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In this paper, we study what price one has to pay to release {\em differentially private low-rank factorization} of a matrix. We consider various settings that are close to the real world applications of low-rank factorization: (i) the…

Data Structures and Algorithms · Computer Science 2018-04-19 Jalaj Upadhyay

We consider the problem of continually releasing an estimate of the population mean of a stream of samples that is user-level differentially private (DP). At each time instant, a user contributes a sample, and the users can arrive in…

Machine Learning · Computer Science 2022-12-21 Anand Jerry George , Lekshmi Ramesh , Aditya Vikram Singh , Himanshu Tyagi

We propose and analyze algorithms to solve a range of learning tasks under user-level differential privacy constraints. Rather than guaranteeing only the privacy of individual samples, user-level DP protects a user's entire contribution ($m…

Machine Learning · Computer Science 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

A key challenge in many modern data analysis tasks is that user data are heterogeneous. Different users may possess vastly different numbers of data points. More importantly, it cannot be assumed that all users sample from the same…

Cryptography and Security · Computer Science 2023-08-01 Rachel Cummings , Vitaly Feldman , Audra McMillan , Kunal Talwar

The matrix factorization (MF) technique has been widely adopted for solving the rating prediction problem in recommender systems. The MF technique utilizes the latent factor model to obtain static user preferences (user latent vectors) and…

Social and Information Networks · Computer Science 2015-10-20 Yung-Yin Lo , Wanjiun Liao , Cheng-Shang Chang

Privacy-preserving data analysis is a rising challenge in contemporary statistics, as the privacy guarantees of statistical methods are often achieved at the expense of accuracy. In this paper, we investigate the tradeoff between…

Machine Learning · Statistics 2020-11-11 T. Tony Cai , Yichen Wang , Linjun Zhang

Differential privacy is a promising privacy-preserving paradigm for statistical query processing over sensitive data. It works by injecting random noise into each query result, such that it is provably hard for the adversary to infer the…

Databases · Computer Science 2015-02-27 Ganzhao Yuan , Zhenjie Zhang , Marianne Winslett , Xiaokui Xiao , Yin Yang , Zhifeng Hao

Matrix factorization (MF) is extensively used to mine the user preference from explicit ratings in recommender systems. However, the reliability of explicit ratings is not always consistent, because many factors may affect the user's final…

Information Retrieval · Computer Science 2018-06-25 Zhipeng Wu , Hui Tian , Xuzhen Zhu , Shuo Wang

Privacy protection has become an increasingly pressing requirement in distributed optimization. However, equipping distributed optimization with differential privacy, the state-of-the-art privacy protection mechanism, will unavoidably…

Optimization and Control · Mathematics 2023-04-28 Yu Xuan , Yongqiang Wang

Many commonly used learning algorithms work by iteratively updating an intermediate solution using one or a few data points in each iteration. Analysis of differential privacy for such algorithms often involves ensuring privacy of each step…

Machine Learning · Computer Science 2018-12-12 Vitaly Feldman , Ilya Mironov , Kunal Talwar , Abhradeep Thakurta

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional DP formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world…

Cryptography and Security · Computer Science 2023-05-18 Syomantak Chaudhuri , Thomas A. Courtade

Matrix Factorization has been very successful in practical recommendation applications and e-commerce. Due to data shortage and stringent regulations, it can be hard to collect sufficient data to build performant recommender systems for a…

Cryptography and Security · Computer Science 2020-07-06 Dashan Gao , Ben Tan , Ce Ju , Vincent W. Zheng , Qiang Yang

We study differentially private mean estimation in a high-dimensional setting. Existing differential privacy techniques applied to large dimensions lead to computationally intractable problems or estimators with excessive privacy loss.…

Machine Learning · Computer Science 2020-07-23 Aditya Dhar , Jason Huang

In this work, we introduce a new approach for statistical quantification of differential privacy in a black box setting. We present estimators and confidence intervals for the optimal privacy parameter of a randomized algorithm $A$, as well…

Cryptography and Security · Computer Science 2022-05-03 Önder Askin , Tim Kutta , Holger Dette

Differential privacy has become a widely accepted notion of privacy, leading to the introduction and deployment of numerous privatization mechanisms. However, ensuring the privacy guarantee is an error-prone process, both in designing…

Information Theory · Computer Science 2019-05-27 Xiyang Liu , Sewoong Oh

Motivated by recent applications requiring differential privacy over adaptive streams, we investigate the question of optimal instantiations of the matrix mechanism in this setting. We prove fundamental theoretical results on the…

Machine Learning · Computer Science 2023-01-19 Sergey Denisov , Brendan McMahan , Keith Rush , Adam Smith , Abhradeep Guha Thakurta

In this paper, we study the problem of precision matrix estimation when the dataset contains sensitive information. In the differential privacy framework, we develop a differentially private ridge estimator by perturbing the sample…

Machine Learning · Statistics 2019-09-09 Wenqing Su , Xiao Guo , Hai Zhang

Differential privacy is a promising privacy-preserving paradigm for statistical query processing over sensitive data. It works by injecting random noise into each query result, such that it is provably hard for the adversary to infer the…

Databases · Computer Science 2012-12-12 Ganzhao Yuan , Zhenjie Zhang , Marianne Winslett , Xiaokui Xiao , Yin Yang , Zhifeng Hao

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…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Liping Guo , Jimin Wang , Yanlong Zhao , Ji-Feng Zhang

Differential privacy (DP) is a rigorous notion of data privacy, used for private statistics. The canonical algorithm for differentially private mean estimation is to first clip the samples to a bounded range and then add noise to their…

Statistics Theory · Mathematics 2024-10-10 Gautam Kamath , Argyris Mouzakis , Matthew Regehr , Vikrant Singhal , Thomas Steinke , Jonathan Ullman