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Hauptverfasser: Li, Bo, Wang, Wei, Ye, Peng
Format: Preprint
Veröffentlicht: 2024
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2407.20640
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author Li, Bo
Wang, Wei
Ye, Peng
author_facet Li, Bo
Wang, Wei
Ye, Peng
contents Machine Learning has made remarkable progress in a wide range of fields. In many scenarios, learning is performed on datasets involving sensitive information, in which privacy protection is essential for learning algorithms. In this work, we study pure private learning in the agnostic model -- a framework reflecting the learning process in practice. We examine the number of users required under item-level (where each user contributes one example) and user-level (where each user contributes multiple examples) privacy and derive several improved upper bounds. For item-level privacy, our algorithm achieves a near optimal bound for general concept classes. We extend this to the user-level setting, rendering a tighter upper bound than the one proved by Ghazi et al. (2023). Lastly, we consider the problem of learning thresholds under user-level privacy and present an algorithm with a nearly tight user complexity.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20640
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Improved Bounds for Pure Private Agnostic Learning: Item-Level and User-Level Privacy
Li, Bo
Wang, Wei
Ye, Peng
Machine Learning
Machine Learning has made remarkable progress in a wide range of fields. In many scenarios, learning is performed on datasets involving sensitive information, in which privacy protection is essential for learning algorithms. In this work, we study pure private learning in the agnostic model -- a framework reflecting the learning process in practice. We examine the number of users required under item-level (where each user contributes one example) and user-level (where each user contributes multiple examples) privacy and derive several improved upper bounds. For item-level privacy, our algorithm achieves a near optimal bound for general concept classes. We extend this to the user-level setting, rendering a tighter upper bound than the one proved by Ghazi et al. (2023). Lastly, we consider the problem of learning thresholds under user-level privacy and present an algorithm with a nearly tight user complexity.
title Improved Bounds for Pure Private Agnostic Learning: Item-Level and User-Level Privacy
topic Machine Learning
url https://arxiv.org/abs/2407.20640