Bayes in action in deep learning and dictionary learning Julyan Arbel, Hong-Phuong Dang, Clement Elvira, Cedric Herzet, Zacharie Naulet and Mariia Vladimirova ESAIM: ProcS, 74 (2023) 90-107 Published online: 18 December 2023 DOI: 10.1051/proc/202374090