Not All Learnable Distribution Classes are Privately Learnable

Fuente: arXiv
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Autores principales: Bun, Mark, Kamath, Gautam, Mouzakis, Argyris, Singhal, Vikrant
Formato: Preprint
Publicado: 2024
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author Bun, Mark
Kamath, Gautam
Mouzakis, Argyris
Singhal, Vikrant
author_facet Bun, Mark
Kamath, Gautam
Mouzakis, Argyris
Singhal, Vikrant
contents We give an example of a class of distributions that is learnable up to constant error in total variation distance with a finite number of samples, but not learnable under $(\varepsilon, δ)$-differential privacy with the same target error. This weakly refutes a conjecture of Ashtiani.
format Preprint
id arxiv_https___arxiv_org_abs_2402_00267
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Not All Learnable Distribution Classes are Privately Learnable
Bun, Mark
Kamath, Gautam
Mouzakis, Argyris
Singhal, Vikrant
Data Structures and Algorithms
Cryptography and Security
Machine Learning
We give an example of a class of distributions that is learnable up to constant error in total variation distance with a finite number of samples, but not learnable under $(\varepsilon, δ)$-differential privacy with the same target error. This weakly refutes a conjecture of Ashtiani.
title Not All Learnable Distribution Classes are Privately Learnable
topic Data Structures and Algorithms
Cryptography and Security
Machine Learning
url https://arxiv.org/abs/2402.00267