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Machine learning models are known to memorize private data to reduce their training loss, which can be inadvertently exploited by privacy attacks such as model inversion and membership inference. To protect against these attacks,…

Machine Learning · Computer Science 2023-11-30 Jie Fu , Qingqing Ye , Haibo Hu , Zhili Chen , Lulu Wang , Kuncan Wang , Xun Ran

We propose an online debiased lasso (ODL) method for statistical inference in high-dimensional linear models with streaming data. The proposed ODL consists of an efficient computational algorithm for streaming data and approximately normal…

Statistics Theory · Mathematics 2021-08-20 Ruijian Han , Lan Luo , Yuanyuan Lin , Jian Huang

Decentralized optimization is crucial for multi-agent systems, with significant concerns about communication efficiency and privacy. This paper explores the role of efficient communication in decentralized stochastic gradient descent…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi

A continuing challenge for machine learning is providing methods to perform computation on data while ensuring the data remains private. In this paper we build on the provable privacy guarantees of differential privacy which has been…

Machine Learning · Computer Science 2019-09-23 Michael Thomas Smith , Mauricio A. Alvarez , Neil D. Lawrence

Numerical linear algebra plays an important role in computer science. In this paper, we initiate the study of performing linear algebraic tasks while preserving privacy when the data is streamed online. Our main focus is the space…

Data Structures and Algorithms · Computer Science 2017-10-26 Jalaj Upadhyay

We study private prediction where differential privacy is achieved by adding noise to the outputs of a non-private model. Existing methods rely on noise proportional to the global sensitivity of the model, often resulting in sub-optimal…

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

Statistics Theory · Mathematics 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

A well-known algorithm in privacy-preserving ML is differentially private stochastic gradient descent (DP-SGD). While this algorithm has been evaluated on text and image data, it has not been previously applied to ads data, which are…

Gradient perturbation, widely used for differentially private optimization, injects noise at every iterative update to guarantee differential privacy. Previous work first determines the noise level that can satisfy the privacy requirement…

Machine Learning · Computer Science 2020-10-27 Da Yu , Huishuai Zhang , Wei Chen , Tie-Yan Liu , Jian Yin

Differentially private stochastic gradient descent privatizes model training by injecting noise into each iteration, where the noise magnitude increases with the number of model parameters. Recent works suggest that we can reduce the noise…

Machine Learning · Statistics 2025-07-25 Xin Gu , Gautam Kamath , Zhiwei Steven Wu

Differential privacy is a rigorous definition for privacy that guarantees that any analysis performed on a sensitive dataset leaks no information about the individuals whose data are contained therein. In this work, we develop new…

Cryptography and Security · Computer Science 2021-11-18 Vassilis Digalakis , George N. Karystinos , Minos N. Garofalakis

In this paper, we establish the almost sure convergence of two-timescale stochastic gradient descent algorithms in continuous time under general noise and stability conditions, extending well known results in discrete time. We analyse…

Optimization and Control · Mathematics 2021-10-01 Louis Sharrock , Nikolas Kantas

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

Traditional static functional data analysis is facing new challenges due to streaming data, where data constantly flow in. A major challenge is that storing such an ever-increasing amount of data in memory is nearly impossible. In addition,…

Methodology · Statistics 2023-10-11 Jinhan Xie , Enze Shi , Peijun Sang , Zuofeng Shang , Bei Jiang , Linglong Kong

This work proposes an algorithmic method to verify differential privacy for estimation mechanisms with performance guarantees. Differential privacy makes it hard to distinguish outputs of a mechanism produced by adjacent inputs. While…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Yunhai Han , Sonia Martínez

In this paper, we investigate the differentially private estimation of data depth functions and their associated medians. We introduce several methods for privatizing depth values at a fixed point, and show that for some depth functions,…

Statistics Theory · Mathematics 2021-04-09 Kelly Ramsay , Shoja'eddin Chenouri

This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

Methodology · Statistics 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

We provide an improved analysis of standard differentially private gradient descent for linear regression under the squared error loss. Under modest assumptions on the input, we characterize the distribution of the iterate at each time…

Machine Learning · Computer Science 2024-02-22 Gavin Brown , Krishnamurthy Dvijotham , Georgina Evans , Daogao Liu , Adam Smith , Abhradeep Thakurta

In order to remain competitive, Internet companies collect and analyse user data for the purpose of improving user experiences. Frequency estimation is a widely used statistical tool which could potentially conflict with the relevant…

Cryptography and Security · Computer Science 2021-04-14 Mengmeng Yang , Ivan Tjuawinata , Kwok-Yan Lam , Tianqing Zhu , Jun Zhao

This paper investigates the problem of forecasting multivariate aggregated human mobility while preserving the privacy of the individuals concerned. Differential privacy, a state-of-the-art formal notion, has been used as the privacy…

Machine Learning · Computer Science 2022-06-06 Héber H. Arcolezi , Jean-François Couchot , Denis Renaud , Bechara Al Bouna , Xiaokui Xiao
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