Hypergraphs capture multi-way relationships in data, and they have consequently seen a
number of applications in higher-order network analysis, computer vision, geometry …

We adapt previous research on category theory and topological unsupervised learning to
develop a functorial perspective on manifold learning, also known as nonlinear …

We bring together topological data analysis, applied category theory, and machine learning
to study multiparameter hierarchical clustering. We begin by introducing a procedure for …

Hypernetworks, sometimes called hypergraphs, generalize the concept of a graph by
allowing edges to join any number of vertices, gaining the ability to capture multi-way …

The actinide elements are playing larger roles in modern life, finding uses in nuclear energy,
remote power sources, medical uses as radiotherapy isotopes, as well as in geological …