SoK: A Review of Differentially Private Linear Models For High-Dimensional Data

Amol Khanna; Edward Raff; Nathan Inkawhich

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arXiv · 2404.01141

SoK: A Review of Differentially Private Linear Models For High-Dimensional Data

Amol Khanna·Edward Raff·Nathan Inkawhich

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Abstract

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 optimization techniques for high-dimensional differentially private linear models, but a systematic comparison between these methods does not exist. We close this gap by providing a comprehensive review of optimization methods for private high-dimensional linear models. Empirical tests on all methods demonstrate robust and coordinate-optimized algorithms perform best, which can inform future research. Code for implementing all methods is released online.

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BibTeX RIS

Amol Khanna, Edward Raff, Nathan Inkawhich. 2024-04-01. SoK: A Review of Differentially Private Linear Models For High-Dimensional Data. https://arxiv.org/abs/2404.01141

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