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Paper · arXiv

Preferent Compression Bounds Are Tight

The lack of rigorous safety and performance certificates remains a key bottleneck to the deployment of modern learning-based methods. Sample compression has recently emerged as a powerful tool for deriving such certificates, with particularly sharp bounds available for algorithms satisfying a so-called preference property -- also known as stability in the learning theory literature. These bounds find direct application across domains as different as the Scenario Approach, Pick-to-Learn, and Support Vector methods. However, whether they are tight has remained an open problem. In this paper we resolve this question affirmatively and show that the state-of-the-art bound for preferent compres...

AuthorsDario Paccagnan, Marius Tirlea
Primary categorycs.LG
Published28 September 2026
Last updated at source28 September 2026
cs.LGeess.SYmath.OCmath.PR
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