172 citations · 564 across the 31 of their papers we have counts for
8 papers · 1 filter
The Persistent Topology of Optimal Transport Based Metric Thickenings
Henry Adams, Facundo Mémoli, Michael Moy +1
A metric thickening of a given metric space is any metric space admitting an isometric embedding of . Thickenings have found use in applications of topology to data analysis…
Counting Rocks! An Introduction to Combinatorics
Henry Adams, Kelly Emmrich, Maria Gillespie +2
This textbook, "Counting Rocks!", is the written component of an interactive introduction to combinatorics at the undergraduate level. Throughout the text, we link to videos where…
The topology of projective codes and the distribution of zeros of odd maps
Henry Adams, Johnathan Bush, Florian Frick
We show that the size of codes in projective space controls structural results for zeros of odd maps from spheres to Euclidean space. In fact, this relation is given through the to…
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…
Geometric Approaches on Persistent Homology
Henry Adams, Baris Coskunuzer
We introduce several geometric notions, including the width of a homology class, to the theory of persistent homology. These ideas provide geometric interpretations of persistence…
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…
Efficient Evader Detection in Mobile Sensor Networks
Henry Adams, Deepjyoti Ghosh, Clark Mask +2
Suppose one wants to monitor a domain with sensors, each sensing a small ball-shaped region, but the domain is hazardous enough that one cannot control the placement of the sensors…