1 citations · 1 across the 1 of their papers we have counts for
13 papers
Topology Applied to Machine Learning: From Global to Local
Henry Adams, Michael Moy
Through the use of examples, we explain one way in which applied topology has evolved since the birth of persistent homology in the early 2000s. The first applications of topology…
On Vietoris--Rips complexes of hypercube graphs
Michał Adamaszek, Henry Adams
We describe the homotopy types of Vietoris-Rips complexes of hypercube graphs at small scale parameters. In more detail, let be the vertex set of the hypercube graph with $2^…
Operations on Metric Thickenings
Henry Adams, Johnathan Bush, Joshua Mirth
Many simplicial complexes arising in practice have an associated metric space structure on the vertex set but not on the complex, e.g. the Vietoris-Rips complex in applied topology…
Lions and contamination, triangular grids, and Cheeger constants
Henry Adams, Leah Gibson, Jack Pfaffinger
Suppose each vertex of a graph is originally occupied by contamination, except for those vertices occupied by lions. As the lions wander on the graph, they clear the contamination…
Representations of Energy Landscapes by Sublevelset Persistent Homology: An Example With n-Alkanes
Joshua Mirth, Yanqin Zhai, Johnathan Bush +8
Encoding the complex features of an energy landscape is a challenging task, and often chemists pursue the most salient features (minima and barriers) along a highly reduced space,…
Capturing Dynamics of Time-Varying Data via Topology
Lu Xian, Henry Adams, Chad M. Topaz +1
One approach to understanding complex data is to study its shape through the lens of algebraic topology. While the early development of topological data analysis focused primarily…