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arXiv · 2605.12465

High-arity Sample Compression

Leonardo N. Coregliano·William Opich
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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.

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Leonardo N. Coregliano, William Opich. 2026-05-12. High-arity Sample Compression. https://arxiv.org/abs/2605.12465

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