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cs.CG2025
Box Filtration
Enrique Alvarado, Prashant Gupta, Bala Krishnamoorthy
We define a new framework that unifies the filtration and mapper approaches from TDA, and present efficient algorithms to compute it. Termed the box filtration of a PCD, we grow bo…
cs.CG2025
Structural Validation Of Synthetic Power Distribution Networks Using The Multiscale Flat Norm
Kostiantyn Lyman, Rounak Meyur, Bala Krishnamoorthy +1
We study the problem of comparing a pair of geometric networks that may not be similarly defined, i.e., when they do not have one-to-one correspondences between their nodes and edg…
cs.CG2024
A Normalized Bottleneck Distance on Persistence Diagrams and Homology Preservation under Dimension Reduction
Nathan H. May, Bala Krishnamoorthy, Patrick Gambill
Persistence diagrams (PDs) are used as signatures of point cloud data. Two clouds of points can be compared using the bottleneck distance d_B between their PDs. A potential drawbac…