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- Washington State UniversityUS8 papers
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Showing cs.CGShow all
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cs.CG2024
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.CG2023★ 1 cited
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…
cs.CG2017★ 4 cited
Interesting Paths in the Mapper
Ananth Kalyanaraman, Methun Kamruzzaman, Bala Krishnamoorthy
The Mapper produces a compact summary of high dimensional data as a simplicial complex. We study the problem of quantifying the interestingness of subpopulations in a Mapper, which…