54 citations · 227 across the 23 of their papers we have counts for
7 papers · 1 filter
Sheaf-Theoretic Stratification Learning from Geometric and Topological Perspectives
Adam Brown, Bei Wang
In this paper, we investigate a sheaf-theoretic interpretation of stratification learning from geometric and topological perspectives. Our main result is the construction of strati…
On Homotopy Types of Vietoris-Rips Complexes of Metric Gluings
Michal Adamaszek, Henry Adams, Ellen Gasparovic +6
We study Vietoris-Rips complexes of metric wedge sums and metric gluings. We show that the Vietoris-Rips complex of a wedge sum, equipped with a natural metric, is homotopy equival…
Persistent Homology Guided Force-Directed Graph Layouts
Ashley Suh, Mustafa Hajij, Bei Wang +2
Graphs are commonly used to encode relationships among entities, yet their abstractness makes them difficult to analyze. Node-link diagrams are popular for drawing graphs, and forc…
Visualizing Sensor Network Coverage with Location Uncertainty
Tim Sodergren, Jessica Hair, Jeff M. Phillips +1
We present an interactive visualization system for exploring the coverage in sensor networks with uncertain sensor locations. We consider a simple case of uncertainty where the loc…
Visual Detection of Structural Changes in Time-Varying Graphs Using Persistent Homology
Mustafa Hajij, Bei Wang, Carlos Scheidegger +1
Topological data analysis is an emerging area in exploratory data analysis and data mining. Its main tool, persistent homology, has become a popular technique to study the structur…
Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes
Paul Rosen, Anil Seth, Betsy Mills +5
The current generation of radio and millimeter telescopes, particularly the Atacama Large Millimeter Array (ALMA), offers enormous advances in observing capabilities. While these a…
A Complete Characterization of the 1-Dimensional Intrinsic Cech Persistence Diagrams for Metric Graphs
Ellen Gasparovic, Maria Gommel, Emilie Purvine +4
Metric graphs are special types of metric spaces used to model and represent simple, ubiquitous, geometric relations in data such as biological networks, social networks, and road…