data privacy and security, and it has gained significant importance due to its broad range of applications. This paper addresses the problem of optimal…

Statistics Theory · Mathematics 2025-01-16 Tony Cai , Abhinav Chakraborty , Lasse Vuursteen