Artificial intelligence (AI) is currently based largely on black-box machine learning models
which lack interpretability. The field of eXplainable AI (XAI) strives to address this major …

We draw some squares and apply some homology in the hope of classifying different flavors
of functors in a neat way. Our wishes are granted and we obtain homological measures of …

In many sciences one often builds large systems out of smaller constituent parts.
Mathematically, to study these systems, one can attach data to the component pieces via a …

For a finite quiver Q, we study the reachability category ReachQ. We investigate the
properties of ReachQ from both a categorical and a topological viewpoint. In particular, we …