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Showing 2023Show all
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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.CY2023★ 2 cited
Message in a Bottle -- An Update to the Golden Record
Jonathan H. Jiang, Anamaria Berea, Heather Bowden +14
In this first part of our series, we delve into the foundational aspects of the "Message in a Bottle" (henceforth referred to as MIAB). This study stands as a continuation of the l…