2 citations · 2 across the 6 of their papers we have counts for
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math.AT2018
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…
stat.CO2018
Topological Inference of Manifolds with Boundary
Yuan Wang, Bei Wang
Given a set of data points sampled from some underlying space, there are two important challenges in geometric and topological data analysis when dealing with sampled data: reconst…
cs.CG2018
Homology-Preserving Dimensionality Reduction via Manifold Landmarking and Tearing
Lin Yan, Yaodong Zhao, Paul Rosen +2
Dimensionality reduction is an integral part of data visualization. It is a process that obtains a structure preserving low-dimensional representation of the high-dimensional data.…