This is the summer-school organized by the International Laboratory of Stochastic Algorithms and High Dimensional Inference (HDI Lab) at the National Research University Higher School of Economics (Moscow, Russia). It continues the series of annual joint meetings of researchers working on modern aspects of high-dimensional probability and statistics as well as their fruitful applications. Key topics of this event are: Markov chain Monte-Carlo (MCMC) high-dimensional inference matrix completion statistical optimal transport concentration of measure random matrices statistics of random processes mathematics of machine learning and deep-learning The scientific programme of the workshop consists of four mini-courses, four invited sessions (IS) and a poster session (posters will be selected by the Programme Committee). The conference will be held at the Kochubey Mansion (HSE Management Training Centre), 4 Radischeva Str., Pushkin, St. Petersburg, RUSSIA Registration of any person willing to participate is mandatory. We provide accomodation for invited speakers and junior researchers (BS, MS, PhD and young postdocs) selected by the organisation committee. Since the number of places we provide is limited, junior participants have to submit a short motivation letter and CV (in the registration form). We also provide travel grants for young people from Russia. The organisation committee will carefully review all the applications and will proceed with the strongest candidates based on their skills and motivation.