The aim of the MHC2021 international conference is to bring together for three days some particularly renowned and active researchers in the latent variable models community in order to share their most recent contributions, introduce a community of young researchers (Ph.D. or postdocs students) to this topic in constant change, but also and principally create a momentum in which interesting further perspectives will be discussed such as theoretical open problems, new modeling requirements driven by applications, and in particular today’s role of latent variable models in understanding massive and high dimensional data structures. Both physical participation as well as participation by video conferencing will be possible.