9 citations · 34 across the 8 of their papers we have counts for
8 papers
Understanding the Power of Persistence Pairing via Permutation Test
Chen Cai, Yusu Wang
Recently many efforts have been made to incorporate persistence diagrams, one of the major tools in topological data analysis (TDA), into machine learning pipelines. To better unde…
A limit theorem for the st Betti number of layer- subgraphs in random graphs
Minghao Tian, Yusu Wang
We initiate the study of local topology of random graphs. The high level goal is to characterize local "motifs" in graphs. In this paper, we consider what we call the layer- sub…
Local Versus Global Distances for Zigzag Persistence Modules
Ellen Gasparovic, Maria Gommel, Emilie Purvine +4
This short note establishes explicit and broadly applicable relationships between persistence-based distances computed locally and globally. In particular, we show that the bottlen…
An Improved Cost Function for Hierarchical Cluster Trees
Dingkang Wang, Yusu Wang
Hierarchical clustering has been a popular method in various data analysis applications. It partitions a data set into a hierarchical collection of clusters, and can provide a glob…
The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs
Ellen Gasparovic, Maria Gommel, Emilie Purvine +4
Metric graphs are meaningful objects for modeling complex structures that arise in many real-world applications, such as road networks, river systems, earthquake faults, blood vess…
SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch-collapse
Tamal K. Dey, Dayu Shi, Yusu Wang
In topological data analysis, a point cloud data P extracted from a metric space is often analyzed by computing the persistence diagram or barcodes of a sequence of Rips complexes…