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Research PaperResearchia:202605.13071

High-arity Sample Compression

Leonardo N. Coregliano

Abstract

Recently, a series of works have started studying variations of concepts from learning theory for product spaces, which can be collected under the name high-arity learning theory. In this work, we consider a high-arity variant of sample compression schemes and we prove that the existence of a high-arity sample compression scheme of non-trivial quality implies high-arity PAC learnability. --- Source: arXiv:2605.12465v1 - http://arxiv.org/abs/2605.12465v1 PDF: https://arxiv.org/pdf/2605.12465v1 Or...

Submitted: May 13, 2026Subjects: Machine Learning; Data Science

Description / Details

Recently, a series of works have started studying variations of concepts from learning theory for product spaces, which can be collected under the name high-arity learning theory. In this work, we consider a high-arity variant of sample compression schemes and we prove that the existence of a high-arity sample compression scheme of non-trivial quality implies high-arity PAC learnability.


Source: arXiv:2605.12465v1 - http://arxiv.org/abs/2605.12465v1 PDF: https://arxiv.org/pdf/2605.12465v1 Original Link: http://arxiv.org/abs/2605.12465v1

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Date:
May 13, 2026
Topic:
Data Science
Area:
Machine Learning
Comments:
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