2 papers
math.CO2026
A new family of distances over partially ordered sets
Astrid A. Olave
Order theory is increasingly relevant in applications where data is naturally structured as a partially ordered set (poset), often requiring meaningful notions of distance over pos…
math.AT2026
Bounding the interleaving distance on concrete categories using a loss function
Astrid A. Olave, Elizabeth Munch
The interleaving distance is arguably the most widely used metric in topological data analysis (TDA) due to its applicability to a wide array of inputs of interest, such as (multip…