This study will examine whether a combination of breathing training during wake and targeted reactivation of the training during sleep can induce breathing changes during sleep and subsequent cognitive benefits during wake. Participants with obstructive sleep apnea (who have not yet been treated for sleep apnea) will be recruited. Participants will engage in breath training for one week in their own homes and to record their sleep at home using commercially available mobile devices and subsequently have their sleep monitored for one night of polysomnography recordings plus targeted reactivation in a laboratory setting.