  Higher-order network analysis uses the ideas of hypergraphs, simplicial
complexes, multilinear and tensor algebra, and more, to study complex systems.
These are by now well established mathematical abstractions. What's new is that
the ideas can be tested and refined on the type of large-scale data arising in
today's digital world. This research area therefore is making an impact across
many applications. Here, we provide a brief history, guide, and survey.
