activity
20002026
most citedPath homologies of deep feedforward networks

15 citations · 54 across the 31 of their papers we have counts for

collaborators

32 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

We introduce the canonical, parameter-free, and efficiently computable notion of peel neighborhoods in a finite metric space of strict negative type. Using a soft threshold to uppe…

math.MG2025

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…

math.CT2023

Magnitude of arithmetic scalar and matrix categories

Steve Huntsman

We develop tools for explicitly constructing categories enriched over generating data and that compose via ordinary scalar and matrix arithmetic arithmetic operations. We character…

cs.AI2022★ 1 cited

Quality-diversity in dissimilarity spaces

Steve Huntsman

The theory of magnitude provides a mathematical framework for quantifying and maximizing diversity. We apply this framework to formulate quality-diversity algorithms in generic dis…

math.AP2022

The Kuramoto-Sivashinsky Equation

John C. Baez, Steve Huntsman, Cheyne Weis

The Kuramoto-Sivashinsky equation was introduced as a simple 1-dimensional model of instabilities in flames, but it turned out to mathematically fascinating in its own right. One r…