We establish a new theory which unifies various aspects of topological approaches for data science, by being applicable both to point cloud data and to graph data, including networks beyond pairwise ...

Metric geometry is a considerable extension of Riemannian geometry that, in recent decades, has proven very useful. A newer direction described in this article can moreover be viewed as an extension ...

The success of symmetries in explaining the physical world, from general relativity to the standard model of particle physics and all phases of matter, raises the question of why the same concept ...

John Baez has written several nice blog posts already about decorated cospans, corelations, and his work with Brendan Fong on passive linear networks of circuits; we hope the present post navigates a ...