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Linear $L_1$-regularized models have remained one of the simplest and most effective tools in data analysis, especially in information retrieval problems where n-grams over text with TF-IDF or Okapi feature values are a strong and easy…

Machine Learning · Computer Science 2023-03-21 Amol Khanna , Fred Lu , Edward Raff

Economics and social science research often require analyzing datasets of sensitive personal information at fine granularity, with models fit to small subsets of the data. Unfortunately, such fine-grained analysis can easily reveal…

Machine Learning · Computer Science 2020-07-13 Daniel Alabi , Audra McMillan , Jayshree Sarathy , Adam Smith , Salil Vadhan

Linear regression is a fundamental tool for statistical analysis, which has motivated the development of linear regression methods that satisfy provable privacy guarantees so that the learned model reveals little about any one data point…

Machine Learning · Computer Science 2026-01-01 Hillary Yang , Yuntao Du

Linear regression is an important tool across many fields that work with sensitive human-sourced data. Significant prior work has focused on producing differentially private point estimates, which provide a privacy guarantee to individuals…

Machine Learning · Computer Science 2019-10-30 Garrett Bernstein , Daniel Sheldon

In statistical disclosure control, the goal of data analysis is twofold: The released information must provide accurate and useful statistics about the underlying population of interest, while minimizing the potential for an individual…

Methodology · Statistics 2016-07-15 Jing Lei , Anne-Sophie Charest , Aleksandra Slavkovic , Adam Smith , Stephen Fienberg

We consider the problem of fitting a linear model to data held by individuals who are concerned about their privacy. Incentivizing most players to truthfully report their data to the analyst constrains our design to mechanisms that provide…

Computer Science and Game Theory · Computer Science 2015-06-12 Rachel Cummings , Stratis Ioannidis , Katrina Ligett

There has been increasing demand for establishing privacy-preserving methodologies for modern statistics and machine learning. Differential privacy, a mathematical notion from computer science, is a rising tool offering robust privacy…

Methodology · Statistics 2024-05-09 Shurong Lin , Elliot Paquette , Eric D. Kolaczyk

Linear regression is frequently applied in a variety of domains, some of which might contain sensitive information. This necessitates that the application of these methods does not reveal private information. Differentially private (DP)…

Machine Learning · Computer Science 2025-12-01 Shrutimoy Das , Debanuj Nayak , Anirban Dasgupta

This paper presents a differentially private algorithm for linear regression learning in a decentralized fashion. Under this algorithm, privacy budget is theoretically derived, in addition to that the solution error is shown to be bounded…

Cryptography and Security · Computer Science 2020-04-17 Yang Liu , Xiong Zhang , Shuqi Qin , Xiaoping Lei

Linear models are ubiquitous in data science, but are particularly prone to overfitting and data memorization in high dimensions. To guarantee the privacy of training data, differential privacy can be used. Many papers have proposed…

Machine Learning · Computer Science 2024-04-02 Amol Khanna , Edward Raff , Nathan Inkawhich

Differential Privacy (DP) provides a rigorous framework for releasing statistics while protecting individual information present in a dataset. Although substantial progress has been made on differentially private linear regression, existing…

Statistics Theory · Mathematics 2026-01-16 Getoar Sopa , Marco Avella Medina , Cynthia Rush

Linear programming is a fundamental tool in a wide range of decision systems. However, without privacy protections, sharing the solution to a linear program may reveal information about the underlying data used to formulate it, which may be…

Optimization and Control · Mathematics 2025-11-11 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

Existing work on differentially private linear regression typically assumes that end users can precisely set data bounds or algorithmic hyperparameters. End users often struggle to meet these requirements without directly examining the data…

Machine Learning · Computer Science 2023-06-02 Travis Dick , Jennifer Gillenwater , Matthew Joseph

Data scientists often seek to identify the most important features in high-dimensional datasets. This can be done through $L_1$-regularized regression, but this can become inefficient for very high-dimensional datasets. Additionally,…

Machine Learning · Computer Science 2024-08-26 Ryan Swope , Amol Khanna , Philip Doldo , Saptarshi Roy , Edward Raff

Linear regression is a fundamental tool for statistical analysis. This has motivated the development of linear regression methods that also satisfy differential privacy and thus guarantee that the learned model reveals little about any one…

Machine Learning · Computer Science 2023-03-20 Kareem Amin , Matthew Joseph , Mónica Ribero , Sergei Vassilvitskii

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

In this paper, we initiate the systematic study of solving linear programs under differential privacy. The first step is simply to define the problem: to this end, we introduce several natural classes of private linear programs that capture…

Data Structures and Algorithms · Computer Science 2018-03-16 Justin Hsu , Aaron Roth , Tim Roughgarden , Jonathan Ullman

We provide computationally efficient, differentially private algorithms for the classical regression settings of Least Squares Fitting, Binary Regression and Linear Regression with unbounded covariates. Prior to our work, privacy…

Cryptography and Security · Computer Science 2022-02-24 Jason Milionis , Alkis Kalavasis , Dimitris Fotakis , Stratis Ioannidis

Users of a personalised recommendation system face a dilemma: recommendations can be improved by learning from data, but only if the other users are willing to share their private information. Good personalised predictions are vitally…

Machine Learning · Statistics 2018-02-12 Antti Honkela , Mrinal Das , Arttu Nieminen , Onur Dikmen , Samuel Kaski

Leveraging transfer learning has recently been shown to be an effective strategy for training large models with Differential Privacy (DP). Moreover, somewhat surprisingly, recent works have found that privately training just the last layer…

Machine Learning · Computer Science 2022-11-28 Harsh Mehta , Walid Krichene , Abhradeep Thakurta , Alexey Kurakin , Ashok Cutkosky
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