2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/32463We prove general exponential moment inequalities for averages of [0,1]-valued iid random variables and use them to tighten the PAC Bayesian Theorem. The logarithmic dependence on the sample count in the enumerator of the PAC Bayesian bound is halved.9 pagesMachine LearningArtificial IntelligenceI.5.1A Note on the PAC Bayesian Theoremtext