Hypergraphs are hot: they're starting to become a more frequent topic of discussion, sometimes even sketched as successors to knowledge graphs and graph-structured data generally. Kurt Cagle's recent ...

Abstract: We revisit semi-supervised learning on hypergraphs. Same as previous approaches, our method uses a convex program whose objective function is not everywhere differentiable. We exploit the ...

The topic to be covered in this article is an interesting concept called "Hypergraphs". It would be covered in multiple articles across the series (not necessarily in ordered manner). This first ...

Many real-world systems exhibit higher-order interactions beyond pairwise links. Such interactions are modeled by undirected hypergraphs where edges can connect any number of vertices, but without ...

Network scientists have shown that there is great value in studying pairwise interactions between components in a system. From a linear algebra point of view, this involves defining and evaluating ...

Abstract: The technique of equality saturation, which equips graphs with an equivalence relation, has proven effective for program optimisation. We give a categorical semantics to these structures, ...

Fifty years ago, Paul Erdős and two other mathematicians came up with a graph theory problem that they thought they might solve on the spot. A team of mathematicians has finally settled it. In the ...

Hyperbase is a foundational library for working with Semantic Hypergraphs (SH), which make it possible to represent a natural language sentence such as "Einstein ...

To visualize a simple hypergraph, just define the nodes, the hyperlinks and the weight of each node in their respective hyperlinks. var graph={} graph.nodes= [ {"id ...