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Paper · arXiv

Certification-Enhanced Generalization Bounds

We investigate the use of formal methods to provide tight and sound generalization bounds for learning algorithms. By casting the traditional notion of algorithmic stability as a specification to be verified, we demonstrate that recent advances in reachability analysis can yield provable bounds on the generalization of a given model and algorithm on a sample dataset. As sample-specific algorithmic stability is insufficient to bound the usual distributional notion of generalization, we develop a novel concentration inequality to connect the sample-specific results of formal certification algorithms to the required distributional analysis for bounding the expected generalization gap. The re...

AuthorsLeo Elmecker-Plakolm, Matthew Wicker
Primary categorycs.LG
Published5 October 2026
Last updated at source5 October 2026
cs.LG
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