29 citations · 59 across the 7 of their papers we have counts for
7 papers
Time-Varying Data as Sheaves: an Invitation to Narratives
Wilmer Leal, Benjamin Merlin Bumpus, Jana K. Nickel +3
Modern science and engineering increasingly rely on time-varying data, yet the mathematical tools used to model temporal phenomena are often developed within separate disciplines,…
Towards a Unified Theory of Time-Varying Data
Benjamin Merlin Bumpus, James Fairbanks, Martti Karvonen +2
What is a time-varying graph, a time-varying topological space, or, more generally, a mathematical structure that evolves over time? In this work, we lay the foundations for a gene…
Diachronic Data Analysis Supports and Refines Conceptual Metaphor Theory
Marie Teich, Wilmer Leal, Juergen Jost
As a contribution to metaphor analysis, we introduce a statistical, data-based investigation with empirical analysis of long-standing conjectures and a first-ever empirical explora…
Dialectica Petri Nets
Elena Di Lavore, Wilmer Leal, Valeria de Paiva
The categorical modeling of Petri nets has received much attention recently. The Dialectica construction has also had its fair share of attention. We revisit the use of the Dialect…
Edge-based analysis of networks: Curvatures of graphs and hypergraphs
Marzieh Eidi, Amirhossein Farzam, Wilmer Leal +2
The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergr…
Formal structure of periodic system of elements
Wilmer Leal, Guillermo Restrepo
For more than 150 years the structure of the periodic system of the chemical elements has intensively motivated research in different areas of chemistry and physics. However, there…
Forman-Ricci Curvature for Hypergraphs
Wilmer Leal, Guillermo Restrepo, Peter F. Stadler +1
In contrast to graph-based models for complex networks, hypergraphs are more general structures going beyond binary relations of graphs. For graphs, statistics gauging different as…