
Combinatorial Conditions for Directed Collapsing
The purpose of this article is to study directed collapsibility of direc...
read it

A DomainOblivious Approach for Learning Concise Representations of Filtered Topological Spaces
Persistence diagrams have been widely used to quantify the underlying fe...
read it

Persistence Diagrams for Efficient Simplicial Complex Reconstruction
Topological descriptors have been shown to be useful for summarizing and...
read it

Reconstructing Embedded Graphs from Persistence Diagrams
The persistence diagram (PD) is an increasingly popular topological desc...
read it

Topological and Geometric Reconstruction of Metric Graphs in R^n
We propose an algorithm to estimate the topology of an embedded metric g...
read it

ThresholdBased Graph Reconstruction Using Discrete Morse Theory
Discrete Morse theory has recently been applied in metric graph reconstr...
read it

Approximate Nearest Neighbors in the Space of Persistence Diagrams
Persistence diagrams are important tools in the field of topological dat...
read it

Challenges in Reconstructing Shapes from Euler Characteristic Curves
Shape recognition and classification is a problem with a wide variety of...
read it

Learning Simplicial Complexes from Persistence Diagrams
Topological Data Analysis (TDA) studies the shape of data. A common topo...
read it

Functional Summaries of Persistence Diagrams
One of the primary areas of interest in applied algebraic topology is pe...
read it
Brittany Terese Fasy
is this you? claim profile