A Rate Separation for Agnostic Direct Sums
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Computer Science > Machine Learning
Title:A Rate Separation for Agnostic Direct Sums
Abstract:Hanneke, Moran, and Waknine \cite{HannekeMoranWaknine2024} asked how the agnostic PAC learning curve of the direct sum $C^r$ depends on the single-instance learning curve $\epsagn(n\mid C)$ and on $r$. We show that the single-instance learning rate does not determine the direct-sum rate. Let $\F$ be the class of the two constant binary functions and let $\G$ consist of the zero function and the identity function. Both classes have agnostic learning curve of order $n^{-1/2}$.
| Subjects: | Machine Learning (cs.LG) |
| Cite as: | arXiv:2608.06951 [cs.LG] |
| (or arXiv:2608.06951v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2608.06951
arXiv-issued DOI via DataCite (pending registration)
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