2 papers
math.AT2026
Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
Tobias Timofeyev, Christopher Potvin, Benjamin Jones +3
By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA)…
cs.CR2023
Hypergraph Topological Features for Autoencoder-Based Intrusion Detection for Cybersecurity Data
Bill Kay, Sinan G. Aksoy, Molly Baird +8
In this position paper, we argue that when hypergraphs are used to capture multi-way local relations of data, their resulting topological features describe global behaviour. Conseq…