local dimension estimation 1metric spaces 1negative type 1peel neighborhoods 1stratified manifolds 1topology 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AT2026
Magnitude homology and Euler characteristics of directed acyclic graphs
Steve Huntsman
We develop a scalable approach to computing the magnitude homology Euler characteristic for directed acyclic graphs based on decategorification. Along with motivating mathematical…
math.MG2026
Peel neighborhoods
Steve Huntsman
The paper defines a canonical, parameter‑free notion of peel neighborhoods in finite metric spaces of strict negative type and shows how they can be computed efficiently to estimat…
math.MG2026
Peeling metric spaces of strict negative type
Steve Huntsman
We describe a unified and computationally tractable framework for finding outliers in, and maximum-diversity subsets of, finite metric spaces of strict negative type. Examples of s…