11 citations · 28 across the 7 of their papers we have counts for
8 papers
Too Many or Too Few? Sampling Bounds for Topological Descriptors
Brittany Terese Fasy, Maksym Makarchuk, Samuel Micka +1
Topological descriptors, such as the Euler characteristic function and the persistence diagram, have grown increasingly popular for representing complex data. Recent work showed th…
Efficient Graph Reconstruction and Representation Using Augmented Persistence Diagrams
Brittany Terese Fasy, Samuel Micka, David L. Millman +2
Persistent homology is a tool that can be employed to summarize the shape of data by quantifying homological features. When the data is an object in , the (augmented)…
A Faithful Discretization of Verbose Directional Transforms
Brittany Terese Fasy, Samuel Micka, David L. Millman +2
The persistent homology transform, Betti function transform, and Euler characteristic transform represent a shape with a multiset of persistence diagrams, Betti functions, or Euler…
Reconstructing Embedded Graphs from Persistence Diagrams
Robin Lynne Belton, Brittany Terese Fasy, Rostik Mertz +6
The persistence diagram (PD) is an increasingly popular topological descriptor. By encoding the size and prominence of topological features at varying scales, the PD provides impor…
Approximate Nearest Neighbors in the Space of Persistence Diagrams
Brittany Terese Fasy, Xiaozhou He, Zhihui Liu +3
Persistence diagrams are important tools in the field of topological data analysis that describe the presence and magnitude of features in a filtered topological space. However, cu…
Challenges in Reconstructing Shapes from Euler Characteristic Curves
Brittany Terese Fasy, Samuel Micka, David L. Millman +2
Shape recognition and classification is a problem with a wide variety of applications. Several recent works have demonstrated that topological descriptors can be used as summaries…