  This is a review to appear as a contribution to the edited volume "Spin Glass
Theory & Far Beyond - Replica Symmetry Breaking after 40 Years", World
Scientific. It showcases a selection of contributions from the spin glass
community at large to high-dimensional statistics, by focusing on three
important graph-based models and methodologies having deeply impacted the
field: inference of graphs (a.k.a. direct coupling analysis), inference from
graphs (the community detection problem), and the dynamic cavity method, which
in particular allows for inference from graphs encoding causal relations.
