3 papers
math.AT2026
A Stable Distance Persistence Homology for Dynamic Bayesian Network Clustering
Will Bales, Carmen Rovi
Dynamic Bayesian networks (DBNs) are a widely used framework for modeling systems whose probabilistic structure evolves over time. Standard inference methods focus on local conditi…
cs.SD2025
Algebraic Structures in Microtonal Music
Veronica Flynn, Carmen Rovi
We will discuss how certain group theory structures are found in music theory. Western music splits the octave into 12 equal tones called half-steps. We can take this division furt…
math.AT2025
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras
Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…