Privately Learning Decision Lists and a Differentially Private Winnow

Fuente: arXiv
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Autori principali: Bun, Mark, Fang, William
Natura: Preprint
Pubblicazione: 2026
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author Bun, Mark
Fang, William
author_facet Bun, Mark
Fang, William
contents We give new differentially private algorithms for the classic problems of learning decision lists and large-margin halfspaces in the PAC and online models. In the PAC model, we give a computationally efficient algorithm for learning decision lists with minimal sample overhead over the best non-private algorithms. In the online model, we give a private analog of the influential Winnow algorithm for learning halfspaces with mistake bound polylogarithmic in the dimension and inverse polynomial in the margin. As an application, we describe how to privately learn decision lists in the online model, qualitatively matching state-of-the art non-private guarantees.
format Preprint
id arxiv_https___arxiv_org_abs_2602_07370
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Privately Learning Decision Lists and a Differentially Private Winnow
Bun, Mark
Fang, William
Machine Learning
Cryptography and Security
We give new differentially private algorithms for the classic problems of learning decision lists and large-margin halfspaces in the PAC and online models. In the PAC model, we give a computationally efficient algorithm for learning decision lists with minimal sample overhead over the best non-private algorithms. In the online model, we give a private analog of the influential Winnow algorithm for learning halfspaces with mistake bound polylogarithmic in the dimension and inverse polynomial in the margin. As an application, we describe how to privately learn decision lists in the online model, qualitatively matching state-of-the art non-private guarantees.
title Privately Learning Decision Lists and a Differentially Private Winnow
topic Machine Learning
Cryptography and Security
url https://arxiv.org/abs/2602.07370