High-arity Sample Compression
Leonardo N. Coregliano, William Opich
TLDR
This paper shows that high-arity sample compression schemes imply high-arity PAC learnability, extending learning theory to product spaces.
Key contributions
- Introduces the concept of high-arity sample compression schemes.
- Demonstrates that high-arity sample compression implies high-arity PAC learnability.
- Extends fundamental learning theory concepts to high-arity product spaces.
Why it matters
This work is crucial for advancing high-arity learning theory, an emerging field for product spaces. It establishes a fundamental link between sample compression and PAC learnability in this new context, deepening our theoretical understanding of learning.
Original 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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